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normal form representation

Толкование Перевод

1 normal form

т. игр = game in normal form

The normal form is a matrix representation of a simultaneous game. — Нормальной формой называется матричное представление одновременной игры.

Англо-русский экономический словарь > normal form
2 вербальное представление

verbal presentation

В вербальном представлении, напечатанном, вещательном или записанном на магнитофоне, иллюстрации принимают форму визуализации посредством графиков, чертежей и рисунков, включенных в печатный материал или предложенных отдельно (слайды, фильмы). — In a verbal presentation, whether printed, broadcast or recorded, illustration takes the form of visualizing through graphs, drawings, and pictures included in printed matter or offered separately (slides, films).

представление в нормальный форме — normal form representation

Можем рассмотреть определение игры непосредственно в терминах стратегий и связанных с ними выигрышей. Второй способ представления игры называется нормальной (или стратегической) формой. — We may think of specifying the game directly in terms of strategies and their associated payoffs. This second way to represent a game is known as the normal (or strategic) form.

представление (игры) в развернутой форме — extensive form representation (of a game)

Развернутая форма фиксирует, кто и когда делает ход, какие действия может предпринять каждый игрок, что известно игрокам в тот момент, когда они делают ходы, какой исход является функцией действий, предпринятых игроками, а также выигрыши игроков в результате каждого возможного исхода. — The extensive form captures who moves when, what actions each player can take, what players know when they move, what the outcome is a function of the actions taken by the players, and the players' payoffs from each possible outcome.

представление неопределенности на состояниях природы — state of nature representation of uncertainty

представление ожидаемой полезности — expected utility representation

представление показателей ценового искажения, количественное — quantification of price distortion

Уравнение (5) дает количественное представление показателей (квантификацию) ценового искажения, но с нормативной точки зрения приемлемой мерой искажения являются потери в общественном благосостоянии. — Equation (5) provides a quantification of price distortion, but from a normative viewpoint the appropriate measure of distortion is the loss of social welfare.

представление полезности, расширенное — extended utility representation

Пригодность расширенного представления полезности в основном является результатом поведения множеств безразличия в окрестности линии денежной определённости - множества случайных переменных, которые в каждом состоянии дают одинаковую сумму. — The usefulness of an extended utility representation is primarily a result of the behavior of the indifference sets around the money certainty line, the set of random variables that pay the same amount in every state.

представление потоковыми графами — flow graph representation

представление производных, матричное — matrix notation for derivatives

Возможно, самое важное математическое правило сохранения непосредственности учитывает матричное представление. — Perhaps the most important mathematical rule to keep straight regards matrix notation.

В матричном представлении эффекты представляются следующим образом. — In matrix notation, the wealth effects are represented as follows.

представление учебного материала — presentation of learning matter

В качестве образовательной деятельности представление учебного материала должно вовлекать студентов в интеллектуальную деятельность, которая заставляет их проверять свои идеи, размышлять, сравнивать и применять критический анализ к тому, что они изучают. — As an educational endeavor the presentation of learning matter must engage students in an intellectual activity that makes them try out ideas, reflect, compare and apply critical judgement to what is studied.

Russian-English Dictionary "Microeconomics" > вербальное представление
3 код

code, designator, ( в телефонии) digit, logical number, code pattern, pattern, (города, зоны) prefix

* * *
код м.
1. ( система символов и правил представления информации) code

2. ( закодированный элемент информации — знак, слово) code combination, code (Примечание. При переводе на английский язык слово code часто опускается., напр. код числа́ number; ши́на ко́да числа́ number bus; код си́мвола character.)

осуществля́ть код аппарату́рно — instrument a code

преобразо́вывать (оди́н) код (в друго́й) — translate (from) a code (into another)

присва́ивать код свз. — assign a code to …

реализова́ть код — instrument a code

э́тот код мо́жно реализова́ть с по́мощью просто́го реги́стра сдви́га — this code may be instrumented using a simple shift register

реализова́ть код аппарату́рно — instrument a code

снима́ть код (напр. с кодирующего диска) — pick off [read] the code

код автоотве́тчика — answer-back code

код а́дреса — address (code)

код а́дреса числа́ — number address (code)

алфави́тный код — alphabetic code

амплиту́дно-и́мпульсный код — pulse-amplitude code

бло́чный код — block code

код Бодо́ — Baudot code

код Бозе́-Чаудху́ри — Bose-Chaudhuri code

код Бофо́рта — Beaufort notation

бу́квенно-цифрово́й код — alpha(nu)meric code

бу́квенный код — alphabetic code

взве́шенный код — weighted code

вре́мя-и́мпульсный код — pulse-position code (Примечание. Не следует путать этот термин с pulse-time code, который относится ко всем видам импульсной модуляции)

код Гре́я — Gray [reflected binary] code

группово́й код — group code

код «два из пяти́» — two-out-of-five code

двои́чно-десяти́чный код — binary-coded decimal [BCD] code

двои́чно-пятери́чный код — biquinary code

двои́чный код — binary code

двои́чный, натура́льный код — straight [normal, true] binary code

двои́чный, норма́льный код — straight [normal, true] binary code

двои́чный, рефле́ксный код — reflected binary code

двои́чный код с прове́ркой или защи́той на чё́тность или нечё́тность — even-parity or odd-parity check code

двухпозицио́нный код — double-current [two-condition] code

двухреги́стровый код — two-case code

десяти́чный код — decimal code

десяти́чный, число́-и́мпульсный код — decimal unit-counting code

код ДКОИ ( десятичный код обмена информацией) — EBCDI code

едини́чно-десяти́чный код — decimal unit-counting code

код запро́са — interrogation code

код зна́ка — sign code

и́мпульсный код — pulse code

интерва́льно-и́мпульсный код — pulse-interval code

код кома́нды — instruction code

корректи́рующий код — error-correcting code

маши́нный код — machine code

метеорологи́ческий код — meteorological notation

мнемони́ческий код — mnemonic code

код Мо́рзе — Morse code

код Мо́рзе, Междунаро́дный — International Morse Code

неравноме́рный код — variable-length code

несистемати́ческий код — non-systematic code

код опера́ции — operation code, opcode

по ( такому-то) ко́ду опера́ции никаки́х де́йствий маши́на не соверша́ет — (so-and-so) operation code performs no operations

по ( такому-то) [m2]ко́ду (опера́ции) содержи́мое яче́йки засыла́ется в … — (so-and-so) operation code causes the contents of the … location to be placed in [copied, sent, transferred to] …

код опознава́ния — identity code

паралле́льный код — parallel code

код переме́нной длины́ — variable-length code

перестано́вочный код — permutation code

код перфока́рт(ы) — punched card code

код перфоле́нт(ы) — punched tape code

позицио́нный код — position code

по́лный код — complete code

помехоусто́йчивый код — noise-immune code

код поря́дка числа́ — exponent (code)

после́довательный код — serial code

код представле́ния числа́ — form, representation

код представле́ния числа́, дополни́тельный

1. ( двоичная система) two's [2's] complement form, two's [2's] complement representation

2. ( десятичная система) ten's [10's] complement form, ten's [10's] complement representation

3. ( любая система счисления) radix [true] complement form, radix [true] complement representation

код представле́ния числа́, обра́тный

1. ( двоичная система) ones [1's] complement form, ones [1's] complement representation

2. ( десятичная система) nine's [9's] complement form, nine's [9's] complement representation

3. ( любая система счисления) diminished radix [radix-minus-one] complement form, diminished radix [radix-minus-one] complement representation

код представле́ния числа́, прямо́й — sign-and-magnitude form, sign-and-magnitude representation

пятизна́чный код — five-digit [five-unit] code

пятиразря́дный код — ( двоичный) rive-bit code; ( любой) five-digit [five-unit] code

равноме́рный код — equal-length [uniform] code

равноме́рный, многоэлеме́нтный код — equal-length multiunit code

рефле́ксный код — reflected code

самодополня́ющийся код — self-complementing code

самопроверя́ющийся код — self-checking code

код серьё́зности оши́бки — severity code

сигна́льный код — signalling code

код с избы́тком три — excess-three code

си́мвольный код — character code

код с исправле́нием двойны́х оши́бок — double-error correcting code

код с исправле́нием одино́чных оши́бок — single-error correcting code

код с исправле́нием оши́бок — error-correcting code

системати́ческий код — systematic code

код с контро́лем по чё́тности — parity-check code

служе́бный код свз. — service code, service abbreviations

код с минима́льной избы́точностью — minimum redundancy code

код с минима́льным ко́довым расстоя́нием — minimum-distance code

код с обнаруже́нием и исправле́нием оши́бок — error detecting-and-correcting code

код с обнаруже́нием одино́чных оши́бок — single-error-detecting code

код с обнаруже́нием оши́бок — error-detecting code

сокращё́нный код — short [brevity] code

код с расстоя́нием едини́ца — continuous progressive [unit-distance] code

телегра́фный код — telegraph code

код телета́йпа — teleprinter code

трои́чный код — ternary code

код управле́ния переда́чей информа́ции — information control code

управля́ющий код — control code

фа́зово-и́мпульсный код — pulse-position code

код Хэ́мминга — Hamming code

цикли́ческий код — cyclic code

цифрово́й код — numeric(al) code

часто́тно-и́мпульсный код — pulse-frequency code

часто́тный код — frequency code

код числа́ ( число в закодированном виде) — coded number, number (code)

число́-и́мпульсный код — unit-counting code

широ́тно-и́мпульсный код — pulse-width [pulse-duration] code

шифрова́льный код — cipher code

Русско-английский политехнический словарь > код
4 theorem

теорема

that establishes the theorem — тем самым теорема доказана

the theorem is proved — теорема доказана

theorem implies — из теоремы следует, что…

this concludes the proof of theorem — это завершает доказательство теоремы

under hypothesis of theorem — по условию теоремы

- absolute geometrical theorem

- abstract theorem

- additivity theorem

- adequacy theorem

- alleged theorem

- analytical enumeration theorem
- analytical hierarchy theorem
- analyticity theorem

- approximation theorem

- arithmetical enumeration theorem
- arithmetical hierarchy theorem
- associative theorem

- asymptotic passage theorem

- asymptotic theorem

- auxiliary theorem

- average theorem

- azygetic theorem

- bachet's theorem

- ballot theorem

- binomial theorem

- boundary theorem

- cardinality theorem

- Cauchy residue theorem

- central limit theorem

- central statistical theorem

- characterization theorem

- class existence theorem

- classical theorem

- classification theorem

- closed graph theorem
- closed range theorem
- closure theorem

- cobordism theorem

- cobweb theorem

- coding theorem

- coincidence theorem

- combination theorem

- combinatorial theorem

- compactness theorem

- comparability theorem

- comparison theorem

- compensation theorem

- complementary theorem

- completeness theorem

- composition theorem

- conductor-ramification theorem

- conservation theorem

- consistency theorem

- continuation theorem

- continuity theorem

- convergence theorem

- converse limit theorem

- converse theorem

- convexity theorem

- convolution theorem

- cosine theorem

- covering theorem

- decomposition theorem

- deducible theorem

- deduction theorem

- definability theorem

- density theorem

- descriptive theorem

- determinant theorem

- dimension theorem

- direct theorem

- distortion theorem

- divergence theorem

- dominance theorem

- double recursion theorem

- dual theorem

- duality theorem

- dynamical theorem

- edge-of-the-wedge theorem

- either-or theorem

- elementary theorem

- elimination theorem

- embedding theorem

- enclosure theorem

- enumeration theorem

- equal probability theorem

- equality theorem

- equilibrium theorem

- ergodic theorem

- exactness theorem

- excision theorem

- existence theorem

- existence theorem

- existential theorem

- expansion theorem

- explicit theorem

- extension theorem

- extreme-value theorem

- factor theorem

- factorization theorem

- faltung theorem

- fan theorem

- feasibility theorem

- Fermat's last theorem

- finiteness theorem

- five color theorem

- fixed-point theorem

- formal theorem

- formally deducible theorem
- formally provable theorem
- formation theorem

- friendship theorem

- fundamental theorem of algebra

- fundamental theorem

- fuzzy theorem

- gap theorem

- general theorem

- generalized theorem

- going-up theorem

- graphical theorem

- hierarchy theorem

- holonomy theorem

- homotopy addition theorem
- implicit function theorem
- incompleteness theorem

- index theorem

- individual ergodic theorem
- initial value theorem - integral representation theorem
- integral theorem

- integrality theorem

- integration theorem

- interchange theorem

- intermediary theorem

- intermediate value theorem

- interpolation theorem

- interpretability theorem

- interpretation theorem

- invariance theorem

- inverse function theorem

- inverse theorem

- inverse transform theorem

- inversion theorem

- isomorphism theorem

- isoperimetric theorem

- joint consistency theorem

- Karhunen-Loeve theorem

- kernel theorem

- key renewal theorem

- least-upper-bound theorem

- limitative theorem

- limiting theorem

- linearity theorem

- local description theorem
- local limit theorem
- local theorem

- local uniformization theorem

- local-global theorem

- localization theorem

- logical theorem

- main theorem

- map color theorem

- martingale convergence theorem

- martingale theorem

- matching theorem

- max-flow min-cut theorem
- maximal ergodic theorem
- maximal theorem

- maximality theorem

- maximum-modulus theorem

- mean ergodic theorem
- mean value theorem
- mean-value theorem

- measurability theorem

- metamathematical theorem

- metrization theorem

- minimax theorem

- model extension theorem

- monodromy theorem

- monotonicity theorem

- multinomial theorem

- multiplication theorem

- Nagy-Faias theorem

- negation of theorem

- negation theorem

- Nikodym theorem

- nonexistence theorem

- normal addition theorem
- normal form theorem
- normalization theorem

- Nyquist-Kotelnikov-Shannon sampling theorem

- occurrence theorem

- open mapping theorem

- operator theorem

- opposite theorem

- ordering theorem

- orientability theorem

- orthogonality theorem

- orthographic theorem

- oscillation theorem

- painting theorem

- parallel axis theorem

- parametric theorem

- parametrization theorem

- periodicity theorem

- permutation theorem

- Plancherel theorem

- pointwise ergodic theorem

- preliminary theorem

- preparation theorem

- prime number theorem

- principal theorem

- probability theorem

- product theorem

- prolongation theorem

- proximity theorem

- quantifiers elimination theorem

- quantitative theorem

- quasiergodic theorem

- random ergodic theorem
- ratio limit theorem - rational root theorem
- recurrence theorem

- recursion theorem

- reduction theorem

- reflection theorem

- regularity theorem

- relativized theorem

- renewal density theorem

- replacement theorem

- representability theorem

- representation theorem

- residue theorem

- resonance theorem

- reverse-flow theorem

- root-counting theorem

- sampling theorem

- second limit theorem
- second mean value theorem
- selection theorem

- semantical theorem

- semilocal theorem

- separation theorem

- seven color theorem

- sewing theorem

- shift theorem

- signature theorem

- similarity theorem

- similarity theorem

- similitude theorem

- single-valuedness theorem

- sinusoidal limit theorem

- six-color theorem

- soundness theorem

- special theorem

- spectral theorem

- stability theorem

- stationarity theorem

- strong theorem

- structure theorem

- substitution theorem

- subtle theorem

- summation theorem

- superposition theorem

- suspension theorem

- symmetry theorem

- syntactical theorem

- synthesis theorem

- tautology theorem

- theorem of alternatives

- theorem of choice

- theorem of closed graph
- theorem of consistency proofs - theorem of corresponding states
- theorem of mean

- theorem of numerical comparison

- theorem of residues

- theorem of sines

- theorem of total probability

- theorem of units

- Theveni's theorem

- three circle theorem
- three line theorem - three series theorem
- torsion theorem

- transference theorem

- translation theorem

- transposition theorem

- tree theorem

- triad theorem

- triple limit theorem

- truth theorem

- two constants theorem

- two triangles theorem

- ultraproduct theorem

- umbrellas theorem

- undecidability theorem

- unicity theorem

- uniform boundedness theorem
- uniform convergence theorem - uniform ergodic theorem - uniform mean value theorem
- uniformization theorem

- unique factorization theorem

- uniqueness theorem

- validity theorem

- Van Cittert-Zernike theorem

- vanishing theorem

- variant theorem

- virial theorem

- weak theorem

- well ordering theorem

- Wiener-Paley theorem

- work-kinetic energy theorem

English-Russian scientific dictionary > theorem
5 БИБЛИОГРАФИЯ

Мы приняли следующие сокращения для наиболее часто упоминаемых книг и журналов:

IJP - International Journal of Psycho-analysis

JAPA - Journal of the American Psychoanalytic Association

SE - Standard Edition of the Complete Psychological Works of Sigmund Freud, ed. James Strachey (London: Hogarth Press and the Institute of Psycho-Analysis, 1953—74.)

