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searching for Converse theorem 17 found (21 total)

alternate case: converse theorem

Entanglement-assisted classical capacity (361 words) [view diff] exact match in snippet view article find links to article

theorem is proved in two parts: the direct coding theorem and the converse theorem. The direct coding theorem demonstrates that the quantum mutual information
Haar measure (5,360 words) [view diff] no match in snippet view article find links to article
In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral
Ikeda lift (200 words) [view diff] exact match in snippet view article find links to article
form of degree 4. Here k=6 and n=2. Duke, W.; Imamoḡlu, Ö. (1996), "A converse theorem and the Saito-Kurokawa lift", International Mathematics Research Notices
Lie's third theorem (720 words) [view diff] exact match in snippet view article find links to article
infinitesimal variant of Cartan's theorem was essentially Lie's third converse theorem. In an influential book Jean-Pierre Serre called it the third theorem
Sharkovskii's theorem (1,346 words) [view diff] exact match in snippet view article find links to article
has period 3, would be a counterexample. Sharkovskii also proved the converse theorem: every upper set of the above order is the set of periods for some
Hervé Jacquet (745 words) [view diff] exact match in snippet view article find links to article
⁡ ( m ) {\displaystyle \operatorname {GL} (m)} , and the so-called converse theorem, which are crucial to our understanding of automorphic forms. A basic
Casey's theorem (1,114 words) [view diff] exact match in snippet view article find links to article
example, the shortest known proof: 411  of Feuerbach's theorem uses the converse theorem. Casey, J. (1866). "On the Equations and Properties: (1) of the System
Rankin–Selberg method (994 words) [view diff] exact match in snippet view article find links to article
Moeglin–Waldspurger, and was reverse-engineered to establish the "converse theorem". Symmetric square on GL(n) due to Shimura, and Gelbart–Jacquet (n = 2)
Sahlqvist formula (859 words) [view diff] exact match in snippet view article find links to article
[Modal Logic, Blackburn et al., Theorem 4.42]. But there is also a converse theorem, namely a theorem that states which first-order conditions are the
David Soudry (436 words) [view diff] exact match in snippet view article find links to article
JSTOR 2951840. MR 1454699. Jiang, Dihua; Soudry, David (2003). "The local converse theorem for SO(2n + 1) and applications". Annals of Mathematics. 157 (3): 743–806
Noisy-channel coding theorem (2,780 words) [view diff] exact match in snippet view article find links to article
arbitrarily low rates of error only if R is less than C. A strong converse theorem, proven by Wolfowitz in 1957, states that, P e ≥ 1 − 4 A n ( R − C
Gradient theorem (3,001 words) [view diff] no match in snippet view article find links to article
curve is dependent only on end points). This theorem has a powerful converse: Theorem —  If F is a path-independent vector field, then F is the gradient
Dihua Jiang (602 words) [view diff] exact match in snippet view article find links to article
Invent. Math. 149 (2002), no. 2, 225-265. With David Soudry: The local converse theorem for SO(2n+1) and applications. Annals of Mathematics (2) 157 (2003)
Normal distribution (22,331 words) [view diff] exact match in snippet view article find links to article
be no gain in considering their joint distribution. There is also a converse theorem: if in a sample the sample mean and sample variance are independent
Locally convex topological vector space (10,613 words) [view diff] no match in snippet view article find links to article
convex space has the HBEP. For complete metrizable TVSs there is a converse: Theorem (Kalton) — Every complete metrizable TVS with the Hahn-Banach extension
Banach space (17,214 words) [view diff] no match in snippet view article find links to article
{\displaystyle \ell ^{2}} is homogeneous, and Banach asked for the converse. Theorem — A Banach space isomorphic to all its infinite-dimensional closed
Metrizable topological vector space (10,643 words) [view diff] no match in snippet view article find links to article
convex space has the HBEP. For complete metrizable TVSs there is a converse: Theorem (Kalton) — Every complete metrizable TVS with the Hahn-Banach extension