What are mathematicians talking about when using the term programming?

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What are mathematicians talking about when using the terms linear programming (LP), quadratic programming (QP), semidefinite programming (SDP), cone programming (CP), dynamic programming (DP), etc?

It's definitely not the same thing as coding, but I am bit confused about the semantics of the term in certain mathematical context.

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There is some discussion of the origins in Program does not equal program: Constraint programming and its relationship to mathematical programming.

Lustig's Ph.D. advisor was George Dantzig, who is often called the "father of linear programming."