| Magnitude (mathematics) |
Article Index for Magnitude |
Information AboutMagnitude (mathematics) |
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The magnitude of a mathematical object is its size: a property by which it can be larger or smaller than other objects of the same kind; in technical terms, an Ordering of the Class of objects to which it belongs. The Greeks distinguished between several types of magnitude, including:
They had proven 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. REAL NUMBERS | ||
| : ''x'' | ''x'', if ''x'' &ge 0 |
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| : ''x'' | -''x'', if ''x'' < 0 |
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| :<math> \left X + Iy Ight | \sqrt{x^2 + y^2 }</math> |
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| :<math>\\mathbf{x}\ : | \sqrt{x_1^2 + \cdots + x_n^2}</math> |
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| Where '''x''' | ''x<sub>2</sub>'', , ''x<sub>n</sub>'' The notation '''x''' is also used for the norm |
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