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.

1725 equations across 1445 symbols.

Nm(B)={(g,h):LCB⁡0.95 ⁣[Pr⁡(Y=1∣m,g,h,B)]≥p∗}\mathcal{N}_m(B)=\left\{(g,h):\operatorname{LCB}_{0.95}\!\left[\Pr(Y=1\mid m,g,h,B)\right]\ge p^*\right\}

1 published occurrence

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This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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logit⁡Pr⁡(Yimtr=1)=β0+αm+β1qtr+β2dt+β3log⁡(1+ht)+urepo(t)+ut\operatorname{logit}\Pr(Y_{imtr}=1)= \beta_0+\alpha_m+\beta_1 q_{tr}+\beta_2 d_t+ \beta_3\log(1+h_t)+u_{\mathrm{repo}(t)}+u_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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logit⁡Pr⁡(Yimtr=1)=baseline+γ1Gtr+γ2Gtrlog⁡(1+ht)\operatorname{logit}\Pr(Y_{imtr}=1)=\text{baseline}+ \gamma_1G_{tr}+\gamma_2G_{tr}\log(1+h_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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Gtr=KtHtr[G]=bit ⁣- ⁣transitionsG_{tr}=K_t H_{tr}\qquad [G]=\mathrm{bit\!\text{-}\!transitions}

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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Htr=−∑c∈Ctrp^(c∣t,r)log⁡2p^(c∣t,r)H_{tr}=-\sum_{c\in\mathcal{C}_{tr}}\hat p(c\mid t,r)\log_2 \hat p(c\mid t,r)

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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Wm(B)=∑(g,h)∈Gwgh 1{(g,h)∈Nm(B)}W_m(B)=\sum_{(g,h)\in\mathcal{G}}w_{gh}\,\mathbf{1}\{(g,h)\in\mathcal{N}_m(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.

All uses →Latest guide →Latest article →