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The first part of this question required me to find out the zeroes of the denominator, and to treat the equation as that of a complex number, which allows us...
Asked on 11/12/2021 by user793781
2 answerConsider the ideal $I=(ux,uy,vx,uv)$ in the polynomial Ring $mathbb Q[u,v,x,y]$, where $u,v,x,y$ are indeterminates. Prove that every prime Ideal containing I contains the Ideal $(x,y)$ or...
Asked on 11/12/2021
1 answerTo begin with, the projective limit of a projective family of norm spaces is a LCTVS (locally convex topological space). However, on the other hand, I want to find an...
Asked on 11/12/2021
1 answerHow can I generally solve equations of the form $mathbf{A} mathbf{w} =begin{pmatrix} x \ y \ z end{pmatrix}times mathbf{w}$ for the matrix $mathbf{A},$ where $mathbf{w}$...
Asked on 11/12/2021 by Kurt Muster
1 answerI'm doing a course in probability and was asked the prove the following. I'd appreciate some feedback on it, thank you. Let $X$ be a self independent r.v. ....
Asked on 11/12/2021 by override
1 answerHopefully I am including the image correctly or this won't make any sense. I am trying to figure out a regular expression for...
Asked on 11/12/2021 by AWu
1 answerI have an ODE as follows- $ifrac{dU}{dz} = -frac{1}{2}betaomega^2U$ where $U = U(z,omega)$ Separating the variables, I got- $frac{dU}{U} = -frac{betaomega^2dz}{2i}$ Integrating, I get- $ln(U) =...
Asked on 11/12/2021
1 answerConsider the equation for a driven harmonic oscillator,$$frac{d^2 x}{d t^2} + omega_0^2x(t) = f(t),$$with initial conditions$$x(0)=left.frac{dx}{dt}right|_{t=0}=0.$$If we assume $omega_0neomega$ then$$x(t)=x_0omega^2begin{cases}frac{omega_0sin(omega...
Asked on 11/12/2021
1 answerI'm halfway through a proof and I'm kind of stuck. The exercise is:Let ${A_i}_{iin {0, 1}}$ be an indexed system of sets. Show that the map $$mathbf f:...
Asked on 11/12/2021
1 answerI show it like this. Assume, $a subseteq {a}$ Let $x in a.~$ Then $x in {a} (∵ a subseteq {a})$ And we know $a...
Asked on 11/12/2021 by Galaxylokka
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