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1 inner product space
Математика: пространство со скалярным произведением -
2 inner product space
iç çarpımlı uzay -
3 inner product space
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4 inner product space
உட்பெருக்கல் வெளி -
5 inner product space
sisätuloavaruusEnglish-Finnish mathematical dictionary > inner product space
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6 inner product space
iç çarpımlı uzay -
7 space
1) интервал, промежуток2) пробел || оставлять пробелы3) область; площадь4) пространство || пространственный5) космос, космическое пространство6) полость7) расстояние•- absolutely compact space - absolutely embedded space - absolutely thick space - algebraically parallel space - almost complex space - almost expandable space - almost isomorphic space - almost metric space - almost nonsingular space - almost paracompact space - almost pretopological space - analytically ramified covering space - arcwise connected space - centrally harmonic space - compactly ordered space - completely continuous space - completely degenerate space - completely disconnected space - completely harmonic space - completely metric space - completely normal space - completely reducible space - completely regular space - completely reticulated space - completely separable space - completely separated space - completely symmetric space - completely uniformizable space - constant curvature space - continuous sample space - continuously ordered space - contractible in itself space - countably compactifiable space - countably dimensional space - countably generated space - countably infinite space - countably metacompact space - countably multinormed space - countably normed space - countably paracompact space - countably refinable space - countably subcompact space - finitely productive space - finitely sheeted space - finitely triangulated space - fully normal space - general metrizable space - general topological space - global analytic space - globally symmetric space - hereditarily normal space - hereditarily paracompact space - hereditarily separable space - hereditarily symmetric space - holomorphic tangent space - holomorphically complete space - holomorphically convex space - homotopy associative space - iterated loop space - linearly connected space - linearly ordered space - linearly topologized space - load space - locally bounded space - locally closed space - locally compact space - locally complete space - locally connected space - locally contractible space - locally convex space - locally directed space - locally fine space - locally holomorphic space - locally homogeneous space - locally hyperbolic space - locally linear space - locally metrizable space - locally ringed space - locally separable space - locally simply connected space - locally solid space - locally spherical space - locally star-shaped space - locally symmetric space - locally timelike space - locally triangulable space - monotonically normal space - naturally isomorphic space - naturally ordered space - naturally reductive space - nearly paracompact space - negative metric space - normally separated space - not simply connected space - nowhere connected space - null space of linear transformation - n-way projective space - perfectly normal space - perfectly regular space - perfectly screenable space - perfectly separable space - peripherically bicompact space - peripherically compact space - pointwise paracompact space - projectively metric space - quaternion hyperbolic space - quaternion projective space - quaternion vector space - regularly ordered space - relatively discrete space - relatively strong space - sequentially closed space - sequentially compact space - sequentially complete space - sequentially quasicomplete space - sequentially separable space - simply ordered space - simply partitionable space - space of affine connectedness - space of complex homomorphisms - space of continuous functions - space of finite measure - space of linear interpolation - space of right cosets - space of scalar curvature - strongly bounded space - strongly closed space - strongly compact space - strongly complete space - strongly irreducible space - strongly normal space - strongly normed space - strongly paracompact space - strongly pseudocompact space - strongly pseudometrizable space - strongly rigid space - strongly screenable space - structural space - structure space - topologically complete space - totally disconnected space - totally geodesic space - totally imperfect space - totally normal space - totally orderable space - totally ordered space - water jacket space - weakly closed space - weakly compact space - weakly complete space - weakly covering space - weakly dense space - weakly favorable space - weakly n-dimensional space - weakly paracompact space - weakly regular space - weakly separable space - weakly symmetric spaceto space out — полигр. набирать вразрядку
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8 product
1) продукт2) изделие3) матем. произведение4) составляющая ( сигнала)•-
aliasing product
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asbestos-cement products
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base product
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black product
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bottom product
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brass-mill products
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building products
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Cartesian product
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cast product
- ceramic clay product -
ceramic product
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coal-chemical product
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coking products
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cold-finished products
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cold-rolled mill products
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combustion products
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concrete products
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convergent infinite product
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cross product
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cut black product
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daughter product
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decay product
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decomposition product
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deoxidation product
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desired product
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differentially coated products
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divergent infinite product
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dot product
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earthenware product
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electrical products
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enameled product
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end product
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fabricated rubber products
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film product
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finished product
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fission products
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fretting products
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gain bandwidth product
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gaseous fission products
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graded product