PSOC - Psychoanalytic Study of the Child (New Haven: Yale University Press)

PQ - Psychoanalytic Quarterly

WAF - The Writings of Anna Freud, ed. Anna Freud (New York: International Universities Press, 1966—74)

PMC - Psychoanalysis The Major Concepts ed. Burness E. Moore and Bernard D. Fine (New Haven: Yale University Press)

\

О словаре: _about - Psychoanalytic Terms and Concepts

\

1. Abend, S. M. Identity. PMC. Forthcoming.

2. Abend, S. M. (1974) Problems of identity. PQ, 43.

3. Abend, S. M., Porder, M. S. & Willick, M. S. (1983) Borderline Patients. New York: Int. Univ. Press.

4. Abraham, K. (1916) The first pregenital stage of libido. Selected Papers. London, Hogarth Press, 1948.

5. Abraham, K. (1917) Ejaculatio praecox. In: selected Papers. New York Basic Books.

6. Abraham, K. (1921) Contributions to the theory of the anal character. Selected Papers. New York: Basic Books, 1953.

7. Abraham, K. (1924) A Short study of the development of the libido, viewed in the light of mental disorders. In: Selected Papers. London: Hogarth Press, 1927.

8. Abraham, K. (1924) Manic-depressive states and the pre-genital levels of the libido. In: Selected Papers. London: Hogarth Press, 1949.

9. Abraham, K. (1924) Selected Papers. London: Hogarth Press, 1948.

10. Abraham, K. (1924) The influence of oral erotism on character formation. Ibid.

11. Abraham, K. (1925) The history of an impostor in the light of psychoanalytic knowledge. In: Clinical Papers and Essays on Psychoanalysis. New York: Basic Books, 1955, vol. 2.

12. Abrams, S. (1971) The psychoanalytic unconsciousness. In: The Unconscious Today, ed. M. Kanzer. New York: Int. Univ. Press.

13. Abrams, S. (1981) Insight. PSOC, 36.

14. Abse, D W. (1985) The depressive character In Depressive States and their Treatment, ed. V. Volkan New York: Jason Aronson.

15. Abse, D. W. (1985) Hysteria and Related Mental Disorders. Bristol: John Wright.

16. Ackner, B. (1954) Depersonalization. J. Ment. Sci., 100.

17. Adler, A. (1924) Individual Psychology. New York: Harcourt, Brace.

18. Akhtar, S. (1984) The syndrome of identity diffusion. Amer. J. Psychiat., 141.

19. Alexander, F. (1950) Psychosomatic Medicine. New York: Norton.

20. Allen, D. W. (1974) The Feat- of Looking. Charlottesvill, Va: Univ. Press of Virginia.

21. Allen, D. W. (1980) Psychoanalytic treatment of the exhibitionist. In: Exhibitionist, Description, Assessment, and Treatment, ed. D. Cox. New York: Garland STPM Press.

22. Allport, G. (1937) Personality. New York: Henry Holt.

23. Almansi, R. J. (1960) The face-breast equation. JAPA, 6.

24. Almansi, R. J. (1979) Scopophilia and object loss. PQ, 47.

25. Altman, L. Z. (1969) The Dream in Psychoanalysis. New York: Int. Univ. Press.

26. Altman, L. Z. (1977) Some vicissitudes of love. JAPA, 25.

27. American Psychiatric Association. (1987) Diagnostic and Statistical Manual of Mental Disorders, 3d ed. revised. Washington, D. C.

28. Ansbacher, Z. & Ansbacher, R. (1956) The Individual Psychology of Alfred Adler. New York: Basic Books.

29. Anthony, E. J. (1981) Shame, guilt, and the feminine self in psychoanalysis. In: Object and Self, ed. S. Tuttman, C. Kaye & M. Zimmerman. New York: Int. Univ. Press.

30. Arlow. J. A. (1953) Masturbation and symptom formation. JAPA, 1.

31. Arlow. J. A. (1959) The structure of the deja vu experience. JAPA, 7.

32. Arlow. J. A. (1961) Ego psychology and the study of mythology. JAPA, 9.

33. Arlow. J. A. (1963) Conflict, regression and symptom formation. IJP, 44.

34. Arlow. J. A. (1966) Depersonalization and derealization. In: Psychoanalysis: A General Psychology, ed. R. M. Loewenstein, L. M. Newman, M. Schur & A. J. Solnit. New York: Int. Univ. Press.

35. Arlow. J. A. (1969) Fantasy, memory and reality testing. PQ, 38.

36. Arlow. J. A. (1969) Unconscious fantasy and disturbances of mental experience. PQ, 38.

37. Arlow. J. A. (1970) The psychopathology of the psychoses. IJP, 51.

38. Arlow. J. A. (1975) The structural hypothesis. PQ, 44.

39. Arlow. J. A. (1977) Affects and the psychoanalytic situation. IJP, 58.

40. Arlow. J. A. (1979) Metaphor and the psychoanalytic situation. PQ, 48.

41. Arlow. J. A. (1979) The genesis of interpretation. JAPA, 27 (suppl.).

42. Arlow. J. A. (1982) Problems of the superego concept. PSOC, 37.

43. Arlow. J. A. (1984) Disturbances of the sense of time. PQ, 53.

44. Arlow. J. A. (1985) Some technical problems of countertransference. PQ, 54.

45. Arlow, J. A. & Brenner, C. (1963) Psychoanalytic Concepts and the Structural Theory, New York: Int. Univ. Press.

46. Arlow, J. A. & Brenner, C. (1969) The psychopathology of the psychoses. IJP, 50.

47. Asch, S. S. (1966) Depression. PSOC, 21.

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191. Erikson, E. H. (1956) The problem of ego identity. JAPA, 4.

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227. Freud, A. (1952) The mutual influences in the development of ego and id. WAF, 4.

228. Freud, A. (1958) Adolescence. WAF, 5.

229. Freud, A. (1962) Assessment of childhood disturbances. PSOC, 17.

230. Freud, A. (1962) Comments on psychic trauma. In: Furst (1967).

231. Freud, A. (1963) The concept of developmental lines. PSOC, 18.

232. Freud, A. (1965) Assessment of pathology, part 2. WAF, 6.

233. Freud, A. (1965) Normality and Pathology in Childhood. New York: Int. Univ. Press.

234. Freud, A. (1970) The infantile neurosis. WAF, 7.

235. Freud, A. (1971) Comments on aggression. IJP, 53.

236. Freud, A. (1971) The infantile neurosis. PSOC, 26.

237. Freud, A. (1981) Insight. PSOC, 36.

238. Freud, S. (1887—1902) Letters to Wilhelm Fliess. New York: Basic Books, 1954.

239. Freud, S. (1891) On the interpretation of the aphasias. SE, 3.

240. Freud, S. (1893—95) Studies on hysteria. SE, 2.

241. Freud, S. (1894) The neuropsychoses of defence. SE, 3.

242. Freud, S. (1895) On the ground for detaching a particular syndrome from neurasthenia under the description "anxiety neurosis". SE, 3.

243. Freud, S. (1895) Project for a scientific psychology. SE, 1.

244. Freud, S. (1896) Draft K, Jameary 1, 1896, Neuroses of defense (A Christmas fairytale). In: Extracts from the Fliess papers (1892—99).

245. Freud, S. (1896) Further remarks on the neuropsychosis of defense. SE, 3.

246. Freud, S. (1896) Heredity and aetiology of neurosis. SE, 3.

247. Freud, S. (1898) Sexuality in the aetiology of the neurosis. SE, 3.

248. Freud, S. (1899) Screen memories. SE, 3.

249. Freud, S. (1900) The interpretation of dreams. SE, 4—5.

250. Freud, S. (1901) Childhood memories and screen memories SE, 6.

251. Freud, S. (1901) On dreams. SE, 5.

252. Freud, S. (1901) The psychopathology of everyday life. SE, 6.

253. Freud, S. (1905) Fragments of an analysis of a case of hysteria. SE, 7.

254. Freud, S. (1905) Jokes and their relation to the unconscious. SE, 8.

255. Freud, S. (1905) Psysical (or mental) treatment. SE, 7.

256. Freud, S. (1905) Three essays on the theory of sexuality. SE. 7.

257. Freud, S. (1908) Character and anal erotism. SE, 9.

258. Freud, S. (1908) On the sexual theories of children. SE, 9.

259. Freud, S. (1908) Preface to Wilhelm Stekel's Nervous Anxiety-States and Their Treatment. SE, 9.

260. Freud, S. (1909) Analysis of a phobia in a five-year-old boy. SE, 10.

261. Freud, S. (1909) Family romances. SE, 9.

262. Freud, S. (1909) Notes upon a case of obsessional neurosis. SE, 10.

263. Freud, S. (1910) A special type of choice of object made by men. SE, 11.

264. Freud, S. (1910) The autithentical meaning of primal words. SE, 11.

265. Freud, S. (1910) The future prospects of psychoanalytic therapy. SE, 11.

266. Freud, S. (1910) The psychoanalytic view of psychogenic disturbance of vision. SE, 11.

267. Freud, S. (1911) Formulations on the two principles of mental functioning. SE, 12.

268. Freud, S. (1911) Notes on a case of paranoia. SE, 12.

269. Freud, S. (1911) Psychoanalytic notes on an autobiographical account of a case of paranoia. SE, 12.

270. Freud, S. (1911—15) Papers on technique. SE, 12.

271. Freud, S. (1912) Contribution to a discussion on masturbation. SE, 12.

272. Freud, S. (1912) On the universal tendency to abasement in the sphere of love. SE, 11.

273. Freud, S. (1912) The dynamics of transference. SE, 12.

274. Freud, S. (1913) Editor's note The disposition to obsessional neurosis. SE, 12.

275. Freud, S. (1913) On beginning the treatment. SE, 12.

276. Freud, S. (1913) Totem and taboo. SE, 13.

277. Freud, S. (1914) Fausse reconnaissance (deja reconte) in psychoanalytic treatment. SE, 13.

278. Freud, S. (1914) Mourning and melancholia. SE, 15.

279. Freud, S. (1914) Observations on transference love. SE, 12.

280. Freud, S. (1914) On narcissism. SE. 14.

281. Freud, S. (1914) On the history of the psychoanalytic movement. SE, 14.

282. Freud, S. (1914) Remembering, repeating, and working-through. SE, 12.

283. Freud, S. (1914—16) Some character types met with in psychoanalysis. (II) Those wrecked by success SE, 14.

284. Freud, S. (1915) Das UnbewuЯte. Gesammelte Werke, 10.

285. Freud, S. (1915) Instincts and their vicissitudes. SE, 14.

286. Freud, S. (1915) Observation on transference-love. SE, I2.

287. Freud, S. (1915) Repression. SE, 14.

288. Freud, S. (1915) The unconscious. SE, 14.

289. Freud, S. (1915—17) Introductory lectures on psychoanalysis. SE, 15 & 16.

290. Freud, S. (1916) Introductory lectures on psychoanalysis. SE, 16.

291. Freud, S. (1916) Some character types met with in psychoanalytic work. SE, 16.

292. Freud, S. (1917) A metapsychological supplement to the theory of dreams. SE, 14.

293. Freud, S. (1917) Introductory lectures on psychoanalysis. SE, 16.

294. Freud, S. (1917) Mourning and melancholia. SE, 14.

295. Freud, S. (1917) On transformations of instinct as exemplified in anal erotism. SE, 17.

296. Freud, S. (1918) From the history of an infantile neurosis. SE, 17.

297. Freud, S. (1919) "A child is being beaten". SE, 17.

298. Freud, S. (1919) Lines of advance in psychoanalytic therapy. SE, 17.

299. Freud, S. (1919) The uncanny. SE, 17.

300. Freud, S. (1920) Beyond the pleasure principle. SE, 18.

301. Freud, S. (1920) The Psychogenesis of a case of homosexuality in a woman. SE, 18.

302. Freud, S. (1921) Group psychology and the analysis of the ego. SE, 18.

303. Freud, S. (1923) The ego and the id. SE, 19.

304. Freud, S. (1923) The infantile genital organization. SE, 19.

305. Freud, S. (1924) A short account of psychoanalysis. SE, 19.

306. Freud, S. (1924) Neurosis and psychosis. SE, 19.

307. Freud, S. (1924) The dissolution of the Oedipus complex SE, 19.

308. Freud, S. (1924) The economic problem of masochism. SE, 19.

309. Freud, S. (1924) The loss of reality in neurosis and psychosis. SE, 19.

310. Freud, S. (1925) Negation. SE, 19.

311. Freud, S. (1925) Some psychical consequences of the anatomical distinction between the sexes. SE, 19.

312. Freud, S. (1926) Inhibitions, symptoms and anxiety. SE, 20.

313. Freud, S. (1926) The question of lay analysis. SE, 20.

314. Freud, S. (1927) Fetishism. SE, 21.

315. Freud, S. (1930) Civilization and its discontents. SE, 21.

316. Freud, S. (1931) Female sexuality. SE, 21.

317. Freud, S. (1931) Libidinal types. SE, 21.

318. Freud, S. (1933) Femininity. SE, 22,.

319. Freud, S. (1933) New introductory lectures on psycho-analysis. SE, 22.

320. Freud, S. (1933) The psychology of women. New introductory lectures on psychoanalysis. SE, 22.

321. Freud, S. (1936) A disturbance of memory on the Acropolis. SE, 22.

322. Freud, S. (1937) Analysis terminable and interminable. SE, 23.

323. Freud, S. (1937) Constructions in analysis. SE, 23.

324. Freud, S. (1938) An outline on psychoanalysis. SE, 23.

325. Freud, S. (1938) Splitting of the ego in the process of defense. SE, 23.

326. Freud, S. (1939) Moses and monotheism. SE, 23.

327. Freud, S. (1940) An outline of psychoanalysis. SE, 23.

328. Frosch, J. (1966) A note on reality constancy. In: Psychoanalysis — A General Psychology, ed. R. M. Loewenstein, L. M. Newman, M. Schur & A. J. Solnit. New York: Int. Univ. Press.

