group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to...

Schanuel's lemma (projective modules) Schwartz–Zippel lemma Shapiro's lemma Stewart–Walker lemma (tensors) Whitehead's lemma (Lie algebras) Zariski's lemma Abhyankar's...

an American mathematician known for his eversion of the sphere and Shapiro's lemma. He also was the author of an article on Clifford algebras and periodicity...

f^{*}:{\text{Mod}}_{S}\leftrightarrows {\text{Mod}}_{R}:f_{*}.} This is related to Shapiro's lemma. Throughout this section, let R {\displaystyle R} and S {\displaystyle...

Eckmann–Hilton duality, the Eckmann–Hilton argument, and the Eckmann–Shapiro lemma are named after Eckmann. Eckmann's son is mathematical physicist Jean-Pierre...

Schanuel Schanuel's lemma Schur Schur's lemma says that the endomorphism ring of a simple module is a division ring. Shapiro Shapiro's lemma sheaf of modules...

theorem. Papakyriakopoulos proved Dehn's lemma using a tower of covering spaces. Soon afterwards Arnold Shapiro and J.H.C. Whitehead (1958) gave a substantially...

with f until N. Therefore, we can take h = φp and the lemma is proved. With the previous lemma, we can now prove the Kreisel-Lacombe-Shoenfield-Tseitin...

{2b}{a+c}}+3\geq 6,} which then simplifies to the final result. Titu's lemma, a direct consequence of the Cauchy–Schwarz inequality, states that for...

element under the ordering. The well-ordering theorem together with Zorn's lemma are the most important mathematical statements that are equivalent to the...

1925. Upon his death he was survived by four grandsons. Calderón–Zygmund lemma Marcinkiewicz–Zygmund inequality Paley–Zygmund inequality Calderón–Zygmund...

root theorem Algebraic element Horner scheme Rational root theorem Gauss's lemma (polynomial) Irreducible polynomial Eisenstein's criterion Primitive polynomial...

isoperimetric inequality Gibbs's inequality Hoeffding's inequality Hoeffding's lemma Jensen's inequality Khintchine inequality Kolmogorov's inequality Kunita–Watanabe...

of the likelihood-ratio test can be justified by the Neyman–Pearson lemma. The lemma demonstrates that the test has the highest power among all competitors...

by Jerzy Neyman and Egon Pearson, and it is used in the Neyman–Pearson lemma. It forms a major component in modern statistical hypothesis testing. However...

honours and reputations. Some are Kitaw Ejigu, Mulugeta Bekele, Aklilu Lemma, Gebisa Ejeta and Melaku Worede. Computer scientist Timnit Gebru, named...

exterior derivative is zero. From the latter, it follows by the Poincaré lemma that in a coordinate chart it is possible to introduce an electromagnetic...

Longwood city commission Kevin Beary, former Orange County Sheriff Dennis Lemma, Seminole County Sheriff Stephanie Murphy (D) U.S. Executive Branch officials...

generalization of Dehn's lemma. The loop theorem was first proven by Christos Papakyriakopoulos in 1956, along with Dehn's lemma and the Sphere theorem...

possible tests of a given size α. For example, according to the Neyman–Pearson lemma, the likelihood-ratio test is UMP for testing simple (point) hypotheses...

ISBN 0-521-79172-3. Reyzin, Leo. (Lecture Notes) Extractors and the Leftover Hash Lemma Distance and Similarity Measures (Wolfram Alpha) Dodge, Y. (2003) Oxford...

mathematician (Bony–Brezis theorem, Brezis–Gallouët inequality, Brezis–Lieb lemma). Claude Ferragne, 71, Canadian Olympic high jumper (1976). Hugh Geoghegan...

hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List of mathematical functions...

motion of nearby bits of matter. The equation is important as a fundamental lemma for the Penrose–Hawking singularity theorems and for the study of exact...

technique Bootstrapping (statistics) Bootstrapping populations Borel–Cantelli lemma Bose–Mesner algebra Box–Behnken design Box–Cox distribution Box–Cox transformation –...

= θ 0 + h {\displaystyle \theta =\theta _{0}+h} . By the Neyman–Pearson lemma, the most powerful test has the form L ( θ 0 + h ∣ x ) L ( θ 0 ∣ x ) ≥ K...

the existence of at least one such statement follows from the diagonal lemma, which says that for any sufficiently strong formal system and any statement...

of automorphic forms and L-functions by Ilya Piatetski-Shapiro. Development of Sauer–Shelah lemma and Shelah cardinal. Development of the first proof of...

0. Let M(r) be the maximum modulus of f on |z| = r < 1. By the Schwarz lemma | f ( z ) | ≤ δ ( r ) | z | , {\displaystyle |f(z)|\leq \delta (r)|z|,}...

Family-wise error rate Information retrieval performance measures Neyman–Pearson lemma Null hypothesis Probability of a hypothesis for Bayesian inference Precision...