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reciprocal+directions

  • 1 самосопряжённые направления

    Универсальный русско-английский словарь > самосопряжённые направления

  • 2 сопряжённые направления

    1) Engineering: conjugate directions
    2) Mathematics: reciprocal directions

    Универсальный русско-английский словарь > сопряжённые направления

  • 3 сопряженные направления

    conjugate directions мат., reciprocal directions

    Русско-английский научно-технический словарь Масловского > сопряженные направления

  • 4 самосопряженные направления

    self-adjoint [self-reciprocal] directions

    Русско-английский научно-технический словарь Масловского > самосопряженные направления

  • 5 uterque

    ŭter-que, utrăque, utrumque ( gen. sing. utriusque, always with ĭ, Plaut. Truc [p. 1945] 4, 3, 20; Lucr. 4, 503; Cat. 68, 39; Hor. C. 3, 8, 5; Ov. M. 6, 506; old gen. and dat. sing. fem. utraeque, acc. to Charis. 2, 3, p. 132; gen. plur. utrumque, Cic. Verr. 2, 5, 49, § 129 B. and K.), pron., each (of two), either, each one, one and the other, one as well as the other, both (applied to two subjects regarded severally, while ambo regards the two as a pair; cf. Zumpt, Gr. § 141, Anm. 2).
    I.
    Sing.
    A.
    In gen.
    1.
    With substt.
    (α).
    In gen.:

    imperator uterque hinc et illinc Jovi Vota suscipere,

    Plaut. Am. 1, 1, 74: tibi in utrāque parte pollet et pariter potest, Afran. ap. Non. p. 375, 5 (Com. Rel. v. 226 Rib.):

    causae utriusque figurae,

    Lucr. 4, 503; 4, 1212:

    quascumque (insulas) in liquentibus stagnis Marique vasto fert uterque Neptunus,

    Cat. 31, 3:

    parique fastigio steterit in utrāque fortunā,

    Nep. Att. 14, 2:

    docte sermones utriusque linguae,

    Greek and Latin, Hor. C. 3, 8, 5; cf.:

    insignis utriusque linguae monimentis,

    Plin. 12, 1, 5, § 9:

    Quid... gentes ab utroque jacentes Oceano numerem?

    Ov. M. 15, 829:

    litora sub utroque jacentia Phoebo,

    i. e. the rising and the setting sun, id. ib. 1, 338:

    nutu (Jovis) tremefactus uterque Est polus,

    id. F. 2, 489:

    limes uterque poli,

    Stat. Th. 1, 157:

    deus est in utroque parente,

    father and mother, Ov. M. 13, 147:

    cum jam tempus esset deducendi ab Samnio exercitus aut utriusque aut certe alterius,

    Liv. 10, 44, 6:

    densis ictibus heros Creber utrāque manu pulsat versatque Dareta,

    Verg. A. 5, 460:

    numen utriusque Dianae,

    Mart. Spect. 13, 5.—
    (β).
    Esp. in the phrase in utramque partem, in either way or direction, on both sides, for and against, etc.:

    vemens in utramque partem es nimis, Aut largitate nimiā aut parsimoniā,

    Ter. Heaut. 3, 1, 31:

    magnam vim esse in fortunā in utramque partem, vel ad secundas res, vel ad adversas, quis ignorat,

    Cic. Off. 2, 6, 19; 2, 10, 37:

    in utramque partem disserere = pro et contra,

    id. Rep. 3, 6, 4; id. de Or. 3, 27, 107:

    utramque in partem multa dicuntur,

    id. Ac. 2, 39, 124:

    magna est vis conscientiae, et magna in utramque partem, ut neque timeant... et putent, etc.,

    id. Mil. 23, 61:

    suam sententiam in utramque partem esse tutam,

    on either assumption, Caes. B. G. 5, 29.—
    2.
    Absol.
    (α).
    In gen.:

    aequom'st, quod in rem esse utrique arbitremur, Et mihi te et tibi me consulere,

    Plaut. Aul. 2, 1, 10:

    conveniunt adhuc utriusque verba,

    id. Truc. 4, 3, 20:

    verum utrique mos geratur amborum ex sententiā,

    id. ib. 5, 69:

    sed uterque (sapiens appellatus est) alio quodam modo,

    Cic. Lael. 2, 6:

