topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that...

variety Degree (graph theory), or valency, the number of edges incident to a vertex of a graph Degree of a continuous mapping, a generalization of winding...

fixed point theorem Invariance of domain Lefschetz fixed-point theorem Hairy ball theorem Degree of a continuous mapping Borsuk–Ulam theorem Ham sandwich...

In topology, the winding number is an alternate term for the degree of a continuous mapping. In physics, winding numbers are frequently called topological...

sometimes called the winding number of the solution, or, more precisely, it is the degree of a continuous mapping. The concept of topological quantum numbers...

is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f {\displaystyle f} mapping a nonempty...

define a degree of a function between cycles, analogous to the degree of a continuous mapping. For example, the natural map from the circle of fifths...

the sense of the topological degree of a continuous mapping, where grad f is the (complex) gradient vector field of f. It is related to δ and r by the Milnor–Jung...

of the treatment of general continuous mappings. In 1912, at age 31, he was elected a member of the Royal Netherlands Academy of Arts and Sciences....

be widely formalized. In an early summary of the theory of evolution of continuous variation, Sewall Wright, a graduate student who trained under Castle...

degree for compact mappings in normed spaces, the coincidence degree and various other types. There is also a degree for continuous maps between manifolds...

consider continuous deformation of the homeomorphisms themselves: called homotopies. We define the mapping class group by taking homotopy classes of homeomorphisms...

process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements...

Retrieved 30 June 2018. Mawhin, Jean (2001) [1994], "Brouwer degree", Encyclopedia of Mathematics, EMS Press Dalen, Dirk van (2012-12-04). L.E.J. Brouwer...

be mapped continuously into the n-dimensional sphere Sn. This summary does not distinguish between two mappings if one can be continuously deformed to...

functions of two parameters mapping to a surface in three-dimensional space. The shape of the surface is determined by control points. In a compact form...

transform continuous-time system representations to discrete-time and vice versa. The bilinear transform is a special case of a conformal mapping (namely, a Möbius...

algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated...

multivariate continuous function f : [ 0 , 1 ] n → R {\displaystyle f\colon [0,1]^{n}\to \mathbb {R} } can be represented as a superposition of continuous single-variable...

The returned measure of meters per degree latitude varies continuously with latitude. Similarly, the length in meters of a degree of longitude can be calculated...

In mathematics, the Leray–Schauder degree is an extension of the degree of a base point preserving continuous map between spheres ( S n , ∗ ) → ( S n ...

|n|} if n < 0. For example, a polynomial of degree n has a pole of degree n at infinity. The complex plane extended by a point at infinity is called the...

algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V →...

time and, 2) continuous where the state variables change continuously with respect to time. Modelling is the process of generating a model as a conceptual...

of as a mapping on function spaces. This mapping is here denoted F and F(f) is used to denote the Fourier transform of the function f. This mapping is...

for continuous affine self-mappings of compact convex sets, as well as the Earle–Hamilton fixed-point theorem (1968) for holomorphic self-mappings of open...

The notion of being absolutely homogeneous of degree k {\displaystyle k} over M {\displaystyle M} is generalized similarly. A continuous function f {\displaystyle...

management for project tracking; in lean manufacturing for value-stream mapping and continuous improvement tracking; and in business process modeling software...

certain parts of the Earth. A vital contribution to mapping the reality of the world came with a scientific estimate of the circumference of the earth. This...

integral data type, and continuous variables with the real data type involving floating point computation. But the mapping of computer science data types...