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conformal hamdis Fr.: conforme 1) That conforms, especially to the shape of something. |
conformal compactification hampakâneš-e hamdi Fr.: compactification conforme A mapping of an infinite → space-time onto a finite one that may make the far away parts of the former accessible to study. The technique invented by Penrose defines an equivalence class of → metrics, g_{ab} being equivalent to ĝ_{ab} = Ω^{2}g_{ab}, where Ω is a positive scalar function of the space-time that modifies the distance scale making the asymptotics of the physical metric accessible to study. → conformal; → compactification. |
conformal cyclic cosmology (CCC) keyhânšenâsi-ye carxe-yi-ye hamdis Fr.: cosmologie cyclique conforme A cosmological model developped by Roger Penrose and colleagues according which the Universe undergoes repeated cycles of expansion. Each cycle, referred to an aeon, starts from its own "→ big bang" and finally comes to a stage of accelerated expansion which continues indefinitely. There is no stage of contraction (to a "→ big crunch") in this model. Instead, each aeon of the universe, in a sense "forgets" how big it is, both at its big bang and in its very remote future where it becomes physically identical with the big bang of the next aeon, despite there being an infinite scale change involved, on passing from one aeon to the next. This model considers a conformal structure rather than a metric structure. Conformal structure may be viewed as family of metrics that are equivalent to one another via a scale change, which may vary from place to place. Thus, in conformal space-time geometry, there is not a particular metric g_{ab}, but an equivalence class of metrics where the metrics ğ_{ab} and g_{ab} are considered to be equivalent if there is a smooth positive scalar field Ω for which ğ_{ab} = Ω g_{ab} (R. Penrose, 2012, The Basic Ideas of Conformal Cyclic Cosmology). |
conformal geometry hendese-ye hamdis Fr.: géométrie conforme The study of the set of angle-preserving transformations on a space. |
conformal mapping hamtâyeš-e hamdis Fr.: application conforme A continuous mapping u = f(x) of a domain D in an n-dimensional Euclidean space (n≥ 2) into the n-dimensional Euclidean space is called conformal at a point x_{0}∈ D if it has the properties of constancy of dilation and preservation of angles at this point. |
confound pašidan Fr.: confondre 1) To throw into confusion or disorder. M.E. conf(o)unden, from Anglo-Fr. confoundre, O.Fr. confondre "throw into disorder, crush, ruin," from L. confundere "to confuse," literally "to pour together, mix, mingle," from → com- + fundere "to pour" Pašidan, from Tâti paši "confused, blend;" ultimately from Proto-Ir. *apa-šan-, from *šan- "to shake;" cf. Mid.Pers. pašân-, afšân- "to spread, scatter;" Pers. afšândan "to disperse;" Kurd. pašiv "messy, disordered," pašukân "to be agitated, distraught;" Gilaki voršin "messy, disordered;" see → chaos for other dialectal examples. |
confuse pašidan Fr.: confondre 1) To make unclear or indistinct. Back formation from confused, M.E. confused, from O.fr. confus, from L. confusus, p.p. of confundere, → confound. → confound. |
confused pašidé, pašnâk Fr.: confus 1) (Of a person) Unable to think clearly; perplexed. Past participle of → confuse. |
confusion pašeš Fr.: confusion 1) The act of confusing. Verbal noun of → confuse. |
confusion limit hadd-e pašeš Fr.: limite de confusion The → fluctuations of the → background → sky brightness below which astronomical → sources cannot be → detected individually. The confusion limit is reached when the density of sources brighter than the → root mean square → noise becomes high enough within the area of the resolution element. |
conglomerate hâgolemidan Fr.: conglomérer 1) Anything composed of heterogeneous materials or elements. From L. conglomeratus, p.p. of conglomerare "to roll together," from → com- "together" + glomerare "to gather into a ball," from glomus (genitive glomeris) "a ball," globus "globe;" PIE *gel- "to make into a ball." Hâgolemidan, from hâ- "together," → com-, + golem "glomus," → agglomerate. |
conglomeration hâgolemeš Fr.: conglomération 1) The act of conglomerating; the state of being conglomerated. Verbal noun of → conglomerate. |
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 → integer N 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. |
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