“programming” here means planning, not coding — the word predates the software sense. 𐃏 a linear program optimises a linear objective over a region carved out by linear inequalities. it is the base camp of mathematical programming: quadratic, integer and non-linear programming all generalise it in one direction or another, and all of them lean on LP machinery (relaxations, duals, warm starts) to get anything done. clrs devotes chapter 29 to it (Cormen, Thomas H. and Leiserson, Charles E. and Rivest, Ronald L. and Stein, Clifford, 2009).
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Knowledge is a paradox. The more one understand, the more one realises the vastness of his ignorance.