In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can 'undo' the effect of combination with another given element. While the precise definition of an inverse element varies depending on the algebraic structure involved, these definitions coincide in a group.
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Famous quotes containing the words inverse and/or element:
“The quality of moral behaviour varies in inverse ratio to the number of human beings involved.”
—Aldous Huxley (1894–1963)
“Other sins only speak; murder shrieks out:
The element of water moistens the earth,
But blood flies upwards, and bedews the heavens.”
—John Webster (1580–1625)