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1 finite correspondence
Большой англо-русский и русско-английский словарь > finite correspondence
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2 finite correspondence
Математика: конечное соответствие -
3 finite correspondence
English-Russian scientific dictionary > finite correspondence
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4 correspondence
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5 конечное соответствие
Русско-английский научно-технический словарь Масловского > конечное соответствие
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6 конечное соответствие
Mathematics: finite correspondenceУниверсальный русско-английский словарь > конечное соответствие
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7 principle
1) правило; принцип2) закон3) начало, первооснова, (перво)источник•- distributed maximum principle - least number principle - principle of adiabatic invariance - principle of contraction mapping - principle of extension of inequalities - principle of fixed point - principle of harmonic balance - principle of harmonic measure - principle of hyperbolic measure - principle of least squares - principle of length and area - principle of mathematical induction - principle of maximum likelihood - principle of point estimation - principle of stationary phase - principle of stochastic balance - principle of transfinite induction - principle of unsufficient reason - virtual work principle - weak likelihood principle -
8 rule
1) правило, норма; норматив || устанавливать правила или нормы2) строит. прав'ило3) линейка || линовать, разлиновывать4) правление || управлять, руководить, командовать5) мат. закон6) графить, разграфлять•set closed under rule — множество, замкнутое относительно операции
- blind man's ruleto lay down the rule — формулировать [устанавливать] правило
- box rule- cut rule- em rule- slow-in- sum rule- three sigma rule -
9 приводить в однозначное соответствие с
•The elements of any finite set obviously cannot be put (or set) into one-to-one correspondence (or matched one to one) with its subsets because...
Русско-английский научно-технический словарь переводчика > приводить в однозначное соответствие с
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10 grammar
вчт1) грамматика•- ATN grammar
- attribute grammar
- augmented transition grammar
- bounded-context grammar
- categorical grammar
- Chomsky grammar
- constituent grammar
- context-free grammar
- context-sensitive grammar
- correspondence grammar
- dependency grammar
- double-level grammar
- finite-state grammar
- formalized grammar
- functional grammar
- fuzzy grammar
- generative grammar
- immediate constituent grammar
- left-recursive grammar
- normative grammar
- parenthesis grammar
- phrase-structure grammar
- polynomial grammar
- precedence grammar
- regular grammar
- semantic grammar
- surface grammar
- transformational grammar
- tree grammar
- universal grammar
- van Wijngaarden grammar
- VW-grammar -
11 grammar
вчт.1) грамматика•- ATN grammar
- attribute grammar
- augmented transition network grammar
- bounded-context grammar
- categorical grammar
- Chomsky grammar
- constituent grammar
- context-free grammar
- context-sensitive grammar
- correspondence grammar
- dependency grammar
- double-level grammar
- finite-state grammar
- formalized grammar
- functional grammar
- fuzzy grammar
- generative grammar
- immediate constituent grammar
- left-recursive grammar
- normative grammar
- parenthesis grammar
- phrase-structure grammar
- polynomial grammar
- precedence grammar
- regular grammar
- semantic grammar
- surface grammar
- transformational grammar
- tree grammar
- universal grammar
- van Wijngaarden grammar
- VW-grammarThe New English-Russian Dictionary of Radio-electronics > grammar
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12 grammar
- ATN grammar
- attribute grammar
- augmented grammar
- bounded context grammar
- categorial grammar
- constituent grammar
- context-free grammar
- context-sensitive grammar
- correspondence grammar
- cycle-free grammar
- dominance grammar
- extended precedence grammar
- finite state grammar
- formal grammar
- fuzzy grammar
- generalized grammar
- generative grammar
- left linear grammar
- left parsable grammar
- left recursive grammar
- linear grammar
- list grammar
- matrix grammar
- mixed-strategy precedence grammar
- operational grammar
- operator grammar
- operator precedence grammar
- performance grammar
- phrase structure grammar
- precedence grammar
- proper grammar
- recognizing grammar
- recursive grammar
- right linear grammar
- right parsable grammar
- right recursive grammar
- simple grammar
- simple precedence grammar