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Словарь психоаналитических терминов и понятий > БИБЛИОГРАФИЯ
6 Artificial Intelligence

   1) Programs and the Complexity of Human Mental Processes

   In my opinion, none of [these programs] does even remote justice to the complexity of human mental processes. Unlike men, "artificially intelligent" programs tend to be single minded, undistractable, and unemotional. (Neisser, 1967, p. 9)

   2) Artificial Intelligence Is an Engineering Discipline

   Future progress in [artificial intelligence] will depend on the development of both practical and theoretical knowledge.... As regards theoretical knowledge, some have sought a unified theory of artificial intelligence. My view is that artificial intelligence is (or soon will be) an engineering discipline since its primary goal is to build things. (Nilsson, 1971, pp. vii-viii)

   3) A Sceptical View of Artificial Intelligence

   Most workers in AI [artificial intelligence] research and in related fields confess to a pronounced feeling of disappointment in what has been achieved in the last 25 years. Workers entered the field around 1950, and even around 1960, with high hopes that are very far from being realized in 1972. In no part of the field have the discoveries made so far produced the major impact that was then promised.... In the meantime, claims and predictions regarding the potential results of AI research had been publicized which went even farther than the expectations of the majority of workers in the field, whose embarrassments have been added to by the lamentable failure of such inﬂated predictions....

   When able and respected scientists write in letters to the present author that AI, the major goal of computing science, represents "another step in the general process of evolution"; that possibilities in the 1980s include an all-purpose intelligence on a human-scale knowledge base; that awe-inspiring possibilities suggest themselves based on machine intelligence exceeding human intelligence by the year 2000 [one has the right to be skeptical]. (Lighthill, 1972, p. 17)

   4) Just as Astronomy Succeeded Astrology, the Discovery of Intellectual Processes in Machines Should Lead to a Science, Eventually

   Just as astronomy succeeded astrology, following Kepler's discovery of planetary regularities, the discoveries of these many principles in empirical explorations on intellectual processes in machines should lead to a science, eventually. (Minsky & Papert, 1973, p. 11)

   5) Problems in Machine Intelligence Arise Because Things Obvious to Any Person Are Not Represented in the Program

   Many problems arise in experiments on machine intelligence because things obvious to any person are not represented in any program. One can pull with a string, but one cannot push with one.... Simple facts like these caused serious problems when Charniak attempted to extend Bobrow's "Student" program to more realistic applications, and they have not been faced up to until now. (Minsky & Papert, 1973, p. 77)

   6) The Meaning of a Symbolic Description

   What do we mean by [a symbolic] "description"? We do not mean to suggest that our descriptions must be made of strings of ordinary language words (although they might be). The simplest kind of description is a structure in which some features of a situation are represented by single ("primitive") symbols, and relations between those features are represented by other symbols-or by other features of the way the description is put together. (Minsky & Papert, 1973, p. 11)

   7) The Principle of Artificial Intelligence

   [AI is] the use of computer programs and programming techniques to cast light on the principles of intelligence in general and human thought in particular. (Boden, 1977, p. 5)

   8) Artificial Intelligence Recognizes the Need for Knowledge in Its Systems

   The word you look for and hardly ever see in the early AI literature is the word knowledge. They didn't believe you have to know anything, you could always rework it all.... In fact 1967 is the turning point in my mind when there was enough feeling that the old ideas of general principles had to go.... I came up with an argument for what I called the primacy of expertise, and at the time I called the other guys the generalists. (Moses, quoted in McCorduck, 1979, pp. 228-229)

   9) Artificial Intelligence Is Psychology in a Particularly Pure and Abstract Form

   The basic idea of cognitive science is that intelligent beings are semantic engines-in other words, automatic formal systems with interpretations under which they consistently make sense. We can now see why this includes psychology and artificial intelligence on a more or less equal footing: people and intelligent computers (if and when there are any) turn out to be merely different manifestations of the same underlying phenomenon. Moreover, with universal hardware, any semantic engine can in principle be formally imitated by a computer if only the right program can be found. And that will guarantee semantic imitation as well, since (given the appropriate formal behavior) the semantics is "taking care of itself" anyway. Thus we also see why, from this perspective, artificial intelligence can be regarded as psychology in a particularly pure and abstract form. The same fundamental structures are under investigation, but in AI, all the relevant parameters are under direct experimental control (in the programming), without any messy physiology or ethics to get in the way. (Haugeland, 1981b, p. 31)

    10) There Are Many Types of Reasoning

   There are many different kinds of reasoning one might imagine:

    Formal reasoning involves the syntactic manipulation of data structures to deduce new ones following prespecified rules of inference. Mathematical logic is the archetypical formal representation. Procedural reasoning uses simulation to answer questions and solve problems. When we use a program to answer What is the sum of 3 and 4? it uses, or "runs," a procedural model of arithmetic. Reasoning by analogy seems to be a very natural mode of thought for humans but, so far, difficult to accomplish in AI programs. The idea is that when you ask the question Can robins ﬂy? the system might reason that "robins are like sparrows, and I know that sparrows can ﬂy, so robins probably can ﬂy."

    Generalization and abstraction are also natural reasoning process for humans that are difficult to pin down well enough to implement in a program. If one knows that Robins have wings, that Sparrows have wings, and that Blue jays have wings, eventually one will believe that All birds have wings. This capability may be at the core of most human learning, but it has not yet become a useful technique in AI.... Meta- level reasoning is demonstrated by the way one answers the question What is Paul Newman's telephone number? You might reason that "if I knew Paul Newman's number, I would know that I knew it, because it is a notable fact." This involves using "knowledge about what you know," in particular, about the extent of your knowledge and about the importance of certain facts. Recent research in psychology and AI indicates that meta-level reasoning may play a central role in human cognitive processing. (Barr & Feigenbaum, 1981, pp. 146-147)

    11) Programs Are Beginning to Do Things That Critics Have Asserted to Be Impossible

   Suffice it to say that programs already exist that can do things-or, at the very least, appear to be beginning to do things-which ill-informed critics have asserted a priori to be impossible. Examples include: perceiving in a holistic as opposed to an atomistic way; using language creatively; translating sensibly from one language to another by way of a language-neutral semantic representation; planning acts in a broad and sketchy fashion, the details being decided only in execution; distinguishing between different species of emotional reaction according to the psychological context of the subject. (Boden, 1981, p. 33)

    12) The Synthesis of Man and Machine

   Can the synthesis of Man and Machine ever be stable, or will the purely organic component become such a hindrance that it has to be discarded? If this eventually happens-and I have... good reasons for thinking that it must-we have nothing to regret and certainly nothing to fear. (Clarke, 1984, p. 243)

    13) The Thesis of Good Old-Fashioned Artificial Intelligence (GOFAI)

   The thesis of GOFAI... is not that the processes underlying intelligence can be described symbolically... but that they are symbolic. (Haugeland, 1985, p. 113)

    14) Artificial Intelligence Provides a Useful Approach to Psychological and Psychiatric Theory Formation

   It is all very well formulating psychological and psychiatric theories verbally but, when using natural language (even technical jargon), it is difficult to recognise when a theory is complete; oversights are all too easily made, gaps too readily left. This is a point which is generally recognised to be true and it is for precisely this reason that the behavioural sciences attempt to follow the natural sciences in using "classical" mathematics as a more rigorous descriptive language. However, it is an unfortunate fact that, with a few notable exceptions, there has been a marked lack of success in this application. It is my belief that a different approach-a different mathematics-is needed, and that AI provides just this approach. (Hand, quoted in Hand, 1985, pp. 6-7)

    15) Four Kinds of Artificial Intelligence

   We might distinguish among four kinds of AI.

   ♦ Nonpsychological AI

   Research of this kind involves building and programming computers to perform tasks which, to paraphrase Marvin Minsky, would require intelligence if they were done by us. Researchers in nonpsychological AI make no claims whatsoever about the psychological realism of their programs or the devices they build, that is, about whether or not computers perform tasks as humans do.

   ♦ Weak Psychological AI

   Research here is guided by the view that the computer is a useful tool in the study of mind. In particular, we can write computer programs or build devices that simulate alleged psychological processes in humans and then test our predictions about how the alleged processes work. We can weave these programs and devices together with other programs and devices that simulate different alleged mental processes and thereby test the degree to which the AI system as a whole simulates human mentality. According to weak psychological AI, working with computer models is a way of refining and testing hypotheses about processes that are allegedly realized in human minds.

   ♦ Strong Psychological AI

... According to this view, our minds are computers and therefore can be duplicated by other computers. Sherry Turkle writes that the "real ambition is of mythic proportions, making a general purpose intelligence, a mind." (Turkle, 1984, p. 240) The authors of a major text announce that "the ultimate goal of AI research is to build a person or, more humbly, an animal." (Charniak & McDermott, 1985, p. 7)

   ♦ Suprapsychological AI

   Research in this field, like strong psychological AI, takes seriously the functionalist view that mentality can be realized in many different types of physical devices. Suprapsychological AI, however, accuses strong psychological AI of being chauvinisticof being only interested in human intelligence! Suprapsychological AI claims to be interested in all the conceivable ways intelligence can be realized. (Flanagan, 1991, pp. 241-242)

    16) Determination of Relevance of Rules in Particular Contexts

   Even if the [rules] were stored in a context-free form the computer still couldn't use them. To do that the computer requires rules enabling it to draw on just those [ rules] which are relevant in each particular context. Determination of relevance will have to be based on further facts and rules, but the question will again arise as to which facts and rules are relevant for making each particular determination. One could always invoke further facts and rules to answer this question, but of course these must be only the relevant ones. And so it goes. It seems that AI workers will never be able to get started here unless they can settle the problem of relevance beforehand by cataloguing types of context and listing just those facts which are relevant in each. (Dreyfus & Dreyfus, 1986, p. 80)

    17) Form and Content Are Not Fundamentally Different

   Perhaps the single most important idea to artificial intelligence is that there is no fundamental difference between form and content, that meaning can be captured in a set of symbols such as a semantic net. (G. Johnson, 1986, p. 250)

    18) The Assumption That the Mind Is a Formal System

   Artificial intelligence is based on the assumption that the mind can be described as some kind of formal system manipulating symbols that stand for things in the world. Thus it doesn't matter what the brain is made of, or what it uses for tokens in the great game of thinking. Using an equivalent set of tokens and rules, we can do thinking with a digital computer, just as we can play chess using cups, salt and pepper shakers, knives, forks, and spoons. Using the right software, one system (the mind) can be mapped into the other (the computer). (G. Johnson, 1986, p. 250)

    19) A Statement of the Primary and Secondary Purposes of Artificial Intelligence

   The primary goal of Artificial Intelligence is to make machines smarter.

   The secondary goals of Artificial Intelligence are to understand what intelligence is (the Nobel laureate purpose) and to make machines more useful (the entrepreneurial purpose). (Winston, 1987, p. 1)

    20) Mathematical Logic Provides the Basis for Theory in AI

   The theoretical ideas of older branches of engineering are captured in the language of mathematics. We contend that mathematical logic provides the basis for theory in AI. Although many computer scientists already count logic as fundamental to computer science in general, we put forward an even stronger form of the logic-is-important argument....

   AI deals mainly with the problem of representing and using declarative (as opposed to procedural) knowledge. Declarative knowledge is the kind that is expressed as sentences, and AI needs a language in which to state these sentences. Because the languages in which this knowledge usually is originally captured (natural languages such as English) are not suitable for computer representations, some other language with the appropriate properties must be used. It turns out, we think, that the appropriate properties include at least those that have been uppermost in the minds of logicians in their development of logical languages such as the predicate calculus. Thus, we think that any language for expressing knowledge in AI systems must be at least as expressive as the first-order predicate calculus. (Genesereth & Nilsson, 1987, p. viii)

    21) Perceptual Structures Can Be Represented as Lists of Elementary Propositions

   In artificial intelligence studies, perceptual structures are represented as assemblages of description lists, the elementary components of which are propositions asserting that certain relations hold among elements. (Chase & Simon, 1988, p. 490)

    22) Definitions of Artificial Intelligence

   Artificial intelligence (AI) is sometimes defined as the study of how to build and/or program computers to enable them to do the sorts of things that minds can do. Some of these things are commonly regarded as requiring intelligence: offering a medical diagnosis and/or prescription, giving legal or scientific advice, proving theorems in logic or mathematics. Others are not, because they can be done by all normal adults irrespective of educational background (and sometimes by non-human animals too), and typically involve no conscious control: seeing things in sunlight and shadows, finding a path through cluttered terrain, fitting pegs into holes, speaking one's own native tongue, and using one's common sense. Because it covers AI research dealing with both these classes of mental capacity, this definition is preferable to one describing AI as making computers do "things that would require intelligence if done by people." However, it presupposes that computers could do what minds can do, that they might really diagnose, advise, infer, and understand. One could avoid this problematic assumption (and also side-step questions about whether computers do things in the same way as we do) by defining AI instead as "the development of computers whose observable performance has features which in humans we would attribute to mental processes." This bland characterization would be acceptable to some AI workers, especially amongst those focusing on the production of technological tools for commercial purposes. But many others would favour a more controversial definition, seeing AI as the science of intelligence in general-or, more accurately, as the intellectual core of cognitive science. As such, its goal is to provide a systematic theory that can explain (and perhaps enable us to replicate) both the general categories of intentionality and the diverse psychological capacities grounded in them. (Boden, 1990b, pp. 1-2)

    23) The Computer Can Not Be a Model of the Mind

   Because the ability to store data somewhat corresponds to what we call memory in human beings, and because the ability to follow logical procedures somewhat corresponds to what we call reasoning in human beings, many members of the cult have concluded that what computers do somewhat corresponds to what we call thinking. It is no great difficulty to persuade the general public of that conclusion since computers process data very fast in small spaces well below the level of visibility; they do not look like other machines when they are at work. They seem to be running along as smoothly and silently as the brain does when it remembers and reasons and thinks. On the other hand, those who design and build computers know exactly how the machines are working down in the hidden depths of their semiconductors. Computers can be taken apart, scrutinized, and put back together. Their activities can be tracked, analyzed, measured, and thus clearly understood-which is far from possible with the brain. This gives rise to the tempting assumption on the part of the builders and designers that computers can tell us something about brains, indeed, that the computer can serve as a model of the mind, which then comes to be seen as some manner of information processing machine, and possibly not as good at the job as the machine. (Roszak, 1994, pp. xiv-xv)

    24) Computers Will Not Always Be Inferior to Human Brains

   The inner workings of the human mind are far more intricate than the most complicated systems of modern technology. Researchers in the field of artificial intelligence have been attempting to develop programs that will enable computers to display intelligent behavior. Although this field has been an active one for more than thirty-five years and has had many notable successes, AI researchers still do not know how to create a program that matches human intelligence. No existing program can recall facts, solve problems, reason, learn, and process language with human facility. This lack of success has occurred not because computers are inferior to human brains but rather because we do not yet know in sufficient detail how intelligence is organized in the brain. (Anderson, 1995, p. 2)

Historical dictionary of quotations in cognitive science > Artificial Intelligence
7 bajo

adj.

1 low.

2 short, small.

3 low, tawdry, base.

4 low, contemptible, lowly, base.

5 low-lying, low-down.

6 hushed, soft, soft-sounding.

adv.

1 softly, in a low voice, low.

Let's talk low because the baby's sleep Hablemos bajo porque el niño duerme.

2 low, in a low position, near ground level, near the floor.

prep.

1 under, below, beneath, underneath.

2 under.

3 under, under the jurisdiction of.

m.

1 bass.

2 bass, double bass, bass guitar.

3 bass singer, bass voice, bass.

4 hem, turn-up, hemline, turnup.

5 low lying ground.

pres.indicat.

1^st person singular (yo) present indicative of spanish verb: bajar.

