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.

W(x):=Φgrav(x)−12∣Ω×r∣2W(\mathbf x) := \Phi_{\rm grav}(\mathbf x) - \tfrac12|\boldsymbol\Omega \times \mathbf r|^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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yij:=ln⁡(νj/νi)=ϕ(xi)−ϕ(xj)y_{ij} := \ln(\nu_j/\nu_i) = \phi(\mathbf x_i) - \phi(\mathbf x_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.

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ΔEhull=E(compound)−Econvex hull(composition)\Delta E_{\text{hull}} = E(\text{compound}) - E_{\text{convex hull}}(\text{composition})

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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Cost(P)  =  α⋅WL(P)  +  β⋅Tmax⁡(P)  +  γ⋅σmax⁡(P)\text{Cost}(\mathcal{P}) \;=\; \alpha \cdot WL(\mathcal{P}) \;+\; \beta \cdot T_{\max}(\mathcal{P}) \;+\; \gamma \cdot \sigma_{\max}(\mathcal{P})

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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