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Rho Ophiuchi Cloud abr-e rho Mâr-afsâ Fr.: Nuage de rho Ophiuchi A complex region of molecular and dust clouds containing emission and reflection nebulae near the star ρ Oph in the constellation → Ophiuchus. It is one of the closest star forming regions, some 400 light-years distant. Recent studies using the latest X-ray and infrared observations reveal more than 300 young stellar objects within the large central cloud. Their median age is only 300,000 years. |
rhodium rodiom (#) Fr.: rhodium A metallic chemical element; symbol Rh. Atomic number 45; atomic weight 102.9055; melting point about 1,966°C; boiling point 3,727±100°C; specific gravity 12.41 at 20°C. Rhodium was discovered in 1803 by the English chemist and physicist William Hyde Wollaston during experiments on crude platinum ore. The name derives from Gk. rhodon "rose" because of the "rose color of dilute solutions of its salts." |
rhombic lowzik Fr.: rhombique Shaped like a rhombus. |
rhombus lowzi (#) Fr.: losange A quadrilateral having all sides equal and all angles oblique. L.L. rhombus, from Gk. rhombos "rhombus, spinning top," from rhembesthai "to spin, whirl." Lowzi, resembling a lowz "almond." |
rhythm ritm (#) Fr.: rythme 1) An ordered recurrent alternation of strong and weak elements in the
flow of sound and silence in speech; a particular example or form of rhythm. From L. rhythmus "movement in time," from Gk. rhythmos "measured flow or movement, rhythm; proportion, symmetry; arrangement," related to rhein "to flow," from PIE root *sreu- "to flow" Ritm, loan from Fr. |
Ricci scalar marpeli-ye Ricci Fr.: scalaire de Ricci The simplest curvature invariant for a → Riemannian manifold. It is derived from the → Ricci tensor R_{μν} ≡ R^{α}_{μαν} by contracting indices. Taking the trace of the Ricci tensor gives the Ricci scalar: R ≡ R_{μν}g^{μnu;} = R^{μ}_{ν} = R^{αμ}_{αμ}. Also called → scalar curvature. → Ricci tensor; → scalar. |
Ricci tensor tânsor-e Ricci Fr.: tenseur de Ricci A → rank 2, → symmetric tensor R_{μν} that is a contraction of the → Riemann curvature tensor R^{λ}_{μνλ}. More specifically, R_{μν} ≡ Σ (λ) R^{λ}_{μνκ} = R^{λ}_{μνκ}. Closely related to the Ricci tensor is the → Einstein tensor, which plays an important role in the theory of → general relativity. Named after the Italian mathematician Gregorio Ricci-Curbastro (1853-1925); → tensor. |
rich por-, pordâr Fr.: riche Having large amounts of something specified. → metal-rich environment, → rich cluster; → enrich, → enrichment, → richness, → poor. M.E., from O.E. rice "wealthy, powerful" (cf. Du. rijk, Ger. reich "rich"), from PIE base *reg- "move in a straight line," hence, "to direct, rule" (cf. Mod.Pers./Mid.Pers. râst "right, straight;" O.Pers. rāsta- "straight, true," rās- "to be right, straight, true;" Av. rāz- "to direct, put in line, set," razan- "order;" Skt. raj- "to direct, stretch," rjuyant- "walking straight;" Gk. orektos "stretched out;" L. regere "to lead straight, guide, rule," p.p. rectus "right, straight;" Ger. recht; E. right). Por "full, much, very, too much" (Mid.Pers. purr "full;" O.Pers. paru- "much, many;" Av. parav-, pauru-, pouru-, from par- "to fill;" PIE base *pelu- "full," from *pel- "to be full;" cf. Skt. puru- "much, abundant;" Gk. polus "many," plethos "great number, multitude;" O.E. full); pordâr, literally "having much possession," from por + dâr "having, possessor," from dâštan "to have, to possess," → property. |
rich cluster xuše-ye pordâr Fr.: amas riche A → galaxy cluster with a particularly large number of galaxies. |
Richardson cascade peyšâr-e Richardson Fr.: cascade de Richarson Same as → energy cascade Named after L. F. Richardson (1922), Weather Prediction by Numerical Process (Cambridge Univ. Press); → cascade. |
