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complex_exponents_with_positive_real_bases [2015/04/15 14:11] nikolaj |
complex_exponents_with_positive_real_bases [2015/04/15 14:12] nikolaj |
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| ----- | ----- | ||
| + | === Discussion === | ||
| The identity | The identity | ||
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| says that exponentiation is a (the) homomorphism between $+$ and $\cdot$. | says that exponentiation is a (the) homomorphism between $+$ and $\cdot$. | ||
| - | The combinatorical manifestation, e.g. formulated in $\bf{Set}$, is | + | The combinatorial manifestation, e.g. formulated in for $B,X_1,\dots\in\bf{Set}$, is |
| $B^{\coprod_{j\in J}X_j}\cong\prod_{j\in J} B^{X_j}$ | $B^{\coprod_{j\in J}X_j}\cong\prod_{j\in J} B^{X_j}$ | ||