* * *

bajo

► adjetivo

1 (gen) low

■ una casa baja a low house

■ precios bajos low prices

■ el río está bajo the river is low

■ pon la música, pero baja put the music on low

2 (persona) short, not tall

■ su padre es muy bajo her father is very short

3 (cabeza) bowed, held low; (ojos) lowered, downcast

■ rezaba con la cabeza baja she prayed with her head bowed

4 (marea) out

■ la marea está baja the tide is out

5 (despreciable) despicable, contemptible, base

6 (territorio, río) lower

■ la baja Navarra lower Navarre

7 (época) later

■ la Baja Edad Media the late Middle Ages

8 (inferior) poor, low

■ es de baja calidad it's poor quality

■ tu rendimiento es muy bajo your performance is very poor

————————

bajo

► nombre masculino

1 (piso) ground floor, US first floor

2 (de prenda) bottoms plural, US cuff

3 MÚSICA (instrumento) bass; (contrabajo) double bass

► nombre masulino o femenino

1 MÚSICA (músico) bass player; (cantante) bass

► adverbio

1 (en el aire) low

■ el avión vuela bajo para evitar el radar the plane flies low to avoid the radar

2 (voz) softly, quietly, in a low voice

■ habla muy bajo she speaks very quietly

► preposición

1 under

■ pasamos la noche bajo las estrellas we spent the night under the stars

■ bajo ningún concepto under no circumstances

■ bajo el yugo del dictador under the yoke of the dictator

2 (temperatura) below

■ 10 grados bajo cero 10 degrees below zero

► nombre masculino plural bajos

1 (planta baja) ground floor; (sótano) basement

\

FRASEOLOGÍA

por lo bajo (disimuladamente) on the sly 2 (en voz baja) in a low voice 3 (sin exagerar) conservatively

bajas pasiones animal passions

bajos fondos underworld sing

* * *
1. prep.
1) under

2) beneath

3) below
2. adv.
1) low

2) softly, quietly
3. (f. - baja)
adj.

1) low

2) short

3) lower

4) soft

5) base, vile
4. noun m.
1) bass

2) first floor

* * *

1. ADJ

1) (=de poca altura) [objeto] low; [persona] short; [parte] lower, bottom; [tierra] low-lying; [agua] shallow

una silla muy baja — a very low chair

mi hermano es muy bajo — my brother is very short

en la parte baja de la ciudad — in the lower part of the town

planta baja — ground floor, first floor (EEUU)

los bajos fondos — the underworld sing

2) (=inclinado)

contestó con la cabeza baja — she answered with her head bowed

con los ojos bajos — with downcast eyes

3) (=reducido, inferior) [precios, temperaturas, frecuencia] low; [calidad] low, poor

de baja calidad — low-quality, poor-quality

de bajo contenido en grasas — low-fat

bajo en calorías — low-calorie

la temporada baja — the low season

• estar bajo de algo, estar bajo de ánimo o de moral — to be in low spirits

estar bajo de forma (física) — to be unfit, be out of shape

4) [sonido] faint, soft; [voz, tono] low

hablar en voz baja — to speak quietly o in a low voice

decir algo por lo bajo — to say sth under one's breath

hacer algo por lo bajo — to do sth secretly

5) [etapa]

en la baja Edad Media — in the late Middle Ages

bajo latín — Low Latin

6) [oro, plata] with a high level of impurities

7) [color] (=apagado) dull; (=pálido) pale

8) (=humilde) low, humble; [clase] lower; [condición] lowly; [barrio] poor; [tarea] menial

9) pey (=vulgar) common, ordinary; (=mezquino) base, mean

10)

por lo bajo — (=a lo menos) at (the) least

2. SM

1) (Cos) [de vestido] hem; [de pantalones] turn-up, cuff (EEUU)

2) [de edificio] (=piso) ground floor, first floor (EEUU)

vivo en un bajo — I live on the ground floor

bajo comercial — ground-floor o (EEUU) first-floor business premises

3) (Mús) (=instrumento) bass; (=voz) bass; (=guitarrista) bass (guitar) player, bassist

Elena toca el bajo en un grupo — Elena plays bass (guitar) in a group

bajo profundo — basso profundo

4) pl bajos [de edificio] ground floor sing, first floor sing (EEUU); [de coche] underside; euf [del cuerpo] private parts

5) (=hondonada) hollow

6) (Náut) = bajío 1)

3.

ADV [volar] low; [tocar, cantar] quietly, softly

el avión volaba muy bajo — the plane was flying very low

hablar bajo — (=en voz baja) to speak quietly, speak softly; (=tener una voz suave) to be softly spoken, be soft spoken

¡más bajo, por favor! — quieter, please!

4. PREP

1) (=debajo de) under

Juan llevaba un libro bajo el brazo — Juan was carrying a book under his arm

• bajo cero — below zero

estamos a dos grados bajo cero — it's two degrees below zero

• bajo la lluvia — in the rain

• bajo tierra — underground

toda la familia está ya bajo tierra — the whole family are dead and buried

2) (=dependiente de, sometido a) under

bajo Napoleón — under Napoleon

bajo los efectos de la droga — under the influence of drugs

bajo el título de... — under the title of...

bajo mi punto de vista — from my point of view

bajo el reinado de — in the reign of

está bajo la tutela de su tío — her uncle is her legal guardian
fianza 1), juramento 1), llave 1)
* * *
I
- ja adjetivo

1) [ser] < persona> short

2) (indicando posición, nivel)

a) [ser] < techo> low; < tierras> low-lying

b) [estar] <lámpara/cuadro/nivel> low

la parte baja de la estantería — the lower shelves of the bookcase

la marea está baja — the tide is out

c) ( bajado)

tener las persianas bajas — to have the blinds down

caminar con la mirada baja — to walk (along) with one's eyes on the ground

3)

a) <calificación/precio/número> low; < temperatura> low

una bebida baja en calorías — a low-calorie drink

tiene la tensión or presión baja — he has low blood pressure

artículos de baja calidad — poor-quality goods

b) <volumen/luz> low

en voz baja — quietly, in a low voice

pon la radio bajita — put the radio on quietly

4)

estar bajo DE algo — ( falto de)

están bajos de moral — their morale is low

está bajo de defensas — his defenses are low

5) ( grave) <tono/voz> deep, low

6) ( vil) <acción/instinto> low, base

caer bajo: qué bajo has caído! — how could you stoop so low!

•

- baja cuna

- baja forma

- baja frecuencia

- bajas presiones

- bajos fondos

- bajo vientre
II
adverbio

a) <volar/pasar> low

b) <hablar/cantar> softly, quietly

habla más bajo! — keep your voice down!
III
masculino

1)

a) ( planta baja) first (AmE) o (BrE) ground floor

b)

los bajos — (CS) the first (AmE) o (BrE) ground floor

2)

a) (de falda, vestido) hem

b) bajos masculino plural (Auto) underside

3) ( contrabajo) (double) bass
IV
preposición

a) ( debajo de) under

bajo techo — under cover, indoors

tres grados bajo cero — three degrees below zero

bajo el cielo estrellado — (liter) beneath the starry sky (liter)

b) (expresando sujeción, dependencia) under

bajo juramento — under oath

bajo los efectos del alcohol — under the influence of alcohol

bajo el título... — under the title...

* * *
I
- ja adjetivo

1) [ser] < persona> short

2) (indicando posición, nivel)

a) [ser] < techo> low; < tierras> low-lying

b) [estar] <lámpara/cuadro/nivel> low

la parte baja de la estantería — the lower shelves of the bookcase

la marea está baja — the tide is out

c) ( bajado)

tener las persianas bajas — to have the blinds down

caminar con la mirada baja — to walk (along) with one's eyes on the ground

3)

a) <calificación/precio/número> low; < temperatura> low

una bebida baja en calorías — a low-calorie drink

tiene la tensión or presión baja — he has low blood pressure

artículos de baja calidad — poor-quality goods

b) <volumen/luz> low

en voz baja — quietly, in a low voice

pon la radio bajita — put the radio on quietly

4)

estar bajo DE algo — ( falto de)

están bajos de moral — their morale is low

está bajo de defensas — his defenses are low

5) ( grave) <tono/voz> deep, low

6) ( vil) <acción/instinto> low, base

caer bajo: qué bajo has caído! — how could you stoop so low!

•

- baja cuna

- baja forma

- baja frecuencia

- bajas presiones

- bajos fondos

- bajo vientre
II
adverbio

a) <volar/pasar> low

b) <hablar/cantar> softly, quietly

habla más bajo! — keep your voice down!
III
masculino

1)

a) ( planta baja) first (AmE) o (BrE) ground floor

b)

los bajos — (CS) the first (AmE) o (BrE) ground floor

2)

a) (de falda, vestido) hem

b) bajos masculino plural (Auto) underside

3) ( contrabajo) (double) bass
IV
preposición

a) ( debajo de) under

bajo techo — under cover, indoors

tres grados bajo cero — three degrees below zero

bajo el cielo estrellado — (liter) beneath the starry sky (liter)

b) (expresando sujeción, dependencia) under

bajo juramento — under oath

bajo los efectos del alcohol — under the influence of alcohol

bajo el título... — under the title...

* * *

bajo¹

¹ = bass.

Nota: Instrumento musical.

Ex: Russian singer Vladimir Ognovenko is one of the most arresting basses on the opera scene today.

bajo²

² = ground floor.

Nota: Piso de un edificio situado al nivel de la calle.

Ex: The ground floor of the library contains a foyer with separate entrance to different departments.

* bajo comercial = commercial premise.

bajo³

³ = low [lower -comp., lowest -sup.], lowly [lowlier -comp., lowliest -sup.], sagging, low-lying.

Ex: Carlton Duncan discussed the difficulties built into the educational processes which led to under-performance at school and the resulting low representation in higher education and low entry into the professions.

Ex: Such a concept came as a great surprise to many information educators who rather dismissively regarded the information qua information field of activity as being too lowly in terms of salary potential.

Ex: It was obvious that Balzac's enthusiasm for the grant lifted his spirits up from their normal sagging state.

Ex: With the introduction of irrigation, low-lying areas are prone to waterlogging and soil salinization.

* a bajas temperaturas = at low temperature.

* a bajo coste = low-cost.

* a bajo costo = low-cost.

* a bajo nivel = low-level.

* a bajo precio = lower-cost, lower-cost, at a low price, on the cheap.

* altibajos = ups and downs.

* altos y bajos = highs and lows, peaks and valleys.

* arma de bajo calibre = small arm.

* baja Edad Media, la = late Middle Ages, the.

* baja resolución = low resolution.

* baja tecnología = low tech [low-tech].

* baja temperatura = low temperature.

* bajo cero = sub-zero, below-freezing.

* bajo consumo = low power consumption.

* bajo coste = low cost.

* bajo en ácido = low-acid.

* bajo en calorías = low cal, low-calorie.

* bajo en carbohidratos = low-carb(ohydrate).

* bajo en grasas = low fat.

* bajo en hidratos de carbono = low-carb(ohydrate).

* bajo precio = low cost.

* bajo presión = under the cosh.

* bajos ingresos = low income.

* bajo vientre = lower abdomen.

* barrio bajo = skid row.

* bebida baja en alcohol = low-alcohol drink.

* cuando la marea está baja = at low tide.

* cultura de la clase baja = low culture.

* de baja calidad = poor in detail, low-grade [lowgrade], low-quality, third rate [third-rate], low-end, trashy [trashier -comp., trashiest -sup.].

* de baja intensidad = low-intensity [low intensity].

* de baja ralea = ignoble.

* de bajo consumo = low energy.

* de bajo contenido en grasas = low fat.

* de bajo crecimiento = low-growing.

* de bajo estatus social = low-status.

* de bajo nivel = lower-level, low-level.

* de bajo precio = low-priced.

* de bajo riesgo = low-risk.

* decir en voz baja = say under + Posesivo + breath, say in + a low voice, say in + a quiet voice.

* de la gama baja = low-end.

* de nivel cultural bajo = lowbrow [low-brow].

* de nivel intelectual bajo = lowbrow [low-brow].

* de tacón bajo = low-heeled.

* dieta baja en carbohidratos = low-carb diet.

* dieta baja en hidratos de carbono = low-carb diet.

* el más bajo = rock-bottom.

* el punto más bajo = rock-bottom.

* en su nivel más bajo = at its lowest ebb.

* en su punto más bajo = at its lowest ebb.

* en un nivel bajo = at a low ebb.

* en un punto bajo = at a low ebb.

* estar muy bajo = be way down.

* familia de bajos ingresos = low-income family.

* fijar precios bajos = price + low.

* frente de bajas presiones = ridge of low pressure.

* hablar en voz baja = whisper, speak + low.

* marea baja = low tide.

* más bien bajo = shortish.

* monte bajo = undergrowth, understorey [understory, -USA], fynbos, shrubland, scrubland.

* Países Bajos, los = Netherlands, the, Low Countries, the.

* período bajo = dry spell.

* período de baja actividad = dry spell.

* persona de nivel cultural bajo = lowbrow [low-brow].

* persona de nivel intelectual bajo = lowbrow [low-brow].

* planta baja = ground floor.

* que habla en voz baja = quietly spoken.

* que vuela bajo = low-flying.

* sistema de bajas presiones = ridge of low pressure, low pressure system.

* temporada baja = low season.

* tirando a bajo = shortish.

* tirar a lo bajo = low-ball.

bajo⁴

= under.

Ex: One of the outcomes of entry under title has been the proliferation of serials titles.

* acoger bajo la representación de Uno = bring under + Posesivo + umbrella.

* acoger bajo la tutela de Uno = bring under + Posesivo + umbrella.

* bajo agua = undersea, underwater.

* bajo amenaza = under threat.

* bajo arresto domiciliario = under house arrest.

* bajo cero = below zero.

* bajo ciertas circunstancias = under certain circumstances.

* bajo ciertas condiciones = under certain conditions.

* bajo coacción = under duress.

* bajo el asesoramiento de = on the advice of.

* bajo el brazo = under + Posesivo + arm.

* bajo el cargo de = on charges of.

* bajo el control de = under the control of.

* bajo el emblema = under the banner.

* bajo el manto de la noche = under the cover of darkness, under the cloak of darkness.

* bajo el patrocinio de = under the aegis of.

* bajo el sol = in the eye of the sun.

* bajo el yugo de = under the yoke of.

* bajo juramento = under oath, sworn.

* bajo la apariencia de = in the guise of, under the guise of.

* bajo la competencia de = under the jurisdiction of.

* bajo la dirección de = under the supervision of.

* bajo las garras de = under the grip of.

* bajo la supervisión de = under the supervision of.

* bajo la tutela = under the auspices of.

* bajo la tutela de = under the aegis of.

* bajo la tutela de Alguien = under + Posesivo + auspices.

* bajo llave = under lock and key.

* bajo los auspicios de = under the aegis of, under the auspices of.

* bajo los auspicios de Alguien = under + Posesivo + auspices.

* bajo los pies = underfoot.

* bajo lupa = under the microscope.

* bajo ninguna circunstancia = under no/any circumstances.

* bajo ningún concepto = on no account, not on any account, under no/any circumstances.

* bajo + Posesivo + custodia = in + Posesivo + safekeeping.

* bajo presión = under pressure.

* bajo reforma = under reform.

* bajo sospecha = under suspicion.

* bajo tierra = underground, below surface.

* bajo un mismo techo = under one roof.

* decretar libertad bajo fianza = remand.

* guardar bajo llave = keep under + lock and key.

* libertad bajo fianza = bail.

* mantener bajo control = keep + a rein on.

* tener Algo bajo el control de Uno = have + Nombre + at + Posesivo + command.

* territorio bajo mandato = mandate.

bajo⁵

⁵ = lowdown, mean [meaner -comp., meanest -sup.].

Ex: The board clearly didn't care if its commissioner was a lowdown, lying, corrupt and untrustworthy creep, likely because that is the nature of the entire organization.

Ex: Whereas in most European countries during this period welfare provision continued to develop, in Australia it languished at a level which, with the exception of Japan, was the meanest of the developed countries.

