\$ 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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Asking for help, clarification, or responding to various other answers.Making statements based on opinion; earlier them up with referrals or an individual experience.

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

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