Description:
Mathematical discussions and pursuits.
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Analysis with s^n < a^m.
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Hello teacher~ Let a > 0 and s be real numbers, and m, n positive integers such that s^n < a^m. Then there exists t in R such that s < t and t^m < a^m. ------------------------------ ------------------------------ ------------ pf) Let t = s + (1/N). t^n = (s + 1/N)^n = sum{k=0 to n} nCk.s^(n-k).(1/N)^k... more »
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Mina is beautiful.
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Hello teacher~ is this a proposition ? Who should decide either true or false ? What's true ? Our proof is true ?
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Mooooo!
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...message ...in ...message ...ah ...detail. ...with ...Deco... ...Day. ...and ...the
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In MAPLE, when I want to extend a polynomial...
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..in x, MAPLE gives me the expansion as a series for example I introduced: p := (x-1)*(3-x)-(x-1)^2*(3-x)^2 and expand(p) is: 4*x-x^2-4-x(3-x)^4+4*x(3-x)^3- 6*x(3-x)^2+4*x(3-x) I want the real expansion of the polynomial. I tried coeff, coeffs, coefficientlist, nothing works if the polynomial is not expanded correctly.... more »
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instructor's solutions manual for Machine Design - An Integrated Approach (3rd Ed., Norton) & instructor's solutions manual for Chemical Engineering Volume 1, 6th Edition, by Richardson, Coulson,Backhurst, Harker & instructor's solutions manual for Computer Networking - A Top-Down Approach (4th Ed., James F. Kurose & Keith W. Ross) & instructor's solutions manual for Fundamentals of Signals and Systems Using the Web and Matlab (3rd Ed., Kamen & Bonnie S Heck) & instructor's solutions manual for Logic and Computer Design Fundamentals, 4/E, by Morris Mano and Charles Kime & instructor's solutions manual for Mechanics of Materials, 7th Edition - James M. Gere & Barry Goodno & instructor's solutions manual for Physics- Principles with Applications with Mastering Physics, 6/E, Douglas C. Giancoli & instructor's solutions manual for Probability & Statistics for Engineers & Scientists (8th Ed., Walpole,Myers, Ye)
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base change and irreducible reduced schemes
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Hi can one say something about the behavior of the properties of a scheme being reduced/irreducible under base change? If the properties are not preserved, what about the following special case: Let X and Y be schemes and consider the product Z=XxY. What is the relation of Z being reduced or irreducible to the same properties... more »
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