gives the denominator of expr.
Details and Options
- Denominator picks out terms which have superficially negative exponents. Numerator picks out all remaining terms.
- An exponent is "superficially negative" if it has a negative number as a factor.
- The standard representation of rational expressions as products of powers means that you cannot simply use Part to extract denominators.
- Denominator can be used on rational numbers.
Examplesopen allclose all
Basic Examples (3)
Select terms with syntactically negative exponents:
All exponents syntactically negative:
No syntactically negative exponents:
Denominator automatically threads over lists:
Compute the denominator with over the integers modulo 5:
Compute the denominator while incorporating common trigonometric identities:
Properties & Relations (5)
Numerator gives the terms without negative exponents:
An expression is a quotient of its numerator and denominator:
Use Cancel to cancel common factors between the numerator and the denominator:
Together writes an expression as a fraction and cancels common terms:
Use ExpandDenominator to directly expand all denominators:
Neat Examples (2)
Cyclic addition [more info]:
Wolfram Research (1988), Denominator, Wolfram Language function, https://reference.wolfram.com/language/ref/Denominator.html.
Wolfram Language. 1988. "Denominator." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Denominator.html.
Wolfram Language. (1988). Denominator. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Denominator.html