Editing Parity (mathematics) (section)

===Analysis===
The [[Even and odd functions|parity of a function]] describes how its values change when its arguments are exchanged with their negations. An even function, such as an even power of a variable, gives the same result for any argument as for its negation. An odd function, such as an odd power of a variable, gives for any argument the negation of its result when given the negation of that argument. It is possible for a function to be neither odd nor even, and for the case ''f''(''x'')&nbsp;=&nbsp;0, to be both odd and even.<ref>{{citation|title=College Algebra|edition=11th|first1=Roy David|last1=Gustafson|first2=Jeffrey D.|last2=Hughes|publisher=Cengage Learning|year=2012|isbn=9781111990909|page=315|url=https://books.google.com/books?id=sxZpddk1fTIC&pg=PA315}}.</ref> The [[Taylor series]] of an even function contains only terms whose exponent is an even number, and the Taylor series of an odd function contains only terms whose exponent is an odd number.<ref>{{citation|title=Advanced Engineering Mathematics|first1=R. K.|last1=Jain|first2=S. R. K.|last2=Iyengar|publisher=Alpha Science Int'l Ltd.|year=2007|isbn=9781842651858|page=853|url=https://books.google.com/books?id=crOxJNLE5psC&pg=PA853}}.</ref>