    ut aut uterque inter se aut neuter satis duret,

    id. Quint. 8, 30:

    tu mihi videris utrumque facturus,

    id. Rep. 2, 11, 22:

    quare qui utrumque voluit et potuit,

    id. ib. 3, 3, 6:

    uterque cum equitatu veniret,

    Caes. B. G. 1, 42:

    hic, qui utrumque probat, ambobus debuit uti,

    Cic. Fin. 2, 7, 20: cum utrique sis maxime necessarius, Balb. et Opp. ap. Cic. Att. 9, 7, A, 2;

    opp. unus,

    Cic. Verr. 2, 3, 60, § 140:

    quod tibi non utriusque petenti copia facta'st,

    Cat. 68, 39:

    utque fide pignus dextras utriusque poposcit,

    Ov. M. 6, 506:

    vitium est utriusque,

    Mart. 3, 27, 3:

    cum esset et aequalis Mars utriusque,

    id. Spect. 29, 2.—
    (β).
    Esp., in apposit. with nouns or clauses:

    apud Antiphonem uterque, mater et pater, Quasi deditā operā domi erant,

    Ter. Eun. 5, 2, 1:

    Maecenas atque Coccejus, missi magnis de rebus uterque Legati,

    Hor. S 1, 5, 28:

    ego utrumque meum puto esse, et quid sentiam ostendere et quod feceris defendere,

    Cic. Fam. 1, 9, 25.—With pron. understood:

    verum, Demea, Curemus aequam uterque partem,

    Ter. Ad. 1, 2, 50; so freq. with neutr. pron. where the gen. would be ambiguous (cf. 3. infra):

    id utrumque tardum fructum reddit,

    Plin. 17, 22, 35, § 176: quod (aquam et pabulum) utrumque large palus praebere poterat, Auct. B. Alex. 1 fin. —Once with nom. masc.: nam qui instat alicui... aut contra de alicujus periculo festinatur, is uterque infestus dicitur, Nigid. ap. Gell 9, 12, 6.—
    3.
    With gen. part. (class. with pers. pronn., etc.; cf.

    Zumpt, Gr. § 429): utrique nostrum gratum admodum feceris,

    Cic. Lael. 4, 16:

    uterque nostrum id sibi suscipiendum putavit,

    id. Sull. 4, 13:

    horum uterque ita cecidit victus ut victor idem regnaverit... utrique horum secunda fortuna regnum est largita,

    id. Har. Resp. 25, 54:

    domus utriusque nostrum aedificatur strenue,

    id. Q. Fr. 2, 4, 2: cum eorum, de quibus dicimus, aut utrumque, aut unum quodque certe concluditur verbo, etc., Auct. Her. 4, 27, 37:

    ante utriusque horum obitum,

    Vell. 2, 103, 1; v. also I. B. 1. and 3. infra.—Also with substt., accompanied by adj. pron.:

    earum enim rerum utramque a corde proficisci,

    Cic. Div. 1, 52, 119:

    quarum civitatum utraque foederata est,

    id. Verr. 2, 5, 22, § 56:

    quorum generum in utroque magnus noster Cato est,

    id. Leg. 3, 18, 40:

    utriusque harum rerum expers,

    id. Tusc. 1, 26, 65.—Rarely with substt. alone ( poet. and post-Aug.):

    et haec utinam Viscorum laudet uterque!

    Hor. S. 1, 10, 83:

    uterque legatorum et quisquis... remissi,

    Vell. 2, 50, 3:

    post utriusque adulescentium obitum,

    id. 2, 103, 2:

    obiit, utroque liberorum superstite, Tiberio Drusoque Neronibus,

    Suet. Tib. 4 fin. —
    B.
    In partic.
    1.
    With plur. predic. (rare in the best prose; not in Cic.; cf.

