characteristic root

Russian\ \ характеристический корень; собственное значение; собственное значение (вектор)

See: characteristic root

characteristic root

• characteristic root

characteristic root

• characteristic number of matrix

• characteristic root

• characteristic value

• eigenvalue

• proper value

n. eigenvalue, characteristic root, proper value, latent root (Mathematics)

See: characteristic root

1) Engineering: characteristic value, eigen value

2) Mathematics: characteristic constant, characteristic value (There exists a set of eigenvalues and eigenfunctions, which are normalized with the weight P (x, y).), eigenvalue, fundamental number, latent root, proper value, secular value

3) Makarov: latent root (матрицы)

4) General subject: eigen-value

1 to extract.

Ricardo extrajo la espina de su dedo Richard extracted the thorn from his finger

2 to quarry for, to mine, to mine for, to quarry out.

Ricardo extrajo oro de la mina Richard quarried for gold in the mine.

* * *

Conjugation model [ TRAER], like link=traer traer

► verbo transitivo

1 (gen) to extract

2 (muelas) to extract, take out

■ le han extraído las muelas del juicio he's had his wisdom teeth taken out

3 (conclusión) to draw

* * *

* * *

1) [+ diente, bala, astilla] to extract

2) (Min) [+ minerales] to mine, extract; [+ petróleo] to extract; [+ pizarra, mármol] to quarry

3) [+ conclusiones] to draw

4) [en sorteo] to draw

5) (Mat) to extract

* * *

verbo transitivo

1)

a) < muela> to extract, pull out; < bala> to remove; < sangre> to take, extract

b) < mineral> to extract, mine; <petróleo/resina> to extract

c) <humo/aire> to extract

d) <información/cita> to extract

e) ( en lotería) to draw

2) (Mat) to extract

3) < conclusión> to draw

* * *

= cull, derive, dig out, draw from, extract, draw, mine, distil, excerpt, pull off.

Ex. The contents of an extract will often be culled from the results, conclusions or recommendations, i.e. the concluding segments, of the document.

Ex. The scheme was designed for the Library of Congress and many of the features of the scheme derived from this fact.

Ex. I would also have dug out information references to which readers can be directed who want to know more about the setting.

Ex. These headings may be drawn from an alphabetical list of subject headings or from a classification scheme.

Ex. The keywords are extracted from the titles and displayed as a heading.

Ex. The 'Root Thesaurus' presents other refinements which permit the part of the hierarchy from which a term is drawn to be specified.

Ex. For instance, if children are doing a project work on dogs, they will hunt out anything and everything that so much as mentions them and the bits thus mined are assiduously transcribed into project folders.

Ex. From studying the seven libraries, the report was able to distil the following characteristic features of a community information service.

Ex. This article was excerpted from 'The Internet for everyone: a guide for users and providers,' McGraw-Hill, 1994.

Ex. The ionisation in the air pulls off massive, if random charges so the speed of lightning is actually less than that of the speed of light.

----

* extraer conclusiones = derive + conclusions.

* extraer con palanca = pry + Nombre + out, prise + Nombre + out.

* extraer de = extract from, wretch from, take from.

* extraer + Nombre + de = wring + Nombre + out of/from, extricate + Nombre + from.

* extraer pasajes de = excerpt.

* extraer una conclusión = draw + conclusion.

* extraer una idea = draw + idea.

* * *

verbo transitivo

1)

a) < muela> to extract, pull out; < bala> to remove; < sangre> to take, extract

b) < mineral> to extract, mine; <petróleo/resina> to extract

c) <humo/aire> to extract

d) <información/cita> to extract

e) ( en lotería) to draw

2) (Mat) to extract

3) < conclusión> to draw

* * *

* * *

extraer [ E23 ]

1 ‹muela› to extract, pull out; ‹bala› to remove, extract; ‹sangre› to take, extract

2 ‹mineral› to extract, mine; ‹petróleo/resina› to extract

3 ‹humo/aire› to extract

4 ‹información/cita› to extract

5 (en una lotería) to draw

B ( Mat) to extract

C ‹conclusión› to draw

de este libro se extrae una lección there is a lesson to be learnt o drawn from this book

* * *

* * *

extraer vt

1. [sacar] [astilla, bala] to extract, to take out (de from); [diente, sangre, humo] to extract (de from);

2. [obtener] [datos, cita] to extract (de from); [conclusiones] to draw (de from);

¿qué enseñanza podemos extraer de todo esto? what lesson can we learn from all this?