- skeletal grammar
- source grammar
- stochastic grammar
- tagged grammar
- test grammar
- transformational grammar
- unambiguous grammar
- unrestricted grammar
- weak precedence grammarEnglish-Russian dictionary of computer science and programming > grammar
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13 kernel
1) зерно, зёрнышко2) керн3) матем. кернфункция4) сердцевина; ядро•kernel on the left — алг. ядро слева
kernel on the right — алг. ядро справа
kernel with a summable square — алг. ядро с суммируемым квадратом
- intrinsically singular kernel - kernel of a linear operator - kernel of a singular integral - kernel of a summation method - kernel of integral operator - kernel of integral transformation - locally finite kernel - nonpositive definite kernel - proper covariance kernelkernel with a weak singularity — алг. ядро со слабой особенностью
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14 παρά
πᾰρά [pron. full] [ρᾰ], [dialect] Ep. and Lyr. also [full] παραί: shortd. [full] πάρ, in Hom., Lyr. (but rarely in Trag., in lyr. passages, A.Supp. 553, S.Tr. 636), and in all dial ects exc. [dialect] Att., GDI5434.8 ([place name] Paros), IG5(2).3.14 (Tegea, iv B. C.), Inscr.Magn.26.28 (Thess.), etc.:—Prep. c. gen., dat., and acc., prop.A beside: hence,A WITH GEN. prop. denoting motion from the side of, from beside, from:I of Place,πὰρ νηῶν ἔλθωμεν Il.13.744
;παρὰ ναῦφιν ἐλευσόμεθ' 12.225
, etc.;παρ' Ὠκεανοῖο ῥοάων.. ἐπερχομένη Od.22.197
;πὰρ νηῶν ἀπώσεται Il.8.533
, etc.;δῶρα π. νηὸς ἐνεικέμεν 19.194
;φάσγανον ὀξὺ ἐρυσσάμενος π. μηροῦ 1.190
, cf. 21.173;σπασσάμενος.. ἄορ παχέος π. μηροῦ 16.473
; πλευρὰ παρ' ἀσπίδος ἐξεφαάνθη was exposed beside the shield, 4.468, cf. A.Th. 624.II commonly of Persons,1 with Verbs of going or coming, bringing, etc.,ἦλθε.. πὰρ Διός Il.2.787
;παρ' Αἰήταο πλέουσα Od.12.70
, etc.;ἀγγελίη ἥκει π. βασιλέος Hdt.8.140
.ά; αὐτομολήσαντες π. βασιλέως X.An.1.7.13
;ἐξεληλυθὼς παρ' Ἀριστάρχου D.21.117
; ὁ π. τινὸς ἥκων his messenger, X.Cyr.4.5.53; soοἱ π. τινός Th.7.10
, Ev.Marc.3.21, etc.;ὅστις ἀφικνεῖτο τῶν π. βασιλέως πρὸς αὐτόν X.An.1.1.5
, etc.; τεύχεα καλὰ φέρουσα παρ' Ἡφαίστοιο from his workshop, Il.18.137, cf. 617, etc.;ἀπαγγέλλειν τι π. τινός X.An.2.1.20
;σὺ δὲ οἰμώζειν αὐτοῖς παρ' ἐμοῦ λέγε Luc.DMort.1.2
.2 issuing from a person, γίγνεσθαι π. τινός to be born from, Pl.Smp. 179b; λόγος (sc. ἐστί) π. Ἀθηναίων c. acc. et inf., Hdt.8.55: freq. following a Noun, δόξα ἡ π. τῶν ἀνθρώπων glory from (given by) men, Pl.Phdr. 232a; ἡ π. τινὸς εὔνοια the favour from, i. e. of, any one, X.Mem.2.2.12; τὸ παρ' ἐμοῦ ἀδίκημα done by me, Id.Cyr.5.5.13; τὰ π. τινός all that issues from any one, as commands, commissions, Id.An.2.3.4, etc.; or promises, gifts, presents, Id.Mem.3.11.13; τὰ παρ' ἐμοῦ my opinions, Pl.Smp. 219a; παρ' ἑωυτοῦ διδούς giving from oneself, i. e. from one's own means, Hdt. 2.129, 8.5;παρ' ἑαυτοῦ προσετίθει X.HG6.1.3
; νόμον θὲς παρ' ἐμοῦ by my advice, Pl.Prt. 322d; αὐτοὶ παρ' αὑτῶν of themselves, Id.Tht. 150d, cf. Phdr. 235c.3 with Verbs of receiving, obtaining, and the like ,τυχεῖν τινος π. τινός Od.6.290
, 15.158;πὰρ δ' ἄρα μιν Ταφίων πρίατο 14.452
;ἀρέομαι πὰρ μὲν Σαλαμῖνος Ἀθαναίων χάριν Pi.P.1.76
;εὑρέσθαι τι π. τῶν θεῶν Isoc.9.14
, cf. IG12.40.10; δέχεσθαι, λαμβάνειν, ἁρπάζειν π. τινός, Th.1.20, X.Oec.9.11, Hes.Th. 914; ἀντιάσαι, αἰτήσασθαι π. τινός, S.El. 870 (lyr.), X.HG3.1.4;ἀξιοῖ π. τοῦ ἰατροῦ φάρμακον πιὼν ἐξεμέσαι τὸ νόσημα Pl.R. 406d
;κόσμος τοῖς πράξασι γίγνεται π. τῶν ἀκουσάντων Id.Mx. 236e
: without Verb,ὁ καρπὸς ὁ π. τῶν δημάρχων IG12.76.27
: with Verbs of learning, etc.,μεμαθηκέναι π. τινῶν Hdt.2.104
, etc.4 with [voice] Pass. Verbs,πὰρ Διὸς.. μῆνις ἐτύχθη Il.15.122
;π. θεῶν ἡ τοιαύτη μανία δίδοται Pl.Phdr. 245c
, etc.; τὰ π. τῶν θεῶν σημαινόμενα, συμβουλευόμενα, X.Cyr.1.6.2; τὰ π. τινὸς λεγόμενα ib.6.1.42; τὰ π. τῆς τύχης δωρηθέντα the presents of.., Isoc.4.26;με π. σοῦ σοφίας πληρωθήσεσθαι Pl.Smp. 175e
.III rarely for παρά c. dat., by, near,πὰρ ποδός Pi.P.10.62
, 3.60; παρὰ δὲ κυανέων πελαγέων dub. l. in S.Ant. 966 (lyr.);τὸν Ῥειτὸν τὸν παρὰ τοῦ ἄστεως IG12.81.5
; πολλοὶ παρ' ἀμφοτέρων ἔπιπτον, = ἀμφοτέρωθεν, D.S.19.42.B WITH DAT. denoting rest by the side of any person or thing, answering the question where?I of Places, κατ' ἂρ ἕζετ'.. πὰρ πυρί, ἔκειτο π. σηκῷ, Od.7.154, 9.319;νέμονται π. πέτρῃ 13.408
;ἑσταότες παρ ὄχεσφιν Il.8.565
; πὰρ ποσὶ μαρναμένων ἐκυλίνδετο at their feet, 14.411, etc.; π. θύρῃσι at the door, 7.346;π. ῥηγμῖνι θαλάσσης 2.773
;δεῖπνον.. εἵλοντο παρ' ὄχθῃσιν ποταμοῖο Od.6.97
, cf. Il.4.475, 20.53, etc.;κεῖσθαι παρ' Ἅιδῃ S.OT 972
; παρ' οἴνῳ over wine, ib. 780, etc.II of persons, beside,πὰρ δὲ οἷ αὐτῷ εἷσε Θεοκλύμενον Od.15.285
;κεῖτο παρὰ μνηστῇ ἀλόχῳ Il.9.556
