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How can I find that the following type of problem is a convex of non-convex? $max_{x,y} sum_{i in N} r_{i,O} + sum_{i in Ksetminus N} r_{i,L} $ The equation...
Asked on 01/07/2021 by user814045
1 answerI would like to get the inverse of a 3x3 (covariance) block matrix begin{bmatrix}A&B&C\B'&D&E\C'&E'&Fend{bmatrix} where the prime ' indicates the transposition operator. Is there any general formula (or a...
Asked on 01/07/2021 by Dadoo
1 answerI am still scratching my head trying to develop my intuition about products of simple sums. Is it true that: $$prodlimits_{i=1}^nleft(3 + dfrac{1}{3i}right) < left(3 + dfrac{1}{n}right)^n$$ It seems...
Asked on 01/07/2021 by Larry Freeman
2 answerSuppose that, $limlimits_{xto x_0}f(x)$ and $limlimits_{xto x_0}g(x)$ exist and $limlimits_{xto x_0}g(x)neq0$. Then, prove that $$limlimits_{xto x_0}frac{f(x)}{g(x)}=frac{limlimits_{xto x_0}f(x)}{limlimits_{xto x_0}g(x)}$$...
Asked on 01/06/2021 by Ashish
1 answerI'm trying to find the initial velocity of a tennis ball (magnitude and angle) given the initial height, max height...
Asked on 01/06/2021 by Adrian Taylor
1 answerI have a transfer function $$G(s) = e^{-5.8s}cdot frac{5}{s+5}$$ How to get the $frac{dx}{dt} = Ax+Bu$ form out of it , The example is taken from ...
Asked on 01/06/2021 by Lawliet
3 answerIn munkres topology for theorem 59.3, he provided a homeomorphism between $S^n- p$ and $mathbb{R}^n$,where$$f(x) = frac{1}{1 - x_{n+1}} (x_1, dots , x_n)$$and...
Asked on 01/06/2021 by Bud Light D.Va
1 answerFind the roots of all monic cubics $f(x)$ given $f(2)=1$ and all roots are integral I start with $f(x)=x^3-ax^2+bx-c$,$$8-4a+2b-c=1$$$$-4a+2b-c=-7$$ At this point it...
Asked on 01/06/2021 by jc5535
1 answerSo I have been pondering this question for a while, and nothing is coming through. I have tried multiple $u$-substitutions, and been attempting many other tricks I have learned,...
Asked on 01/06/2021 by Math Bob
1 answerI'm looking for a set of axioms that are reasonably expressive (non-trivial) such that any statement that can be proved as true from the set of axioms can be done...
Asked on 01/06/2021 by Phylliida
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