$ extmin quad f(x) = (x_1−2)^2+(x_2−1)^2 $ $ exts.t.qquad g_1(x) = x_1 - 2x_2 + 1 = 0 $ $ qquadqquad g_2(x) = fracx_1^24 - x_2^2 + 1 ge 0 $

Usually, the acronym $s.t.$ means

**such that**. In the context of optimization, it way

**subject to**. Additionally note that

**such that**go not have actually the same meaning as

**so that**.

**Such that**, explains how something must be done.

**So that**, describes why something must be done.

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For clarity, it"s usually finest to stop $s.t.$ and simply create **such that**.

Usually in optimization troubles s.t. Is created to represent

**subject to**because, one optimization difficulty is typically of the form:Optimize f(x)

**subject to**the constraint g(x)

In general benidormclubdeportivo.orgematics and logic, **such that** is composed as a colon(:), for e.g.$$x^2: exists n > x forall n in enidormclubdeportivo.orgbbN $$

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Use benidormclubdeportivo.orgJax to format equations. benidormclubdeportivo.orgJax reference.

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