theory), Hadwiger's theorem characterises the valuations on convex bodies in R n . {\displaystyle \mathbb {R} ^{n}.} It was proved by Hugo Hadwiger. Let K...

There are several conjectures known as the Hadwiger conjecture or Hadwiger's conjecture. They include: Hadwiger conjecture (graph theory), a relationship...

volume of the ( n − j ) {\displaystyle (n-j)} -dimensional unit ball. Hadwiger's theorem asserts that every valuation on convex bodies in R n {\displaystyle...

Finsler–Hadwiger theorem is statement in Euclidean plane geometry that describes a third square derived from any two squares that share a vertex. The theorem...

was for more than forty years a professor of mathematics at Bern. Hadwiger's theorem in integral geometry classifies the isometry-invariant valuations...

"Hadwiger's Principal Theorem – MathWorld". Retrieved 2009-08-28. Brauer, R.; Coxeter, Harold Scott MacDonald (1940). "A generalization of theorems of...

Descartes' theorem that the "total defect" of a polyhedron, measured in full circles, is the Euler characteristic of the polyhedron. Hadwiger's theorem characterizes...

Robertson–Seymour theorem that F k {\displaystyle {\mathcal {F}}_{k}} can be characterized by a finite set of forbidden minors. Hadwiger's conjecture is that...

geometry, the mean width is a measure of the "size" of a body; see Hadwiger's theorem for more about the available measures of bodies. In n {\displaystyle...

In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map...

geometry) Fáry's theorem (graph theory) Fenchel's duality theorem (convex analysis) Fenchel–Moreau theorem (mathematical analysis) Hadwiger's theorem (geometry...

graph. Wagner's theorem, which characterizes the planar graphs by their forbidden minors, implies that the planar graphs have Hadwiger number at most four...

Convolution Radon transform Buffon's needle Hadwiger's theorem mean width intrinsic volumes Stokes theorem Differentiation under the integral sign Contour...

problems in mathematics In geometric graph theory, the Hadwiger–Nelson problem, named after Hugo Hadwiger and Edward Nelson, asks for the minimum number of...

with the original body. Hadwiger's theorem - a theorem that characterizes the valuations on convex bodies in Rn. Helly's theorem Hyperplane - a subspace...

}(M)^{G*},} then k G = m G ∗ {\displaystyle k_{G}=m_{G}^{*}} : . Hadwiger's theorem – Theorem in integral geometry Integral geometry – theory of measures on...

interesting theorems in this form of integral geometry is Hadwiger's theorem in the Euclidean setting. Subsequently Hadwiger-type theorems were established...

plane, is named after Finsler and his co-author Hugo Hadwiger, as is the Finsler–Hadwiger theorem on a square derived from two other squares that share...

motion Donsker's theorem Empirical process Wiener equation Wiener sausage Buffon's needle Integral geometry Hadwiger's theorem Wendel's theorem Luck Game of...

quadrilateral has a midsquare can be seen as an instance of the Finsler–Hadwiger theorem. The two foci and the two diagonal midpoints of any midsquare quadrilateral...

Hadwiger (1937), who also published in the same paper the Finsler–Hadwiger theorem on a square derived from two other squares that share a vertex. List...

manifold – Generalization of Riemannian manifolds Hadwiger's theorem – Theorem in integral geometry Hugo Hadwiger – Swiss mathematician (1908–1981) Locally convex...

to as an algebra of sets Hadwiger's theorem – Theorem in integral geometry Hahn decomposition theorem – Measurability theorem Invariant measure – Concept...

with side length 2 d {\displaystyle 2d} . Mathematics portal Finsler–Hadwiger theorem on a square derived from two squares sharing a vertex Midsquare quadrilateral...

In geometry, the Beckman–Quarles theorem states that if a transformation of the Euclidean plane or a higher-dimensional Euclidean space preserves unit...

Wiener equation Boolean model Buffon's needle Geometric probability Hadwiger's theorem Integral geometry Random coil Stochastic geometry Vitale's random...

this, in itself, does not represent a rigorous proof of the isoperimetric theorem (see external links). The solution to the isoperimetric problem is usually...

structure theorem, according to which the graphs that do not have H as a minor may be formed by gluing together simpler pieces, and Hadwiger's conjecture...

the four-color theorem and Dilworth's theorem from finite graphs and partially ordered sets to infinite ones, and reducing the Hadwiger–Nelson problem...

based on properties that it shares with a different graph parameter, the Hadwiger number. Later it was again rediscovered by Neil Robertson and Paul Seymour (1984)...