equivalent) formulations of the lemma in the literature. The one given here is due to Gale, Kuhn and Tucker (1951). Farkas' lemma — Let A ∈ R m × n {\displaystyle...
20 KB (2,986 words) - 12:21, 28 January 2024
him: Borel algebra Borel's lemma Borel's law of large numbers Borel measure Borel–Kolmogorov paradox Borel–Cantelli lemma Borel–Carathéodory theorem Heine–Borel...
13 KB (1,209 words) - 06:24, 14 August 2024
group Hn-1(∂M) by de Rham's theorem. The BFPT can be proved using Sperner's lemma. We now give an outline of the proof for the special case in which f is...
61 KB (8,376 words) - 00:56, 20 June 2024
Lloyd Shapley (category John von Neumann Theory Prize winners)
Behavior." Albert Tucker's comment on L.S.Shapley's work. In 1995, Albert W. Tucker mentioned in his passing that Shapley was second only to Von Neumann as the...
17 KB (1,486 words) - 04:17, 20 July 2024
elements of S {\displaystyle S} (see the convex hull page for details). Lemma — If q 1 , . . . , q N ∈ R d {\displaystyle q_{1},...,q_{N}\in \mathbb {R}...
14 KB (2,153 words) - 21:04, 8 July 2024
George Dantzig (category John von Neumann Theory Prize winners)
2019-03-24. Dantzig, George; Wald, Abraham (1951). "On the Fundamental Lemma of Neyman and Pearson". The Annals of Mathematical Statistics. 22: 87–93...
25 KB (2,338 words) - 01:51, 20 June 2024
technique Bootstrapping (statistics) Bootstrapping populations Borel–Cantelli lemma Bose–Mesner algebra Box–Behnken design Box–Cox distribution Box–Cox transformation –...
87 KB (8,280 words) - 14:50, 5 July 2024
their novel mathematics: Baire category from general topology and Sard's lemma from differential topology. Other economists associated with the use of...
134 KB (13,620 words) - 21:44, 28 July 2024
limits of logic". Plus. University of Cambridge. Retrieved November 1, 2020. Tucker McElroy (2005). A to Z of Mathematicians. Infobase Publishing. p. 118....
47 KB (5,277 words) - 16:43, 16 August 2024
algebra, measure, set, space, summation, Borel's lemma, paradox – Émile Borel Borel–Cantelli lemma – Émile Borel and Francesco Paolo Cantelli Borel–Carathéodory...
72 KB (6,829 words) - 04:03, 26 July 2024
mathematician who studied the stability of differential equations. Massera's Lemma solves the equilibrium stability problem in nonlinear differential equations...
178 KB (428 words) - 02:31, 18 August 2024
objective function and constraints are differentiable Farkas' lemma Karush–Kuhn–Tucker conditions (KKT) — sufficient conditions for a solution to be optimal...
70 KB (8,336 words) - 05:14, 24 June 2024
R. Tyrrell Rockafellar (category John von Neumann Theory Prize winners)
applications) Carathéodory's theorem (convex hull) Lemma of Farkas Monotropic programming Tucker, Albert W. Set-valued analysis Pompeiu–Hausdorff distance...
20 KB (2,040 words) - 11:51, 28 June 2024
Gives categorical semantics. Cardelli, Luca (1996). "Type Systems". In Tucker, Allen B. (ed.). The Computer Science and Engineering Handbook. CRC Press...
59 KB (7,869 words) - 13:25, 12 August 2024
box Lorenz attractor, 2002 – 14th of Smale's problems proved by Warwick Tucker using interval arithmetic 17-point case of the Happy Ending problem, 2006...
18 KB (1,959 words) - 05:31, 17 May 2024
expectations developed in Book VII, and the lemmas of Pappus, is given in Latin. The commentary of Eutocius, the lemmas of Pappus, and two related treatises...
73 KB (10,056 words) - 18:49, 23 May 2024
Laboratories Mihalis Yannakakis Andrew Chi-Chih Yao John Yen Nobuo Yoneda – Yoneda lemma, Yoneda product, ALGOL, IFIP WG 2.1 member Edward Yourdon – Structured Systems...
54 KB (5,157 words) - 04:05, 29 July 2024
California Died: G. N. Watson, 79, English mathematician best known for Watson's lemma An 8.7 magnitude earthquake struck Alaska's Rat Islands at 7:01 p.m. local...
117 KB (14,969 words) - 03:48, 16 July 2024
Mostowski, Polish mathematician, developed the set theory Mostowski collapse lemma; in Lemberg, Austria-Hungary (d. 1975) Prince Ernest Augustus married Princess...
73 KB (8,265 words) - 17:52, 28 July 2024