    infra): uterque insaniunt,

    Plaut. Curc. 1, 3, 31:

    deinde uterque imperator in medium exeunt,

    id. Am. 1, 1, 68; cf. Ter. Eun. 5, 2, 1, A, 2, b, supra:

    facite ut uterque sublimiter stent,

    Cato, R. R. 70, 2:

    uterque eorum ex castris exercitum ducunt,

    Caes. B. C. 3, 30:

    illae (naves) conflixerunt, ut utraque ex concursu laborarent,

    id. ib. 2, 6:

    uterque cum illo gravis inimicitias exercebant,

    Sall. C. 49, 2:

    utraque festinant,

    Ov. M. 6, 59:

    uterque ambigui,

    Tac. H. 2, 97:

    uterque opibus perviguere,

    id. A. 4, 34:

    decernitur ut uterque in regnum restituantur,

    Just. 38, 3, 4; Val. Max. 5, 4, 6; Vell. 2, 66, 1; Claud. Rapt. Pros. 2, 20; cf. plur. in consecutive clauses:

    hic cum uterque me intueretur, seseque ad audiendum significarent paratos,

    Cic. Fin. 2, 1, 1 Madvig ad loc.:

    quorum utrumque audivi, cum mihi nihil sane praeter sedulitatem probarent, etc.,

    id. ib. 1, 5, 16.—
    2.
    With predicate in first or second person (mostly post-Aug.):

    sed uterque mensuram implevimus, ego et tu,

    Tac. A. 14, 54 init.:

    quid ergo inter me et te interest, si uterque habere volumus,

    Sen. Vit. Beat. 26, 1:

    uterque magnum beneficium dedistis,

    id. Contr. 4 (8), 24, 4:

    quod uterque cuperemus,

    Front. Ep. ad Am. 1, 5; cf. Ter. Heaut. 2, 4, 14, II. B. infra.—
    3.
    In reciprocal uses, one... the other, each... the other, either... the other, one another, etc.
    (α).
    Uterque repeated in another case (mostly ante-class. and post-Aug.):

    quia uterque utrique est cordi,

    Ter. Phorm. 5, 3, 17:

    cum uterque utrique esset exercitus in conspectu,

    Caes. B. G. 7, 35 (al. uterque utrimque):

    cum uterque utrique insidiaretur, Auct. B. Alex. 4, 1: uterque utrumque vituperato,

    Varr. Fragm. p. 131 Durdr.—
    (β).
    With a case of alter:

    ita est utraque res sine alterā debilis,

    Cic. Tusc. 2, 5, 13:

    quorum uterque suo studio delectatus contempsit alterum,

    id. Off. 1, 1, 4:

    cum enim uterque alteri obiciat, palam est utrumque fecisse,

    Quint. 11, 3, 168:

    invictum tamen ab altero utrumque servavit,

    Just. 6, 2, 9:

    arceri utrumque genus ab altero narrant,

    Plin. 8, 44, 69, § 171; Cels. 5, 26, 35 fin.; Ascon. ad Cic. Mil. § 30.—
    II.
    Plur.
    A.
    Regularly of two parties, sets, or classes, each including a plurality: Praenestini et Lanuvini hospites: suopte utrosque decuit acceptos cibo, etc., Naev. ap. Macr. S. 3, 18, 6 (Com. Rel. v. 21 Rib.): non cauponantes bellum sed belligerantes, Ferro non auro vitam cernamus utrique, Enn. ap. Cic. Off. 1, 12, 38 (Ann. v. 202 Vahl.):

    utrosque pergnovi probe,

    Plaut. Truc. 1, 2, 50:

    quoniam utrique Socratici et Platonici volumus esse,

    Cic. Off. 1, 1, 2:

    a quibus utrisque (actoribus et poëtis) summittitur aliquid, etc.,

    id. de Or. 3, 26, 102:

    quos ego utrosque in eodem genere praedatorum direptorumque pono,

    id. Cat. 2, 9, 20:

    his utrisque (Atrebatis et Viromanduis) persuaserant,

    Caes. B. G. 2, 16:

    Aetolorum utraeque manus Heracleam sese incluserunt,

    Liv. 36, 16, 5; Sall. J. 76, 4:

    utrique (plebis fautores et senatus) victoriam crudeliter exercebant,

    id. C. 38, 4; Suet. Claud. 21; cf.: hic igitur Q. Ligarius... nunc a te supplex fratris salutem petit: quam hujus admonitus officio cum utrisque his dederis, tris fratres optimos... rei publicae condonaveris, i. e. two brothers on one side and Ligarius on the other, Cic. Lig. 12, 36:

    Marius impigre suorum et hostium res pariter attendere, cognoscere, quid boni utrisque aut contra esset,

