English-Finnish mathematical dictionary. 2011.

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  • Imbedding — Imbed Im*bed , v. t. [imp. & p. p. {Imbedded}; p. pr. & vb. n. {Imbedding}.] [Pref. im in + bed. Cf. {Embed}.] To sink or lay, as in a bed; to deposit in a partly inclosing mass, as of clay or mortar; to cover, as with earth, sand, etc. [1913… …   The Collaborative International Dictionary of English

  • imbedding — /im bed ing/, n. Math. embedding. * * * …   Universalium

  • imbedding — v. insert, set firmly in place; surround tightly, enclose (also embed) …   English contemporary dictionary

  • imbedding — /im bed ing/, n. Math. embedding …   Useful english dictionary

  • Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

  • Filling radius — In Riemannian geometry, the filling radius of a Riemannian manifold X is a metric invariant of X . It was originally introduced in 1983 by Mikhail Gromov, who used it to prove his systolic inequality for essential manifolds, vastly generalizing… …   Wikipedia

  • Riemannian circle — In metric space theory and Riemannian geometry, the term Riemannian circle refers to a great circle equipped with its great circle distance. In more detail, the term refers to the circle equipped with its intrinsic Riemannian metric of a compact… …   Wikipedia

  • Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… …   Wikipedia

  • Trudinger's theorem — In mathematical analysis, Trudinger s theorem or the Trudinger inequality (also sometimes called the Moser–Trudinger inequality) is a result of functional analysis on Sobolev spaces. It is named after Neil Trudinger (and Jürgen Moser). It… …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

  • Pu's inequality — [ Roman Surface representing RP2 in R3] In differential geometry, Pu s inequality is an inequality proved by P. M. Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2.tatementA student of Charles Loewner s, P.M.… …   Wikipedia

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