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is there a function $gamma(x)$ where when $a$ & $b$ and $a+1$ & $b+1$ are co-prime, $gamma(frac{a}{b})>gamma(frac{a+1}{b+1})$ when you start with $gamma(frac{1}{2})$ you...
Asked on 12/15/2021 by BriggyT
1 answerIf $A$ is a matrix such that $A^T = A^2$, what are eigenvalues of $A$?Now I read somewhere that changing the matrix by taking a transpose does...
Asked on 12/15/2021
2 answerYou have a square. Can you form an odd number of identical triangles inside the square so that the whole square is covered by triangles? Below is an example of...
Asked on 12/15/2021
0 answerIn what follows I'm trying to generalize an approach from Landau & Lifschits Vol 1 -- unfortunately, the authors use it only in Vol 1 discussing Newtonian mechanics. I was...
Asked on 12/15/2021
1 answerThe question is stated as the following to solve for x: $$x+frac{x}{4}+frac{x}{16}+frac{x}{64}+...=1+frac{1}{x}+frac{1}{x^2}+...$$ I have so far determined their infinite series as shown in the title and have been treating...
Asked on 12/15/2021 by B. C.
3 answerGiven a function $$f(k,x)=2|x-1|+k|x-2|+3|x-3|+|x-5|, ~~k=1,2,3$$ which is a five piece continuous function. The question is: can we can tell if there will exist a local minimum without plotting...
Asked on 12/15/2021
1 answerSupposoe we have normal variable $ N(mu_t, sigma_t^2 ) $. Let's define X = $int_0^T N(mu_t, sigma_t^2 ) dt$. Is X also a normal variable?It's simple to...
Asked on 12/15/2021 by Captain Nick
0 answerHere $p$ is a prime. We know that for $Z(SL_2(p)) = { pm I }$ and $lvert SL_2(p)rvert= p^3-p$ so there are $frac{p^3-p}{2}$ inner automorphisms. What...
Asked on 12/15/2021 by David Popović
1 answerIn this section, Strang converts the constant-coefficient differential equation into linear algebra in order to solve them. I was in trouble reading the difference equation in this section which demands...
Asked on 12/15/2021 by oscarmetal break
1 answerI have been searching around and can't seem to find any answer to the following two questions anywhere and it has started to become really frustrating!Prove that the error function...
Asked on 12/15/2021 by Korgboll
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