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Magnitude (mathematics) : ウィキペディア英語版
Magnitude (mathematics)
In mathematics, magnitude is the size of a mathematical object, a property by which the object can be compared as larger or smaller than other objects of the same kind. More formally, an object's magnitude is an ordering (or ranking) of the class of objects to which it belongs.
==History==
The Greeks distinguished between several types of magnitude, including:
*Positive fractions
*Line segments (ordered by length)
*Plane figures (ordered by area)
*Solids (ordered by volume)
*Angles (ordered by angular magnitude)
They proved that the first two could not be the same, or even isomorphic systems of magnitude.〔.〕 They did not consider negative magnitudes to be meaningful, and ''magnitude'' is still chiefly used in contexts in which zero is either the lowest size or less than all possible sizes.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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