I don't think that there is any good engineer or scientist that can get along on an IQ of 100, which is the average for human beings.In other words, he has to have an IQ higher than that. Everyone in this room is considerably above that. This, we might say, is a matter of envi...
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This is my second go around teaching rigorous multivariable analysis — key points are the multivariate chain rule, the inverse and implicit function theorems, Fubini’s theorem, the multivariate change of variables formula, the definition of manifolds, differential forms, Stokes’ theorem, the degree...
Indeed, when the direction of L→ significantly departs from that of the axle of the wheels, it becomes harder to keep control of the motion! 1.2.4 Inertia forces in an accelerated reference frame It is not always convenient to formulate the equations of motion of a system by using ...
A conventional wisdom in numerical analysis is that it is harder to compute the condition number of a given problem instance than solving the problem itself [38,39]. This viewpoint led Smale to initiate the study of the probability distribution of condition numbers: If the condition number is ...
Consider 4, which is a nice small, round number. There are infinitely many ways to get 4 as the answer to an equation by using arithmetic, algebra, differential calculus, integral calculus, and so on. Here are three of the many possible ways of writing an algebraic equation, whereystands...