Asymptotic geometry, also known as asymptotic geometric analysis or high-dimensional geometry, is a field of mathematics that investigates the geometric...

In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It...

Wentworth, D.E. Smith Analytic geometry (1922) p. 271 P. Frost Solid geometry (1875) This has a more general treatment of asymptotic surfaces. Wikimedia Commons...

Edmund Landau, and others, collectively called Bachmann–Landau notation or asymptotic notation. The letter O was chosen by Bachmann to stand for Ordnung, meaning...

mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...

conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry is...

citizenship in 1992. Gromov's style of geometry often features a "coarse" or "soft" viewpoint, analyzing asymptotic or large-scale properties.[G00] He is...

Introduction to Information Geometry". Entropy. 22 (10). Kass, R. E.; Vos, P. W. (1997). Geometrical Foundations of Asymptotic Inference. Series in Probability...

with have together a good asymptotic complexity and a good practical efficiency. The modern approaches to algebraic geometry redefine and effectively extend...

volume of a bounded domain in Euclidean space can be determined from the asymptotic behavior of the eigenvalues for the Dirichlet boundary value problem of...

In metric geometry, asymptotic dimension of a metric space is a large-scale analog of Lebesgue covering dimension. The notion of asymptotic dimension...

requires more flexible definitions of asymptotic flatness. In 1963, Roger Penrose imported from algebraic geometry the essential innovation, now called...

This is a list of differential geometry topics. See also glossary of differential and metric geometry and list of Lie group topics. List of curves topics...

finite-dimensional Banach spaces random convex sets and integral geometry asymptotic theory of convex bodies approximation by convex sets variants of...

of the 20th century, the assumption had been that the three-dimensional geometry of the universe (its description in terms of locations, shapes, distances...

the answer is a 2 , {\displaystyle a^{2},} but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer a {\displaystyle...

reference to the asymptotic nature of spacetime. A well-defined notion of mass exists for asymptotically flat spacetimes and for asymptotically anti-de Sitter...

not necessarily close to their limits, called non-asymptotic rates and orders of convergence. Asymptotic behavior is particularly useful for deciding when...

analytic combinatorics aims at obtaining asymptotic formulae. Partition theory studies various enumeration and asymptotic problems related to integer partitions...

In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces with various additional structures, most...

In geometry, focuses or foci (/ˈfoʊkaɪ/; sg.: focus) are special points with reference to which any of a variety of curves is constructed. For example...

Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean...

Iosif (2001), "Explicit constructions of universal R-trees and asymptotic geometry of hyperbolic spaces", Bull. London Math. Soc., 33: 727–734, MR 1853785...

Cone_{\omega }(X)\,} . The notion of an asymptotic cone plays an important role in geometric group theory since asymptotic cones (or, more precisely, their topological...

In the mathematical field of metric geometry, Mikhael Gromov proved a fundamental compactness theorem for sequences of metric spaces. In the special case...

functions to describe the results, analytic combinatorics aims at obtaining asymptotic formulae. Topological combinatorics concerns the use of techniques from...

for his contributions to the fields of geometric analysis, Riemannian geometry, and geometric topology. In 2005, Perelman resigned from his research post...

This is a glossary of arithmetic and diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass...

of geometric invariants Isadore Singer, Geometry and quantum field theory Dimitri Burago, Asymptotic geometry of Z^n-periodic metrics Tobias Colding,...

certain controlled geometry near infinity.[TY90] This reduces the problem to the question of existence of Kähler metrics with such asymptotic properties; they...