Look up multiplicity in Wiktionary, the free dictionary. In mathematics, the multiplicity of a member of a multiset is the number of times it appears...

In mathematics, Serre's multiplicity conjectures, named after Jean-Pierre Serre, are certain problems in commutative algebra, motivated by the needs of...

software engineering Multiplicity (mathematics), the number of times an element is repeated in a multiset Multiplicity (software), a software application...

eigenvalue's geometric multiplicity cannot exceed its algebraic multiplicity. Additionally, recall that an eigenvalue's algebraic multiplicity cannot exceed n...

In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than)...

Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...

from Riemann's description of the mathematical concept. In his essay The Idea of Duration, Bergson discusses multiplicity in light of the notion of unity...

b}, the element a has multiplicity 2, and b has multiplicity 1. In the multiset {a, a, a, b, b, b}, a and b both have multiplicity 3. These objects are...

Stanisław; Józefiak, Tadeusz (1989), Dimension, multiplicity and homological methods, Mathematics and its Applications, Chichester: Ellis Horwood Ltd...

states multiplicity for ferromagnetic Ashkin–Teller models on Z 2 {\displaystyle \mathbb {Z} ^{2}} " (PDF). Journal of Physics A: Mathematical and General...

approximating the roots of a polynomial with arbitrarily high precision Multiplicity (mathematics) – Number of times an object must be counted for making true a...

In diatonic set theory structure implies multiplicity is a quality of a collection or scale. For collections or scales which have this property, the interval...

In mathematics, a spline is a function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial...

Legion of Merit (Grand Croix de l'Ordre National du Mérite). Multiplicity (mathematics) Bourbaki group — Serre joined it in the late 1940s Groupes Algébriques...

In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves...

numbers. p-adic number Valuation (algebra) Archimedean property Multiplicity (mathematics) Ostrowski's theorem Legendre's formula, for the p {\displaystyle...

Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions...

2 {\displaystyle d_{1}d_{2}} intersection points, counted with their multiplicity, and including points at infinity and points with complex coordinates...

In the mathematical theory of automorphic representations, a multiplicity-one theorem is a result about the representation theory of an adelic reductive...

and Managing the Value of Companies Valuation (algebra), a measure of multiplicity p-adic valuation, a special case Valuation (geometry), a generalization...

original): A multiplicity [he appears to mean what we now call a set] is called well-ordered if it fulfills the condition that every sub-multiplicity has a first...

Serre's modularity conjecture, concerning Galois representations Serre's multiplicity conjectures in commutative algebra Ribet's theorem, formerly known as...

defined two types of multiplicities: consistent multiplicities (sets) and inconsistent multiplicities (absolutely infinite multiplicities). Next he assumed...

In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties...

precisely all the digits of the original number, in any order, counting multiplicity. The two factors cannot both have trailing zeroes. The first vampire...

notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x2 = 0 define the same algebraic variety but...

the roots in an algebraically closed extension) counted with their multiplicities. For example, the polynomial f {\displaystyle f} of degree two, defined...

"A formula for the multiplicity of a weight", Transactions of the American Mathematical Society, 93 (1), American Mathematical Society: 53–73, doi:10...

also be: i-secant lines, meeting the curve in i points counted without multiplicity, or asymptotes, which a curve approaches arbitrarily closely without...

covering with r-multiplicity at most n + 1. Here Cr-bounded means that the diameter of each set of the covering is bounded by Cr, and r-multiplicity is the infimum...