* * *

bajo¹ -ja

adjective

A [ SER] ‹persona› short

ese chico bajito que trabaja en el bar that short o small guy who works in the bar

B (indicando posición, nivel)

1 [ SER] ‹techo› low; ‹tierras› low-lying

un vestido de talle bajo a low-waisted dress

2 [ ESTAR] ‹lámpara/cuadro› low

las ramas más bajas del árbol the lowest branches of the tree

la parte baja de la estantería the bottom shelf/lower shelves of the bookcase

el nivel de aceite está bajo the oil level is low

¡qué bajo está el río! isn't the river low!

la marea está baja it's low tide, the tide is out

3

(bajado): la casa tenía las persianas bajas the house had the blinds down

caminaba con la mirada baja she walked (along) looking at the ground o with her eyes lowered

C

1 ‹calificación/precio/número› low; ‹temperatura› low

bajo en nicotina y alquitrán low in nicotine and tar

una bebida baja en calorías a low-calorie drink

tiene la tensión or presión baja he has low blood pressure, his blood pressure is low

liquidaban todo a precios bajísimos they were selling everything off really cheap(ly)

artículos de baja calidad poor-quality goods

por lo bajoor ( RPl) por parte baja at least

les va a costar 10.000 tirando or echando por lo bajo ( fam); it's going to cost them at least 10,000, it's going to cost them 10,000 easily o at (the very) least

2 ‹volumen/luz› low

lo dijo en voz baja he said it quietly o in a low voice

pon la radio bajita put the radio on quietly

3 ‹oro› below 14 karats

D estar bajo DE algo

(falto de): están bajos de moral they're in low spirits, their morale is low

está baja de defensas her defenses are low

E (grave) ‹tono/voz› deep, low

F (vil) ‹acción/instinto› low, base

caer bajoor en lo bajo: ha caído en lo más bajo she stooped pretty low

¡qué bajo has caído! how could you stoop so low?, how low can you get!

Compuestos:

● baja cuna

feminine humble origins (pl)

● baja Edad Media

feminine:

la bajoa Edad Media the late Middle Ages (pl)

● baja forma

feminine:

estoy en bajoa forma I'm in bad shape, I'm not on form, I'm feeling below par

la bajoa forma del equipo nacional the poor form of the national team

● baja frecuencia

feminine low frequency

● baja policía

feminine ( Per) garbage ( AmE) o ( BrE) refuse collection and street cleaning service

● bajas pasiones

fpl animal passions (pl)

● bajas presiones

fpl low pressure

● baja tecnología

feminine low technology

de bajoa tecnología low-technology ( before n), low-tech

● bajo Latín

masculine Low Latin

● bajo relieve

masculine bas-relief

● bajos fondos

mpl underworld

● bajo vientre

masculine:

el bajo vientre the lower abdomen

bajo²

adverb

1 ‹volar/pasar› low

2 ‹hablar/cantar› softly, quietly

canta más bajo sing more softly

¡habla más bajo! keep your voice down!

bajo³

masculine

A

1 (planta baja) first ( AmE) o ( BrE) ground floor; (local) commercial premises ( on the first ( AmE) o ( BrE) ground floor of a building)

2 los bajos mpl ( RPl) the first ( AmE) o ( BrE) ground floor

B

1 (de una falda, un vestido) hem; (de un pantalón) cuff ( AmE), turn-up ( BrE)

2 bajos mpl ( Auto) underbody

C (contrabajo) bass, double bass

D

( Chi fam) (fin): darle el bajo a algn to do away with sb ( colloq), to get rid of sb

darle el bajo a algo to polish sth off ( colloq)

bajo⁴

prep

1 (debajo de) under

corrimos a ponernos bajo techo we ran to get under cover

ponte bajo el paraguas get under o underneath the umbrella

tres grados bajo cero three degrees below zero

cuando yo esté bajo tierra when I'm dead and buried

bajo el cielo estrellado ( liter); beneath the starry sky ( liter)

cantando bajo la lluvia singing in the rain

2 (expresando sujeción, dependencia) under

está bajo juramento you are under oath

bajo Alfonso XIII under Alfonso XIII, during the reign of Alfonso XIII

bajo su mando under his command

bajo los efectos del alcohol under the influence of alcohol

bajo ese punto de vista looking at it from that point of view

bajo el título `España hoy' under the title `España hoy'

fianza, garantía, llave² (↑ llave (2)), etc

* * *

Del verbo bajar: ( conjugate bajar)

bajo es:

1ª persona singular (yo) presente indicativo

bajó es:

3ª persona singular (él/ella/usted) pretérito indicativo

Multiple Entries:
bajar
bajo
bajar ( conjugate bajar) verbo intransitivo
1
a) [ascensor/persona] ( alejándose) to go down;

( acercándose) to come down;
◊ bajo por las escaleras to go/come down the stairs;

ya bajo I'll be right down
b) ( apearse) bajo de algo ‹de tren/avión› to get off sth;

‹ de coche› to get out of sth;
‹de caballo/bicicleta› to get off sth
c) (Dep) [ equipo] to go down

2
a) [ marea] to go out

b) [fiebre/tensión] to go down, drop;

[ hinchazón] to go down;
[ temperatura] to fall, drop
c) [precio/valor] to fall, drop;

[ calidad] to deteriorate;
[ popularidad] to diminish;
◊ bajo de precio to go down in price

verbo transitivo
1 ‹escalera/cuesta› to go down
2 ‹brazo/mano› to put down, lower
3
a) bajo algo (de algo) ‹de armario/estante› to get sth down (from sth);

‹ del piso de arriba› ( traer) to bring sth down (from sth);
( llevar) to take sth down (to sth)
b) bajo a algn de algo ‹de mesa/caballo› to get sb off sth

4
a) ‹persiana/telón› to lower;

‹ ventanilla› to open
b) ‹ cremallera› to undo

5 ‹ precio› to lower;
‹ fiebre› to bring down;
‹ volumen› to turn down;
‹ voz› to lower
bajarse verbo pronominal
1 ( apearse) bajose de algo ‹de tren/autobús› to get off sth;
‹ de coche› to get out of sth;
‹de caballo/bicicleta› to get off sth;
‹de pared/árbol› to get down off sth
2 ‹ pantalones› to take down;
‹ falda› to pull down
bajo 1
◊ -ja adjetivo

1 [ser] ‹ persona› short
2
a) [ser] ‹ techo› low;

‹ tierras› low-lying
b) [estar] ‹lámpara/cuadro/nivel› low;

◊ la marea está baja the tide is out;

están bajos de moral their morale is low;
está bajo de defensas his defenses are low
3
a) ‹calificación/precio/temperatura› low;

◊ bajo en nicotina y alquitrán low in nicotine and tar;

bajo en calorías low-calorie;
de baja calidad poor-quality
b) ‹volumen/luz› low;

◊ en voz baja quietly, in a low voice

4 ( grave) ‹tono/voz› deep, low
5 ( vil) ‹acción/instinto› low, base;
◊ los bajos fondos the underworld

bajo 2 adverbio
a) ‹volar/pasar› low

b) ‹hablar/cantar› softly, quietly;

◊ ¡habla más bajo! keep your voice down!

■ sustantivo masculino
1
a) ( planta baja) first (AmE) o (BrE) ground floor

b)

◊ los bajos (CS) the first (AmE) o (BrE) ground floor

2 ( contrabajo) (double) bass
■ preposición
under;
◊ bajo techo under cover, indoors;

tres grados bajo cero three degrees below zero;
bajo juramento under oath
bajar
I verbo transitivo
1 (descender) to come o go down: bajé corriendo la cuesta, I ran downhill ➣ Ver nota en ir 2 (llevar algo abajo) to bring o get o take down: baja los disfraces del trastero, bring the costumes down from the attic
3 (un telón) to lower
(una persiana) to let down
(la cabeza) to bow o lower
4 (reducir el volumen) to turn down
(la voz) to lower
5 (los precios, etc) to reduce, cut
6 (ropa, dobladillo) tengo que bajar el vestido, I've got to let the hem down
7 Mús tienes que bajar un tono, you've got to go down a tone
II verbo intransitivo
1 to go o come down: bajamos al bar, we went down to the bar
2 (apearse de un tren, un autobús) to get off
(de un coche) to get out [de, of]: tienes que bajarte en la siguiente parada, you've got to get off at the next stop
3 (disminuir la temperatura, los precios) to fall, drop: ha bajado su cotización en la bolsa, its share prices have dropped in the stock exchange
bajo,-a
I adjetivo
1 low
2 (de poca estatura) short: es muy bajo para jugar al baloncesto, he's a bit too short to play basketball
3 (poco intenso) faint, soft: en este local la música está baja, the music isn't very loud here
4 (escaso) poor: su nivel es muy bajo, his level is very low
este queso es bajo en calorías, this cheese is low in calories
5 Mús low
6 fig (mezquino, vil, ruin) base, despicable: tiene muy bajos instintos, he's absolutely contemptible
bajos fondos, the underworld
la clase baja, the lower class
II adverbio low: habla bajo, por favor, please speak quietly
por lo b., (a sus espaldas, disimuladamente) on the sly: con Pedro es muy amable, pero por lo bajo echa pestes de él, she's very nice to Pedro, but she's always slagging him off behind his back
(como mínimo) at least: ese libro cuesta cinco mil pesetas tirando por lo bajo, that book costs at least five thousand pesetas
III sustantivo masculino
1 Mús (instrumento, cantante, instrumentista) bass
2 (de un edificio) ground floor
3 (de una prenda) hem
IV mpl Mec underneath: las piedras del camino le rozaron los bajos del coche, we scratched the bottom of the car against the stones on the road
V preposición
1 (lugar) under, underneath
bajo techo, under shelter
bajo tierra, underground
bajo la tormenta, in the storm
2 Pol Hist under
bajo la dictadura, under the dictatorship 3 bajo cero, (temperatura) below zero
4 Jur under
bajo fianza, on bail
bajo juramento, under oath
bajo multa de cien mil pesetas, subject to a fine of one hundred thousand pesetas
bajo ningún concepto, under no circumstances
firmó la declaración bajo presión, she signed the declaration under pressure
La traducción más común del adjetivo es low. Sin embargo, recuerda que cuando quieres describir a una persona debes usar la palabra short: Es muy bajo para su edad. He's very short for his age.

' bajo' also found in these entries:
Spanish:
auspicio
- baja
- caer
- calificar
- caloría
- circunstancia
- concepto
- confiar
- control
- cuerda
- dominación
- fianza
- fiebre
- guardia
- hundida
- hundido
- imperio
- ínfima
- ínfimo
- insolación
- juramento
- libertad
- llave
- manía
- ministerio
- monte
- murmurar
- par
- pretexto
- próxima
- próximo
- rescoldo
- ropa
- sarro
- so
- tapón
- techo
- tierra
- tono
- vigilancia
- a
- abrasar
- anestesia
- arresto
- ático
- bajar
- bajío
- chato
- chico
- coacción
English:
account
- aloud
- auspice
- bail
- bass
- bass guitar
- below
- beneath
- body
- bottom
- clampdown
- complaint
- conceal
- condition
- content
- control
- cover
- cuff
- custody
- depressed
- distraught
- down
- drunk driving
- DUI
- escrow
- feel
- floodlight
- foresight
- freezing
- ground
- gun
- hand
- honour
- hurtle
- in
- keep down
- lock away
- low
- low-alcohol
- low-budget
- low-calorie
- low-cost
- lower
- Lower Egypt
- lowest
- microscope
- minus
- oath
- observation
- off

* * *

bajo, -a

♦ adj

1. [objeto, cifra] low;
[persona, estatura] short;
es más bajo que su amigo he's shorter than his friend;

el pantano está muy bajo the water (level) in the reservoir is very low;

tengo la tensión baja I have low blood pressure;

tener la moral baja, estar bajo de moral to be in low o poor spirits;

estar en baja forma to be off form;

han mostrado una baja forma alarmante they have shown worryingly poor form, they have been worryingly off form;

los precios más bajos de la ciudad the lowest prices in the city;

tirando o [m5] calculando por lo bajo at least, at the minimum;

de baja calidad poor(-quality);

bajo en calorías low-calorie;

bajo en nicotina low in nicotine (content)

Comp
Elec baja frecuencia low frequency; Arte bajo relieve bas-relief; Informát baja resolución low resolution
2. [cabeza] bowed;
[ojos] downcast;
paseaba con la cabeza baja she was walking with her head down

3. [poco audible] low;
[sonido] soft, faint;
en voz baja softly, in a low voice;

pon la música más baja, por favor turn the music down, please;

por lo bajo [en voz baja] in an undertone;
[en secreto] secretly;
reírse por lo bajo to snicker, to snigger

4. [grave] deep

5. Geog lower;

el bajo Amazonas the lower Amazon

6. Hist lower;

la baja Edad Media the late Middle Ages

7. [pobre] lower-class

Comp
los bajos fondos the underworld
8. [vil] base

9. [soez] coarse, vulgar;

se dejó llevar por bajas pasiones he allowed his baser instincts to get the better of him

10. [metal] base

11. Perú baja policía street cleaners

♦ nm

1. [dobladillo] hem;

meter el bajo de una falda to take up a skirt

2. [planta baja] [piso] Br ground floor flat, US first floor apartment;
[local] Br premises on the ground floor, US premises on the first floor;
los bajos Br the ground floor, US the first floor

3. Mús [instrumento, cantante] bass;
[instrumentista] bassist
4. Mús [sonido] bass

5. Aut
bajos [de vehículo] underside

6. [hondonada] hollow

7. [banco de arena] shoal, sandbank

♦ adv

1. [hablar] quietly, softly;

ella habla más bajo que él she speaks more softly than he does;

¡habla más bajo, vas a despertar al bebé! keep your voice down or you'll wake the baby up!

2. [caer] low;
Fig
¡qué bajo has caído! how low you have sunk!

3. [volar] low

♦ prep

1. [debajo de] under;

bajo su apariencia pacífica se escondía un ser agresivo beneath his calm exterior there lay an aggressive nature;

bajo cero below zero;
Fig
bajo cuerda o [m5] mano secretly, in an underhand manner;

le pagó bajo mano para conseguir lo que quería he paid her secretly to get what he wanted;

bajo este ángulo from this angle;

bajo la lluvia in the rain;

bajo techo under cover;

dormir bajo techo to sleep with a roof over one's head o indoors

2. [sometido a]
bajo coacción under duress;

bajo control under control;

bajo el régimen de Franco under Franco's regime;

fue encarcelado bajo la acusación de… he was jailed on charges of…;
Der
bajo fianza on bail;

bajo mando de under the command of;

prohibido aparcar bajo multa de 100 euros no parking – penalty 100 euros;

bajo observación under observation;

bajo palabra on one's word;

el trato se hizo bajo palabra it was a purely verbal o a gentleman's agreement;

bajo pena de muerte on pain of death;

bajo tratamiento médico receiving medical treatment;

bajo la tutela de in the care of

* * *

bajo

I adj

1 low;

bajo en sal low in salt

2 persona short

II m

1 MÚS bass

2 piso first floor, Br

ground floor; de edificio first floor apartment, Br

ground floor flat

3 de vestido, pantalón hem

4

:

por lo bajo at least

III adv

1 cantar, hablar quietly, softly

2 volar low

IV prp under;

tres grados bajo cero three degrees below zero;

bajo juramento o

palabra on o under oath

* * *

bajo adv

1) : down, low

2) : softly, quietly

habla más bajo: speak more softly

bajo, -ja adj

1) : low

2) : short (of stature)

3) : soft, faint, deep (of sounds)

4) : lower

el bajo Amazonas: the lower Amazon

5) : lowered

con la mirada baja: with lowered eyes

6) : base, vile

7)

los bajos fondos : the underworld

bajo nm

1) : bass (musical instrument)

2) : first floor, ground floor

3) : hemline

bajo prep

: under, beneath, below

* * *

bajo¹ adj

1. (persona) short

un hombre bajo a short man

2. (muro, mueble, voz) low

un techo bajo a low ceiling

habla en voz baja she speaks in a low voice / she speaks quietly

3. (nivel, precio, número) low

un motor de bajo consumo an engine with low petrol consumption

todo está a bajo precio everything is cheap

bajo² adv

1. (con poca altura) low

ese avión vuela muy bajo that plane is flying very low

2. (con voz suave) quietly

procura hablar más bajo try and speak more quietly

bajo³ n

1. (planta baja) ground floor

tiene el despacho en el bajo his office is on the ground floor

2. (de una prenda) hem

tenía deshilachados los bajos de los pantalones the hems of his trousers were frayed

3. (instrumento, voz) bass

¿quién toca el bajo? who plays the bass?