, cf. 6.246, etc.;παρ' ἀνδράσιν εὐνάζεσθαι Od.5.119
;δαίνυσθαι π. τινί 8.243
; πὰρ δέ οἱ ἑστήκει stood by him, Il.4.367.2 at one's house or place, with one,μένειν π. τισί 9.427
;θητευέμεν ἄλλῳ, ἀνδρὶ παρ' ἀκλήρῳ Od.11.490
;φιλέεσθαι π. τινί Il.13.627
; παρ' ἑωυτοῖσι at their own house, Hdt.1.105, cf. 86;παιδευθῆναι π. τινί X.Cyr.1.2.15
;καταλύειν π. τινί D.18.82
(butπαρά τινα καταλῦσαι Th.1.136
), etc.: hence οἱ παρ' ἐμοί those of my household, X.Mem.2.7.4, etc.; τὰ παρ' ἐμοί life with me, Id.An. 1.7.4; οἱ παρ' ἡμῖν ἄνθρωποι our people, Pl.Phd. 64b; ἡ παρ' ἡμῖν πολιτεία, ὁ παρ' ὑμῖν δῆμος, D.15.19; ὁ παρ' αὑτῷ βίοτος one's own life, S.OT 612;τὸ παρ' ἡμῖν πῦρ Pl.Phlb. 29f
; ;τὸ παρ' ἡμῖν σῶμα Pl.Phlb. 29f
; also, in one's hands,τὰ π. τοῖς Ἑλληνοταμίαις ὄντα IG12.91.6
;ἔχειν παρ' ἑωυτῷ Hdt. 1.130
, etc.; οὔπω παρ' ἐμοὶ τότ' ἦν λέγειν I had no right to speak then, Men.Epit.98.3 before, in the presence of,ἤειδε π. μνηστῆρσιν Od. 1.154
; before a judge,δίκας γίγνεσθαι π. τῷ πολεμάρχῳ IG12.16.9
;π. Δαρείῳ κριτῇ Hdt.3.160
;π. τῷ βασιλέϊ Id.4.65
;παρὰ δικασταῖς Th. 1.73
;εἰς κρίσιν καθιστάναι τινὰ π. τισί D.18.13
: hence παρ' ἐμοί in my judgement, Hdt.1.32, cf. S.Tr. 589, E.Heracl. 881, 1 Ep.Cor.3.19; π. τούτῳ μέγα δυνήσεται with him, Pl.Grg. 510e.4 in quoting authors, παρ' Ἐφόρῳ, παρ' Αἰσχίνῃ, π. Θουκυδίδῃ, in Ephorus, etc., Plb. 9.2.4, D.H.Comp.9,18.III Arc., = π. c. gen., from,καθὰ εἶχον τὰς ἰντολὰς π. τᾷ ἰδίᾳ πόλι SIG559.9
(Megalop., iii B. C.), cf. 558.10 (Ithaca, iii B. C.).C WITH ACCUS. in three main senses,I beside, near, by,II along,III past, beyond.I beside, near, by:1 with Verbs of coming, going, etc., to the side of, to,ἴτην π. νῆας Il.1.347
, cf. 8.220, etc.;βῆ.. π. θῖνα 1.34
, cf. 327, etc.; τρέψας πὰρ ποταμόν to the side of.., 21.603, cf. 3.187: more freq. of persons, εἶμι παρ' Ἥφαιστον to the chamber of H., 18.143, cf. Od.1.285, etc.;ἐσιόντες π. τοὺς φίλους Th.2.51
, etc.;φοιτᾶν π. τὸν Σωκράτη Pl.Phd. 59d
; πέμπειν ἀγγέλους, πρέσβεις π. τινά, Hdt. 1.141, Th.1.58, etc.;ἄγειν π. τινά Hdt.1.86
;καταφυγὴ π. φίλων τινάς Th.2.17
.2 with Verbs of rest, beside, near, by, sts. with ref. to past motion (expressed in such phrases asἧσο παρ' αὐτὸν ἰοῦσα Il.3.406
, cf. 11.577), , cf. 13.372; κεῖται ποταμοῖο παρ' ὄχθας lies stretched beside.., Il.4.487, cf. 12.381; παρ' ἔμ' ἵστασο come and stand by me, 11.314, cf. 592, 20.49, etc.;π. πυθμέν' ἐλαίης θῆκαν Od.13.122
;καταθέτω π. τὰ ἴκρια IG12.94.28
; κοιμήσαντο π. πρυμνήσια they lay down by.., Od.12.32, cf. 3.460;ὁ παρ' ἐμὲ καθήμενος Pl.Euthd. 271b
, cf. Phd. 89b; ἐκάθητο π. τὴν πύλην, π. τὴν ὁδόν, LXX Ge.19.1, Ev.Marc. 10.46;παρ' αὐτὸν τὸν καλέσαντα κατακείμενος δειπνῆσαι Thphr.Char. 21.2
, cf. Pl.Smp. 175c;ἐκαθέζετο π. τὸν Λύσιν Id.Ly. 211a
, cf. R. 328c;στὰς παρ' αὐτόν Id.Phd. 116c
;τέμενος νεμόμεσθα.. παρ' ὄχθας Il.12.313
, cf. 6.34, IG12.943.45;τοῦ Εὐρίπου, παρ' ὃν ᾤκει Aeschin.3.90
;κατελείφθη π. τὸν νηόν Hdt.4.87
;τὴν παρ' ἐμὲ ἐοῦσαν δύναμιν Id.8.140
.ά (v.l. ἐμοί); εἶπεν αὐτῷ μένειν παρ' ἑαυτόν X.Cyr.1.4.18
, cf. An.1.9.31, Ar.Fr. 451, Is.8.16, Alex.248, Demetr.Com. Nov.1.5, IG22.654.23 (iii B. C.), Plb.3.26.1, 11.14.3, 28.14.3;ἡ π. θάλασσαν Μακεδονία Th.2.99
, cf. S.El. 184 (lyr.), Tr. 636 (lyr.);Καρβασυανδῆς π. Καῦνον IG12.204.52
;τὸ κουρεῖον τὸ π. τοὺς Ἑρμᾶς Lys.23.3
, cf. And.1.62, Is.6.20, 8.35, Aeschin. 1.182, 3.88, Lycurg.112; (1).109 iii 146 (Epid.); παρ' ὄμμα before one's eyes, E.Supp. 484; π. πόδας on the spot, Phld.Ir.p.78 W., Rh.2.2 S.; immediately thereafter, Plb.1.7.5, 1.8.2, al.b [dialect] Dor., [dialect] Boeot., and Thess., = supr. B. 11.2, at the house of.., with a person, IG7.3171.7 (Orchom. [dialect] Boeot.), GDI 1717 (Delph.); παρ' ἁμὲ πολυτίματος [ὁ σῖτος] Ar.Ach. 759 (Megar.);τοῖς κατοικέντεσσι πὰρ ἀμμέ IG9(2).517.18
(Larissa, iii B. C.); τοῖ πὰρ ἀμμὲ πολιτεύματος ib.13;πεπολιτευκὼρ πὰρ ἁμέ Schwyzer 425.5
(Elis, iii/ii B. C.): so in [dialect] Att., θέμενος π. γυναῖκας depositing with.., Pl. R. 465c.3 with Verbs of striking, wounding, etc.,βάλε στῆθος π. μαζόν Il.4.480
, etc.;τὸν δ' ἕτερον.. κληῗδα παρ' ὦμον πλῆξε 5.146
;τύψε κατὰ κληῗδα παρ' αὐχένα 21.117
, cf. 4.525, 8.325, etc.; , cf. 17.310; δησάμενος τελαμῶνι π. σφυρόν ib. 290.4 with Verbs of placing, examining, etc., side by side with..,ὁ ἔλεγχος π. τὸν ἔλεγχον παραβαλλόμενος Pl.Grg. 475e
, cf. Hp.Mi. 369c, Smp. 214c, R. 348a; ;ἄλλα παρ' ἄλλατιθέμενα.. τῶν χρωμάτων Arist.Mete. 375a24
.b Geom., παραβάλλειν π. apply an area to (i. e. along) a finite straight line, Euc.1.44, Archim.Aequil.2.1;π. τὴν δοθεῖσαν αὐτοῦ γραμμὴν παρατείναντα Pl. Men. 87a
; ἡ [εὐθεῖα] παρ' ἣν δύνανται αἱ καταγόμεναι τεταγμένως the line to which are applied the squares of the or dinates, etc., Apollon. Perg.Con.1.11: hence,c Arith., παραβάλλειν τι π. τι divide by.. (v.παραβάλλω A.