3. [carbón, mineral] to mine (de from); [petróleo] to extract (de from)

4. Mat to extract

* * *

1 extract, pull out

2 conclusión draw

* * *

extraer {81} vt

: to extract

* * *

extraer vb

1. (muela) to extract / to pull out

2. (producto) to extract

* * *

1. ( размер величины) value, magnitude

вычисля́ть значе́ние — compute [calculate] a value

задава́ть значе́ние — pre-assign [preset, prescribe, predetermine, specify] a value

нормирова́ть значе́ние — normalize a value

ожида́ть значе́ние — expect a value

определя́ть [оце́нивать] значе́ние — estimate a value

принима́ть значе́ние

1. (в расчётах, проектах) adopt [specify] a value

2. (о какой-л. величине) take (on) [assume] a value

уточня́ть значе́ние — ( определять окончательное значение) finalize a value; ( проверять) verify a value

2. ( важность) significance

3. (смысл, содержание) meaning, sense

абсолю́тное значе́ние — absolute value, magnitude

амплиту́дное значе́ние — peak [crest] value

асимптоти́ческое значе́ние — asymptotic value

бифуркацио́нное значе́ние — bifurcational value

виртуа́льное значе́ние — virtual value

гла́вное значе́ние — principal value

грани́чное значе́ние — boundary value

двоя́кое значе́ние — bifurcational value

действи́тельное значе́ние — actual [real] value

де́йствующее значе́ние — effective [root-mean-square, rms] value

допусти́мое значе́ние — legitimate [admissible, allowed, allowable] value

еди́нственное значе́ние — unique value

запрещё́нное значе́ние — forbidden [unpermitted] value

и́стинное значе́ние — стат., мат. ideal value; ( в логике) truth value

значе́ние и́стинности — truth value

коне́чное значе́ние — finite value

максима́льное значе́ние

1. maximum value

2. эл. peak value

мгнове́нное значе́ние — instantaneous value

нача́льное значе́ние — initial value

ненулево́е значе́ние — non-zero value

нулево́е значе́ние — zero value

оконча́тельное значе́ние — final value

предвари́тельное значе́ние — tentative value

преде́льное значе́ние — limiting value

произво́льное значе́ние — arbitrary value

равнове́сное значе́ние — equilibrium value

разрешё́нное значе́ние — allowed [permitted] value

разря́дное значе́ние — place value

со́бственное значе́ние — characteristic [proper] value, eigenvalue; ( матрицы) latent root

средневзве́шенное значе́ние — weighted mean value

сре́днее значе́ние — mean, mean [average] value

сре́днее значе́ние по всем состоя́ниям — value averaged over all states

сре́днее арифмети́ческое значе́ние — arithmetical average, arithmetical mean

сре́днее геометри́ческое значе́ние — geometrical mean

среднеквадрати́чное значе́ние — root-mean-square [effective, rms] value

стациона́рное значе́ние — steady-state [stationary] value

установи́вшееся значе́ние — steady-state [stationary] value

уточнё́нное значе́ние ( в методе последовательных приближений) — improved value

характе́рное значе́ние — representative value

целочи́сленное значе́ние — integral value

ча́стное значе́ние — particular [special] value

чи́сленное значе́ние — numerical value

находи́ть чи́сленное значе́ние алгебраи́ческого выраже́ния — evaluate an (algebraic) expression

значе́ние шкалы́, коне́чное — full scare value

эффекти́вное значе́ние — effective [root-mean-square, rms] value

prō̆prĭus, a, um, adj. [etym. dub.; perhaps from root prae; cf. prope], not common with others, one's own, special, particular, proper (class.; cf.: peculiaris, privatus).

