An equivalence group is a set of unspecified cells that have the same developmental potential or ability to adopt various fates. Our[who?] current understanding...

a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These...

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments...

False equivalence A false equivalence or false equivalency is an informal fallacy in which an equivalence is drawn between two subjects based on flawed...

Equivalence tests are a variety of hypothesis tests used to draw statistical inferences from observed data. In these tests, the null hypothesis is defined...

A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that...

The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form...

{\displaystyle g} in the group such that b = g a g − 1 . {\displaystyle b=gag^{-1}.} This is an equivalence relation whose equivalence classes are called conjugacy...

In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring-theoretic properties. More precisely two rings...

cycles modulo rational equivalence form the classical group of divisors modulo linear equivalence. All cycles modulo rational equivalence form the Chow ring...

field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the loops contained...

exactly one subset. Every equivalence relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped...

in G. Fiber-homotopy equivalence (relative version of a homotopy equivalence) Homeotopy Homotopy type theory Mapping class group Poincaré conjecture Regular...

In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories...

algebraic equivalence classes of divisors on V; that is, using a stronger, non-linear equivalence relation in place of linear equivalence of divisors...

essentially interchangeable, thus establishing an equivalence group. The developmental equivalence of these cells is usually established via transplantation...

geometry, the Néron–Severi group of a variety is the group of divisors modulo algebraic equivalence; in other words it is the group of components of the Picard...

congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible...

In mathematics, Cartan's equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up...

specified from two separate but identical precursors, which form an equivalence group These two precursor cells are termed O/P cells for their ability to...

Unicode equivalence is the specification by the Unicode character encoding standard that some sequences of code points represent essentially the same...

functional equivalence (or functional redundancy) is the ecological phenomenon that multiple species representing a variety of taxonomic groups can share...

mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed by endowing the quotient...

braid group on n strands (denoted B n {\displaystyle B_{n}} ), also known as the Artin braid group, is the group whose elements are equivalence classes...

divides them into therapeutic equivalence groups. For example, as of 2006, diltiazem hydrochloride had four equivalence groups, all using the same active...

related areas of mathematics, a hyperfinite equivalence relation on a standard Borel space X is a Borel equivalence relation E with countable classes, that...

properties of a group guarantee that the set of orbits of (points x in) X under the action of G form a partition of X. The associated equivalence relation is...

mathematics, A {\displaystyle {\mathcal {A}}} -equivalence, sometimes called right-left equivalence, is an equivalence relation between map germs. Let M {\displaystyle...

precisely one left coset of H; the left cosets are the equivalence classes corresponding to the equivalence relation a1 ~ a2 if and only if a 1 − 1 a 2 {\displaystyle...

called "equal up to an equivalence relation R" if a and b are related by R, that is, if aRb holds, that is, if the equivalence classes of a and b with...