VII. 2);μερίζω τι π. τι Dioph.4.33
; ἐπὶ γ π. ί multiply by 3 and divide by 10, PLond.5.1718.2 (vi A. D.).5 Geom., parallel to.., Democr.155, Arist. Top. 158b31, Archim.Sph. Cyl.1.12, al.6 metaph. in Gramm., like, as a parody of.., π. τὸ Σοφόκλειον, π. τὰ ἐν Τεύκρῳ Σοφοκλέους, Sch.Ar.Av. 1240, Nu. 584.b Gramm., of words which differ as compared with other words, π. τὸ τοῦ ἔρωτος ὄνομα σμικρὸν παρηγμένον ἐστίν.. [τὸ ἥρως] Pl.Cra. 398d, cf. 399a, Lg. 654a: hence, derived from.., π. τὸ ἔδαφος, δάπεδον, A.D. Pron.31.16; π. τὸ δρῶ δρᾶμα Sch.A.R.2.624;σύγκειται [τὸ αὐθέντης] π. τὸ εἷναι.. καὶ π. τὸ αὐτός Phryn.PSp.24
B.7 generally, of Comparison, alongside of, compared with, usu. implying superiority,δοκέοντες π. ταῦτα οὐδ' ἂν τοὺς σοφωτάτους ἀνθρώπων Αἰγυπτίους οὐδὲν ἐπεξευρεῖν Hdt.2.160
, cf. 7.20, 103;ἡλίου ἐκλείψεις αἳ πυκνότεραι π. τὰ ἐκ τοῦ πρὶν χρόνου μνημονευόμενα ξυνέβησαν Th.1.23
, cf. 4.6;τῶν ἁπάντων ἀπερίοπτοί εἰσι π. τὸ νικᾶν Id.1.41
;π. τὰ ἄλλα ζῷα ὥσπερ θεοὶ ἄνθρωποι βιοτεύουσι X.Mem.1.4.14
;φαίνεται π. τὸ ἀλγεινὸν ἡδὺ καὶ π. τὸ ἡδὺ ἀλγεινὸν ἡ ἡσυχία Pl.R. 584a
, cf. Phdr. 236d, La. 183c, al.;εὐδαίμων μᾶλλον π. πάντας BCH26.332
([place name] Halae);προετέρει π. πάντας PSI 4.422.34
(iii B. C.): sts. implying inferiority or defect, ἠλάττωσας αὐτὸν βραχύ τι παρ' ἀγγέλους a little lower than the angels, LXX Ps. 8.6; μιᾷ ἡμέρᾳ ὑστεροῦσι π. τὸν ἥλιον lag one day behind the sun, Gem.8.19; so perh. παρ' αὐτόν, ὑπὲρ αὐτόν (has passed the ball?) short of him, beyond him, Antiph.234; μέγα τοι ἡμέρα παρ' ἡμέραν γιγνομένη γνώμην ἐξ ὀργῆς μεταστῆσαι one day compared with another is important.., a day's delay makes a difference, Antipho 5.72; τί γὰρ παρ' ἦμαρ ἡμέρα τέρπειν ἔχει προσθεῖσα κἀναθεῖσα τοῦ γε κατθανεῖν; what joy has one day compared with another to offer, since it only brings us nearer to, or farther from, death (which is neither good nor evil)? S.Aj. 475; ὃς μὲν κρίνει (prefers) ἡμέραν παρ' ἡμέραν, ὃς δὲ κρίνει (approves)πᾶσαν ἡμέραν Ep.Rom.14.5
.8 with Verbs of estimating, to set at so and so much, hence π. = equivalent to.., ταρβῶ μὴ.. θῆται παρ' οὐδὲν τὰς ἐμὰς ἐπιστολάς set at nought, E.IT 732, cf. A. Ag. 229 (lyr.);παρ' οὐδὲν ἄγειν S.Ant.35
; π. μικρὸν ἡγεῖσθαι or ποιεῖσθαί τι hold of small account, Isoc.5.79, D.61.51;παρ' ὀλίγον ποιεῖσθαί τινα X.An.6.6.11
; so with εἶναι, etc., παρ' οὐδέν ἐστι are as nothing, S.OT 983, cf. Ant. 466; ;οὐ π. μέγα ἔσεσθαι τὸ πταῖσμα Arr.An.1.18.6
; so perh. π. σμικρὰ κεχώρηκε have turned out of little account, have amounted to little, Hdt.1.120.b in Accountancy, without a verb, π. τὴν καταλλαγήν on account of κ., PHib.1.100.4 (iii B. C.).9 of correspondence, ὀφείλειν στατῆρα π. στατῆρα stater for stater (one to each of two creditors), BCH50.214 (Thasos, v B. C.);πληγὴν π. πληγὴν ἑκάτερον Ar.Ra. 643
; συνεῖναι ἑκατέρῳ ἡμέραν παρ' ἡμέραν stayed day for day with each, D.59.46; hence of alternation, ποιεῖσθαι ἁγνείας καὶ θυσίας δύο π. δύο, of four priests acting two and two alternately, BGU1198.12 (i B. C.); τοῦ καθημερινοῦ ἢ μίαν π. μίαν (sc. ἡμέραν) [πυρετοῦ] quotidian or tertian fever, ib.956.3 (iii A. D.): sts. without doubling of the Noun, παρ' ἡμέρην, opp. καθ' ἡμέρην, tertian, opp. quotidian, Hp.Aph.1.12; καθ' ἡμέραν, παρ' ἡμέραν, π. δύο, π. τρεῖς every day, every second day, every third (fourth) day, Arr.Epict.2.18.13; π. μίαν every second day, Plb.3.110.4; παρ' ἐνιαυτόν every second year, Plu.Cleom.15; παρ' ἔτος year and year about, Arist.GA 757a7; every second year, Paus.8.15.2; π. μέρος by turns (v. μέρος II. 2);ὁ ἀνὰ μέρος παρ' ἓξ μῆνας ὑπὲρ γῆν τε καὶ ὑπὸ γῆν γινόμενος Ἄδωνις Corn. ND28