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gravity-free pharmaceutical product
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gross mining product
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half-finished product
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heat-generating fission products
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heavy clay product
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industrial rubber products
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infinite product
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inner product
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intermediate product
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intermodulation products
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light-end product
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logical product
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loose oxidation products
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main product
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marketable products
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microgravity pharmaceutical product
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middling product
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mineral product
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minor product
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mixed fission products
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modulation products
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neutralized product
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nonstock products
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nonvolatile fission products
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off-test product
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off-the-shelf product
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overhead product
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oxidation product
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partial product
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planing mill products
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product of distillation
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product of inertia
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program product
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proprietary product
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radioactive products
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refractory products
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remelting product
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retained product
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rolled products
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scalar product
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scalar triple product
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semifinished product
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semimanufactured product
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semi-processed product
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sheet products
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software product
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space pharmaceutical product
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spurious products
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steam-distilled product
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steam-refined product
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straight petroleum product
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structural clay product
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subquality products
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tensor product
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termination product
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time-bandwidth product
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transmutation product
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twisted product
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uncomplete combustion product
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undesired product
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vacuum-rolled products
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vector product
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vitreous product
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volatile fission products
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waste products
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waste-fission products
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wear products
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white product
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wire products
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zerogravity pharmaceutical product -
9 product
1) продукт
2) произведение
3) упаренный
4) упаренный раствор
5) фабрикат
6) пересечение
7) выработка
8) выпуск
9) дочернее ядро
10) изделие
11) продуктивный
12) умножение
13) товар
14) результат
– additive product
– bandwidth-duration product
– bottom product
– bottoms product
– break-down product
– build up a product
– combustion product
– continued product
– cross product
– cup product
– decay product
– direct product
– dot product
– explosion product
– farm product
– final product
– finished product
– fission product
– foundry product
– gain-bandwidth product
– half-finished product
– infinite product
– inner product
– intermediate product
– Kolmogorov-Alexander product
– marketable product
– matrix product
– mixed product
– outer product
– overhead product
– packaged product
– partial product
– petroleum product
– Pontrjagin product
– primary product
– product accumulator
– product bundle
– product code
– product control
– product holography
– product moment
– product of inertia
– product particle
– product register
– product rule
– product set
– product size
– product space
– quality of product
– reaction product
– rolled product
– scalar product
– subdirect product
– substandard product
– tensor product
– thickened product
– upgrade a product
– vector product
– waste product
– Whitney product
root gain-bandwidth product — <electr.> коэффициент эффективности усилителя
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10 IPS
1) Общая лексика: Identity and Passport Service2) Компьютерная техника: Importer Preprocessor System, Initial Palette Size, Internal Patching System, International Patch System3) Медицина: Identifying Patient Sets, International Patient Services4) Спорт: Innings Per Start5) Военный термин: Illustrative Planning Scenario, Imagery Processing System, Initial Production Series, Intelligence Production Section, Intelligence Production System, Internal Phone System, impact predictor system, improved processing system, incremental purchasing system, independent parachute squadron, inertial positioning system, information presentation system, infrastructure policy section, initial processing site, integrated power system, integrated processing system, Imagery Processing Segment (CARS)6) Техника: Indoor Power System, Integrated Pilot Shaft, Integrated Power Strake, instrument pointing system, instrumentation power system, interim policy statement, ion projection system7) Шутливое выражение: Immature Piece Of Shit8) Математика: бесконечно продолжающаяся последовательность (infinitely proceeding sequence), пространство со скалярным произведением (inner product space)9) Юридический термин: In Prison Soon, Inimical