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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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Example Sentences

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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

Yet the indications are that this art of arts had its origin, as far back as the days of savagery, in the ideal element of life rather than the utilitarian.

From Ballad Book by Bates, Katherine Lee

It works by seizing upon the ideal element which is already there, conserving it, and developing it.

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

On the other hand, to the poet who denies the ideal element in life altogether, the unifying influence of love is indispensable.

From The Poet's Poet : essays on the character and mission of the poet as interpreted in English verse of the last one hundred and fifty years by Atkins, Elizabeth

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