; π. μῆνα τρίτον every third month, Arist.HA 582b4, cf. Plu.2.942e; but π. τρία [ἔτεα] prob. every fourth year, IG5(2).422 ([place name] Phigalea), cf. Arr.Epict. l.c.; ἕνα παρ' ἕνα παραλειπτέον every second one, Nicom.Ar.1.18; ἕνα π. δύο ([etym.] τρεῖς) every third (fourth) one, ibid.; παρὰ δ' ἄλλαν ἄλλα μοῖρα διώκει now one now another, E.Heracl. 611.10 precisely at the moment of, παρ' αὐτὰ τἀδικήματα flagrante delicto, D.18.13, 21.26;ἀποδώσω π. τὸν εὔθυνον τὸ καθῆκον IG12.188.31
; π. τοιοῦτον καιρόν, π. τὰς χρείας, D.20.41,46; π. τὰ δεινά in the midst of danger, Plu.Ant.63;π. τὴν πρώτην γένεσιν Jul.Or.1.10b
; π. τὴν πρώτην (sc. ἐπίθεσιν) at the first attack, Hld.9.2;π. γε τὴν πρώτην ὁρμήν Ael.NA14.10
.b distributively, whether of Time, π. τὰ ἑβδομήκοντα ἔτεα in each complete period of seventy years, Hdt.1.32;ἐν ταῖς ὁδοιπορίαις π. στάδια διακόσια.. τοῖς ἑκατὸν σταδίοις διήνεγκαν ἀλλήλων X.Oec.20.18
; πὰρ Ϝέτος each year, every year, Tab.Heracl. 1.101;π. τὸν ἐνιαυτὸν ἕκαστον IG12(7).5.14
([place name] Amorgos); παρ' ἆμάρ τε καὶ νύκτα day and night, B.Fr.7; or more generally, πὰρ τὰν ἐλαίαν in respect of each olive plant, Tab.Heracl.1.122; παρ' ἡμέραν αἱ ἀμίαι πολὺ ἐπιδήλως αὐξάνονται from day to day, per day, Arist.HA 571a21;τὸ παρ' ἑκάστην βάσιν γινόμενον μικρὸν πολὺ γίνεται π. πολλάς Id.Pr. 881b26
;ἡ παρ' ἡμέραν χάρις D.8.70
;τὸ παρ' ἑκάστην ἡμέραν ἡδύ Pl. Lg. 705a
.c παρ' ἆμαρ on (this) day, to-day, τὸ μὲν πὰρ ἆμαρ, τὸ δέ .. to-day and to-morrow, Pi.P.11.63; but παρ' ἦμαρ to-morrow, S. OC 1455 (lyr.).d throughout a period of time,π. τὴν ζόην Hdt. 7.46
;π. τὸν βίον ἅπαντα Pl.Lg. 733a
;π. πάντα τὸν χρόνον D.18.10
; also more loosely, during, π. τὴν πόσιν while they were drinking, Hdt.2.121.δ; π. τὸν πότον Aeschin.2.156
;π. τὴν κύλικα Plu.Ant.24
; π. δεῖπνον or π. τὸ δεῖπνον, Id.2.737a,674f.II along,ὄνος παρ' ἄρουραν ἰών Il.11.558
;βῆ δὲ θέειν π. τεῖχος 12.352
;π. ῥόον Ὠκεανοῖο ᾔομεν Od. 11.21
;ἔπλεον π. τὴν ἤπειρον Hdt.7.193
;π. πᾶσαν τὴν ὁδόν Isoc.4.148
; ὀρθὴν παρ' οἶμον.. τύμβον κατόψει straight along the road, E.Alc. 835;παρ' ὅλην τὴν φάραγγα Plb.10.30.3
; παρ' αὐτὴν τὴν χαράδραν παραπορευομένων ib.9; for παραβάλλειν π., v. supr. c. 1.4b.2 strictly according to, without deviating from,εἶμι π. στάθμην ὀρθὴν ὁδόν Thgn. 945
, cf. S.Fr.474.5; ὠμοί τε δούλοις πάντα καὶ π. στάθμην, i.e. too strict, A.Ag. 1045; π. τὸν λόγον ὃν ἀποφέρουσιν.. ἐπιδείξω I will prove to you strictly according to the accounts which they themselves submit, D.27.34.III past, beyond,παρὰ σκοπιὴν καὶ ἐρινεὸν ἠνεμόεντα.. ἐσσεύοντο Il.22.145
, cf. Od.3.172, 24.12;βῆ δὲ π. Κρουνούς h.Ap. 425
; π. τὴν Βαβυλῶνα παριέναι pass by Babylon, X.Cyr.5.2.29; παρ' αὐτὴν τὴν χύτραν ἄκραν ὁρῶντες looking over the edge of.., Ar.Av. 390.2 metaph., over and above, in addition to,οὐκ ἔστι π. ταῦτ' ἄλλα Id.Nu. 698
;π. ταῦτα πάντα ἕτερόν τι Pl.Phd. 74a
, cf.R. 337d, D.18.139, X.HG 1.5.5; ἑκὼν ἐπόνει π. τοὺς ἄλλους more than the others, Id.Ages.5.3, cf. Mem.4.4.1, Oec.20.16;ἃ τῷ ῥαψῳδῷ προσήκει καὶ σκοπεῖσθαι καὶ διακρίνειν π. τοὺς ἄλλους ἀνθρώπους Pl. Ion 539e
.3 metaph., in excess over, πὰρ δύναμιν beyond one's strength, Il.13.787, cf. Th.1.70, Hyp.Lyc.16, Arist.Rh.Al. 1423b29;π. τὴν δ. Id.Po. 1451b38
.4 metaph., in transgression or violation of,π. μοῖραν Od.14.509
;π. μοῖραν Δίος Alc.Supp. 14.10
; παρ' αἶσαν, παρὰ δίκαν, Pi.P.8.13, O.2.16, etc.;π. τὸ δίκαιον Th.5.90
, etc.; π. τὰς σπονδάς, τὸν νόμον, Id.1.67, X.HG1.7.14;π. φύσιν Th.6.17
, cf. Pl.Lg. 747b; π. τὴν στήλην prob. in IG12.45.20; π. καιρόν out of season, Pi.O.8.24, etc.; π. γνώμαν ib.12.10, cf. A.Supp. 454; π. δόξαν, π. τὸ δοκοῦν ἡμῖν, π. λόγον, Th.3.93, 1.84, Plb.2.38.5; παρ' ἐλπίδα or ἐλπίδας, A.Ag. 899, S.Ant. 392, etc.; πὰρ μέλος out of tune, Pi.N.7.69;π. τὴν ἀξίαν Th.7.77