To Public Safety, Intelligent Pedestrian Surveillance10) Бухгалтерия: Interactive Purchasing System, Interim Payment System, Internet Payment Solutions, Internet Payment System11) Финансы: (International Payment Systems) МПС (Международная платежная система)12) Ветеринария: International Primatological Society13) Телевидение: датчик присутствия, датчик присутствия человека14) Телекоммуникации: Instructions Per Second15) Сокращение: In Plant Support (analyst), Inertial Pointing System, Information Processing Society, Information Processing Standards, Inlet Particle Separator, Institute of Pacific Studies, Integrated Power System (ship), Integrated Protection System (UK Royal Air Force), International Peat Society, Inward Primary Sorting, inch per second, iron pipe size16) Университет: Insurance Passport For Students, Introductory Physical Science17) Физика: Impulsive Phase Start18) Школьное выражение: Inverness Primary School19) Вычислительная техника: in-plane switching, Inertial Pointing System (Space), InPlane Switching (technology, LCD, Sony, Philips, NEC, Iiyama, Eizo, Dell, BenQ, Apple), набор протоколов Интернет, система обработки информации20) Нефть: improved plough steel, initial potential swabbing, initial production swabbing, island plant South, surface potential index, внутренний диаметр трубы (internal pipe size), начальный дебит после поршневания (initial production swabbing)21) Транспорт: Impact Protection System22) Фирменный знак: Imperial Pearl Syndicate, Intellectual Property Solutions, Intergraph Public Safety23) Деловая лексика: Implicit Price Support, Innovative Professional Services, Integrity People And Service, Intelligent Process Status, Invoice And Progress Schedule24) Глоссарий компании Сахалин Энерджи: instrument(ed) protective system25) Образование: Тюремное управление Израиля26) Инвестиции: инвестиционная декларация (investment policy statement)27) Сетевые технологии: Internet Protocol Suite, image processing system, information processing system, интеллектуальное управление питанием, набор протоколов Internet28) Полимеры: International Pipe Standard, impact polystyrene, internal pipe size29) Программирование: Incinerate Power Supply, система предотвращения вторжений (см. Intrusion Prevention System)30) Пластмассы: Integrated Petrochemical Site31) Сахалин Р: Instrumented Protective System32) Океанография: Interplanetary Scintillation33) Сахалин А: instrument protection system, instrument protective system34) Медицинская техника: inspiratory pressure support (ИВЛ)35) юр.Н.П. Indian Police Service (служба полиции Индии)36) Химическое оружие: Independent power supply, Integrated Program Services, Integrated Program Summary37) Макаров: International Plutonium Storage38) Безопасность: Intrusion Prevention System39) Нефть и газ: ice profiler sonar, (Ice Protection Structures) ледозащитные конструкции, ПНПС (промежуточная нефтеперекачивающая станция; intermediate pumping station), ГНПС, головная нефтеперекачивающая станция, initial pump station, initial pumping station, ледовый профиломер-гидролокатор40) Электротехника: instrument power supply41) Высокочастотная электроника: integrated power systems42) ООН: International Port Security43) Должность: Individual Placement And Support44) Программное обеспечение: International Patching Standard, Interpreter For Process Structures, Inventory Of Programs And Services45) Единицы измерений: Images Per Second -
11 iPS
1) Общая лексика: Identity and Passport Service2) Компьютерная техника: Importer Preprocessor System, Initial Palette Size, Internal Patching System, International Patch System3) Медицина: Identifying Patient Sets, International Patient Services4) Спорт: Innings Per Start5) Военный термин: Illustrative Planning Scenario, Imagery Processing System, Initial Production Series, Intelligence Production Section, Intelligence Production System, Internal Phone System, impact predictor system, improved processing system, incremental purchasing system, independent parachute squadron, inertial positioning system, information presentation system, infrastructure policy section, initial processing site, integrated power system, integrated processing system, Imagery Processing Segment (CARS)6) Техника: Indoor Power System, Integrated Pilot Shaft, Integrated Power Strake, instrument pointing system, instrumentation power system, interim policy statement, ion projection system7) Шутливое выражение: Immature Piece Of Shit8) Математика: бесконечно продолжающаяся последовательность (infinitely proceeding sequence), пространство со скалярным произведением (inner product space)9) Юридический термин: In Prison Soon, Inimical To Public Safety, Intelligent Pedestrian Surveillance10) Бухгалтерия: Interactive Purchasing System, Interim Payment System, Internet Payment Solutions, Internet Payment System11) Финансы: (International Payment Systems) МПС (Международная платежная система)12) Ветеринария: International Primatological Society13) Телевидение: датчик присутствия, датчик присутствия человека14) Телекоммуникации: Instructions Per Second15) Сокращение: In Plant Support (analyst), Inertial Pointing System, Information Processing Society, Information Processing Standards, Inlet Particle Separator, Institute of Pacific Studies, Integrated Power System (ship), Integrated Protection System (UK Royal Air Force), International Peat Society, Inward Primary Sorting, inch per second, iron pipe size16) Университет: Insurance Passport For Students, Introductory Physical Science17) Физика: Impulsive Phase Start18) Школьное выражение: Inverness Primary School19) Вычислительная техника: in-plane switching, Inertial Pointing System (Space), InPlane Switching (technology, LCD, Sony, Philips, NEC, Iiyama, Eizo, Dell, BenQ, Apple), набор протоколов Интернет, система обработки информации20) Нефть: improved plough steel, initial potential swabbing, initial production swabbing, island plant South, surface potential index, внутренний диаметр трубы (internal pipe size), начальный дебит после поршневания (initial production swabbing)21) Транспорт: Impact Protection System22) Фирменный знак: Imperial Pearl Syndicate, Intellectual Property Solutions, Intergraph Public Safety23) Деловая лексика: Implicit Price Support, Innovative Professional Services, Integrity People And Service, Intelligent Process Status, Invoice And Progress Schedule24) Глоссарий компании Сахалин Энерджи: instrument(ed) protective system25) Образование: Тюремное управление Израиля26) Инвестиции: инвестиционная декларация (investment policy statement)27) Сетевые технологии: Internet Protocol Suite, image processing system, information processing system, интеллектуальное управление питанием, набор протоколов Internet28) Полимеры: International Pipe Standard, impact polystyrene, internal pipe size29) Программирование: Incinerate Power Supply, система предотвращения вторжений (см. Intrusion Prevention System)30) Пластмассы: Integrated Petrochemical Site31) Сахалин Р: Instrumented Protective System32) Океанография: Interplanetary Scintillation33) Сахалин А: instrument protection system, instrument protective system34) Медицинская техника: inspiratory pressure support (ИВЛ)35) юр.Н.П. Indian Police Service (служба полиции Индии)36) Химическое оружие: Independent power supply, Integrated Program Services, Integrated Program Summary37) Макаров: International Plutonium Storage38) Безопасность: Intrusion Prevention System39) Нефть и газ: ice profiler sonar, (Ice Protection Structures) ледозащитные конструкции, ПНПС (промежуточная нефтеперекачивающая станция; intermediate pumping station), ГНПС, головная нефтеперекачивающая станция, initial pump station, initial pumping station, ледовый профиломер-гидролокатор40) Электротехника: instrument power supply41) Высокочастотная электроника: integrated power systems42) ООН: International Port Security43) Должность: Individual Placement And Support44) Программное обеспечение: International Patching Standard, Interpreter For Process Structures, Inventory Of Programs And Services45) Единицы измерений: Images Per Second -
