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.

(1−s)(10)+s(1.00)(1−s)(10)+s(0.25)=10−9s10−9.75s\frac{(1-s)(10) + s(1.00)}{(1-s)(10) + s(0.25)} = \frac{10 - 9s}{10 - 9.75s}

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.

f^(x)=f(x)+εdisc(h)+εround(u)+εmodel\hat{f}(x) = f(x) + \varepsilon_{\text{disc}}(h) + \varepsilon_{\text{round}}(u) + \varepsilon_{\text{model}}

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.

x^=arg⁡min⁡x  ∥Ax−b∥22+λ∥Lx∥22\hat{x} = \arg\min_{x} \; \lVert Ax - b \rVert_2^2 + \lambda \lVert Lx \rVert_2^2

1 published occurrence

View equation in context

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.