Live mathematical reference

Mathematical compendium

A live index of the equations in published articles. Each entry leads to its article, equation guide, and the terms explained there. New or edited published articles appear automatically.

1680 equations across 1484 symbols.

n  ≳  (zα/2+zβ)29 δ2n \;\gtrsim\; \frac{\left(z_{\alpha/2} + z_{\beta}\right)^{2}}{9\,\delta^{2}}

1 published occurrence

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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P=πplan(o0, g),at=πexec(P, ot)P = \pi_{\text{plan}}(o_0,\ g), \qquad a_t = \pi_{\text{exec}}(P,\ o_t)

1 published occurrence

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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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Pnameplate=N1⋅PGPU=100,000×700 W≈70 MWP_{\text{nameplate}} = N_1 \cdot P_{\text{GPU}} = 100{,}000 \times 700\ \text{W} \approx 70\ \text{MW}

1 published occurrence

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This equation gives an approximation: it relates the quantities while allowing an approximation.

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