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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

It was the former or ideal element which was examined by Fichte; the latter by Jacobi.

From History of Free Thought in Reference to The Christian Religion by Farrar, Adam Storey

It is on the latter or ideal element that Kant makes the emphasis increasingly turn.

From Hegel's Philosophy of Mind by Hegel, Georg Wilhelm Friedrich

Knowledge, or science, he says, is a process of following out the ideal element in experience.

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

What is really wanted is the lifting power of an ideal element in human life.

From Fragments of science, V. 1-2 by Tyndall, John

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