12 ips
1) Общая лексика: Identity and Passport Service2) Компьютерная техника: Importer Preprocessor System, Initial Palette Size, Internal Patching System, International Patch System3) Медицина: Identifying Patient Sets, International Patient Services4) Спорт: Innings Per Start5) Военный термин: Illustrative Planning Scenario, Imagery Processing System, Initial Production Series, Intelligence Production Section, Intelligence Production System, Internal Phone System, impact predictor system, improved processing system, incremental purchasing system, independent parachute squadron, inertial positioning system, information presentation system, infrastructure policy section, initial processing site, integrated power system, integrated processing system, Imagery Processing Segment (CARS)6) Техника: Indoor Power System, Integrated Pilot Shaft, Integrated Power Strake, instrument pointing system, instrumentation power system, interim policy statement, ion projection system7) Шутливое выражение: Immature Piece Of Shit8) Математика: бесконечно продолжающаяся последовательность (infinitely proceeding sequence), пространство со скалярным произведением (inner product space)9) Юридический термин: In Prison Soon, Inimical To Public Safety, Intelligent Pedestrian Surveillance10) Бухгалтерия: Interactive Purchasing System, Interim Payment System, Internet Payment Solutions, Internet Payment System11) Финансы: (International Payment Systems) МПС (Международная платежная система)12) Ветеринария: International Primatological Society13) Телевидение: датчик присутствия, датчик присутствия человека14) Телекоммуникации: Instructions Per Second15) Сокращение: In Plant Support (analyst), Inertial Pointing System, Information Processing Society, Information Processing Standards, Inlet Particle Separator, Institute of Pacific Studies, Integrated Power System (ship), Integrated Protection System (UK Royal Air Force), International Peat Society, Inward Primary Sorting, inch per second, iron pipe size16) Университет: Insurance Passport For Students, Introductory Physical Science17) Физика: Impulsive Phase Start18) Школьное выражение: Inverness Primary School19) Вычислительная техника: in-plane switching, Inertial Pointing System (Space), InPlane Switching (technology, LCD, Sony, Philips, NEC, Iiyama, Eizo, Dell, BenQ, Apple), набор протоколов Интернет, система обработки информации20) Нефть: improved plough steel, initial potential swabbing, initial production swabbing, island plant South, surface potential index, внутренний диаметр трубы (internal pipe size), начальный дебит после поршневания (initial production swabbing)21) Транспорт: Impact Protection System22) Фирменный знак: Imperial Pearl Syndicate, Intellectual Property Solutions, Intergraph Public Safety23) Деловая лексика: Implicit Price Support, Innovative Professional Services, Integrity People And Service, Intelligent Process Status, Invoice And Progress Schedule24) Глоссарий компании Сахалин Энерджи: instrument(ed) protective system25) Образование: Тюремное управление Израиля26) Инвестиции: инвестиционная декларация (investment policy statement)27) Сетевые технологии: Internet Protocol Suite, image processing system, information processing system, интеллектуальное управление питанием, набор протоколов Internet28) Полимеры: International Pipe Standard, impact polystyrene, internal pipe size29) Программирование: Incinerate Power Supply, система предотвращения вторжений (см. Intrusion Prevention System)30) Пластмассы: Integrated Petrochemical Site31) Сахалин Р: Instrumented Protective System32) Океанография: Interplanetary Scintillation33) Сахалин А: instrument protection system, instrument protective system34) Медицинская техника: inspiratory pressure support (ИВЛ)35) юр.Н.П. Indian Police Service (служба полиции Индии)36) Химическое оружие: Independent power supply, Integrated Program Services, Integrated Program Summary37) Макаров: International Plutonium Storage38) Безопасность: Intrusion Prevention System39) Нефть и газ: ice profiler sonar, (Ice Protection Structures) ледозащитные конструкции, ПНПС (промежуточная нефтеперекачивающая станция; intermediate pumping station), ГНПС, головная нефтеперекачивающая станция, initial pump station, initial pumping station, ледовый профиломер-гидролокатор40) Электротехника: instrument power supply41) Высокочастотная электроника: integrated power systems42) ООН: International Port Security43) Должность: Individual Placement And Support44) Программное обеспечение: International Patching Standard, Interpreter For Process Structures, Inventory Of Programs And Services45) Единицы измерений: Images Per Second -
13 integral
1) интеграл || интегральный2) неотъемлемый3) суммарный4) целостный; цельный•integral taken over — интеграл по; интеграл, распространенный на
integral taken over space — интеграл по объёму, интеграл по пространственной области
integral taken round closed circuit — круговой интеграл, интеграл по замкнутому контуру
integral taken through surface — интеграл по поверхности, поверхностный интеграл
- quadruple integral - topological direct integralto take integral of — брать интеграл от, интегрировать
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14 Creativity
Put in this bald way, these aims sound utopian. How utopian they areor rather, how imminent their realization-depends on how broadly or narrowly we interpret the term "creative." If we are willing to regard all human complex problem solving as creative, then-as we will point out-successful programs for problem solving mechanisms that simulate human problem solvers already exist, and a number of their general characteristics are known. If we reserve the term "creative" for activities like discovery of the special theory of relativity or the composition of Beethoven's Seventh Symphony, then no example of a creative mechanism exists at the present time. (Simon, 1979, pp. 144-145)Among the questions that can now be given preliminary answers in computational terms are the following: how can ideas from very different sources be spontaneously thought of together? how can two ideas be merged to produce a new structure, which shows the influence of both ancestor ideas without being a mere "cut-and-paste" combination? how can the mind be "primed," so that one will more easily notice serendipitous ideas? why may someone notice-and remember-something fairly uninteresting, if it occurs in an interesting context? how can a brief phrase conjure up an entire melody from memory? and how can we accept two ideas as similar ("love" and "prove" as rhyming, for instance) in respect of a feature not identical in both? The features of connectionist AI models that suggest answers to these questions are their powers of pattern completion, graceful degradation, sensitization, multiple constraint satisfaction, and "best-fit" equilibration.... Here, the important point is that the unconscious, "insightful," associative aspects of creativity can be explained-in outline, at least-by AI methods. (Boden, 1996, p. 273)There thus appears to be an underlying similarity in the process involved in creative innovation and social independence, with common traits and postures required for expression of both behaviors. The difference is one of product-literary, musical, artistic, theoretical products on the one hand, opinions on the other-rather than one of process. In both instances the individual must believe that his perceptions are meaningful and valid and be willing to rely upon his own interpretations. He must trust himself sufficiently that even