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the branch of mathematics that deals with the mathematical aspects of problems from science and engineering: applied analysis, numerical mathematics, applied statistics etc. (For applications of mathematics in general, cf. also the [applications] tag.)
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Physical and real life interpretation of the concept of regularity used in differential equa...
An obvious other example is that of shock waves, which arise as discontinuous solutions of hyperbolic equations; in the case of acoustic waves in air, we hear the shock as a bang.
More generally, eve …