, etc.; π. τὸ εἰωθός, τὸ καθεστηκός, Id.4.17, 1.98.5 π. τοσοῦτον ἦλθε κινδύνου, = παρῆλθε τοσοῦτον κινδύνου, passed over so much ground within the sphere of danger, i.e. incurred such imminent peril, Id.3.49, cf. 7.2; in such phrases the tmesis was forgotten, and the acc. came to be governed by παρά, which thus came to mean 'by such and such a margin', ' with so much to spare', ἐνίκησαν π. πολύ, ἡσσηθέντες π. πολύ, Id.1.29, 2.89, cf. Pl. Ap. 36a; παρὰ δ' ὀλίγον ἀπέφυγες only just, E.IT 870 (lyr.); ; δεινότατον π. πολύ by far, Ar.Pl. 445; παρ' ὅσον quatenus, Luc.Nec.17, etc.; π. δύο ψήφους ἀπέφυγε by two votes, Hyp.Eux.28, cf. D.23.205;π. τέτταρας ψήφους μετέσχε τῆς πόλεως Is.3.37
; π. τοσοῦτον ἐγένετο αὐτῷ μὴ περιπεσεῖν by so much (= little) he missed falling in with.., Th.8.33; π. πέντε ναῦς πλέον ἀνδρὶ ἑκάστῳ ἢ τρεῖς ὀβολοὶ ὡμολογήθησαν ib.29; οὐ π. μικρὸν ἐποίησαν they made no little difference, Isoc.4.59.b in phrases like π. τοσοῦτον ἦλθε κινδύνου, τοσοῦτον was sts. understood of the interval from danger, etc., and παρά came to mean 'by so much short of' (τὸ π. μικρὸν ὥσπερ οὐδὲν ἀπέχειν δοκεῖ Arist.Ph. 197a29
), within such and such a distance of, so near to, τὴν Ἠϊόνα π. νύκτα ἐγένετο (sc. αὐτῷ) λαβεῖν he was within one night of taking E., Th.4.106; π. μικρὸν ἦλθον ἀποθανεῖν I came within a little of.., Isoc. 19.22, cf. Plb.1.43.7, Plu. Caes. 39; παρ' ἐλάχιστον ἦλθε.. ἀφελέσθαι was within an ace of taking away, Th.8.76; παρ' οὐδὲν μὲν ἦλθον ἀποκτεῖναι (were within a mere nothing, within an ace of killing him),ἐξεκήρυξαν δ' ἐκ πόλεως Aeschin. 3.258
, cf. Plu.Pyrrh. 14, Alex.62; π. τοσοῦτον ἦλθε διαφυγεῖν so near he came to escaping, Luc.Cat.4; ;παρ' οὐδὲν ἐλθόντες τοῦ ἀποβαλεῖν Plb.1.45.14
, cf. 2.55.4, D.S.17.42: hence without ἐγένετο or ἐλθεῖν, π. μίαν μονάδα (less) by one, i.e. less one, Nicom.Ar.1.8; τεσσαράκοντα π. μίαν, = 39, 2 Ep.Cor.11.24; παρ' ἕνα τοσοῦτοι the same number less one, Plu. Publ.9; σύ μοι παρ' ἕνα ἥκεις ἄγων you have brought me one too few, Luc.Cat.4;δύναται π. δύο συλλαβὰς εἶναι τὸ καταληκτόν Heph.4.2
; τὰ ὁλοκόττινα ηὑρέθησαν π. ἑπτὰ κεράτια seven carats short, PMasp.70.2 (vi A. D.); πάντες παρ' ἕνα, πάντες παρ' ὀλίγους, all save one (a few), Plu.Cat.Mi.20, Ant.5;ἔτη δύο π. ἡμέρας δύο IG5(1).801
([place name] Laconia); of one Μάρκος, θηρίον εἶ π. γράμμα you are a bear ([etym.] ἄρκος) all but a letter, AP11.231 (Ammian.); ὡς π. τι καὶ τὰς ὄψεις ἀφανίσαι so that he all but (lit. less something) lost his sight, Vett.Val.228.6; π. τι βυθίζεσθαι v.l. in Ev.Luc.5.7; τὸ π. τοῦτο the figure less that, i.e. the remainder or difference, PTeb.99.10 (ii B. C.), cf. POxy.264.4 (i A. D.), PAmh.2.148.5 (v A. D.); hence of any difference whether of excess or defect, οὐδὲν π. τοῦτο ποιούμενοι τοὺς.. Λευκανούς τε καὶ τοὺς.. Σαυνίτας making no difference between.., Str.6.1.3, cf. 14.5.11, Plu.2.24c.6 hence of the margin by which anything increases or decreases, and so of the cause according to which anything comes into existence or varies,τὸ εὖ π. μικρὸν διὰ πολλῶν ἀριθμῶν γίνεται Polyclit.2
(cf. μικρός III. 5 c); διαφέρει π. τὰς τῶν παθημάτων ἐναντιώσεις according to.., Arist.HA 486b5;μεταπίπτει π. τὰ κλίματα Gem. 5.29
, cf. 11.5, al.; π. τὰ πράγματα cj. in Apollod.Car.11.7 more generally of the margin by which an event occurs, i.e. of the necessary and sufficient cause or motive (τὸ μὴ π. τοῦτο γίνεσθαι τότε λέγομεν, ὅταν ἀναιρεθέντος τούτου μηδὲν ἧττον περαίνηται ὁ συλλογισμός Arist.APr. 65b6
, cf. 48a24, al.), κεινὰν π. δίαιταν just for the sake of unsatisfying food, Pi.O.2.65; ἕκαστος οὐ π. τὴν ἑαυτοῦ ἀμέλειαν οἴεται βλάψειν each thinks that his own negligence will not suffice to cause injury, Th.1.141, cf. Isoc.3.48; π. τὴν αὑτοῦ ἁμαρτίαν all through his own fault, Antipho 3.4.5, cf. Isoc.6.52, D.4.11, 18.232; πολλὰ.. ἐστιν αἴτια τούτων, καὶ οὐ παρ' ἓν οὐδὲ δύ' εἰς τοῦτο τὰ πράγματ' ἀφῖκται not from one or two causes only, Id.9.2; οὐ π. τοῦτο οὐκ ἔστι it does not follow that it is not.., 1 Ep.Cor.12.15; π. τὸ τὴν ἀρίθμησιν ποιήσασθαι ἐξ ἑτοίμου τοὺς ἐργώνας οὐκ ὀλίγα χρήματα περιεποίησε τῇ πόλει by the simple fact of prompt payment, IPE12.32B35 (Olbia, iii B. C.); , cf. Plb.3.103.2, 18.28.6, al.; οὐδεὶς παρ' ἑαυτόν ἐστι βασιλεύς thanks to himself alone, Aristeas 224;παρ' αὑτὸν ἀτυχεῖ Arr.Epict.3.24.2
