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[P] failure functions - remarks by akdevarajApr 18 Failure functions predict the values of the variable, which when substituted in the mother function, yield failures, in accordance with our definition of a failure. Normally we cannot say anything about the the other values of the variable - they may yield failures or successes. However in the case of the quadratic x^2 + 1 we can definitely say that the values of of x not covered by the failure functions yield only successes - (see sketch proof ). [P] failure functions - another example by akdevarajApr 14 Let our definition of a failure be a non - Devarajnumber which is not a Carmichael number ( see A104017 on OEIS ).Let the mother function be 2^n + 3113.

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Mathematics Books Online General Elementary Algebra & Trigonometry Abstract Algebra Mathematical Analysis & Calculus Differential Equations Linear Algebra Blog : Conrad Wolfram's TED Talk: "Stop Teaching ... November 23, 2010 — Wolfram Blog Team “We have a real problem with math education right now,” is how Conrad Wolfram starts his TEDGlobal 2010 talk in Oxford, in which he reasons through what’s wrong, why, and how we can fix it. Central to Conrad’s argument is the role of calculating—that for the mainstream subject it’s not an end in itself, but a means to an end, and therefore should be wholeheartedly computer based. As he puts it, “Math ≠ Calculating, Math >> Calculating”. He’s optimistic about what’s possible.

Gowers's Weblog A few analysis resources March 12, 2014 This will be my final post associated with the Analysis I course, for which the last lecture was yesterday. It’s possible that I’ll write further relevant posts in the nearish future, but it’s also possible that I won’t. This one is a short one to draw attention to other material that can be found on the web that may help you to learn the course material. It will be an incomplete list: further suggestions would be welcome in the comments below. The Math Forum - Ask Dr. Math Ask Dr. Math® Thank you for your interest in Ask Dr. Math.