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congruence damsâzi Fr.: congruence The quality or state of agreeing or corresponding. → congruent. Noun form of → congruent. |
congruent damsâz Fr.: congruent 1) Agreeing; accordant. Congruent "suitable, proper," from L. congruentem (nominative congruens) "agreeing, fit, suitable," p.p. of congruere, literally "to come together, agree, correspond with," from → com- "with" + a lost verb *gruere, *ruere "fall, rush." Damsâz "agreeing, consenting, harmonious," maybe from hamsâz "unanimous," → compatible. |
congruent angles zâviyehâ-ye damsâz Fr.: angles congrus Two angles if they have the same measure. Congruent angles may lie in different orientations or positions. |
congruent circles parhunhâ-ye damsâz Fr.: cercles congrus Two circles if they have the same size. |
congruent line segments borankhâ-ye damsâz Fr.: segments congru Two line segments if they have the same length. They need not lie at the same angle or position on the plane. |
congruent number adad-e damsâz Fr.: nombre congru Number theory: An → integerN if there exists a → right triangle with → rational sides so that the area of the triangle is N. For example, the number N = 6, because of the 3-4-5 triangle. |
congruent polygons candbarhâ-ye damsâz Fr.: polygones congrus Polygons that have an equal number of sides, and all the corresponding sides and angles are congruent. However, they can be in a different location, rotated or flipped over. |
congruent triangles sebarhâ-ye damsâz Fr.: triangles congrus Two triangles when all corresponding sides and interior angles have the same measure. The triangles will have the same shape and size, but one may be a mirror image of the other. |
conic maxruti (#) Fr.: conique Same as → conic section. Adj. from → cone. |
conic section sekanj-e maxruti Fr.: section conique A curve which may be represented as the intersection of a plane with a cone; hence a → parabola, → hyperbola, or → ellipse. |
conjecture hâšan Fr.: conjecture An opinion or theory formed without sufficient evidence for proof; guess; speculation. M.E., from O.Fr. conjecture "surmise, guess," or directly from L. coniectura "conclusion, interpretation, guess, inference," literally "a casting together (of facts, etc.)," from coniectus, p.p. of conicere "to throw together," from → com- "together" + iacere "to throw," → eject. Hâšan, from hâ-, variant ham-, → com-, + šan, from ešândan "to throw out," → eject. |
conjugate 1) hamyuq (#); 2) hamyuqidan (#) Fr.: 1) conjugué; 2) conjuguer 1) An element of a group related to a given element x by
y = z^{-1}xz or zy = xz, where z is another element
of the group. Also known as → transform. From L. conjugare "to join together," from → com- "together" + jugare "to join," from jugum "yoke," from PIE *yeug- "to join;" cf. Av. yaog- "to yoke, put to; to join, unite," Mid.Pers. jug, ayoxtan "to join, yoke," Mod.Pers. yuq "yoke," Skt. yugam "yoke," Hittite yugan "yoke;" Gk. zygon "yoke," zeugnyanai "to join, unite," O.C.S. igo, O.Welsh iou, Lith. jungas O.E. geoc. Hamyuq, from ham- "together," → com- + yuq "yoke," from PIE *yeug- "to join," as above. |
conjugate angles zâviyehâ-ye hamyuq Fr.: angles conjugués Two angles whose sum is 360° or 2π radians. |
conjugate axis âse-ye hamyuq Fr.: axe conjugué One of the two diameters of a conic, so related that a tangent at the end of one is parallel to the other. |
conjugate complex number adad-e hamtâft hamyuq (#) Fr.: nombre complexe conjugé The conjugate of a → complex number, expressed by ū = a - bi. The complex number and its conjugate have the same real part. Same as → complex conjugate. |
conjugate momentum jonbâk hamyuq Fr.: moment conjugué If q_{j} (j = 1, 2, ...) are generalized coordinates of a classical dynamical system, and L is its Lagrangian, the momentum conjugate to q_{j} is p_{j} = ∂L/∂q. Also known as canonical momentum. |
conjugate points noqtehâ-ye hamyuq Fr.: points conjugués Two points positioned along the principal axis of a mirror or lens so that light coming from one focuses onto the other. |
conjugate ray partow-e hamyuq Fr.: rayon conjugué Of an optical ray, the parallel ray that passes through the center of the → optical system. |
conjugate transpose tarânehâd-e hamyuq Fr.: transpose conjugé Of an m x n→ matrix A with → complex → elements, the n x m matrix A^{*} obtained from A by taking the → transpose and then taking the → complex conjugate of each element. Same as → adjoint matrix or Hermitian transpose. |
conjugation hamyuqeš (#) Fr.: conjugaison 1) Math: An operation of a group G on itself which associates
with each ordered pair (x,y) of elements in the group the
element xyx^{-1}. Verbal noun form of → conjugate. Hamyuqeš, from ham-, as above + yuqeš verbal noun of yuqidan "to yoke, join," from yuq "yoke," from PIE *yeug- "to join," → conjugate. |
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