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isothermal coordinates

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  • Isothermal coordinates — In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermalcoordinates, the Riemannian metric… …   Wikipedia

  • Fermi coordinates — In the mathematical theory of Riemannian geometry, Fermi coordinates are local coordinates that are adapted to a geodesic. More formally, suppose M is an n dimensional Riemannian manifold, gamma is a geodesic on M, and p is a point on gamma. Then …   Wikipedia

  • Hyperbolic coordinates — In mathematics, hyperbolic coordinates are a useful method of locating points in Quadrant I of the Cartesian plane :{(x, y) : x > 0, y > 0 } = Q !.Hyperbolic coordinates take values in :HP = {(u, v) : u in mathbb{R}, v > 0 }.For (x,y) in Q take… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… …   Wikipedia

  • Liouville's equation — For Liouville s equation in dynamical systems, see Liouville s theorem (Hamiltonian). In differential geometry, Liouville s equation, named after Joseph Liouville, is the equation satisfied by the conformal factor f of a metric f^2 (dx^2 + dy^2)… …   Wikipedia

  • Gaussian curvature — In differential geometry, the Gaussian curvature or Gauss curvature of a point on a surface is the product of the principal curvatures, κ 1 and κ 2, of the given point. It is an intrinsic measure of curvature, i.e., its value depends only on how… …   Wikipedia

  • Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… …   Wikipedia

  • Coordonnées isothermales — En mathématiques, et plus particulièrement en géométrie différentielle, les coordonnées isothermales d une variété riemannienne sont des coordonnées locales où le tenseur métrique est conforme à la métrique euclidienne. Cela signifie qu en… …   Wikipédia en Français

  • Gibbs free energy — Thermodynamics …   Wikipedia

  • Molecular dynamics — (MD) is a computer simulation of physical movements of atoms and molecules. The atoms and molecules are allowed to interact for a period of time, giving a view of the motion of the atoms. In the most common version, the trajectories of molecules… …   Wikipedia

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