additive theorem
21Earnshaw's theorem — states that a collection of point charges cannot be maintained in a stable stationary equilibrium configuration solely by the electrostatic interaction of the charges. This was first proven by Samuel Earnshaw in 1842. It is usually referenced to… …
22Bochner's theorem — In mathematics, Bochner s theorem characterizes the Fourier transform of a positive finite Borel measure on the real line. Background Given a positive finite Borel measure μ on the real line R, the Fourier transform Q of μ is the continuous… …
23Mitchell's embedding theorem — Mitchell s embedding theorem, also known as the Freyd–Mitchell theorem, is a result stating that every abelian category admits a full and exact embedding into the category of R modules. This allows one to use element wise diagram chasing proofs… …
24Vitali–Hahn–Saks theorem — In mathematics, the Vitali–Hahn–Saks theorem states that given mu;n for each integer n >0, a countably additive function defined on a fixed sigma algebra Sigma;, with values in a given Banach space B , such that :lim {n ightarrow infty} mu n(X)… …
25Runge-Gross-Theorem — Das Runge Gross Theorem (nach Erich Runge und Eberhard K. U. Gross) ist die formale Grundlage der zeitabhängigen Dichtefunktionaltheorie und zeigt, dass für ein Vielteilchensystem zu jedem Ausgangszustand (Wellenfunktion zum Zeitpunkt t = t0)… …
26Hadwiger's theorem — In integral geometry (otherwise called geometric probability theory), Hadwiger s theorem states that the space of measures (see below) defined on finite unions of compact convex sets in R n consists of one measure that is homogeneous of degree k… …
27Kramers-Theorem — Das nach Hendrik Anthony Kramers benannte Kramers Theorem, auch mit dem Namen Kramers Entartung bezeichnet, ist eine theoretische, quantenmechanische Aussage zum Entartungsgrad der Energie Zustände eines Systems aus mehreren Spin 1/2 Teilchen… …
28Hahn embedding theorem — In mathematics, the Hahn embedding theorem states that every totally ordered abelian group can be embedded as a subgroup of the additive group of a real closed field. It is therefore a generalization of Hölder s theorem …
29Freiman's theorem — In mathematics, Freiman s theorem is a combinatorial result in number theory. In a sense it accounts for the approximate structure of sets of integers that contain a high proportion of their internal sums, taken two at a time. The formal… …
30Erdős–Kac theorem — In number theory, the Erdős–Kac theorem, named after Paul Erdős and Mark Kac, states that if omega;( n ) is the number of distinct prime factors of n , then for any fixed a < b,:lim {N ightarrow infty} frac {1}{N} left | left{ n leq N : a le… …
