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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

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.

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

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

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