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.

1 kg=(h6.626 070 15×10−34) m−2 s1\ \mathrm{kg} = \left(\frac{h}{6.626\,070\,15 \times 10^{-34}}\right)\ \mathrm{m^{-2}\,s}

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.

Cn=C0∏k=1nfk+∑k=1nik∏j=k+1nfjC_n = C_0 \prod_{k=1}^{n} f_k + \sum_{k=1}^{n} i_k \prod_{j=k+1}^{n} f_j

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.

KJ=2eh,RK=he2,KJ2RK=4hK_{\mathrm J} = \frac{2e}{h}, \qquad R_{\mathrm K} = \frac{h}{e^{2}}, \qquad K_{\mathrm J}^{2} R_{\mathrm K} = \frac{4}{h}

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.