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.

G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n)G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}

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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I∗(t)=F(t)B(t)=I0∗(gFgB)tI^{*}(t) = \frac{F(t)}{B(t)} = I^{*}_0 \left(\frac{g_F}{g_B}\right)^{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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J(π)=Eπ[R]−λcEπ[C]−λrEπ[L]−λuEπ[U]J(\pi) = \mathbb{E}_\pi[R] - \lambda_c\mathbb{E}_\pi[C] - \lambda_r\mathbb{E}_\pi[L] - \lambda_u\mathbb{E}_\pi[U]

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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j∗=arg⁡min⁡j(λLLj+λCCj+λRRj+λSSj)j^* = \arg\min_j \left( \lambda_L L_j + \lambda_C C_j + \lambda_R R_j + \lambda_S S_j \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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j∗=arg⁡max⁡j(Fj−λlLj−λrRj−λsSj−λhHj)j^*=\arg\max_j\left( F_j-\lambda_l L_j-\lambda_r R_j-\lambda_s S_j-\lambda_h H_j \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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k=κ kBThexp⁡(−ΔG‡RT)k = \kappa\,\frac{k_{\mathrm B}T}{h}\exp\left(-\frac{\Delta G^{\ddagger}}{RT}\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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