In mathematics, and more particularly in polyhedral combinatorics, Eberhard's theorem partially characterizes the multisets of polygons that can form the...

graphs of these polyhedra, allowing other results on them, such as Eberhard's theorem on the realization of polyhedra with given types of faces, to be proven...

Victor Guido Feodor Eberhard (17 January 1861 – 28 April 1927) was a blind German geometer, known for Eberhard's theorem partially characterizing the multisets...

obey the rules of quantum field theory. In 1978, Phillippe H. Eberhard's paper, Bell's Theorem and the Different Concepts of Locality, rigorously demonstrated...

on the multisets of face sizes that can be realized as polyhedra (Eberhard's theorem) and on the combinatorial types of polyhedra that can have inscribed...

In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some...

theorem holds are conservative systems; thus all ergodic systems are conservative. More precise information is provided by various ergodic theorems which...

§3.2 normal tiling, Euler's theorem for tilings, §3.7 periodic tiling, §3.8 Heesch's problem, §3.9 Eberhard's theorem, §3.10 Karl Reinhardt 4 The topology...

In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace...

of the English alphabet. Grünbaum, B. (1968), "Some analogues of Eberhard's theorem on convex polytopes", Israel Journal of Mathematics, 6 (4): 398–411...

In differential topology, the transversality theorem, also known as the Thom transversality theorem after French mathematician René Thom, is a major result...

In mathematics, the uniformization theorem states that every simply connected Riemann surface is conformally equivalent to one of three Riemann surfaces:...

The Erdős–Gallai theorem is a result in graph theory, a branch of combinatorial mathematics. It provides one of two known approaches to solving the graph...

in which case the inverse is also holomorphic (e.g., see Gunning 1990, Theorem I.11 or Corollary E.10 pg. 57). If there exists a biholomorphism ϕ : U...

the system are functionals of the density. The theorem was published by Erich Runge [de] and Eberhard K. U. Gross [de] in 1984. As of September 2021,...

to analysis in proof theory, such as the Löwenheim–Skolem theorem and the compactness theorem. First-order logic is the standard for the formalization...

the monotonically decreasing sequence S2m+1, the monotone convergence theorem then implies that this sequence converges as m approaches infinity. Similarly...

space Rising sun lemma Denjoy–Riesz theorem F. and M. Riesz theorem Riesz representation theorem Riesz-Fischer theorem Riesz groups Riesz's lemma Riesz projector...

theory, Hall-type theorems for hypergraphs are several generalizations of Hall's marriage theorem from graphs to hypergraphs. Such theorems were proved by...

integrable function. In the latter case, the Gelfand–Naimark representation theorem is one avenue in the development of spectral theory for normal operators...

The Sylvester–Gallai theorem in geometry states that every finite set of points in the Euclidean plane has a line that passes through exactly two of the...

unitriangular matrices on the unit tangent bundle G / Γ. The Ambrose-Kakutani theorem expresses every ergodic flow as the flow built from an invertible ergodic...

known for, amongst other things, his contributions to the Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, Siegel's lemma and the Siegel...

second-order parabolic partial differential equations and the Newlander–Nirenberg theorem in complex geometry. He is regarded as a foundational figure in the field...

latched onto a topic, known as "Bell's theorem," and rescued it from a decade of unrelenting obscurity. The theorem ... stipulated that quantum objects that...

Physique Colloques. C22: 41–62. Bibcode:1988nbpw.conf..245B. Eberhard, P. H. (1977). "Bell's theorem without hidden variables". Il Nuovo Cimento B. Series 11...

Gauss produced the second and third complete proofs of the fundamental theorem of algebra. In number theory, he made numerous contributions, such as the...

with Terence Tao, they proved a structure theorem for approximate groups, generalising the Freiman-Ruzsa theorem on sets of integers with small doubling...

conjectured that equality holds. This was proved by Eberhard, Green, and Manners. Erdős–Szemerédi theorem Sum-free sequence Green, Ben (November 2004). "The...

preparation theorem. A generalization of this theorem using the same method as Hartogs was proved in 2007. From Hartogs's extension theorem the domain...