when persons express opinions counter to his own he can proceed on the basis of his own perceptions and convictions. (Coopersmith, 1967, p. 58)he average level of ego strength and emotional stability is noticeably higher among creative geniuses than among the general population, though it is possibly lower than among men of comparable intelligence and education who go into administrative and similar positions. High anxiety and excitability appear common (e.g. Priestley, Darwin, Kepler) but full-blown neurosis is quite rare. (Cattell & Butcher, 1970, p. 315)he insight that is supposed to be required for such work as discovery turns out to be synonymous with the familiar process of recognition; and other terms commonly used in the discussion of creative work-such terms as "judgment," "creativity," or even "genius"-appear to be wholly dispensable or to be definable, as insight is, in terms of mundane and well-understood concepts. (Simon, 1989, p. 376)From the sketch material still in existence, from the condition of the fragments, and from the autographs themselves we can draw definite conclusions about Mozart's creative process. To invent musical ideas he did not need any stimulation; they came to his mind "ready-made" and in polished form. In contrast to Beethoven, who made numerous attempts at shaping his musical ideas until he found the definitive formulation of a theme, Mozart's first inspiration has the stamp of finality. Any Mozart theme has completeness and unity; as a phenomenon it is a Gestalt. (Herzmann, 1964, p. 28)Great artists enlarge the limits of one's perception. Looking at the world through the eyes of Rembrandt or Tolstoy makes one able to perceive aspects of truth about the world which one could not have achieved without their aid. Freud believed that science was adaptive because it facilitated mastery of the external world; but was it not the case that many scientific theories, like works of art, also originated in phantasy? Certainly, reading accounts of scientific discovery by men of the calibre of Einstein compelled me to conclude that phantasy was not merely escapist, but a way of reaching new insights concerning the nature of reality. Scientific hypotheses require proof; works of art do not. Both are concerned with creating order, with making sense out of the world and our experience of it. (Storr, 1993, p. xii)The importance of self-esteem for creative expression appears to be almost beyond disproof. Without a high regard for himself the individual who is working in the frontiers of his field cannot trust himself to discriminate between the trivial and the significant. Without trust in his own powers the person seeking improved solutions or alternative theories has no basis for distinguishing the significant and profound innovation from the one that is merely different.... An essential component of the creative process, whether it be analysis, synthesis, or the development of a new perspective or more comprehensive theory, is the conviction that one's judgment in interpreting the events is to be trusted. (Coopersmith, 1967, p. 59)In the daily stream of thought these four different stages [preparation; incubation; illumination or inspiration; and verification] constantly overlap each other as we explore different problems. An economist reading a Blue Book, a physiologist watching an experiment, or a business man going through his morning's letters, may at the same time be "incubating" on a problem which he proposed to himself a few days ago, be accumulating knowledge in "preparation" for a second problem, and be "verifying" his conclusions to a third problem. Even in exploring the same problem, the mind may be unconsciously incubating on one aspect of it, while it is consciously employed in preparing for or verifying another aspect. (Wallas, 1926, p. 81)he basic, bisociative pattern of the creative synthesis [is] the sudden interlocking of two previously unrelated skills, or matrices of thought. (Koestler, 1964, p. 121)11) The Earliest Stages in the Creative Process Involve a Commerce with DisorderEven to the creator himself, the earliest effort may seem to involve a commerce with disorder. For the creative order, which is an extension of life, is not an elaboration of the established, but a movement beyond the established, or at least a reorganization of it and often of elements not included in it. The first need is therefore to transcend the old order. Before any new order can be defined, the absolute power of the established, the hold upon us of what we know and are, must be broken. New life comes always from outside our world, as we commonly conceive that world. This is the reason why, in order to invent, one must yield to the indeterminate within him, or, more precisely, to certain illdefined impulses which seem to be of the very texture of the ungoverned fullness which John Livingston Lowes calls "the surging chaos of the unexpressed." (Ghiselin, 1985, p. 4)New life comes always from outside our world, as we commonly conceive our world. This is the reason why, in order to invent, one must yield to the indeterminate within him, or, more precisely, to certain illdefined impulses which seem to be of the very texture of the ungoverned fullness which John Livingston Lowes calls "the surging chaos of the unexpressed." Chaos and disorder are perhaps the wrong terms for that indeterminate fullness and activity of the inner life. For it is organic, dynamic, full of tension and tendency. What is absent from it, except in the decisive act of creation, is determination, fixity, and commitment to one resolution or another of the whole complex of its tensions. (Ghiselin, 1952, p. 13)[P]sychoanalysts have principally been concerned with the content of creative products, and with explaining content in terms of the artist's infantile past. They have paid less attention to examining why the artist chooses his particular activity to express, abreact or sublimate his emotions. In short, they have not made much distinction between art and neurosis; and, since the former is one of the blessings of mankind, whereas the latter is one of the curses, it seems a pity that they should not be better differentiated....Psychoanalysis, being fundamentally concerned with drive and motive, might have been expected to throw more light upon what impels the creative person that in fact it has. (Storr, 1993, pp. xvii, 3)A number of theoretical approaches were considered. Associative theory, as developed by Mednick (1962), gained some empirical support from the apparent validity of the Remote Associates Test, which was constructed on the basis of the theory.... Koestler's (1964) bisociative theory allows more complexity to mental organization than Mednick's associative theory, and postulates "associative contexts" or "frames of reference." He proposed that normal, non-creative, thought proceeds within particular contexts or frames and that the creative act involves linking together previously unconnected frames.... Simonton (1988) has developed associative notions further and explored the mathematical consequences of chance permutation of ideas....Like Koestler, Gruber (1980; Gruber and Davis, 1988) has based his analysis on case studies. He has focused especially on Darwin's development of the theory of evolution. Using piagetian notions, such as assimilation and accommodation, Gruber shows how Darwin's system of ideas changed very slowly over a period of many years. "Moments of insight," in Gruber's analysis, were the culminations of slow long-term processes.... Finally, the information-processing approach, as represented by Simon (1966) and Langley et al. (1987), was considered.... [Simon] points out the importance of good problem representations, both to ensure search is in an appropriate problem space and to aid in developing heuristic evaluations of possible research directions.... The work of Langley et al. (1987) demonstrates how such search processes, realized in computer programs, can indeed discover many basic laws of science from tables of raw data.... Boden (1990a, 1994) has stressed the importance of restructuring the problem space in creative work to develop new genres and paradigms in the arts and sciences. (Gilhooly, 1996, pp. 243-244; emphasis in original)Historical dictionary of quotations in cognitive science > Creativity
