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.

1815 equations across 1477 symbols.

L(x,y,λ)=(296+x4)(264+0.275y)−λ(x+y−B)\mathcal{L}(x,y,\lambda) = (296+\tfrac{x}{4})(264+0.275y) - \lambda(x+y-B)

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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HP=⌊(2B+I+⌊E/4⌋)⋅L100⌋+L+10\text{HP} = \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + L + 10

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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AF=exp⁡ ⁣[EakB(1Tuse−1Ttest)]AF = \exp\!\left[\frac{E_a}{k_B}\left(\frac{1}{T_{\mathrm{use}}} - \frac{1}{T_{\mathrm{test}}}\right)\right]

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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Rwp=∑iwi(yiobs−yicalc)2∑iwi(yiobs)2R_{wp} = \sqrt{\frac{\sum_i w_i \left(y_i^{\mathrm{obs}} - y_i^{\mathrm{calc}}\right)^2}{\sum_i w_i \left(y_i^{\mathrm{obs}}\right)^2}}

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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S=⌊(⌊(2B+I+⌊E/4⌋)⋅L100⌋+5)⋅N⌋S = \left\lfloor \left( \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + 5 \right) \cdot N \right\rfloor

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.

All uses →Latest guide →Latest article →