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2. Multiplicity (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Multiplicity_(mathematics)

   For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root. The notion of multiplicity is important to be able to count correctly without specifying exceptions (for example, double roots counted twice). Hence the expression, "counted with multiplicity".

3. Multiset - Wikipedia

   en.wikipedia.org/wiki/Multiset

   In mathematics, a multiset (or bag, or mset) is a modification of the concept of a set that, unlike a set, [1] allows for multiple instances for each of its elements.The number of instances given for each element is called the multiplicity of that element in the multiset.

4. Table of prime factors - Wikipedia

   en.wikipedia.org/wiki/Table_of_prime_factors

   The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is 1 (since p = p 1). The multiplicity of a prime which does not divide n may be called 0 or may be considered undefined.

5. List of mathematical examples - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_examples

   This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...

6. Glossary of mathematical jargon - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   An aesthetic term referring to the ability of an idea to provide insight into mathematics, whether by unifying disparate fields, introducing a new perspective on a single field, or by providing a technique of proof which is either particularly simple, or which captures the intuition or imagination as to why the result it proves is true.

7. Eigenvalues and eigenvectors - Wikipedia

   en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors

   Similarly, the geometric multiplicity of the eigenvalue 3 is 1 because its eigenspace is spanned by just one vector []. The total geometric multiplicity γ A is 2, which is the smallest it could be for a matrix with two distinct eigenvalues. Geometric multiplicities are defined in a later section.

8. Matrix (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Matrix_(mathematics)

   For example, a 2,1 represents the element at the second row and first column of the matrix. In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

9. Additive function - Wikipedia

   en.wikipedia.org/wiki/Additive_function

   The multiplicity of a prime factor p in n, that is the largest exponent m for which p m divides n. a 0 (n) – the sum of primes dividing n counting multiplicity, sometimes called sopfr(n), the potency of n or the integer logarithm of n (sequence A001414 in the OEIS). For example: a 0 (4) = 2 + 2 = 4 a 0 (20) = a 0 (2 2 · 5) = 2 + 2 + 5 = 9 a ...