In gen., opp. communis: nam virtutem propriam mortalibus fecit: cetera promiscue voluit communia habere, Varr. ap. Non. 361, 25:

proprium et peculiare,

Plin. 7, 25, 26, § 93:

tria praedia Capitoni propria traduntur,

to him for his own, Cic. Rosc. Am. 8, 21:

proprio sumptu edere ludos,

Tac. A. 1, 15:

propriā pecuniā militem juvare,

id. ib. 1, 71:

basilicam propriā pecuniā firmare,

id. ib. 3, 72 init.; id. H. 2, 84:

propria impensa,

Just. 12, 11, 1:

propriis viribus,

Liv. 2, 53:

familia,

id. 7, 9:

libri, Hor S. 1, 10, 64: horreum,

id. C. 1, 1, 9:

proprio Marte,

by his own bravery, Ov. P. 4, 7, 14.—With pron. poss. (class. and freq.):

ut cum ademerit nobis omnia, quae nostra erant propria, ne lucem quoque hanc, quae communis est, eripere cupiat,

all that belonged peculiarly to us, Cic. Rosc. Am. 52, 150:

suā quādam propriā, non communi oratorum facultate,

id. de Or. 1, 10, 44: ut redeas ad consuetudinem vel nostram communem vel tuam solius et propriam, Luc. ap. Cic. Fam. 5, 14, 3:

omnia qui jubet esse communia, ne quis civis propriam aut suam rem ullam queat dicere,

Cic. Rep 4, 5, 5; id. ap. Non. p. 362:

suis propriis periculis parere commune reliquis otium,

id. Rep. 1, 4, 7:

quod (periculum) autem meum erat proprium,

id. Fam. 2, 17, 7; id. Sest. 7, 15;

calamitatem aut propriam suam aut temporum queri,

Caes. B. C. 3, 20.—

Opp. alienus, etc., one's own, peculiar, special, characteristic, personal:

tempus agendi fuit mihi magis proprium quam ceteris,

Cic. Sull. 3, 9:

reliquae partes quales propriae sunt hominis,

id. Fin. 5, 12, 35:

id non proprium senectutis est vitium, sed commune valetudinis,

id. Sen. 11, 35:

libertatem propriam Romani generis,

id. Phil. 3, 11, 29:

proprium id Tiberio fuit,

Tac. A. 4, 19:

ira,

personal resentment, id. ib. 2, 55.—As subst.: prō̆prĭum, i, n.

Lit., a possession, property:

id est cujusque proprium, quo quisque fruitur atque utitur,

Cic. Fam. 7, 30, 2:

vivere de proprio,

Mart. 12, 78, 2.—

Trop., a characteristic mark, a sign, characteristic, etc., Cic. Off. 1, 1, 2; 2, 5, 17; Caes. B. G. 6, 23.—

In partic., peculiar, extraordinary: nisi mihi fortuna proprium consilium extorsisset, Sent. ap. Cic. Fam. 10, 35, 1:

superbo decreto addidit propriam ignominiam,

Liv. 35, 33.—

Lasting, constant, permanent, perpetual (class.):

illum amatorem tibi proprium futurum in vitā,

Plaut. Most. 1, 3, 67; Att. ap. Non. 362, 5:

nihil in vitā proprium mortali datum esse,

Lucil. ib. 362, 15:

alicui proprium atque perpetuum,

Cic. Imp. Pomp. 16, 48:

perenne ac proprium manere,

id. Red. in Sen. 4, 9:

parva munera diutina, locupletia non propria esse consueverunt,

Nep. Thras. 4, 2; Hor. S. 2, 6, 5; cf. id. Ep. 2, 2, 172:

deferens uni propriam laurum,

id. C. 2, 2, 22; Verg. A. 6, 871:

victoriam propriam se eis daturam,

lasting, Hirt. B. Afr. 32.— Comp., Ov. M. 12, 284; id. P. 1, 2, 152; Liv. 4, 27, 3. —Hence, adv.: proprĭē.