Richardson criterion sanjidâr-e Richardson Fr.: critère de Richardson A condition for the onset of → instability in multilayer fluids which compares the balance between the restoring force of → buoyancy and the destabilizing effect of the → shear. Named after the British meteorologist Lewis Fry Richardson (1881-1953), who first arrived in 1920 to the dimensionless ratio now called → Richardson number. The first formal proof of the criterion, however, came four decades later for → incompressible flows (Miles, J. W. 1961, J. Fluid Mech., 10, 496; Howard, L. N., 1961, J. Fluid Mech., 10, 509). Its extension to → compressible flows was demonstrated subsequently (Chimonas 1970, J. Fluid Mech., 43, 833); → criterion. |
Richardson number adad-e Richardson Fr.: nombre de Richardson A dimensionless number which is used according to the → Richardson criterion to describe the condition for the → stability of a flow in the presence of vertical density stratification. If the → shear flow is characterized by linear variation of velocity and density, with velocities and densities ranging from U_{1} to U_{2} and ρ_{1} to ρ_{2} (ρ_{2}>ρ_{1}), respectively, over a depth H, then the Richardson number is expressed as: Ri = (ρ_{2} - ρ_{1}) gH / ρ_{0} (U_{1} - U_{2})^{2}. If Ri < 0.25, somewhere in the flow turbulence is likely to occur. For Ri > 0.25 the flow is stable. → Richardson criterion; → number. |
richness pordâri Fr.: richesse The property of being very abundant. |
richness class rade-ye pordâri Fr.: classe de richesse A classification of → galaxy clusters into six groups (0 to 5), as in the → Abell catalog. It depends on the number of galaxies in a given cluster that lie within a → magnitude range m_{3} to m_{3+2}, where m_{3} is the magnitude of the 3rd brightest member of the cluster. The first group contains 30-49 galaxies and the last group more than 299 galaxies. |
riddle kervas (#) Fr.: énigme, devinette 1) A question or statement so framed as to exercise one's ingenuity in answering it
or discovering its meaning; conundrum. M.E. redel, redels, from O.E. rædels "riddle; counsel; conjecture; imagination;" cf. O.Fr. riedsal "riddle," O.Sax. radisli, M.Du. raetsel, Du. raadsel, O.H.G. radisle, Ger. Rätsel "riddle." Kervas "riddle, puzzle" [Dehxodâ], Kurd. karvâs "riddle," of unknown origin. |
ridge ruk Fr.: faîte, dorsale A long, narrow elevation of the Earth's surface, generally sharp crested with steep sides, either independently or as part of a larger mountain or hill. See also: → submarine ridge, → wrinkle ridge, → mid-Atlantic ridge. M.E. rigge; O.E. hrycg "spine, back of a man or beast" (cf. O.Fris. hregg, Du. rug, O.H.G. hrukki, Ger. Rücken "the back"). Ruk, from dialectal Tabari ruk "mountain, ridge;" cf. (Dehxodâ) raš "hill." |
Riemann curvature tensor tânsor-e xamidegi-ye Riemann Fr.: tenseur de courbure de Riemann A 4th → rank tensor that characterizes the deviation of the geometry of space from the Euclidean type. The curvature tensor R^{λ}_{μνκ} is defined through the → Christoffel symbols Γ^{λ}_{μν} as follows: R^{λ}_{μνκ} = (∂Γ^{λ}_{μκ})/(∂x^{ν}) - (∂Γ^{λ}_{μν})/(∂x^{κ}) + Γ^{η}_{μκ}Γ^{λ}_{ην} - Γ^{η}_{μν}Γ^{λ}_{ηκ}. → Riemannian geometry; → curvature; → tensor. |
Riemann problem parâse-ye Riemann Fr.: problème de Riemann The combination of a → partial differential equation and a → piecewise constant → initial condition. The Riemann problem is a basic tool in a number of numerical methods for wave propagation problems. The canonical form of the Riemann problem is: ∂u/∂t + ∂f(u)/∂x = 0, x ∈ R, t > 0, u(x,0) = u_{l} if x < 0, and u(x,0) = u_{r} if x > 0 . → Riemann's geometry; → problem. |
Riemann's geometry hendese-ye Riemann Fr.: géométrie de Riemann Same as → Riemannian geometry. → Riemannian; → geometry. |
Riemannian Riemanni (#) Fr.: riemannien Of or pertaining to Georg Friedrich Bernhard Riemann (1826-1866) or his mathematics findings. → Riemannian geometry, → Riemannian manifold, → Riemannian metric, → Riemann problem, → Riemann curvature tensor. After the German mathematician Georg Friedrich Bernhard Riemann (1826-1866), the inventor of the elliptic form of → non-Euclidean geometry, who made important contributions to analysis and differential geometry, some of them paving the way for the later development of → general relativity. |
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