In mathematics, Dvoretzky's theorem is an important structural theorem about normed vector spaces proved by Aryeh Dvoretzky in the early 1960s, answering...

University to achieve this distinction. Dvoretzky's son Gideon was killed in the 1973 Yom Kippur War. Dvoretzky had visiting appointments at a number of...

Institute of Science Moshe Dvoretzky (1922–1988), Bulgarian actor Dvoretzky's theorem This page lists people with the surname Dvoretzky. If an internal link...

unchanged under arbitrary rotations of space around the origin. By Dvoretzky's theorem, every finite-dimensional normed vector space has a high-dimensional...

{\displaystyle X} with constant distortion? The answer is given by Dvoretzky's theorem. In category theory, there is no satisfactory and generally accepted...

In the theory of probability and statistics, the Dvoretzky–Kiefer–Wolfowitz–Massart inequality (DKW inequality) provides a bound on the worst case distance...

rests upon Dvoretzky's theorem about Euclidean sections of high-dimensional centrally symmetric convex bodies. In other words, Dvoretzky's theorem states...

proof of Dvoretzky's theorem. All classical statistical physics is based on the concentration of measure phenomena: The fundamental idea (‘theorem’) about...

method, although André did not use any reflections. Bertrand's ballot theorem is related to the cycle lemma. They give similar formulas, but the cycle...

{\displaystyle k} . more specifically, according to a variation of Dvoretzky's theorem by Alon & Milman (1983), every d {\displaystyle d} -dimensional normed...

additional arguments. All known proofs use probabilistic arguments. Dvoretzky's theorem which states that high-dimensional convex bodies have ball-like slices...

theory of probability, the Glivenko–Cantelli theorem (sometimes referred to as the fundamental theorem of statistics), named after Valery Ivanovich Glivenko...

direction of Boris Levin. In a 1971 paper, Milman gave a new proof of Dvoretzky's theorem, stating that every convex body in dimension N has a section of dimension...

The Dubins–Spanier theorems are several theorems in the theory of fair cake-cutting. They were published by Lester Dubins and Edwin Spanier in 1961. Although...

and unconditional convergence/Dvoretzky–Rogers theorem – Mode of convergence of an infinite series Riemann series theorem – Unconditionally convergent...

{\displaystyle \{e_{n}\}_{n=1}^{\infty }} is an orthonormal basis. A theorem of A. Dvoretzky and C. A. Rogers asserts that every infinite-dimensional Banach...

1 to that underlying distribution, according to the Glivenko–Cantelli theorem. A number of results exist to quantify the rate of convergence of the empirical...

Cartan–Hadamard theorem Collapsing manifold Lévy–Gromov inequality Taubes's Gromov invariant Mostow rigidity theorem Ramsey–Dvoretzky–Milman phenomenon...

including bootstrap approaches and those that rely on the central limit theorem, CDF-based bounds are valid for finite sample sizes. And unlike bounds...

Szegő inequality Three spheres inequality Trace inequalities Trudinger's theorem Turán's inequalities Von Neumann's inequality Wirtinger's inequality for...

University (dissertation: Extension of Compact Operators, advisors: Aryeh Dvoretzky, Branko Grünbaum). He worked as a postdoc at Yale University and the University...

One of the theorems proved by Ramsey in his 1928 paper On a Problem of Formal Logic now bears his name (Ramsey's theorem). While this theorem is the work...

Spaces, Selection Theorems and Finite-dimensional Convex Geometry. In the theory of Banach spaces and summability, he proved the Dvoretzky–Rogers lemma and...

Central limit theorem Central limit theorem (illustration) – redirects to Illustration of the central limit theorem Central limit theorem for directional...

One of his results is the strong converse to Claude Shannon's coding theorem. While Shannon could prove only that the block error probability can not...

asymptotic statistics, proved an early version of the Bernstein–von Mises theorem on the irrelevance of the (regular) prior distribution on the limiting...

Pentagram map Simplicial sphere Star coloring Star polygon Grünbaum's theorem Grünbaum–Rigby configuration Choi, Rose (September 18, 2018), Branko Grünbaum...

but the converse only holds in finite-dimensional Banach spaces (theorem of Dvoretzky & Rogers (1950)). Conditionally convergent series can be considered...

numbers can be interpreted as a special case of the Bertrand's ballot theorem. Specifically, C n {\displaystyle C_{n}} is the number of ways for a candidate...

Klein in "Management Science", Vol. 4(4), 1958. On Dvoretzky's Stochastic Approximation Theorem with J. Sacks, in "The Annals of Mathematical Statistics"...