ideal element

British  

noun

1. any element added to a mathematical theory in order to eliminate special cases. The ideal element i = √–1 allows all algebraic equations to be solved and the point at infinity ( ideal point ) ensures that any two lines in projective geometry intersect

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Example Sentences

See Examples For:

ideal element

As the lightest metal on the periodic table, and the one most eager to shed its electrons, lithium is the ideal element to make powerful, portable batteries.

From Nature ● Oct. 27, 2015

In his language on this fundamental point he was perhaps too jealous of admitting an ideal element as implicit in the feeling of obligation.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 2 "French Literature" to "Frost, William" by Various

The world cannot be all of the higher ideal element.

From Elizabeth Hobart at Exeter Hall by Vosburgh, R. G.

Knowledge, or science, he says, is a process of following out the ideal element in experience.

From John Dewey's logical theory by Howard, Delton Thomas

But the moment it is admitted that there is a beauty of form independent of the ideal element, this theory can no longer stand.

From The Psychology of Beauty by Howes, Ethel Dench Puffer