volume preserving
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Volume form — In mathematics, a volume form is a nowhere zero differential n form on an n manifold. Every volume form defines a measure on the manifold, and thus a means to calculate volumes in a generalized sense. A manifold has a volume form if and only if… … Wikipedia
Format-preserving encryption — In cryptography, format preserving encryption (FPE) refers to encrypting in such a way that the output (the ciphertext) is in the same format as the input (the plaintext). The meaning of format varies. Typically only finite domains are discussed … Wikipedia
List of United States Supreme Court cases, volume 313 — This is a list of all the United States Supreme Court cases from volume 313 of the United States Reports :* Maguire v. Commissioner , ussc|313|1|1941 * Helvering v. Gambrill , ussc|313|11|1941 * Helvering v. Campbell , ussc|313|15|1941 * NLRB v.… … Wikipedia
Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… … Wikipedia
Poincaré recurrence theorem — In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence.… … Wikipedia
Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… … Wikipedia
Nonsqueezing theorem — The nonsqueezing theorem is one of the most important theorems in symplectic geometry. It was first proven by Mikhail Gromov in 1985.[1] The theorem states that one cannot embed a sphere into a cylinder via a symplectic map unless the radius of… … Wikipedia
Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… … Wikipedia
Symplectic vector space — In mathematics, a symplectic vector space is a vector space V equipped with a nondegenerate, skew symmetric, bilinear form omega; called the symplectic form. Explicitly, a symplectic form is a bilinear form omega; : V times; V rarr; R which is *… … Wikipedia
Milman's reverse Brunn-Minkowski inequality — In mathematics, Milman s reverse Brunn Minkowski inequality is a result due to Vitali Milman that provides a reverse inequality to the famous Brunn Minkowski inequality for convex bodies in n dimensional Euclidean space R n . At first sight, such … Wikipedia
Milman's reverse Brunn–Minkowski inequality — In mathematics, Milman s reverse Brunn Minkowski inequality is a result due to Vitali Milman that provides a reverse inequality to the famous Brunn Minkowski inequality for convex bodies in n dimensional Euclidean space Rn. At first sight, such a … Wikipedia