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ideal element

British

noun

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

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

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

The world cannot be all of the higher ideal element.

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

Mr. Parker's ministry had three periods, in each of which the ideal element was the attraction.

From Transcendentalism in New England A History by Frothingham, Octavius Brooks

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

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023