, cf. Phld.Rh.2.16 S.;παρ' ἡμᾶς ἡ τῶν ἀγαθῶν ἀπόστασις Hierocl. in CA25p.477M.
; εἶναι π. τοῦτο σωτηρίαν τε πόλει καὶ τοὐναντίον, i.e. on this depends.., Pl.Lg. 715d, cf. X.Eq.Mag.1.5, D.C.Fr.36.5;π. μίαν ἡμέραν καὶ ἓν πρᾶγμα καὶ ἀπόλλυται προκοπὴ καὶ σῴζεται Epict.Ench.51.2
; π. τὸ Ἕλληνά με εἶναι just because I am a Greek, UPZ7.13 (ii B. C.);π. τὸ ἀγαπᾶν αὐτὸν αὐτήν LXX Ge.29.20
, cf. Ex.14.11; later more loosely, because of.., Phld.Rh.1.158 S., Gem.6.24, etc.; οὐδὲν π. σὲ γέγονε it is no fault of yours, PRyl.243.6 (ii A. D.), cf. POxy.1420.7 (ii A. D.).8 of a limit of possibility,εἴπερ ἐνεδέχετο π. τοὺς παρόντας καιρούς D.18.239
; πεῖσαι τό γε παρ' αὑτόν to persuade (the judges) so far as in you lies, Arr.Epict.2.2.20; οἴμωζε παρ' ἐμέ as far as I am concerned, for all I care, Ar.Av. 846.D POSITION: παρά may follow its Subst. in all three cases, but then becomes by anastrophe πάρα: when the ult. is elided, the practice varies,τῇσι παρ' Il.18.400
; but Ἡφαίστοιο πάρ' ib. 191.F πάρα (with anastrophe) stands for πάρεστι and πάρεισι, Il.1.174, Hes.Op. 454, A.Pers. 167, Hdt.1.42, al., S.El. 285, Ar.Ach. 862, etc.G IN COMPOS.,I alongside of, beside, of rest, παράκειμαι, παράλληλοι, παρέζομαι, πάρειμι (εἰμί), παρίστημι; of motion, παραπλέω, πάρειμι ([etym.] εἶμι).II to the side of, to, παραδίδωμι, παρέχω.IV metaph.,2 of comparison, as in παραβάλλω, παρατίθημι.3 of alteration or change, as in παραλλάσσω, παραπείθω, παραπλάσσω, παρατεκταίνω, παραυδάω, παράφημι.4 of a side-issue, παραπόλλυμι. (Cogn. with Goth. faúr 'along', Lat. por-.) -
15 πρίασθαι
Grammatical information: v.Meaning: `to buy' (Od.).Derivatives: Neg. vbaladj. ἀ-πρία-τος in ἀπριάτην acc. sg. f. `unbought, without ransom' (A 99, h. Cer.132), as adv. `gratuitous' (ξ317, Agath.4,22), pl. ἀπριάτας (Pi. Fr. 169, 8); PN Άπριάτη; cf. Leumann Hom. Wörter 167 f.Etymology: Old inherited, in Greek isolated aorist. Closest to the Greek form comes the OIr. subj. ni-cria `emat' (IE *kʷrii̯āt); remarkably Greek does not have the both in Sanskrit and Celt. and in Slav. wellknown nasalpresent, Skt. krīṇā́ti (for older *kriṇā́ti), OIr. crenim, ORuss. krьnuti `buy'. A corresponding Gr. *πρίνημι had become awkward because of the resembling opposite πέρνημι, Aeol. πορνάμεν `sell' (Meillet BSL 26, 14). The vbaladj. ἀ-πρία-τος can be identified with Skt. krītá- `bought' (ια \< ih₂e = Skt. ī \< ih₂; Schwyzer 363 w. lit. and 743, where also on the other forms). -- To the further numerous, in the separate languages appearing derivations, e.g. Skt. krayá- m. `purchase(price) \< * kʷroih₂-o-', OIr. crīth `payment, purchase', OLith. krienas `price', Toch. B karyor, A kuryar `purchase, trade', Greek has no correspondence. -- Further forms w. rich lit. in WP. 1, 523 f., Pok. 648 and in the relevant dictionaries.Page in Frisk: 2,594-595Greek-English etymological dictionary (Ελληνικά-Αγγλικά ετυμολογική λεξικό) > πρίασθαι
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16 Boole, George
SUBJECT AREA: Electronics and information technology[br]b. 2 November 1815 Lincoln, Englandd. 8 December 1864 Ballintemple, Coounty Cork, Ireland[br]English mathematician whose development of symbolic logic laid the foundations for the operating principles of modern computers.