    Sall. J. 88, 2: cujus flamma ut ab oppidanis et oppugnatoribus est visa, utrisque venit in opinionem, etc., Nep. Milt. 7, 3.—So with collective nouns:

    primo impetu simul utraque cornua et Numidae pulsi,

    Liv. 30, 8, 7; cf.:

    utraque oppida,

    id. 42, 54, 8:

    utraeque nationes Rheno praetexuntur,

    Tac. G. 34.—
    B.
    Freq. also of two individual subjects, esp. when regarded as belonging together (cf. Krebs, Antibarb. p. 1175):

    nec clam te est quam illi utraeque nunc inutiles Et ad pudicitiam et ad rem tutandam sient,

    Ter. And. 1, 5, 52:

    hoc beneficio utrique ab utrisque vero devincimini, Ut, etc.,

    id. Heaut. 2, 4, 14:

    utrique imperatores exeunt,

    Plaut. Am. 1, 1, 68 Ussing (Fleck., uterque imperator): sed qui utrosque error vos agitat, Expedibo, Pomp. ap. Non. 505, 7 (Com. Rel. v. 175 Rib.): suis utrisque superstitibus praesentibus istam viam dico, Leg. Form. ap. Cic. Mur. 12, 26:

    binos habebam (scyphos): jnbeo promi utrosque,

    Cic. Verr. 2, 4, 14, § 32:

    duae fuerunt Ariovisti uxores... utraeque in eā fugā perierunt,

    Caes. B. G. 1, 53:

    hi utrique ad urbem imperatores erant (Q. Marcius et Q. Metellus),

    Sall. C. 30, 4:

    animus ferox inopia rei familiaris et conscientia scelerum, quae utraque eis artibus auxerat,

    id. ib. 5, 7:

    illa utrosque (patrem et aviam) intuens,

    Tac. A. 16, 11; id. Or. 2:

    palmas utrasque tetendit,

    Verg. A. 6, 685:

    quod utrorum Dionysiorum opibus Corinthi saepe adjuti fuerant,

    Nep. Timol. 2, 2:

    utrique (Mithridates et Datames) locum qui explorarent mittunt,

    id. Dat. 2, 2:

    laudare senis utraque consilia,

    Liv. 9, 12, 2:

    utrisque consulibus Italia decreta est,

    id. 27, 22, 2:

    in invidiā censores cum essent... Cn. Baebius diem ad populum utrisque dixit,

    id. 29, 37, 17; 32, 17, 15; 34, 25, 5;

    42, 54, 8: Suillium accusandis utrisque immittit,

    Tac. A. 11, 1 init.:

    Natalem multa cum Scaevino collocutum, et esse utrosque C. Pisonis intimos,

    id. ib. 15, 55 fin.:

    pater filiam, avia neptem, illa utrosque intuens,

    id. ib. 16, 11:

    nam Mago Cambyses aures utrasque praeciderat,

    Just. 1, 9, 17; 9, 7, 8:

    crederes imperatum, ut acies utraeque tela cohiberent,

    Curt. 7, 4, 35.—Hence,
    A.
    ŭtrōquĕ, adv.
    1.
    Lit., of place, to both places, parts, or sides, in both directions:

    utroque citius quam vellemus, cursum confecimus,

    Cic. Att. 5, 12, 1:

    exercitus utroque ducti,

    Liv. 8, 29, 7:

    jactantem utroque caput,

    Verg. A. 5, 469:

    nunc huc, nunc illuc et utroque sine ordine curro,

    Ov. H. 10, 19:

    nescit, utro potius ruat, et ruere ardet utroque,

    id. M. 5, 166. —
    2.
    Transf., in both directions, in either point of view, both ways, etc.:

    auctores utroque trahunt,

    Liv. 1, 24, 1:

    medium maxime et moderatum utroque consilium,

    id. 2, 30, 1:

    utroque firmiores qui in callibus versentur,

    Varr. R. R. 2, 10, 1.—
    (β).
    Esp., connected with versum ( vorsum; sometimes written in one word, utroqueversum):

    utroque vorsum rectum est ingenium meum,

    Plaut. Capt. 2, 3, 8: accidit, ut quaedam vocabula ambigua sint et utroque versum dicantur, i. e. in a twofold sense, denoting augmentation or diminution, Gell. 5, 12, 10.—
    B.
    ŭtrasquĕ, adv. (acc. to the analogy of alias, alteras), both times (ante-class.): in Hispaniā pugnatum bis: utrasque nostri loco moti, Cass. Hem. ap. Non. 183, 24; Caecil. ib. 183, 25.

