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What does the "$bigwedge$" symbol mean in the following? I assume it means "and". Am I right?...
Asked on 12/21/2021 by Aqee
2 answerI'm trying to find $f(t)$ such that $$ int_0^{2 pi} f(t + theta) ln(2 sin frac{t}{2}) dt = frac{e^{i theta}}{e^{-i theta} - a e^{i phi}} $$ where ...
Asked on 12/21/2021 by Jay Lemmon
1 answerI was given the function: $$ frac{R+z}{z(R-z)} $$ And I was asked to integrate it around a closed contour to prove: $$frac1{2pi} int_0^{2pi} frac{R^2-r^2}{R^2-2Rrcostheta+r^2} dtheta =1$$ I've seen...
Asked on 12/21/2021 by Juan Esaul González Rangel
4 answerGiven the following ordinary differential equation (ODE) $$frac{dy}{dx} = a y$$ its general solution is $y = c e^{a x}$, where $c$ is a constant. If we...
Asked on 12/21/2021 by Wz S
3 answerI'm reading Ahlfors' complex analysis book. One of the problems in the book says as followsWhat is the value of $1 -omega^h + omega^{2h} -...+(-1)^{n-1} omega^{(n-1)h}$?where $h$ is...
Asked on 12/21/2021
0 answerOriginal question:Suppose $f$ is a real, continuous function defined on the closed set $E subset mathbb{R}^1$. Prove that there exists real, continuous function $g$ on $mathbb{R}^1$...
Asked on 12/21/2021
0 answerIn Chapter IV. A Sequent Calculus in Ebbinghaus' Mathematical Logic, a sequent is defined as:If we call a nonempty list (sequence) of formulas a sequent,...
Asked on 12/21/2021
1 answerI'm doing problem 8 of Cartan Differentiable Calculus book. The problem says as follow: Let $f$ assume its values in a Banach space $E$, an let it be...
Asked on 12/21/2021 by Sebastian Bustos
0 answerSuppose $V_1, dots, V_m$ are vector spaces. Prove that$mathcal{L}(V_1 times dots times V_m, W)$ is isomorphic to$mathcal{L}(V_1, W) times dots times mathcal{L}(V_m, W).$ (Note that...
Asked on 12/21/2021
1 answerLet's say that 10 sumo wrestlers were to squeeze into an elevator that could only hold a max capacity of 2300 pounds. Let's say that the weight of the sumo...
Asked on 12/21/2021 by Frightlin
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