Specially, peculiarly, properly, strictly for one's self (opp. communiter;

class.): quod me amas, est tibi commune cum multis: quod tu ipse tam amandus es, id est proprie tuum,

Cic. Fam. 9, 15, 1:

promiscue toto (Campo Martio), quam proprie parvā parte frui malletis,

for yourselves, individually, separately, id. Agr. 2, 31, 85.—

In partic.

Particularly, in particular:

neque publice neque proprie,

Cic. Sest. 16, 37.—

Especially, eminently, exclusively:

mira sermonis, cujus proprie studiosus fuit, elegantia,

Quint. 10, 1, 114; cf. Vell. 2, 9, 2.—

Properly, accurately, strictly speaking, in the proper (not tropical) sense:

magis proprie nihil possum dicere,

Cic. Phil. 2, 31, 77:

illud quidem honestum, quod proprie vereque dicitur,

id. Off. 3, 3, 13; Liv. 34, 32; 44, 22:

uti verbo proprie,

Gell. 9, 1, 8; 2, 6, 5; 7, 11, 2; 16, 5, 1.

prō̆prĭus, a, um, adj. [etym. dub.; perhaps from root prae; cf. prope], not common with others, one's own, special, particular, proper (class.; cf.: peculiaris, privatus).

In gen., opp. communis: nam virtutem propriam mortalibus fecit: cetera promiscue voluit communia habere, Varr. ap. Non. 361, 25:

proprium et peculiare,

Plin. 7, 25, 26, § 93:

tria praedia Capitoni propria traduntur,

to him for his own, Cic. Rosc. Am. 8, 21:

proprio sumptu edere ludos,

Tac. A. 1, 15:

propriā pecuniā militem juvare,

id. ib. 1, 71:

basilicam propriā pecuniā firmare,

id. ib. 3, 72 init.; id. H. 2, 84:

propria impensa,

Just. 12, 11, 1:

propriis viribus,

Liv. 2, 53:

familia,

id. 7, 9:

libri, Hor S. 1, 10, 64: horreum,

id. C. 1, 1, 9:

proprio Marte,

by his own bravery, Ov. P. 4, 7, 14.—With pron. poss. (class. and freq.):

ut cum ademerit nobis omnia, quae nostra erant propria, ne lucem quoque hanc, quae communis est, eripere cupiat,

all that belonged peculiarly to us, Cic. Rosc. Am. 52, 150:

suā quādam propriā, non communi oratorum facultate,

id. de Or. 1, 10, 44: ut redeas ad consuetudinem vel nostram communem vel tuam solius et propriam, Luc. ap. Cic. Fam. 5, 14, 3:

omnia qui jubet esse communia, ne quis civis propriam aut suam rem ullam queat dicere,

Cic. Rep 4, 5, 5; id. ap. Non. p. 362:

suis propriis periculis parere commune reliquis otium,

id. Rep. 1, 4, 7:

quod (periculum) autem meum erat proprium,

id. Fam. 2, 17, 7; id. Sest. 7, 15;

calamitatem aut propriam suam aut temporum queri,

Caes. B. C. 3, 20.—

Opp. alienus, etc., one's own, peculiar, special, characteristic, personal:

tempus agendi fuit mihi magis proprium quam ceteris,

Cic. Sull. 3, 9:

reliquae partes quales propriae sunt hominis,

id. Fin. 5, 12, 35:

id non proprium senectutis est vitium, sed commune valetudinis,

id. Sen. 11, 35:

libertatem propriam Romani generis,

id. Phil. 3, 11, 29:

proprium id Tiberio fuit,

Tac. A. 4, 19:

ira,

personal resentment, id. ib. 2, 55.—As subst.: prō̆prĭum, i, n.

