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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

In this shape, he represents the ideal element in things solely, and is our champion and our helper and we his helpers, against the bad parts of the universe.

From A Pluralistic Universe Hibbert Lectures at Manchester College on the Present Situation in Philosophy by James, William

Now in literature all conditions tend to the enormous preponderance of the ideal element in experience.

From The Psychology of Beauty by Howes, Ethel Dench Puffer

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

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

From Desperate Remedies by Hardy, Thomas

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