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

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

In the water, their ideal element, I must say these animals swim wonderfully thanks to their flexible backbones, narrow pelvises, close–cropped hair, and webbed feet.

From Twenty Thousand Leagues Under the Sea by Walter, F. P.

In this shape, he represents the ideal element in things solely, and is our champion and our helper and we his helpers, against the bad parts of the universe.

From A Pluralistic Universe Hibbert Lectures at Manchester College on the Present Situation in Philosophy by James, William

It is the chief merit of Fracastoro's dialogue, that even while emphasizing this Platonic element, he clearly distinguishes and defines the ideal element in �sthetic imitation.

From A History of Literary Criticism in the Renaissance With special reference to the influence of Italy in the formation and development of modern classicism by Spingarn, Joel Elias