Multiplicity (mathematics)

Multiplicities (even multiplicity ) is a property of mathematical objects. If an object in an environment, for example, three times before, so it has a multiplicity of 3 In particular, the following objects, the multiplicity is examined:

• Eigenvalues ​​: For eigenvalue problems in linear algebra or functional analysis, the algebraic multiplicity and geometric multiplicity of an eigenvalue to be investigated.
• Zeros and poles: For a curve sketching the multiplicities of zeros and poles is often referred to as an order.
• Elements of a multiset.
• Edges in the multigraph: edges with a higher multiplicity than 1 are called multiple edges.
• Primes in a prime factorization.