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15 measure
nounмера fautomorphism of а measure space автоморфизм m пространства с меройBaire measure бэровская мера, мера Бэраcompactness of a family of measures компактность f семейства мерcompletion of а measure пополнение n мерыconvergence in measure сходимость f по мереcylindrical measure цилиндриче- ская мера, квазимера f, промера fextension of а measure продолжение n мерыflatly concentrated family of probability measures плоско концентрированное семейство вероятностных мерgeneralized measure обобщенная/знакопеременная мера, заряд mLevy measure мера Леви/скачковmeasure space пространство n с меройnet of measures сеть f мерoperator valued measure операторнозначная/операторная мераproduct measure произведение n мерRadon measure радонова мера, внутренне компактно регулярная мераrelative compactness of a family of measures относительная компактность семейства мерsigned measure знакопеременная/обобщенная мера, заряд msingular component of a measure сингулярная составляющая/компонента мерыsplicing of measures сращение n мерstochastic integral with respect to a random measure стохастический интеграл по случайной мереstochastic measure стохастическая/случайная мераАнглийский-русский словарь по теории вероятностей, статистике и комбинаторике > measure
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16 code
1) код, шифр || кодировать3) кодекс; свод4) вчт программа || программировать, писать программу5) нормы и правила; правила эксплуатации•to translate the code — преобразовывать код; транслировать программу
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17 function
1) функция, действие || функционировать; действовать- essential functions - routine function - safety-related functions2) функциональное назначение; роль- circuit function - intrinsic function - metering function - primary function - robot function - planning function - service function - support function4) функциональный узел ( машины)5) матем. функциональная зависимость, функция- absolutely additive function - absolutely bounded function - absolutely continuous function - absolutely integrable function - absolutely monotone function - absolutely summable function - absolutely symmetric function - almost complex function - almost continuous function - almost convex function - almost everywhere defined function - almost everywhere finite function - almost invariant function - almost periodic function - almost recursive function - almost separably-valued function - almost separating function - almost universal function - analytically independent function - analytically representable function - approximately differentiable function - asymptotically differentiable function - asymptotically finite function - asymptotically uniformly optimal function - bounded below function - cellwise continuous function - circumferentially mean p-valent function - comparison function - complementary error function - complete analytic function - completely additive function - completely computable function - completely monotone function - completely multiplicative function - completely productive function - completely subadditive function - completely symmetrical function - completely undefined function - complex hyperbolic function - conditional risk function - countably multiplicative function - countably valued function - covariant function - cumulative distribution function - cumulative frequency function - deficiency function - double limit function - doubly periodic function - doubly recursive function - effectively computable function - effectively constant function - effectively decidable function - effectively variable function - elementarily symmetric function - entire function of maximum type - entire function of mean type - entire function of potential type - entire function of zero type - entire rational function - essentially increasing function - essentially integrable function - essentially real function - essentially smooth function - everywhere differentiable function - everywhere smooth function - expansible function - explicitly definable function - exponentially convex function - exponentially decreasing function - exponentially increasing function - exponentially multiplicative function - exponentially vanishing function - finitely mean valent function - finitely measurable function - function of appropriate behavior - function of bounded characteristic - function of bounded type - function of bounded variation - function of complex variable - function of exponential type - function of finite genus - function of finite variation - function of fractional order - function of infinite type - function of integral order - function of maximal type - function of minimal type - function of mixed variables - function of normal type - function of number theory - function of one variable - function of rapid descent - function of rapid growth - function of real variable - general universal function - geometric carrier function - implicitly definable function - incomplete dibeta function - incomplete gamma function - incomplete tribeta function - incompletely defined function - inductively defined function - inductively integrable function - infinitely divisible function - infinitely many-valued function - integral logarithmic function - inverse trigonometric function - inverted beta function - iterative function - joint correlation function - joint density function - linearly separable function - locally bounded function - locally constant function - locally holomorphic function - locally homogeneous function - locally integrable function - locally negligible function - locally regular function - locally summable function - logarithmic generating function - logarithmic integral function - logarithmically infinite function - logarithmically plurisubharmonic function - logarithmically subharmonic function - lower semicontinuous function - monotone non-decreasing function - monotone non-increasing function - multiply periodic function - multiply recursive function - negative definite function - negative infinite function - nontangentially bounded function - normalized function - normed function - nowhere continuous function - nowhere differentiable function - nowhere monotonic function - n-times differentiable function - n-tuply periodic function - numeralwise expressible function - numeralwise representable function - numerical function - numerically valued function - oblate spheroidal function - operating characteristic function - optimal policy function - parametrically definable function - partially symmetric function - piecewise constant function - piecewise continuously differentiable function - piecewise linear function - piecewise monotonic function - piecewise polynomial function - piecewise quadratic function - piecewise regular function - piecewise smooth function - pointwise approximated function - positive homogeneous function - positive infinite function - positive monotone function - positive monotonic function - positive semidefinite function - potentially calculable function - potentially recursive function - power series function - probability generating function - quadratically summable function - rapidly damped function - rapidly decreasing