parity

(noun)

A set with the property of having all of its elements belonging to one of two disjoint subsets, especially a set of integers split in subsets of even and odd elements.

Related Terms

  • additive inverse

Examples of parity in the following topics:

  • The Fundamental Theorem of Algebra

    • This last remark, together with the alternative statement of the fundamental theorem of algebra, tells us that the parity of the real roots (counted with multiplicity) of a polynomial with real coefficients must be the same as the parity of the degree of said polynomial.
  • Even and Odd Functions

    • Oftentimes, the parity of a function will reveal whether it is odd or even.
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