Lit., a possession, property:

id est cujusque proprium, quo quisque fruitur atque utitur,

Cic. Fam. 7, 30, 2:

vivere de proprio,

Mart. 12, 78, 2.—

Trop., a characteristic mark, a sign, characteristic, etc., Cic. Off. 1, 1, 2; 2, 5, 17; Caes. B. G. 6, 23.—

In partic., peculiar, extraordinary: nisi mihi fortuna proprium consilium extorsisset, Sent. ap. Cic. Fam. 10, 35, 1:

superbo decreto addidit propriam ignominiam,

Liv. 35, 33.—

Lasting, constant, permanent, perpetual (class.):

illum amatorem tibi proprium futurum in vitā,

Plaut. Most. 1, 3, 67; Att. ap. Non. 362, 5:

nihil in vitā proprium mortali datum esse,

Lucil. ib. 362, 15:

alicui proprium atque perpetuum,

Cic. Imp. Pomp. 16, 48:

perenne ac proprium manere,

id. Red. in Sen. 4, 9:

parva munera diutina, locupletia non propria esse consueverunt,

Nep. Thras. 4, 2; Hor. S. 2, 6, 5; cf. id. Ep. 2, 2, 172:

deferens uni propriam laurum,

id. C. 2, 2, 22; Verg. A. 6, 871:

victoriam propriam se eis daturam,

lasting, Hirt. B. Afr. 32.— Comp., Ov. M. 12, 284; id. P. 1, 2, 152; Liv. 4, 27, 3. —Hence, adv.: proprĭē.

Specially, peculiarly, properly, strictly for one's self (opp. communiter;

class.): quod me amas, est tibi commune cum multis: quod tu ipse tam amandus es, id est proprie tuum,

Cic. Fam. 9, 15, 1:

promiscue toto (Campo Martio), quam proprie parvā parte frui malletis,

for yourselves, individually, separately, id. Agr. 2, 31, 85.—

In partic.

Particularly, in particular:

neque publice neque proprie,

Cic. Sest. 16, 37.—

Especially, eminently, exclusively:

mira sermonis, cujus proprie studiosus fuit, elegantia,

Quint. 10, 1, 114; cf. Vell. 2, 9, 2.—

Properly, accurately, strictly speaking, in the proper (not tropical) sense:

magis proprie nihil possum dicere,

Cic. Phil. 2, 31, 77:

illud quidem honestum, quod proprie vereque dicitur,

id. Off. 3, 3, 13; Liv. 34, 32; 44, 22:

uti verbo proprie,

Gell. 9, 1, 8; 2, 6, 5; 7, 11, 2; 16, 5, 1.

* * *

(kaupi, keypta, kayptr), v.

1) to buy (keypti Njáll land í Ossabœ);

absol. to make a bargain;

kaupa kaupi, to bargain;

2) to make an agreement about (þeir keyptu þessu);

3) with preps.:

kaupa e-n á braut, to buy one of;

kaupa e-t at e-m, to buy a thing of one;

kaupa saman, to bargain;

kaupa um e-t, to barter, exchange (keypti hann um lönd við Guðrúnu);

kaupa við e-n, to make a bargain, come to terms with one;

recipr., kaupast við, to bargain with one another.