function - rapidly oscillatory function - recursively continuous function - recursively convergent function - recursively defined function - recursively differentiable function - recursively divergent function - recursively extensible function - relative distribution function - relative frequency function - representing function - reproducing kernel function - residual function - residue function - scalarwise integrable function - scalarwise measurable function - sectionally smooth function - simply periodic function - singly recursive function - slowly increasing function - slowly oscillating function - slowly varying function - smoothly varying function - solid spherical harmonic function - solid zonal harmonic function - steadily increasing function - stopped random function - strictly convex function - strictly decreasing function - strictly increasing function - strictly integrable function - strictly monotone function - strongly differentiable function - strongly holomorphic function - strongly integrable function - strongly measurable function - strongly plurisubharmonic function - totally additive function - totally continuous function - totally measurable function - totally multiplicative function - totally positive function - triangular function - uniformly best decision function - uniformly bounded function - uniformly definable function - uniformly differentiable function - uniformly homotopic function - uniformly integrable function - uniformly limited function - uniformly measurable function - uniformly smooth function - unit step function - unitary divisor function - upper measurable function - upper semicontinuous function - weakly analytic function - weakly continuous function - weakly differentiable function - weakly holomorphic function - weakly measurable function - weakly singular function - weighted random functiondomain of a function — область определения функции, область изменения независимой переменной
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18 Language
Philosophy is written in that great book, the universe, which is always open, right before our eyes. But one cannot understand this book without first learning to understand the language and to know the characters in which it is written. It is written in the language of mathematics, and the characters are triangles, circles, and other figures. Without these, one cannot understand a single word of it, and just wanders in a dark labyrinth. (Galileo, 1990, p. 232)It never happens that it [a nonhuman animal] arranges its speech in various ways in order to reply appropriately to everything that may be said in its presence, as even the lowest type of man can do. (Descartes, 1970a, p. 116)It is a very remarkable fact that there are none so depraved and stupid, without even excepting idiots, that they cannot arrange different words together, forming of them a statement by which they make known their thoughts; while, on the other hand, there is no other animal, however perfect and fortunately circumstanced it may be, which can do the same. (Descartes, 1967, p. 116)Human beings do not live in the object world alone, nor alone in the world of social activity as ordinarily understood, but are very much at the mercy of the particular language which has become the medium of expression for their society. It is quite an illusion to imagine that one adjusts to reality essentially without the use of language and that language is merely an incidental means of solving specific problems of communication or reflection. The fact of the matter is that the "real world" is to a large extent unconsciously built on the language habits of the group.... We see and hear and otherwise experience very largely as we do because the language habits of our community predispose certain choices of interpretation. (Sapir, 1921, p. 75)It powerfully conditions all our thinking about social problems and processes.... No two languages are ever sufficiently similar to be considered as representing the same social reality. The worlds in which different societies live are distinct worlds, not merely the same worlds with different labels attached. (Sapir, 1985, p. 162)[A list of language games, not meant to be exhaustive:]Giving orders, and obeying them- Describing the appearance of an object, or giving its measurements- Constructing an object from a description (a drawing)Reporting an eventSpeculating about an eventForming and testing a hypothesisPresenting the results of an experiment in tables and diagramsMaking up a story; and reading itPlay actingSinging catchesGuessing riddlesMaking a joke; and telling itSolving a problem in practical arithmeticTranslating from one language into anotherLANGUAGE Asking, thanking, cursing, greeting, and praying-. (Wittgenstein, 1953, Pt. I, No. 23, pp. 11 e-12 e)We dissect nature along lines laid down by our native languages.... The world is presented in a kaleidoscopic flux of impressions which has to be organized by our minds-and this means largely by the linguistic systems in our minds.... No individual is free to describe nature with absolute impartiality but is constrained to certain modes of interpretation even while he thinks himself most free. (Whorf, 1956, pp. 153, 213-214)We dissect nature along the lines laid down by our native languages.The categories and types that we isolate from the world of phenomena we do not find there because they stare every observer in the face; on the contrary, the world is presented in a kaleidoscopic flux of impressions which has to be organized by our minds-and this means largely by the linguistic systems in our minds.... We are thus introduced to a new principle of relativity, which holds that all observers are not led by the same physical evidence to the same picture of the universe, unless their linguistic backgrounds are similar or can in some way be calibrated. (Whorf, 1956, pp. 213-214)9) The Forms of a Person's Thoughts Are Controlled by Unperceived Patterns of His Own LanguageThe forms of a person's thoughts are controlled by inexorable laws of pattern of which he is unconscious. These patterns are the unperceived intricate systematizations of his own language-shown readily enough by a candid comparison and contrast with other languages, especially those of a different linguistic family. (Whorf, 1956, p. 252)It has come to be commonly held that many utterances which look like statements are either not intended at all, or only intended in part, to record or impart straightforward information about the facts.... Many traditional philosophical perplexities have arisen through a mistake-the mistake of taking as straightforward statements of fact utterances which are either (in interesting non-grammatical ways) nonsensical or else intended as something quite different. (Austin, 1962, pp. 2-3)In general, one might define a complex of semantic components connected by logical constants as a concept. The dictionary of a language is then a system of concepts in which a phonological form and certain syntactic and morphological characteristics are assigned to each concept. This system of concepts is structured by several types of relations. It is supplemented, furthermore, by redundancy or implicational rules..., representing general properties of the whole system of concepts.... At least a relevant part of these general rules is not bound to particular languages, but represents presumably universal structures of natural languages. They are not learned, but are rather a part of the human ability to acquire an arbitrary natural language. (Bierwisch, 1970, pp. 171-172)In studying the evolution of mind, we cannot guess to what extent there are physically possible alternatives to, say, transformational generative grammar, for an organism meeting certain other physical conditions characteristic