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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

He turned his eyes and saw her emotion, which greatly increased the ideal element in her expressive face.

From Desperate Remedies by Hardy, Thomas

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

And yet how perfectly did his genius divine that ideal element in our early New England life, conceiving what must have been without asking proof of what actually was!

From Among My Books First Series by Lowell, James Russell

Denying that life has an ideal element, they take pains to mirror it, line for line, and blemish for blemish.

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

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