Is there a symbol used to say “subject to”

notationoptimization

Long story short: I am writing notes which happen to use the expression "subject to" a lot. I would like to keep this shortened by using a symbol to represent the same, but have been unable to find one.

Context: Mostly, optimisation problems where:
$$
\min \mathbf{J} \quad \text{subject to} \; f
$$

Where $f$ – constraint; $\mathbf{J}$ – cost function

Is there a symbol to represent this?

If more context is needed, I can provide more actual examples.

Best Answer

I have seen two purely notational ways to do this (although I'm sure there are more): $$ \min_{f(x)=0}\mathbf J(x)\\ \min \{\mathbf J(x)\mid f(x)=0\} $$ Which one you like best is up to you.

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