4. (músico) bass player

bajo⁴ prep under

los submarinos navegan bajo la superficie del mar submarines sail under the surface of the sea

bajo la lluvia in the rain

Spanish-English dictionary > bajo
8 Mind

   1) To Know the Different Operations of the Mind

   It becomes, therefore, no inconsiderable part of science... to know the different operations of the mind, to separate them from each other, to class them under their proper heads, and to correct all that seeming disorder in which they lie involved when made the object of reﬂection and inquiry.... It cannot be doubted that the mind is endowed with several powers and faculties, that these powers are distinct from one another, and that what is really distinct to the immediate perception may be distinguished by reﬂection and, consequently, that there is a truth and falsehood which lie not beyond the compass of human understanding. (Hume, 1955, p. 22)

   2) The Mind Is Furnished by Experience

   Let us then suppose the mind to be, as we say, white Paper, void of all Characters, without any Ideas: How comes it to be furnished? Whence comes it by that vast store, which the busy and boundless Fancy of Man has painted on it, with an almost endless variety? Whence has it all the materials of Reason and Knowledge? To this I answer, in one word, from Experience. (Locke, quoted in Herrnstein & Boring, 1965, p. 584)

   3) Mythical Thought Is as Rigorous as That of Modern Science

   The kind of logic in mythical thought is as rigorous as that of modern science, and... the difference lies, not in the quality of the intellectual process, but in the nature of things to which it is applied.... Man has always been thinking equally well; the improvement lies, not in an alleged progress of man's mind, but in the discovery of new areas to which it may apply its unchanged and unchanging powers. (Leґvi-Strauss, 1963, p. 230)

   4) The Mind Has Nothing But Itself to Know Itself

   MIND. A mysterious form of matter secreted by the brain. Its chief activity consists in the endeavor to ascertain its own nature, the futility of the attempt being due to the fact that it has nothing but itself to know itself with. (Bierce, quoted in Minsky, 1986, p. 55)

   5) To Know Is to Represent Accurately

   [Philosophy] understands the foundations of knowledge and it finds these foundations in a study of man-as-knower, of the "mental processes" or the "activity of representation" which make knowledge possible. To know is to represent accurately what is outside the mind, so to understand the possibility and nature of knowledge is to understand the way in which the mind is able to construct such representation.... We owe the notion of a "theory of knowledge" based on an understanding of "mental processes" to the seventeenth century, and especially to Locke. We owe the notion of "the mind" as a separate entity in which "processes" occur to the same period, and especially to Descartes. We owe the notion of philosophy as a tribunal of pure reason, upholding or denying the claims of the rest of culture, to the eighteenth century and especially to Kant, but this Kantian notion presupposed general assent to Lockean notions of mental processes and Cartesian notions of mental substance. (Rorty, 1979, pp. 3-4)

   6) The Question of Mind in Relation to Machine

   Under pressure from the computer, the question of mind in relation to machine is becoming a central cultural preoccupation. It is becoming for us what sex was to Victorians-threat, obsession, taboo, and fascination. (Turkle, 1984, p. 313)

   7) Understanding the Mind Remains as Resistant to Neurological as to Cognitive Analyses

   Recent years have been exciting for researchers in the brain and cognitive sciences. Both fields have ﬂourished, each spurred on by methodological and conceptual developments, and although understanding the mechanisms of mind is an objective shared by many workers in these areas, their theories and approaches to the problem are vastly different....

   Early experimental psychologists, such as Wundt and James, were as interested in and knowledgeable about the anatomy and physiology of the nervous system as about the young science of the mind. However, the experimental study of mental processes was short-lived, being eclipsed by the rise of behaviorism early in this century. It was not until the late 1950s that the signs of a new mentalism first appeared in scattered writings of linguists, philosophers, computer enthusiasts, and psychologists.

   In this new incarnation, the science of mind had a specific mission: to challenge and replace behaviorism. In the meantime, brain science had in many ways become allied with a behaviorist approach.... While behaviorism sought to reduce the mind to statements about bodily action, brain science seeks to explain the mind in terms of physiochemical events occurring in the nervous system. These approaches contrast with contemporary cognitive science, which tries to understand the mind as it is, without any reduction, a view sometimes described as functionalism.

   The cognitive revolution is now in place. Cognition is the subject of contemporary psychology. This was achieved with little or no talk of neurons, action potentials, and neurotransmitters. Similarly, neuroscience has risen to an esteemed position among the biological sciences without much talk of cognitive processes. Do the fields need each other?... [Y]es because the problem of understanding the mind, unlike the wouldbe problem solvers, respects no disciplinary boundaries. It remains as resistant to neurological as to cognitive analyses. (LeDoux & Hirst, 1986, pp. 1-2)

   8) Approaches to the Study of the Mind

   Since the Second World War scientists from different disciplines have turned to the study of the human mind. Computer scientists have tried to emulate its capacity for visual perception. Linguists have struggled with the puzzle of how children acquire language. Ethologists have sought the innate roots of social behaviour. Neurophysiologists have begun to relate the function of nerve cells to complex perceptual and motor processes. Neurologists and neuropsychologists have used the pattern of competence and incompetence of their brain-damaged patients to elucidate the normal workings of the brain. Anthropologists have examined the conceptual structure of cultural practices to advance hypotheses about the basic principles of the mind. These days one meets engineers who work on speech perception, biologists who investigate the mental representation of spatial relations, and physicists who want to understand consciousness. And, of course, psychologists continue to study perception, memory, thought and action.

... [W]orkers in many disciplines have converged on a number of central problems and explanatory ideas. They have realized that no single approach is likely to unravel the workings of the mind: it will not give up its secrets to psychology alone; nor is any other isolated discipline-artificial intelligence, linguistics, anthropology, neurophysiology, philosophy-going to have any greater success. (Johnson-Laird, 1988, p. 7)

Historical dictionary of quotations in cognitive science > Mind
9 group

1) группа, ансамбль || групповой

- finishing mill group
- roughing mill group
2) совокупность; комплект

3) группировка || группировать(ся)

4) группировочный

5) класс; категория || классифицировать; категоризировать

6) хим. остаток

7) сгусток; скопление

8) узел

9) матем. группа

group modulo one — группа по модулю единица

group over field — группа над полем

group over ring — группа над кольцом

group with division — группа с делением

group with multiple operators — группа с многоместными операторами, мультиоператорная группа

group with operators — группа с операторами

group with topology — группа с топологией

group with trivial center — группа без центра

group with zero — группа с нулем

group without center — группа без центра

group without operators — группа без операторов

group without small subgroups — группа без малых подгрупп

group without torsion — группа без кручения

invariance under group — инвариантность относительно группы

to group like terms — приводить подобные члены

- Abelian group

- abelianized group

- abhomotopy group

- absolute cohomology group
- absolute free group - absolute homotopy group - absolutely irreducible group - absolutely simple group
- abstract group

- additively free group
- additively written group - adele group - adelic group
- adelized group

- adjoint group

- adjusted group

- affine group

- age group

- algebraic group

- algebraically closed group
- algebraically compact group - algebraically simple group - almost connected group - almost cyclic group - almost ordered group - almost periodic group - almost simple group - alternating form group
- alternating group

- amalgamated group

- amenable group

- analytical group

- anharmonic group

- anisotropic group

- antiunitary group

- aperiodic group

- archimedean group

- arcwise connected group

- arithmetic group

- asystatic group

- automorphic group

- automorphism group

- autotopism group

- base group

- basic group

- betweennes group

- bicharacter group

- bicompact group

- bigraded group

- binary group

- bitransformation group

- bordism group

- boundary group

- bounded group

- braid group

- bundle group

- cancellation group
- cancellative group
- canonical transformation group

- case-shift code group
- cellular homology group
- central group

- centrally closed group

- chain group

- channel master group
- characteristically simple group
- circle group

- circular group

- classical group

- closed homology group

- cobordism group

- coboundary group

- cochain group

- cocyclic group

- code group

- coherent group

- cohomological group

- cohomology group

- cohomotopic group

- cohomotopy group

- collinear group

- collineation group

- color group

- commensurability group

- commutative group

- commutator group

- complemented group
- complementing group
- complete group

- complete monomial group
- completely anisotropic group - completely discontinuous group - completely divisible group - completely indecomposable group - completely integrally closed group
- complex group

- composite group

- conditionally complete group

- configuration group

- conformal group

- congruence group

- connected group

- continuous group

- contracted group

- contrahomology group

- control group

- coseparable group

- cotortion group

- countable group

- countably discrete group

- covering group

- critical group

- crystallographic group

- cubical homology group

- cuspidal group

- cycle group

- cyclically ordered group

- cycloidal group

- decomposable group

- decomposition group

- defect group
- deficient group
- degree of group

- dense group

- denumerable symmetric group

- derived group

- diagonal group

- diagonalizable group

- dicyclic group

- differentiable group

- differential group

- digit group

- dihedral group

- dihomology group

- dimensionless group

- direct cohomology group
- direct homology group - direct indecomposable group
- directed group

- directly indecomposable group

- discontinuous group

- discrete group

- discriminating group

- dispersible group

- displacement group

- distal group

- divisible group

- division closure group

- divisor group

- double group

- doubly covered group
- doubly transitive group
- dual group

- dyadic group

- dynamical group

- dynamical symmetry group

- edge group

- edge-path group

- effect group

- effective group

- effectively acting group

- elation group

- elementary group

- elliptic group

- embeddable group

- empennage group

- endomorphism group

- enlarged group

- entire group

- equationally compact group

- equiaffine group

- equicontinuous group

- equiform group

- equivalence group

- etale group

- exact symmetry group

- exceptional group

- existentially closed group

- exponent of group

- exponential group

- exponentiation group

- extended group

- extension group

- factor group

- factorizable group

- factorization of group

- field character group

- filtered group

- final group

- finite group

- finite-dimensional group

- finitely approximable group

- finitely cogenerated group
- finitely defined group - finitely generated group - finitely presented group - finitely related group - first homology group - first homotopy group
- four group

- four-dimensional group

- four-strand braid group

- free group

- freely acting group
- freely generated group
- frieze group

- full braid group

- full commutator group
- full linear group - full orthogonal group - full rotation group - full symmetric group - full unimodular group
- functional group

- functorial quotient group

- fundamental group

- fuzzy group

- gage group

- general group

- general linear group

- generalized group

- geometrical homology group

- global group

- grading group

- group of actions

- group of affine transformations

- group of automorhisms

- group of autoprojectivities

- group of boundaries

- group of circle-preserving transformations
- group of classes of algebras - group of covering transformations
- group of digraph

- group of dilatations

- group of displacements

- group of divisors

- group of dodecahedron

- group of endomorphisms

- group of extensions

- group of finite order
- group of finite rank
- group of fractions

- group of groups

- group of homothetic transformations

- group of ideals

- group of infinite cardinality
- group of infinite order - group of infinite rank - group of inner automorphisms
- group of integers

- group of invertible elements

- group of involutions

- group of isometry

- group of isotropy

- group of left quotients
- group of linear equivalence - group of linear forms - group of linear manifold
- group of map

- group of mapping

- group of motions

- group of numbers

- group of observations

- group of order

- group of plane rotations

- group of polarity

- group of prime residue classes
- group of principal ideles
- group of projection

- group of projectivities

- group of proper rotations

- group of quotients

- group of rational numbers
- group of real line - group of recursive permutations - group of right quotients
- group of self-equivalence

- group of similarities

- group of singular homologies

- group of six

- group of spectral homologies

- group of square

- group of substitutions

- group of symmetries

- group of transformations

- group of translations

- group of units

- group of vectors

- group of zeroids

- hidden symmetry group

- holonomy group

- homeomorphism group

- homogeneous group

- homologic group

- homomorphism group

- homothetic group

- homotopy group of spheres

- hyperbolic group

- hypercentral group

- hypercohomology group

- hyperelementary group

- hyperemetric topological group

- hyperexponential group

- hypermetric topological group

- hyperoctahedral group

- icosahedral group

- ideal class group
- idele class group
- idele group

- identity group

- image group

- imprimitive group

- indecomposable group

- indicable group

- individual trunk group

- inertia group

- infinite classical group

- infinite group

- infinite-dimensional group

- infinitely divisible group

- infinitesimal group

- injective group

- integrable group

- integral group

- internal symmetry group

- intransitive group

- intrinsic group

- invariance group

- inverse group

- irreducible group

- irregular group

- isometry group

- isomorphically embedded group

- isospin group

- isotrophy group

- iteration group

- kernel group

- large ramification group

- lattice-ordered group

- left group

- left transformation group

- left-ordered group

- Lie group

- limit group

- limiting group

- line group

- linear fractional group
- linearly ordered group - linearly transitive group
- little group

- local group

- locally almost periodic group
- locally bicompact group - locally closed group - locally compact group - locally connected group - locally cyclic group - locally defined group - locally embeddable group - locally finite group - locally free group - locally infinite group - locally nilpotent group - locally normal group - locally solvable group
- loose group

- lower basic group

- main group

- majority group

- massive group

- matrix group

- maximal group

- maximally valued group

- measurable group

- metabelian group

- metacyclic group

- metalinear group

- metanilpotent group

- metaplectic group

- metric group

- metrizable group

- minimal group

- mixed group

- modal group

- modular group

- modularity group

- modulus group

- monodromy group

- monogenic group

- monolithic group

- monomial group

- monothetic group

- multioperator group

- multiplicative group

- multiplicatively written group

- multiplier group

- multiplier of group

- multiply connected group
- multiply primitive group - multiply transitive group
- narrow group

- n-dimensional group

- n-dimensional homology group

- neighborhood group

- nested group

- n-fold transitive group

- n-generator group

- nil group

- node group

- Noether group

- noncommutative group

- noncommutative group

- noncompact group

- noncyclic group

- nondense group

- nonhomogeneous holonomy group

- nonintegrable group

- noninvariance group

- nonperiodical group

- nonsoluble group
- nonsolvable group
- nonspecial group

- non-special group

- nontrivial group

- norm group

- normal group

- n-ply transitive group
- n-th homotopy group
- nuclear group

- one-headed group

- one-parameter group

- operator-free group

- orderable group

- ordered homology group
- ordered pair group
- ordering of group

- oriented bordism group

- oriented homology group

- ornamental group

- orthochronous group

- outer group

- p-adic group

- pair group

- pairwise transitive group

- parabolic group

- paraconvex group

- parafree group

- parametric group

- parametrized group

- paramodular group

- parasolvable group

- partial group

- partially ordered group

- particle group

- p-divisible group

- perfect group

- period group

- permanent group

- permutable group

- permutably decomposable group

- permutation group

- permutation symmetry group

- phantom group

- phase group

- point group

- polycyclic group

- polyhedral group

- polynilpotent group

- power group

- presentation group

- primary group

- prime power group group
- principal congruence group
- profinite group

- projective group

- projective module group

- pronilponent group

- proper group

- properly discontinuous group
- properly orthogonal group - properly unimodular group
- pseudoconvex group

