ENGLISH DICTIONARY

Semifactorial

Definition, Meaning & Examples

Part of speech noun

Quick meaning: Semifactorial is a noun meaning (mathematics, combinatorics, rare) Synonym of double factorial.

Meaning

(mathematics, combinatorics, rare) Synonym of double factorial.

Example Sentences

With the symbol n#33;#33; we indicate the semifactorial of n, that is the product 1.3.5#92;dotsn if n is odd, and the product 2.4.6#92;dotsn if n is even.
The double factorial or semifactorial function is defined byn#33;#33;#61;#92;begin#123;cases#125;#92;displaystyle 1amp;n#61;-1,0#92;#92;#91;5pt#93;#92;displaystylen#92;times(n-2)#92;times(n-4)#92;times#92;dots#92;times 5#92;times 3#92;times 1amp;n#61;1,3,5,#92;dots#92;#92;#91;5pt#93;#92;displaystylen#92;times(n-2)#92;times(n-4)#92;times#92;dots#92;times 6#92;times 4#92;times 2amp;n#61;2,4,6,#92;dots#92;end#123;cases#125;

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