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Algebraic number
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===Closed-form number=== {{Main|Closed-form number}} Algebraic numbers are all numbers that can be defined explicitly or implicitly in terms of polynomials, starting from the rational numbers. One may generalize this to "[[closed-form number]]s", which may be defined in various ways. Most broadly, all numbers that can be defined explicitly or implicitly in terms of polynomials, exponentials, and logarithms are called "[[elementary number]]s", and these include the algebraic numbers, plus some transcendental numbers. Most narrowly, one may consider numbers ''explicitly'' defined in terms of polynomials, exponentials, and logarithms β this does not include all algebraic numbers, but does include some simple transcendental numbers such as {{mvar|e}} or [[Natural logarithm of 2|ln 2]].
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