- pseudoorthogonal group

- pseudounitary group

- p-th group

- pulse group

- pure injective group
- pure projective group - pure rotation group - pure simple group
- quadratic group

- quadruply transitive group

- quasiaffine group

- quasiclinic group

- quasicompact group

- quasicyclic group

- quasidecomposable group

- quasidihedral group

- quasidual group

- quasiembedded group

- quasi-indecomposable group

- quasiinjective group

- quasiisomorphic group

- quasimotion group

- quasipure injective group
- quasipure projective group
- quasirotation group

- quasiseparable group

- quasisimple group

- quasisplit group

- quasitotal group

- quaternion group

- quintuply transitive group
- quotient divisible group
- quotient group

- radical group

- ramification group

- randomized group

- rational group

- real group

- rectangular group

- recursively presented group

- reduced group

- reducibly free group

- reductive group

- reflection group

- reflexive group

- relative cohomology group

- relative group

- relatively free group

- renormalization group

- representation group

- residually finite group
- residually nilpotent group - restricted holonomy group
- right group

- right transformation group

- right-ordered group

- rigid group

- rope group

- rosette group

- rotational group

- rotation-reflection group

- semidihedral group

- semielementary group

- semigroup group

- semilinear group

- semilocally simply connected group

- semiordered group

- semiorthogonal group

- semireductive group

- semiregular group

- semisimple group

- semisymmetric group

- semiuniform group

- set-transitive permutation group

- shape group

- sharply doubly transitive group
- sharply transitive group
- similarity group

- simplicial group

- simplicity of group

- simply continuous group
- simply ordered group - simply reducible group - simply transitive group - singular cogomology group - singular homology group
- six-parameter group

- slender group

- smooth group

- solenoidal group

- soluble group
- solvable group
- space group

- spherical group

- spinor group

- splittable group

- splitting group

- sporadic group

- square group

- stability group
- stable group
- standard group

- stationary group

- stochastic group

- strictly ordered group
- strictly transitive group - strongly polycyclic group
- structural group

- structurally ordered group

- structure group

- study group

- subabnormal group

- subdirectly irreducible group

- subinvariant group

- submonogenic group

- subnormal group

- subsoluble group
- subsolvable group
- substituent group

- substitution group

- superconformal group

- supersoluble group
- supersolvable group
- Sylow group

- symmetrical group

- symmetry group

- symplectic group

- tame group

- tangent group

- tetrahedral group

- three-digit group

- three-dimensional rotation group

- three-parameter group

- three-strand braid group

- topological group

- topologically complete group

- topologically isomorphic groups

- topologically solvable group

- topologized group

- toral group

- toroidal group

- torsion group

- torsion-free group

- torus group

- totally disconnected group
- totally ordered group - totally projective group - totally reducible group
- trace on group

- track group

- translation group

- transvection-rich group

- treatment combination group

- trellis group

- triad group

- triangle group

- triangulable group

- triangular group

- triangulated group

- triangulation group

- trigonalizing group

- triplewise group
- triply transitive group
- trunk group

- twisted group

- two group

- two-digit group

- two-dimensional group

- two-parameter group

- underlying group

- uniaxial group

- unicentral group

- unicoherent group

- uniformizable group

- uniformly decomposable group

- unifying group

- unimodular group

- unipotent group

- uniprimitive group

- unique group

- unirational group

- unit group

- unitarily restricted group
- unitary symmetry group - unitary transformation group
- unitriangular group

- universal group

- valuation group
- value group
- vector group

- verbally simple group

- vierbein group

- wallpaper group

- wave group

- weak cohomology group
- weak homology group - weakly mixing group
- weight group

- whole group

- zero-dimensional group

- zeroth group

English-Russian scientific dictionary > group
10 projective

проективный, проекционный allowable projective resolution ≈ допустимая проективная резольвента atomic projective geometry ≈ атомическая проективная геометрия bounding projective chain ≈ ограничивающая проективная цепь centrally projective connectedness ≈ центропроективная связность completely projective module ≈ вполне проективный модуль exceptional projective line ≈ исключительная проективная прямая faithfully projective module ≈ вполне проективный модуль faithfully projective object ≈ строго проективный объект generic projective transformation ≈ общее проективное преобразование n-way projective space ≈ n-кратное проектируемое пространство object of projective connectivity ≈ объект проективной связности one-way projective space ≈ однократное проективное пространство point of projective plane ≈ точка проективной плоскости projective coordinate system ≈ проективная система координат projective curvature tensor ≈ тензор проективной кривизны projective geometry code ≈ проективно-геомет-рический код projective module group ≈ группа проективных модулей pure projective geometry ≈ чисто проективная геометрия pure projective group ≈ сервантно проективная группа quasipure projective group ≈ квазисервантно проективная группа quaternion projective space ≈ кватернионное проективное пространство relative projective object ≈ относительно проективный объект right projective module ≈ правый проективный модуль shunted projective space ≈ стянутое проективное пространство tensor of projective curvature ≈ тензор проективной кривизны thread of projective spectrum ≈ нить проекционного спектра totally projective group ≈ тотально проективная группа weakly projective complex ≈ слабо проективный комплекс weakly projective deformation ≈ слабо проективная деформация weakly projective module ≈ слабо проективный модуль - projective connection - projective connectivit - projective convergence - projective convexity - projective coordinates - projective coordinatization - projective correlation - projective correspondence - projective covariant - projective cover - projective cubic - projective curvature - projective cycle - projective deformation - projective determinacy - projective dilatation - projective dimension - projective element - projective embedding - projective envelope - projective equivalence - projective extremum - projective fibration - projective form - projective framing - projective function - projective game - projective generalization - projective generation - projective geometry - projective group - projective half-plane - projective hierarchy - projective homogeneity - projective homology - projective homomorphism - projective homothety - projective hyperplane - projective interval - projective invariance - projective invariant - projective isomorphism - projective lattice - projective lifting - projective limit - projective manifold - projective maximum - projective metric - projective model - projective module - projective morphism - projective motion - projective normal - projective object - projective operation - projective operator - projective ordering - projective parameter - projective pencil - projective plane - projective point - projective presheaf - projective quadric - projective quartic - projective quotient - projective relation - projective relational - projective representation - projective resolution - projective resolvent - projective scale - projective scheme - projective semiplane - projective set - projective sheaf - projective shift - projective space - projective spectrum - projective sphere - projective spray - projective structure - projective subdivision - projective sublimit - projective subspace - projective symmetry - projective system - projective tensor - projective topology - projective transformation - projective translation - projective transvection - projective tree - projective triangle - projective twistor - projective variety - projective zero - pure projective - quasipure projective - recursively projective - weakly projective (математика) проективный - * geometry проективная геометрия - * plane проективная плоскость выдающийся, выступающий

Большой англо-русский и русско-английский словарь > projective
11 если

. дано; при условии, что

•
This term is useful, however, as long as the complexities involved are kept in mind.

•
Once the surface of normal velocity has been obtained, the wave front may be easily constructed.

•
The exact structure, providing (or provided) it is known, is given in a schematic representation.

•
The coke recovered in this operation is of electrode grade if produced from low-ash content feedstock.

•
All these jugs are housed in wooden boxes to catch fragments in the event that atmospheric pressure shatters the glass.

•
Such materials are satisfactory provided ( that) they do not form corrosive chlorides.

•
Should the presence of cast iron escape the first examination it may then be detected and any adjustment necessary can be made on the spot.

Русско-английский научно-технический словарь переводчика > если
12 если

. дано; при условии, что

•
This term is useful, however, as long as the complexities involved are kept in mind.

•
Once the surface of normal velocity has been obtained, the wave front may be easily constructed.

•
The exact structure, providing (or provided) it is known, is given in a schematic representation.

•
The coke recovered in this operation is of electrode grade if produced from low-ash content feedstock.

•
All these jugs are housed in wooden boxes to catch fragments in the event that atmospheric pressure shatters the glass.

•
Such materials are satisfactory provided ( that) they do not form corrosive chlorides.

•
Should the presence of cast iron escape the first examination it may then be detected and any adjustment necessary can be made on the spot.

* * *
Если -- if; should; providing, provided; in the event, as long as; as, when. При переводе некоторых русских оборотов опускается (см. например, "Если говорить более конкретно", "Если говорить вкратце", "Если не принимать во внимание", "Если не считать этого обстоятельства", "Если подходить к этому вопросу реалистически")
If these restrictions are satisfied, bubble-ring cavitation will definitely occur.

Should a particular frequency response exhibit significant scatter, it generally reveals the presence of a nonlinearity in the sensing system.

The vacuum shell acts as the lateral support for the toroidal field magnets in the event perturbations should develop in the toroidal fields from a fault condition.

It can be shown that the minimum of W occurs at a value of rc greater than п as long as t0 ® Ґ.

— а если ещё учесть, что...

— а если это так, то...

— было бы весьма удивительным, если бы...

— в этом нетрудно убедиться, если

— даже если пренебречь

— делать очень трудным, если вообще не невозможным

— если..., то спрашивается

— если... что-либо значит

— если бы было наоборот

— если бы можно было

— если бы на самом деле

— если бы не то обстоятельство, что

— если бы нужно было

— если бы этого не делалось

— если вначале представить себе

— если вообще возможно

— если всё же

— если говорить более конкретно, то

— если говорить вкратце, то

— если говорить о недостатках, то

— если для начала пренебречь

— если есть возможность

— если есть подозрение, что

— если и встречается, то очень редко

— если и не

— если и существует, то

— если иметь в виду

— если мы имеем

— если мы не хотим, чтобы

— если мы хотим, чтобы

— если на время оставить в стороне другие соображения

— если не оговорено особо

— если не принимать во внимание

— если не принять соответствующих мер по борьбе с

— если не считать этого обстоятельства

— если неисправность сохраняется

— если ограничиться всего лишь

— если окажется, что

— если перейти к ещё более частному случаю

— если поверить в то, что

— если подходить к этому вопросу реалистически

— если позволят средства

— если позднее возникнет необходимость в таком

— если полностью пренебречь

— если попытаться

— если поступиться

— если предположить, что

— если представить себе, что существует

— если принять, что

— если продолжить аналогию ещё дальше

— если с... все в порядке

— если смотреть на

— если смотреть сверху

— если судить по

— если такая необходимость возникнет

— если только

— если учесть, что

— если это возможно

— если это можно назвать

— если это не оговорено иначе

— если это не так, то

— если это не требуется какими-либо техническими условиями

— если это нужно

— если это окажется необходимым

— если это потребуется

— если это условие не соблюдается

— если этого не сделать

— и если это так, то

— как если бы

— можно было бы..., если бы

— мы не очень ошибёмся, если скажем, что

— на тот редкий случай, если

— не так уж и удивительно, если учесть

— некоторые, если не все

— особенно, если учесть, что

— сказанное справедливо только в случае, если

— так бывает обычно, если

— такие же, если не большие

— условие удовлетворяется, если

— что бывает, если

— что совсем неплохо, если учесть

— это и понятно, если учесть

Русско-английский научно-технический словарь переводчика > если
13 matrix

1) мат. матрица || матричный

2) форма, шаблон

3) прямоугольная таблица

4) растр

5) решётка

6) таблица

7) геол. материнская порода, основная масса ( породы)

8) основа кристаллического вещества; кристаллическая решётка

•

adjoint of a matrix — сопряжённая матрица

in a matrix form — в матричной форме

proof by matrices — доказательство с помощью матриц

representation by matrices — матричное представление

to invert a matrix — обращать матрицу

to multiply a matrix on left — умножать матрицу слева

- absolutely bounded matrix
- absolutely equivalent matrices
- absorption matrix

- additively inverse matrix
- adjoint matrices
- adjoint matrix

- adjugate matrix

- admissible matrix

- alias matrix

- allocation matrix

- almost normal matrix
- almost perfect matrix - almost periodic matrix - almost superdiagonal matrix
- alternant matrix

- alternate matrix

- alternating matrix

- analytical matrix

- annihilating matrix

- antiself-dual matrix

- antisymmetric matrix

- antisymmetrical matrix

- aperiodic matrix

- associated matrix

- association matrix
- associative matrix
- asymtotic matrix

- augmented matrix

- autocorrelation matrix

- autocovariance matrix

- automaton matrix

- backcirculant matrix

- badly conditioned matrix

- basic matrix

- best conditioned matrix

- bidiagonal matrix

- bigradient matrix

- binary matrix

- biorthogonal matrices
- birth-death coefficient matrix
- block matrix

- block-diagonal matrix

- block-floating matrix

- block-periodic matrix

- block-stochastic matrix

- block-triangular matrix

- block-tridiagonal matrix

- bordered matrix

- boundary matrix

- bounded matrix

- canonical matrix

- capacity matrix

- cellular matrix

- centrosymmetrical matrix

- characteristic equation matrix

- characteristic matrix

- check matrix

- circuit matrix

- circuit-basis matrix

- clique matrix

- clique-incidence matrix

- cocircuit matrix
- cocycle matrix
- coding matrix

- cohesiveness matrix

- column definite matrix

- column-bounded matrix

- column-equilibrated matrix

- column-finite matrix

- column-infinite matrix

- column-reduced matrix

- combinatorial matrix

- combinatorially equivalent matrices
- commutative matrix - commute matrices - commuting matrix
- companion matrix

- comparable matrices

- compatibility matrix

- complete correlation matrix

- complete matrix

- completely reducible matrix
- complex conjugate matrix
- complex matrix

- complex orthogonal matrix

- component matrix

- composite matrix
- compound matrix
- conference matrix

- conformable matrices

- conformable matrix

- confounding matrix

- congruent matrices
- conjunctive matrices
- connected matrix

- connectedness matrix

- connection matrix

- conservative matrix

- consistent matrices
- consistently ordered matrix
- constant matrix

- constituent matrices matrix
- constituent matrices
- constraint matrix

- continuous matrix

- contraction matrix

- conversion matrix

- coordinatization matrix

- copositive matrix

- copositive-plus matrix

- correcting matrix

- cotree incidence matrix

- counterdiagonal matrix

- counteridentity matrix

- counterorthogonal matrices

- countersymmetrical matrix

- counterunitary matrix

- covariant matrix

- crossing matrix

- curvature matrix

- cutset basis matrix

- cutset matrix

- cyclic matrix

- cyclomatic matrix

- damping matrix

- decision matrix

- decoding matrix

- decomposable matrix

- decomposition matrix

- defective matrix
- deficient matrix
- degenerate matrix

- dense matrix

- derivative matrix

- derogatory matrix

- design matrix

- detour matrix

- deviation matrix

- diagnostic matrix

- diagonalizable matrix

- diagonalizing matrix

- diagonally dominant matrix

- differential matrix

- dilated matrix

- discontinuous matrix

- dispersion matrix

- distance matrix

- distribution matrix

- double diagonal matrix
- doubly degenerated matrix - doubly stochastic matrix
- dynamical matrix