* * *

kaupir, pret. keypti, part. keypt; [Ulf. kaupatjan = κολαφίζειν and kaupon = πραγματεύεσθαι, Luke xix. 13; A. S. ceâpian; Old Engl. chop; North. E. coup; cp. Engl. cheapen, chaffer, couper, chap-man, etc. (see angr); Germ. kaufen; Dutch koopen; Swed. köpa; Dan. kjöbe; a word common to all Teut. languages. The derivation from Lat. caupona is hardly admissible, whereas Grimm’s ingenious suggestion (Dict. iii. 198) connecting it with Goth. kaupatjan, which Ulf. uses = to strike in the face, is strongly borne out by the very form of the Icel. word;—since, first, this word, although having au as its root vowel, follows the 2nd and not the 1st weak conjugation; secondly, the vowel changes in preterite and participle, which is characteristic of a verb with an inflexive or characteristic j; thirdly, the t in the preterite (so far as is known) is never spelt with ð or þ,—keypti, not keypði or keypþi (see introduction to letter D, C. III. 2),—which indicates that the t is here radical and not inflexive. The Icel. word therefore represents in its tenses both the Gothic words,—kaupan in the present tense, kaupatjan in the preterite: the bargain was symbolized by ‘striking,’ hence the phrase ‘to strike’ a bargain, Dutch koopslagen.]

B. To buy; magran mar kaupa, Hm. 83; kaupa frið, Skm. 19; opt kaupir sér í litlu lof, Hm. 51; vel-keyptr, 107; allan þann varning er þú kaupir ok selr, Sks. 20; hann keypti skip til ferðar, Mar. passim; keypti Njáll land í Ossabæ, Nj. 151, Grág. ii. 243; Vill Rútr görask mágr þinn ok kaupa dóttur þína, Nj. 3:—the bargain or price in dat., skal öln (dat.) kaupa geymslu á kú, Grág. i. 147, 466; kaupa land verði, ii. 243; k. sex álnum, i. 466; kaupa mey (konu) mundi, þá er kona mundi keypt, er mörk sex álna aura er goldin at mundi eðr handsöluð, eðr meira fé ella, 175; gulli keypta léztú Gýmis dóttur, Ls. 42.

2. absol. to make a bargain; þótt vér kaupim eigi, Nj. 49: kaupa kaupi, to bargain; eigi kemr mér þat í hug at Snorri kaupi sínu kaupi betr þótt hann gefi þér mat, Eb. 182; k. dýrt, to buy dearly, metaph., Parc., Str. 50.

II. with prepp.; kaupa saman, to bargain, Hkv. Hjörv. 3; kaupa á braut, to buy one off; þess væntir mik, at þú sér vel þessu á braut kaupandi, well worth being bought off at this price, Fms. xi. 56:—k. við e-n, to make a bargain, come to terms with one, Nj. 40, Fb. ii. 75:—k. um, to barter, exchange; keypti hann um lönd við Guðrúnu Ósvífrs-dóttur, Eb. 282; kaupa klæðum (klæði um?) við e-n, to exchange clothes with one, Fms. ii. 156; mælt var at þau mundi kaupa um lönd, Snorri ok Guðrún, Ld. 248; drottning keypti um sonu við ambátt, Fas. ii. 59:—k. e-t at e-m, to buy of one; hann keypti at Þorgeiri, Íb. 11 (cꜹpti MS.); þat er mitt eyrendi at k. at þér kvikfé, Fms. vi. 103, Ld. 96, Fb. ii. 75.

III. reflex., rétt er at maðr láti kaupask verk at, hire oneself out, Grág. i. 468: svá mikit sem mér kaupisk í, as much as I gain by it, Band. 31 new Ed.; ef ek vissa, at þat keyptisk í, at …, that it would be gained by it, Fms. v. 138; mikit kaupisk nú í, much is gained, vii. 116; slíkt sem mér kaupisk í, xi. 285.

2. recipr., þar sem menn kaupask saman at lögum, to bargain with one another, Gþl. 477; á þat urðu vit sáttir er vit keyptumk við, Fb. ii. 78; þegar er ér kaupisk við, Eb. 112; öðrumtveggja þeim er við hafa keypzk, Grág. i. 227: the phrase, komask at keyptu, to pay dearly for, smart for it, Eg. 64, Háv. 46, Karl. 401.

3. pass., ekki munu frændr Grettis ausa út fé fyrir verk hans ef honum kaupisk enginn friðr, Grett. 126 A; sem í þessi ferð muni mér þá engi frami kaupask, St. Odd. 10.