Identity (mathematics): Difference between revisions
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In [[mathematics]], '''identity''' may refer to: | In [[mathematics]], '''identity''' may refer to: | ||
* [[Identity element]], or neutral element, with respect to a binary operation, an element which leaves the other operand unchanged. | * [[Identity element]], or neutral element, with respect to a binary operation, an element which leaves the other operand unchanged. | ||
** The [[identity matrix]], the neutral element for [[matrix multiplication]]. | ** The [[identity matrix]], the neutral element for [[matrix multiplication]]. | ||
* [[Identity function]] on a set to itself which maps each element to itself. | |||
* The identity [[relation (mathematics)]] is the relation expressing [[equality]]. | * The identity [[relation (mathematics)]] is the relation expressing [[equality]]. | ||
* Any equality between variables which is universally true, as opposed to an [[equation (mathematics)|equation]] to be solved. | * Any equality between variables which is universally true, as opposed to an [[equation (mathematics)|equation]] to be solved. | ||
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==See also== | ==See also== | ||
* [[Identity]] | * [[Identity]] | ||
Latest revision as of 11:52, 31 May 2009
This disambiguation page lists articles associated with the same or a similar title.
In mathematics, identity may refer to:
- Identity element, or neutral element, with respect to a binary operation, an element which leaves the other operand unchanged.
- The identity matrix, the neutral element for matrix multiplication.
- Identity function on a set to itself which maps each element to itself.
- The identity relation (mathematics) is the relation expressing equality.
- Any equality between variables which is universally true, as opposed to an equation to be solved.