In mathematics, integral geometry is the theory of measures on a geometrical space invariant under the symmetry group of that space. In more recent times...

Santaló also collaborated on integral geometry. Santaló wrote textbooks in Spanish on non-Euclidean geometry, projective geometry, and tensors. Luis Santaló...

analysis topics List of integrals List of integrals of exponential functions List of integrals of hyperbolic functions List of integrals of irrational functions...

Gelfand–Fuchs cohomology of Lie algebras; Gelfand–Kirillov dimension; integral geometry; combinatorial definition of the Pontryagin class; Coxeter functors;...

computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory...

integral centered at x over the orbit through y. As above, g is a group element that represents the coset x. A central problem of integral geometry is...

Stochastic Geometry and Integral Geometry where he created a new branch, combinatorial integral geometry. The subject of combinatorial integral geometry received...

geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie sphere geometry Non-Euclidean geometry Noncommutative...

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements...

In integral geometry (otherwise called geometric probability theory), Hadwiger's theorem characterises the valuations on convex bodies in R n . {\displaystyle...

groups of differential fields. Differential geometry a form of geometry that uses techniques from integral and differential calculus as well as linear...

mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations...

doi:10.1137/0111066. Schneider, R.; Weil, W. (2008). Stochastic and Integral Geometry. Probability and Its Applications. Springer. doi:10.1007/978-3-540-78859-1...

powerful mathematical tools that have applications to differential and integral geometry, nonlinear differential equations and representation theory, and in...

higher-dimensional Euclidean spaces and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose...

John transform) is an integral transform introduced by Fritz John in 1938 that is one of the cornerstones of modern integral geometry. It is very closely...

In mathematics, the Pompeiu problem is a conjecture in integral geometry, named for Dimitrie Pompeiu, who posed the problem in 1929, as follows. Suppose...

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds....

(1826–1915), (also Cauchy-Crofton formula) is a classic result of integral geometry relating the length of a curve to the expected number of times a "random"...

Euler calculus is a methodology from applied algebraic topology and integral geometry that integrates constructible functions and more recently definable...

Algebraic geometry Projective geometry Affine geometry Non-Euclidean geometry Convex geometry Discrete geometry Integral geometry Euclidean geometry Finite...

problem in geometric probability to be solved; it can be solved using integral geometry. The solution for the sought probability p, in the case where the...

Diophantine geometry of curves of genus 0 to degrees 1 and 2 (conic sections) occurs in Chapter 17, as does Mordell's conjecture. Siegel's theorem on integral points...

term for the computation of areas and is thus used for computation of integrals. The word is derived from the Latin quadratus meaning "square". The reason...

Discrete geometry Finite geometry Galois geometry General topology Geometric topology Integral geometry Noncommutative geometry Non-Euclidean geometry Projective...

nilpotent elements and idempotent elements in any ring are integral over Z. In geometry, integral closure is closely related with normalization and normal...

In 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...

The integral symbol (see below) is used to denote integrals and antiderivatives in mathematics, especially in calculus. ∫ (Unicode), ∫ {\displaystyle...

the fields of differential and integral geometry. Blaschke was the son of mathematician Josef Blaschke, who taught geometry at the Landes Oberrealschule...

Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic...