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I was reading this page (http://www.jirka.org/diffyqs/htmlver/diffyqsse25.html) example 4.1.4, which says: Again $A$ cannot be zero if $\lambda$ is to be ...
I know this might seem as a simple question, but I just hope that I can learn how would people normally approach this question? Thanks in advance! Compute...
Inspired by a "real-world" puzzle (actually, an unimportant aspect of a free-to-play game someone I know is playing)... Given an arbitrary (finite) undire...
Im having quite a bit of trouble understanding the Domination and Contraposition Laws in the instance below. I just do not see how the Domination Law, $\r...
In the built-in grapher on Mac devices, expressions such as $x^2-xy+y^2$ (without z= at the beginning) in the 3d grapher are graphed as many spheres of va...
How do you prove that the Sobolev space $H^s(\mathbb{R}^n)$ is an algebra if $s>\frac{n}{2}$, i.e. if $u,v$ are in $H^s(\mathbb{R}^n)$, then so is $uv$...
One of the major contributions Thales is said to have given is the proof that a diameter of a circle bisects the circle, yet Euclid doesn't even bat ...
The matrices $A=\begin{pmatrix}5 & -3 \\ 4 & -2\end{pmatrix}$ and $B=\begin{pmatrix}-1 & 1\\-6 & 4\end{pmatrix}$ are similar. By knowing t...
![Some way to integrate $\sin(x^2)$? [duplicate]](https://news.conceivablytech.com/uploads/some-way-to-integrate-sin-x-2-duplicate_720.jpg)
Because the straight forward approach involves Fresnel integrals I thought about a different approach of taking the imaginary part of $\int_{-\infty}^{\in...
Let $S$ be the region in the plane that is inside the circle $(x-1)^2 + y^2 = 1$ and outside the circle $x^2 + y^2 = 1 $. I want to calculate the area of ...
