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.

1745 equations across 1519 symbols.

Tring(n,p)=2(p−1) α+2(p−1)p n β+p−1p n γT_{\mathrm{ring}}(n,p) = 2(p-1)\,\alpha + \frac{2(p-1)}{p}\,n\,\beta + \frac{p-1}{p}\,n\,\gamma

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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tsense+tcompute+tactuate<1ft_{\mathrm{sense}} + t_{\mathrm{compute}} + t_{\mathrm{actuate}} < \frac{1}{f}

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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t: At×Σ  ⇀  Rt×Σt:\ \mathcal{A}_t \times \Sigma \;\rightharpoonup\; \mathcal{R}_t \times \Sigma

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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U(∣ψ⟩⊗∣0⟩)=∣ψ⟩⊗∣ψ⟩U\left(|\psi\rangle \otimes |0\rangle\right) = |\psi\rangle \otimes |\psi\rangle

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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U=∑i[pivi−Ci−Hi−(1−pi) qiLi]U=\sum_i\left[p_i v_i-C_i-H_i-(1-p_i)\,q_i L_i\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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Vt  =  Atcv,ϕt  =  VtGt  =  Atcv GtV_t \;=\; \frac{A_t}{c_v}, \qquad \phi_t \;=\; \frac{V_t}{G_t} \;=\; \frac{A_t}{c_v \, G_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.

All uses →Latest guide →Latest article →