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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 1) hâšan; 2) hâšanidan Fr.: 1) conjecture; 2) conjecturer, supposer 1a) The formation or expression of an opinion or theory without sufficient
evidence for proof. 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. |
conjunct hamjuhé Fr.: Any of the component statements of a → conjunction. → conjunction. |
conjunction 1) hamistân, hâjuheš; 2) hâjuheš Fr.: conjonction 1) A position of two bodies in the → solar system
when they have the same → celestial longitude,
seen from the Earth. The bodies can be a → planet
and the → Sun, two planets or the
→ Moon and a planet. The
→ superior planets are in conjunction with the Sun,
when, seen from the Earth, they are right behind the Sun. The
→ inferior planets, such as Mercury and Venus,
have two conjunctions with the Sun: → inferior conjunction,
when they are between the Earth and the Sun, and
→ superior conjunction, when they are on the other
side of the Sun. M.E. conjunccio(u)n, from O.Fr. conjonction, from L. conjunctionem, p.p. of conjugare "to join together," from → com- "together" + jugare "to join," from jugum "yoke," from PIE *yeug- "to join;" Av. yaog- "to yoke, put to; to join, unite;" Mid.Pers. jug, ayoxtan "to join, yoke;" Mod.Pers. yuq "yoke," variant juh, → 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. Hamistân "standing together," from ham- "together,"
→ com- + istân "standing," from istâdan
"to stand" (cf. Skt samstha "an assembly"), Mid.Pers.
êstâtan, O.Pers./Av. sta- "to stand, stand still; set,"
Av. hištaiti, cf. Skt. sthâ- "to stand,"
Gk. histemi "put, place, weigh," stasis "a standing still,"
L. stare "to stand." |
connect hâbandidan Fr.: connecter, se connecter To join, link, or fasten together. M.E., from L. connectere, from "to fasten together, join together," from → com- "together" + nectere "to bind, tie," from nexus "bond, link," related to nodus "knot." Hâbandidan, from hâ- intensive prefix, from ham-, → com-, + band present stem of bandidan, bastan, → band; cf. (dialectal Anâraki) ha-bend. |
connected hâbandidé Fr.: connecté Joined, linked, or having a connection. → connected graph. Past participle of → connect. |
connected graph negâre-ye hâbandidé Fr.: graphe connecté In → =graph theory, a graph if for every pair of distinct vertices there is a path. |
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