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arithmetic_structure_of_rational_numbers [2013/09/03 00:30] nikolaj created |
arithmetic_structure_of_rational_numbers [2013/09/08 14:11] nikolaj |
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We'll also often omit the multiplication sign. | We'll also often omit the multiplication sign. | ||
+ | |||
+ | We can also introduce numerator and denominator: | ||
+ | |||
+ | ^ $ \mathrm{num}\frac{a}{b}\equiv a $ ^ | ||
+ | ^ $ \mathrm{den}\frac{a}{b}\equiv b $ ^ | ||
+ | |||
+ | === Theorems === | ||
+ | Division or rational numbers is given by | ||
+ | |||
+ | $\frac{[\langle a,b\rangle]}{[\langle m,n\rangle]}=[\langle a\ m,b\ m\rangle]$ | ||
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Rational_number|Rational number]] | Wikipedia: [[http://en.wikipedia.org/wiki/Rational_number|Rational number]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Requirements === | === Requirements === | ||
[[Rational number]] | [[Rational number]] | ||
=== Element of === | === Element of === | ||
[[Field]] | [[Field]] |