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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 it is just after such a perusal that the absolute lack of the ideal element is so strongly borne in upon us.

From Maria Edgeworth by Zimmern, Helen

Yet there is not wanting an ideal element in his doctrine.

From History of Religion A Sketch of Primitive Religious Beliefs and Practices, and of the Origin and Character of the Great Systems by Menzies, Allan

The most serious defect of her poetry is also the most marked defect of her prose, and this is a want of the ideal element.

From George Eliot; a Critical Study of Her Life, Writings & Philosophy by Cooke, George Willis

The world cannot be all of the higher ideal element.

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