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Static program analysis is the analysis of computer software that is performed without actually executing programs, in contrast with dynamic analysis, which is analysis performed on programs while they are executing.

"Real analysis, or theory of functions of a real variable is a branch of mathematical analysis dealing with the real numbers" — Preceding unsigned comment added by Brad7777 (talk • contribs) 15:49, 23 October 2011 (UTC)

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To analyze and modify manufacturing process in virtual environments, mathematical modeling can be used. Effects and behavior of the system are simulated by mathematical concepts in order to be analyzed and modified.