- echelon matrix

- edge incident matrix

- edge matrix

- effectiveness matrix

- elementary matrix

- elimination matrix

- elliptic matrix

- encoder matrix
- encoding matrix
- equicofactor matrix

- equivalent matrices

- ergodic matrix

- essentially nonnegative matrix
- essentially positive matrix
- even matrix

- evolutional matrix

- exceptional matrix

- expansion matrix

- exponent matrix

- extended matrix

- fixed matrix

- flat type matrix

- flow matrix

- formal log-exponential matrix

- four-by-four matrix

- four-column matrix

- fully indecomposable matrix

- function of matrix

- fundamental matrix

- fuzzy matrix

- gains matrix

- general matrix

- generalized matrix

- graded matrix

- group matrix

- grouping matrix

- high-order matrix

- holomorphic matrix

- horizontally symmetrical matrix

- hyperbolic matrix

- hypercompanion matrix

- idempotent matrix

- identifiability matrix

- imaginary matrix

- immittance matrix

- imprimitive matrix

- improper matrix

- inconsistent matrices

- indecomposable matrix

- independent matrices

- ineffective matrix

- influence matrix

- integration matrix

- interblock matrix

- intersection matrix

- intrablock matrix

- invariant matrix

- invertible matrix

- involutive matrix

- irreducible matrix

- isotopic matrix

- iteration matrix

- jump matrix

- kinematically similar matrices

- lambda matrix

- leading matrix

- left-invariant matrix

- left-nonsingular matrix

- limiting matrix

- limiting transition matrix

- line matrix

- linearly dependent matrices

- linotype matrix

- logical conversion matrix

- logical matrix

- loop matrix

- loss matrix

- lower triangular matrix
- magnetic core matrix
- mapping matrix

- matrix of bilinear map

- matrix of coefficients

- matrix of constants

- matrix of linear map
- matrix of linear transformation
- matrix of observations

- matrix of orientation

- matrix of system

- matrix of wires

- m-by-n matrix

- m-column matrix

- mean-square error matrix

- measure matrix

- measurement error matrix

- meromorphic matrix

- minor definite matrix

- mixing matrix

- modal matrix

- model matrix

- mold matrix

- moment matrix

- monodromy matrix

- monomial matrix

- monotone matrix

- monotonicity matrix

- monotype matrix

- multidimensional matrix

- multiple-array matrix

- multiplicative inverse matrix
- multiplicatively cogredient matrix - multiply degenerate matrix - mutually consistent matrices
- n-by-n matrix

- n-column matrix

- nearly singular matrix
- nearly triangular matrix
- negative matrix

- negatively definite matrix
- negatively semidefinite matrix
- nilpotent matrix

- nil-triangular matrix

- node-arc incidence matrix

- nonconstant matrix

- nondegenerate matrix

- nonderogatory matrix

- nonexceptional matrix

- noninvertible matrix

- nonnegative matrix

- nonnegatively definite matrix
- nonnegatively semidefinite matrix
- nonnormal matrix

- nonorthogonal matrix

- nonpositive matrix

- nonrecurrent circulant matrix

- nonrecurrent matrix

- nonsymmetrical matrix

- non-unitary matrix

- nonvacuous matrix

- normalized matrix

- normed matrix

- n-rowed matrix

- n-th order matrix

- null matrix

- numerical matrix

- observability matrix

- observation matrix

- odd matrix

- one-by-three column matrix

- one-by-three row matrix

- one-step transition matrix

- operator matrix

- ordering matrix

- orthogonally equivalent matrices
- orthogonally similar matrices
- orthostochastic matrix

- oscillating matrix

- output matrix

- parabolic matrix

- paramount matrix

- parastrophic matrix

- parity-check matrix

- path matrix

- payoff matrix

- perfect matrix

- permutation matrix

- persymmetrical matrix

- pi matrix

- plain matrix

- polynomial matrix

- positive definite matrix
- positively definite matrix - positively semidefinite matrix
- precedence matrix

- preference matrix

- principal minor matrix

- probability matrix

- product matrix

- proximity matrix

- pseudoinverse matrix

- pseudoorthogonal matrix

- pseudoscalar matrix

- pseudosymplectic matrix

- pseudounitary matrix

- quadratic matrix

- qualification matrix

- quasicanonical matrix

- quasicommutative matrix

- quasidiagonal matrix

- quasidual matrix

- quasiinverse matrix

- quasi-inverse matrix

- quasiscalar matrix

- quasistochastic matrix

- quasisymmetrical matrix

- quasitriangular matrix

- quasitridiagonal matrix

- quaternionic matrix

- rational matrix

- reachability matrix

- real matrix

- reciprocal matrix

- rectangular matrix

- recursive matrix

- reflexion matrix

- regret matrix

- regular matrix

- regularly arranged matrix
- regularly partitioned matrix
- relational matrix

- residue matrix

- resolvent matrix

- reversible matrix

- right-invariant matrix

- right-nonsingular matrix

- rotation matrix

- row-bounded matrix

- row-equilibrated matrix

- row-finite matrix

- row-infinite matrix

- row-monomial matrix

- sandwich matrix

- scrambling matrix

- secondary matrix

- self-adjoint matrix

- self-conjugated matrix

- self-orthogonal matrix

- semantic matrix

- semicontinuous matrix

- semidefinite matrix

- semidiagonal matrix

- semiorthogonal matrix

- semisimple matrix

- semistable matrix

- shifting matrix

- signal matrix

- similar matrices

- similarity matrix

- simple classical matrix

- simplectic matrix

- simply degenerate matrix

- single-column matrix

- single-row matrix

- skeleton matrix

- skew matrix

- skew-symmetric matrix

- slightly intertwined matrices

- solenoidal matrix

- spectral density matrix

- spectral matrix

- spin matrix

- standardized matrix

- state-transition matrix

- statistical matrix

- steel matrix

- strictly triangular matrix
- strictly upper triangular matrix - strongly equivalent matrices
- structural matrix

- structure matrix

- structure of matrix

- subdiagonal matrix

- subinverse matrix

- substitution matrix

- substochastic matrix

- summation matrix

- superdiagonal matrix

- superinverse matrix

- superstochastic matrix

- symmetrized matrix

- system matrix

- system transfer matrix

- test matrix

- Toplitz matrix

- totally inefficient matrix
- totally nonnegative matrix - totally positive matrix - totally unimodular matrix
- traceless matrix

- transfer rate matrix

- transformed matrix

- transforming matrix

- transmission matrix

- trapezoidal matrix

- tree matrix

- triangulable matrix

- two-diagonal matrix

- two-dimensional matrix

- two-row matrix

- two-sided reciprocal matrix

- two-variable matrix

- unconditionally stable matrix
- uniformly tapered matrix
- unimodal matrix

- unimodular matrix

- union matrix

- unipotent matrix

- unitarily equivalent matrices

- unitary matrices

- unity matrix

- universal matrix

- unreduced matrix

- var-covar matrix

- variation diminishing matrix

- variation limiting matrix

- varying unitary matrix
- vertex incidence matrix
- vertex matrix

- vertex-edge incidence matrix
- vertically symmetrical matrix - weakly cyclic matrix
- weight matrix

- well-conditioned matrix

- zero matrix

English-Russian scientific dictionary > matrix
14 problem

1) задача; проблема

2) неисправность

3) трудность, затруднение

•

problem with fixed boundaries — задача с неподвижными границами

problem with losses — задача об обслуживании с потерями

problem with movable boundaries — задача с подвижными границами

problem with waiting — задача об обслуживании с ожиданием

to attack a problem — штурмовать проблему

to formulate a problem — формулировать проблему

to work out a problem — разрабатывать проблему

to state a problem — ставить задачу

- absorption problem

- abstract problem

- accompanying problem

- adjoint problem

- advertizing problem

- algebraic problem

- algorithmically unsolvable problem

- applied problem

- approach problem

- arithmetical problem

- assignment problem

- asymptotic problem

- attack-and-defense problem

- augmented problem

- auxiliary problem

- axially symmetric problem

- ballistic problem

- ballot problem

- barrier problem

- basic maximum problem

- betting problem

- bidual problem

- bifurcation problem

- biharmonic problem

- binary problem

- birthday problem

- blending problem

- bottleneck problem

- boundary problem
- boundary value problem
- bounded problem

- bounded-variable problem

- brachistochrone problem

- burglar problem

- cake-cutting problem

- calculability problem

- canonical problem

- capacitated transportation problem
- card matching problem
- cataloguing problem

- caterer problem

- Cauchy problem

- center problem

- center-and-focus problem

- central asymptotic problem
- central limit problem
- chance-constrained problem

- characteristic problem

- characterization problem

- check problem

- classical problem

- classification problem

- closed problem

- coercitive problem

- coexistence problem

- coin-tossing problem

- coin-weighing problem

- coloring problem

- combinatorial problem

- compactness problem

- competitive problem

- compression problem

- computational problem

- conceptual problem

- conjugate problem

- constant problem

- construction problem

- continuum problem

- contract-awards problem

- control problem

- convergence problem

- convex programming problem

- correspondence problem

- counterfeit coin problem

- crossing problem

- dancing problem

- decidability problem

- decision problem under certainty
- decision problem under risk - decision problem under uncertainty
- decoding problem

- degenerate problem

- delivery problem

- diet problem

- differentiation problem

- diffusion problem

- dimensionality problem

- direct problem

- Dirichlet's problem

- disorder problem

- distribution problem

- divisor problem

- domino problem

- econometric problem

- effectivity problem

- eigenvalue problem

- election problem

- embedding problem

- empirical problem

- encounter problem

- entrance-fee problem

- enumerability problem

- enumeration problem

- epistemological problem

- equilibrium problem

- equivalence problem

- equivalent problem

- error minimization problem

- estimation problem

- evolutionary problem

- explosion problem

- extended problem

- extension problem

- extremal problem
- extremum problem - fair division problem
- feasibility problem

- feasible problem

- feed mix problem

- filtering problem

- finitary problem

- five queens problem

- fixed-charge problem

- flow problem

- forecasting problem

- foreman problem

- gambler ruin problem
- gambling problem - gasoline blending problem
- general problem

- generalized problem

- gold-mining problem

- graph-theoretic problem

- halting problem

- hill-climbing problem

- homogeneity problem

- homogeneous problem

- homotopy problem

- identification problem

- identity problem

- ill-conditioned problem

- ill-defined problem

- ill-posed problem

- ill-structured problem

- improperly posed problem
- incompletely structured problem
- index of problem

- infeasible problem

- inference problem

- infinite medium problem

- infinitesimal problem

- information retrieval problem

- inhomogeneous problem

- initial problem

- initial-value problem

- inner problem

- insoluble problem

- integration problem

- interpolation problem

- intractable problem

- intricate problem

- invariant problem

- inverse problem

- inversion problem

- irregular problem

- isometric problem

- isomorphism problem

- isoperimetric problem

- knapsack problem

- knight problem

- labyrinth problem

- lattice search problem

- linear problem

- loading problem

- location problem

- many-body problem

- map-colouring problem

- map-folding problem

- mass problem

- master problem

- matching problem

- mathematical problem

- maximization problem

- maximum-flow problem

- menage problem

- menu problem

- metrization problem

- minimal length problem

- minimax problem

- minimization problem

- mixed problem

- module problem

- moment problem

- monkey-banana problem

- monotonic problem

- moving boundary problem

- multicriterion problem

- multidecision problem

- multidimensional problem

- multiextremal problem

- multiindex problem

- multiple-integral problem

- multivariate problem

- natural problem

- necklace problem

- needle problem

- nested problem

- network flow problem

- network problem

- newspaper-boy problem

- nondifferentiable problem

- nonhomogeneous problem

- nonlinear problem

- nonlinear programming problem

- nonparametric problem

- nonsequential problem

- nonstationary problem

- nonstochastic problem

- non-uniform problem

- nonwell-posed problem

- normal problem

- normative problem

- number problem

- numerical problem

- observation problem

- occupancy problem

- one-armed bandit problem

- one-dimensional problem

- one-sample problem

- open problem

- optimal assignment problem
- optimal path problem - optimal stopping problem
- optimization problem

- optimum problem

- orderability problem

- original problem

- outer problem

- overspecified problem

- packing problem

- parametric dual problem

- parking problem

- partition problem

- percolation problem

- permutation problem

- personnel-assignment problem

- petrol blending problem

- picnic problem

- plane problem

- Plateau's problem

- polar problem

- polynomial approximation problem
- portfolio selection problem
- positional problem

- postman problem

- power moment problem
- precisely specified problem
- prediction problem

- prefix problem

- prey-predator problem

- primal problem

- probabilistic problem

- problem of allocation

- problem of deadly embrace

- problem of derangements

- problem of eight queens

- problem of elimination

- problem of form equivalence

- problem of interpolating

- problem of interpretation

- problem of inverse probability

- problem of localization

- problem of matching

- problem of projectivity

- problem of reduction

- problem of separability

- problem of six red disks

- problem of solvability

- problem of thirteen spheres

- problem of uniqueness

- problem of warders

- programming problem

- properly posed problem

- purchasing problem

- pursuit problem

- puzzle problem

- pyramided problem

- quadratic programming problem

- quadrature problem

- quasilinear problem

- random-walk problem

- ranking problem

- realizability problem

- recursively enumerable problem
- recursively solvable problem
- reduced problem

- reducibility problem

- reducible problem

- regression problem

- relaxed problem

- rendezvous problem

- representation problem

- resource allocation problem

- restricted problem

- roulette problem

- routine problem

- ruin problem

- saddle point problem

- satisfiability problem

- scheduling problem

- schoolgirls problem

- scope of problem

- search problem

- secretary problem

- self-adjoint problem

- semidefinite problem

- separable problem

- separation problem

- sequencing problem

- sequential decision problem
- sequential decision programming problem - sequential occupancy problem - shortest path problem - shortest route problem
- singular problem

- solvable problem

- special problem

- specialization problem

- spectral problem

- stable marriage problem
- standard control problem
- statistical problem

- stereometric problem

- stiff problem

- stopping problem

- structural problem

- substitution problem

- symmetric problem

- systems analysis problem

- taxicab problem

- tenth problem

- termination problem

- ternary problem

- three body problem
- three houses and three wells problem
- three-choice problem

- three-color problem

- three-dimensional problem

- three-point problem

- timetable problem

- tournament problem

- toymaker problem

- trace problem

- tradeoff problem

- traffic problem

- trajectory problem

- transformed problem

- transport problem

- transportation problem

- transshipment problem

- trasport problem

- travelling salesman problem

- tree-structured problem

- triangulizability problem

- trigonometric moment problem

- trigonometric problem

- trim problem

- two body problem

- two noncharacteristic problem

- two-armed-bandit problem

- two-body problem

- two-choice problem

- two-dimensional problem

- two-means problem

- two-point boundary problem

- two-sample problem

- uncertainty problem

- unconstrained problem

- undecidable problem

- underspecified problem

- unicity problem

- universal problem

- unsolvable problem

- unstable problem

- unstructural problem

- unsymmetric dual problem

- variational problem

- waiting time problem

- warehousing problem

- well-behaved problem

- well-defined problem

- well-formulated problem

- well-set problem

- well-structured problem

- word problem

- worked problem

English-Russian scientific dictionary > problem

См. также в других словарях:

Normal-form game — In game theory, normal form is a way of describing a game. Unlike extensive form, normal form representations are not graphical per se, but rather represent the game by way of a matrix. While this approach can be of greater use in identifying… … Wikipedia
First normal form — (1NF or Minimal Form) is a normal form used in database normalization. A relational database table that adheres to 1NF is one that meets a certain minimum set of criteria. These criteria are basically concerned with ensuring that the table is a… … Wikipedia
Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… … Wikipedia
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Normal mode — For other types of mode, see Mode (disambiguation). Vibration of a single normal mode of a circular disc with a pinned boundary condition along the entire outer edge. See other modes. A normal mode of an oscillating system is a pattern of motio … Wikipedia
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Representation theory of diffeomorphism groups — In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively on M .HistoryA survey paper from 1975 of the subject by… … Wikipedia
Canonical form (Boolean algebra) — In Boolean algebra, any Boolean function can be expressed in a canonical form using the dual concepts of minterms and maxterms. Minterms are called products because they are the logical AND of a set of variables, and maxterms are called sums… … Wikipedia
Modular representation theory — is a branch of mathematics, and that part of representation theory that studies linear representations of finite group G over a field K of positive characteristic. As well as having applications to group theory, modular representations arise… … Wikipedia

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normal form representation

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normal form representation

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