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Ideal element

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


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  • Idealess

    [ahy-dee-uh, ahy-deeuh ] /aɪˈdi ə, aɪˈdiə/ noun 1. any conception existing in the mind as a result of mental understanding, awareness, or activity. 2. a thought, conception, or notion: That is an excellent idea. 3. an impression: He gave me a general idea of how he plans to run the department. 4. an opinion, view, […]

  • Ideal-gas

    noun, Physics. 1. a gas composed of molecules on which no forces act except upon collision with one another and with the walls of the container in which the gas is enclosed; a gas that obeys the ideal gas law. noun 1. a hypothetical gas which obeys Boyle’s law exactly at all temperatures and pressures, […]

  • Ideal-gas-law

    noun, Physics. 1. the law that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant. ideal gas law A law that describes the relationships between measurable properties of an ideal gas. […]

  • Idealise

    [ahy-dee-uh-lahyz] /aɪˈdi əˌlaɪz/ verb (used with object), idealized, idealizing. 1. to make ; represent in an form or character; exalt to an perfection or excellence. verb (used without object), idealized, idealizing. 2. to represent something in an form. /aɪˈdɪəˌlaɪz/ verb 1. to consider or represent (something) as ideal 2. (transitive) to portray as ideal; glorify […]

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