of humans. Conceivably, there are none-or very few-in which case talk about evolution of the language capacity is beside the point. (Chomsky, 1972, p. 98)[It is] truth value rather than syntactic well-formedness that chiefly governs explicit verbal reinforcement by parents-which renders mildly paradoxical the fact that the usual product of such a training schedule is an adult whose speech is highly grammatical but not notably truthful. (R. O. Brown, 1973, p. 330)he conceptual base is responsible for formally representing the concepts underlying an utterance.... A given word in a language may or may not have one or more concepts underlying it.... On the sentential level, the utterances of a given language are encoded within a syntactic structure of that language. The basic construction of the sentential level is the sentence.The next highest level... is the conceptual level. We call the basic construction of this level the conceptualization. A conceptualization consists of concepts and certain relations among those concepts. We can consider that both levels exist at the same point in time and that for any unit on one level, some corresponding realizate exists on the other level. This realizate may be null or extremely complex.... Conceptualizations may relate to other conceptualizations by nesting or other specified relationships. (Schank, 1973, pp. 191-192)The mathematics of multi-dimensional interactive spaces and lattices, the projection of "computer behavior" on to possible models of cerebral functions, the theoretical and mechanical investigation of artificial intelligence, are producing a stream of sophisticated, often suggestive ideas.But it is, I believe, fair to say that nothing put forward until now in either theoretic design or mechanical mimicry comes even remotely in reach of the most rudimentary linguistic realities. (Steiner, 1975, p. 284)The step from the simple tool to the master tool, a tool to make tools (what we would now call a machine tool), seems to me indeed to parallel the final step to human language, which I call reconstitution. It expresses in a practical and social context the same understanding of hierarchy, and shows the same analysis by function as a basis for synthesis. (Bronowski, 1977, pp. 127-128)t is the language donn eґ in which we conduct our lives.... We have no other. And the danger is that formal linguistic models, in their loosely argued analogy with the axiomatic structure of the mathematical sciences, may block perception.... It is quite conceivable that, in language, continuous induction from simple, elemental units to more complex, realistic forms is not justified. The extent and formal "undecidability" of context-and every linguistic particle above the level of the phoneme is context-bound-may make it impossible, except in the most abstract, meta-linguistic sense, to pass from "pro-verbs," "kernals," or "deep deep structures" to actual speech. (Steiner, 1975, pp. 111-113)A higher-level formal language is an abstract machine. (Weizenbaum, 1976, p. 113)Jakobson sees metaphor and metonymy as the characteristic modes of binarily opposed polarities which between them underpin the two-fold process of selection and combination by which linguistic signs are formed.... Thus messages are constructed, as Saussure said, by a combination of a "horizontal" movement, which combines words together, and a "vertical" movement, which selects the particular words from the available inventory or "inner storehouse" of the language. The combinative (or syntagmatic) process manifests itself in contiguity (one word being placed next to another) and its mode is metonymic. The selective (or associative) process manifests itself in similarity (one word or concept being "like" another) and its mode is metaphoric. The "opposition" of metaphor and metonymy therefore may be said to represent in effect the essence of the total opposition between the synchronic mode of language (its immediate, coexistent, "vertical" relationships) and its diachronic mode (its sequential, successive, lineal progressive relationships). (Hawkes, 1977, pp. 77-78)It is striking that the layered structure that man has given to language constantly reappears in his analyses of nature. (Bronowski, 1977, p. 121)First, [an ideal intertheoretic reduction] provides us with a set of rules"correspondence rules" or "bridge laws," as the standard vernacular has it-which effect a mapping of the terms of the old theory (T o) onto a subset of the expressions of the new or reducing theory (T n). These rules guide the application of those selected expressions of T n in the following way: we are free to make singular applications of their correspondencerule doppelgangers in T o....Second, and equally important, a successful reduction ideally has the outcome that, under the term mapping effected by the correspondence rules, the central principles of T o (those of semantic and systematic importance) are mapped onto general sentences of T n that are theorems of Tn. (P. Churchland, 1979, p. 81)If non-linguistic factors must be included in grammar: beliefs, attitudes, etc. [this would] amount to a rejection of the initial idealization of language as an object of study. A priori such a move cannot be ruled out, but it must be empirically motivated. If it proves to be correct, I would conclude that language is a chaos that is not worth studying.... Note that the question is not whether beliefs or attitudes, and so on, play a role in linguistic behavior and linguistic judgments... [but rather] whether distinct cognitive structures can be identified, which interact in the real use of language and linguistic judgments, the grammatical system being one of these. (Chomsky, 1979, pp. 140, 152-153)23) Language Is Inevitably Influenced by Specific Contexts of Human InteractionLanguage cannot be studied in isolation from the investigation of "rationality." It cannot afford to neglect our everyday assumptions concerning the total behavior of a reasonable person.... An integrational linguistics must recognize that human beings inhabit a communicational space which is not neatly compartmentalized into language and nonlanguage.... It renounces in advance the possibility of setting up systems of forms and meanings which will "account for" a central core of linguistic behavior irrespective of the situation and communicational purposes involved. (Harris, 1981, p. 165)By innate [linguistic knowledge], Chomsky simply means "genetically programmed." He does not literally think that children are born with language in their heads ready to be spoken. He merely claims that a "blueprint is there, which is brought into use when the child reaches a certain point in her general development. With the help of this blueprint, she analyzes the language she hears around her more readily than she would if she were totally unprepared for the strange gabbling sounds which emerge from human mouths. (Aitchison, 1987, p. 31)Looking at ourselves from the computer viewpoint, we cannot avoid seeing that natural language is our most important "programming language." This means that a vast portion of our knowledge and activity is, for us, best communicated and understood in our natural language.... One could say that natural language was our first great original artifact and, since, as we increasingly realize, languages are machines, so natural language, with our brains to run it, was our primal invention of the universal computer. One could say this except for the sneaking suspicion that language isn't something we invented but something we became, not something we constructed but something in which we created, and recreated, ourselves. (Leiber, 1991, p. 8)Historical dictionary of quotations in cognitive science > Language
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