mathematics, in particular the subfield of algebraic geometry, a rational map or rational mapping is a kind of partial function between algebraic varieties....

Iteration of rational functions on the Riemann sphere (i.e. a rational mapping) creates discrete dynamical systems. Julia sets for rational maps 1 a z 5...

amounts to studying mappings that are given by rational functions rather than polynomials; the map may fail to be defined where the rational functions have...

theory and the structural stability of rational mapping. Due to this work, the measure of maximal entropy of a rational map (the Mané-Lyubich measure) bears...

1979, and rational choice theory, developed by Ronald V. Clarke and Derek Cornish, originally published in 1986. In recent years, crime mapping and analysis...

Bounded rationality is the idea that rationality is limited when individuals make decisions, and under these limitations, rational individuals will select...

decision theory Domination number, in graph theory Dominant maps, in rational mapping Dominated convergence theorem, application of function domination in...

iterating a complex analytic mapping. This article focuses on the case of algebraic dynamics, where a polynomial or rational function is iterated. In geometric...

complements directed evolution. As an example, rational design is used to decipher collagen stability, mapping ligand-receptor interactions, unveiling protein...

coordinate axes, and then mapping the other two points to [S : T] = [0 : 1] and [S : T] = [1 : 0]. The tangent and secant lines of a rational normal curve are...

of cohomology, is the smallest integer n such that there exists a rational mapping φ : X0(n) → E. Since we now know all elliptic curves over Q are modular...

{\displaystyle H} with H ′ {\displaystyle H'} ; has codimension two. There is a rational mapping V → P 1   :   p ↦ [ L ′ ( p ) : − L ( p ) ] {\displaystyle V\rightarrow...

are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers...

Scientific skepticism or rational skepticism (also spelled scepticism), sometimes referred to as skeptical inquiry, is a position in which one questions...

result in the theory of rational mappings of the Riemann sphere. It states that the image of a circle under a complex rational map with numerator and denominator...

Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing...

generally reflects rational decision-making by potential criminals is sometimes called the rational choice theory of crime. The rational choice theory has...

direct limit of these groups and inclusions yields the stable mapping class group, whose rational cohomology ring was conjectured by David Mumford (one of...

O X ( U ) {\displaystyle {\mathcal {O}}_{X}(U)} to be the ring of rational mappings defined on the Zariski-open set U {\displaystyle U} that do not blow...

and division are defined and behave as the corresponding operations on rational and real numbers. A field is thus a fundamental algebraic structure which...

approaches, such as random-deletion library sequencing (RanDeL-Seq), allow rational mapping of the viral genetic elements that are required for DI-particle propagation...

because the mapping n ↦ 2 n {\displaystyle n\mapsto 2n} is a bijection that preserves the order. But the set of integers and the set of rational numbers (with...

is called a Steiner surface. The Veronese surface is the image of the mapping ν : P 2 → P 5 {\displaystyle \nu :\mathbb {P} ^{2}\to \mathbb {P} ^{5}}...

a structure-preserving mapping or morphism between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures...

expressing real numbers (rational and irrational) is called their continued fraction representation. Consider, for example, the rational number ⁠415/93⁠, which...

pairing function can be used in set theory to prove that integers and rational numbers have the same cardinality as natural numbers. A pairing function...

theory Criminalization Differential association Integrative criminology Rational choice theory Structural functionalism Subcultural theory Symbolic interactionism...

functions. Diagramatic interpretation in the Cartesian plane, defined by the mapping f : X → Y , {\displaystyle f:X\to Y,} where y = f ( x ) , {\displaystyle...

the table below only help to show how the tiles fit together): Certain rational maps give rise to finite subdivision rules. This includes most Lattès maps...

missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. 2 {\displaystyle {\sqrt {2}}} is...