- strictly monotone
- мат. строго монотонный
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Monotone polygon — Green indicates one intersection, blue indicates two intersections, and red indicates three or more. The top two polygons are monotone with respect to L while the bottom two are not. In geometry, a polygon P in the plane is called monotone with… … Wikipedia
Monotone cubic interpolation — In the mathematical subfield of numerical analysis, monotone cubic interpolation is a variant of cubic interpolation that preserves monotonicity of the data set being interpolated. Monotonicity is preserved by linear interpolation but not… … Wikipedia
Strongly monotone — In functional analysis, an operator A:X o X where X is a real Hilbert space is said to be strongly monotone if:exists,c>0 mbox{ s.t. } (Au Av | u v)geq c |u v|^2 quad forall u,vin X.This is analogous to the notion of strictly increasing for… … Wikipedia
Construction of t-norms — In mathematics, t norms are a special kind of binary operations on the real unit interval [0, 1]. Various constructions of t norms, either by explicit definition or by transformation from previously known functions, provide a plenitude of… … Wikipedia
New Foundations — In mathematical logic, New Foundations (NF) is an axiomatic set theory, conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica. Quine first proposed NF in a 1937 article titled New Foundations for … Wikipedia
Cumulative distribution function — for the normal distributions in the image below … Wikipedia
Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) … Wikipedia
Evolute — In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. Equivalently, it is the envelope of the normals to a curve. The original curve is an involute of its evolute. (Compare and… … Wikipedia
Boundedly generated group — In mathematics, a group is called boundedly generated if it can be expressed as a finite product of cyclic subgroups. The property of bounded generation is also closely related with the congruence subgroup problem (see harvnb|Lubotzky|Segal|2003) … Wikipedia
Cobb–Douglas production function — A two input Cobb–Douglas production function In economics, the Cobb–Douglas f form of production functions is widely used to represent the relationship of an output to inputs. Similar functions were originally used by Knut Wicksell (1851–1926),… … Wikipedia
Monotonic function — Monotonicity redirects here. For information on monotonicity as it pertains to voting systems, see monotonicity criterion. Monotonic redirects here. For other uses, see Monotone (disambiguation). Figure 1. A monotonically increasing function (it… … Wikipedia