[br]Boole was the son of a tradesman, from whom he learned the principles of mathematics and optical-component manufacturing. From the early age of 16 he taught in a number of schools in West Yorkshire, and when only 20 he opened his own school in Lincoln. There, at the Mechanical Institute, he avidly read mathematical journals and the works of great mathematicians such as Lagrange, Laplace and Newton and began to tackle a variety of algebraic problems. This led to the publication of a constant stream of original papers in the newly launched Cambridge Mathematical Journal on topics in the fields of algebra and calculus, for which in 1844 he received the Royal Society Medal.In 1847 he wrote The Mathematical Analysis of Logic, which applied algebraic symbolism to logical forms, whereby the presence or absence of properties could be represented by binary states and combined, just like normal algebraic equations, to derive logical statements about a series of operations. This laid the foundations for the binary logic used in modern computers, which, being based on binary on-off devices, greatly depend on the use of such operations as "and", "nand" ("not and"), "or" and "nor" ("not or"), etc. Although he lacked any formal degree, this revolutionary work led to his appointment in 1849 to the Chair of Mathematics at Queen's College, Cork, where he continued his work on logic and also produce treatises on differential equations and the calculus of finite differences.[br]Principal Honours and DistinctionsRoyal Society Medal 1844. FRS 1857.BibliographyBoole's major contributions to logic available in republished form include George Boole: Investigation of the Laws of Thought, Dover Publications; George Boole: Laws of Thought, Open Court, and George Boole: Studies in Logic \& Probability, Open Court.1872, A Treatise on Differential Equations.Further ReadingW.Kneale, 1948, "Boole and the revival of logic", Mind 57:149.G.C.Smith (ed.), 1982, George Boole \& Augustus de Morgan. Correspondence 1842– 1864, Oxford University Press.—, 1985, George Boole: His Life and Work, McHale.E.T.Bell, 1937, Men of Mathematics, London: Victor Gollancz.KF -
17 ἅμα
ἅμα (Hom.+)① adv. marker of simultaneous occurrence, at the same time, denoting the coincidence of two actions in time (B-D-F §425, 2; Rob. index) at the same time, together B 8:6; w. ptc. (Is 41:7; Jos., Bell. 3, 497; Just., D. 1, 1; 98, 1) ἅ. ἀνέντες τὰς ζευκτηρίας while at the same time Ac 27:40; cp. 16:4 D. W. finite verb everything at once Dg 8:11. ἅ. (δὲ) καί (but) at the same time also, besides ἅ. καὶ ἐλπίζων Ac 24:26 (Jos., Ant. 18, 246 ἅ. καὶ ἀγόμενος). ἅ. δὲ καὶ ἀργαὶ μανθάνουσιν 1 Ti 5:13 (s. μανθάνω 3). ἅ. δὲ καὶ ἑτοίμαζε Phlm 22.—In correspondence ἅμα … ἅμα καί partly … partly ἅμα διὰ τὴν ὑποψίαν τὴν πρὸς τὴν γυναῖκα, ἅμα καὶ διὰ τό μὴ φυγεῖν αὐτόν AcPl Ha 4, 8f.—Postpositive προσευχόμενοι ἅμα καὶ περὶ ἡμῶν Col 4:3.② marker of association, togetherⓐ as adv. denoting association in someth. (cp. ἠφάνισαν νέον καὶ πρεσβύτην καὶ τέκνα αὐτῶν ἅμα PsSol 17:11) together ἅ. ἠχρεώθησαν (like יַחְדָּו) Ro 3:12 (Ps 13:3; 52:4).ⓑ used as prep. w. dat. together with (Hom. et al.; SIG 958, 21f; 1168, 6; PRein 26, 14; POxy 975; 658, 13; 975; PFlor 21, 15; Wsd 18:11; 1 Esdr 1:43 al.; TestAbr A 10 p. 88, 5 [Stone p. 24]; TestJob 29:1; GrBar 17:1; Just., A I, 4, 9 al.; Ath.) ἐκριζώσητε ἅ. αὐτοῖς Mt 13:29. ἅ. Ῥέῳ IPhld 11:1; cp. IEph 2:1; 19:2; IMg 15 al. Apparently pleonastic w. σύν (cp. Alex. Aphr., An. 83, 19 ἅ. αἰσθομένη σὺν αὐτῷ; En 9:7; Jos., Ant. 4, 309; cp. SIG 705, 57 ἅμα μετʼ αὐτῶν) to denote what belongs together in time and place (about like Lat. una cum): ἅ. σὺν αὐτοῖς ἁρπαγησόμεθα 1 Th 4:17. ἅ. σὺν αὐτῷ ζήσωμεν 5:10.—Also w. adv. of time (POxy 1025, 16 [III A.D.] ἅμʼ αὔριον; cp. Jos., Ant. 6, 40 ἅ. ἕῳ) ἅ. πρωί̈ early in the morning Mt 20:1 (Theophanes Continuatus 719, 7 [IBekker 1838]; cp. EpArist 304 ἅ. τῇ πρωί̈ᾳ).—DELG. M-M.
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Nonstandard finite difference scheme — Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known.[1] [2]… … Wikipedia
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium