MyWikiBiz, Author Your Legacy — Wednesday May 01, 2024
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, 04:06, 29 May 2009
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| Introduce a suitably generic definition of the extended universe of discourse: | | Introduce a suitably generic definition of the extended universe of discourse: |
| | | |
− | Let <math>U = X_1 \times \ldots \times X_k</math> and <math>\operatorname{E}U = U \times \operatorname{d}U = X_1 \times \ldots \times X_k \times \operatorname{d}X_1 \times \ldots \times \operatorname{d}X_k.</math>
| + | {| align="center" cellpadding="6" width="90%" |
| + | | |
| + | <math>\begin{array}{ccclll} |
| + | \text{Let} & U |
| + | & = & |
| + | X_1 \times \ldots \times X_k. |
| + | \\[6pt] |
| + | \text{Then} & \operatorname{E}U |
| + | & = & |
| + | X_1 \times \ldots \times X_k ~\times~ \operatorname{d}X_1 \times \ldots \times \operatorname{d}X_k |
| + | & = & |
| + | U \times \operatorname{d}U. |
| + | \end{array}</math> |
| + | |} |
| | | |
| <pre> | | <pre> |