    Lewis & Short latin dictionary > uterque

  • 6 contrārius

        contrārius adj.    [contra].—Of position, lying over against, opposite: ripa: collis huic, Cs.: Phrygiae tellus, O.: contrario ictu transfixus, by a blow from the opposite direction, L.: volnera, in front, Ta. — Opposite, contrary, opposed, conflicting: defendere contrariam partem: inter se pugnantia studia: disputare in contrarias partīs, on both sides: huius virtutis vitiositas: iura omnibus aliis: aestus vento, O.: ex orationibus capita alterna inter se contraria: contrario motu atque caelum, opposite to that of the sky.—As subst n., the opposite, contrary, reverse: contrarium est.. ut frigus calori, the antithesis: lex imperans honesta, prohibens contraria: si ea volt... sin autem contraria, etc., N.: vocant animum in contraria, in opposite directions, V.: in contraria versus, transformed: vitia quae sunt virtutum contraria, the opposites: ex contrario, on the contrary, on the other hand, Cs.: hoc ex contrario contendo: e contrario, N. — Hostile, inimical, antagonistic: Tibi, Ph.: litora litoribus, V.: undis ignis, O.
    * * *
    I
    contraria, contrarium ADJ
    opposite, contrary, in contradiction; antithetical; opposed, hostile, adverse; incompatible; reversed, inverted; reciprocal, mutual; counterbalancing
    II
    opponent, adversary; antagonist

    Latin-English dictionary > contrārius

  • 7 uter-que

        uter-que utraque, utrumque    （gen. utrīusque, sometimes utriusque, H., O.; gen plur. utrūmque, C.). pron—Sing., each, either, each one, one and the other, one as well as the other, both (of two regarded severally): parique fastigio steterit in utrāque fortunā, N.: Docte sermones utriusque linguae, Greek and Latin, H.: sub utroque Phoebo, i. e. the rising and the setting sun, O.: tempus deducendi exercitūs aut utriusque aut certe alterius, L.: sed nterque (sapiens appellatus est) alio quodam modo: uterque cum equitatu veniret, Cs.— In apposition: uterque, mater et pater, domi erant, T.: ego utrumque meum puto esse, et quid sentiam ostendere et quod feceris defendere.—With gen part. (of a pron. or a subst. with a pron demonstr. or relat.; poet. also with a subst. alone): uterque nostrum id sibi suscipiendum putavit: domus utriusque nostrum aedificatur strenue: utriusque harum rerum expers.—Poet.: et haec utinam Viscorum laudet uterque! H.—In the phrase, in utramque partem, in either way, in both directions, on both sides, both ways, for and against: Vemens in utramque partem es nimis, Aut largitate nimiā aut parsimoniā, T.: utramque in partem multa dicuntur, pro and con: suam sententiam in utramque partem esse tutam, on either assumption, Cs.—With plur predic.: uterque eorum ex castris exercitum educunt, Cs.: uterque cum illo gravīs inimicitias exercebant, S.—In reciprocal uses, one... the other, each... the other, either... the other, one another: uterque utrique est cordi, T.: est utraque res sine alterā debilis.—Plur., of two parties or collections, each party, each side, both: quoniam utrique Socratici et Platonici volumus esse: his utrisque (Atrebatis et Viromanduis) persuaserant, Cs.: Aetolorum utraeque manūs Heracleam sese incluserunt, L.: utraque oppida, L.: utraeque nationes Rheno praetexuntur, Ta.— Of two subjects, both together, both at once, both, one as well as the other: binos habebam (scyphos), iubeo promi utrosque: duae fuerunt Ariovisti uxores... utraeque in eā fugā perierunt, Cs.: hi utrique ad urbem imperatores erant (Q. Marcius et Q. Metellus), S.: palmas utrasque tetendit, V.: utrisque consulibus Italia decreta est, L.

    Latin-English dictionary > uter-que

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