I have the following continuous system: \begin{align*} A&= \begin{bmatrix} 0 & 0 & 0 & 0.5 & 0 & 0 & 0 & 0 & 0\\ 0 &am...

I am interested to know the name of the following solid construction - kind of a deformed cube... but I don't know the name, or even a general name: ...

I'm getting started on Fourier series but I'm confused over the formulae involved. My lecturers notes, including Wikipedia state that, for the i...

Calculate $\arg(i)+\arg(-1)$: (a) $\arg(-i) \quad$ (b) $\arg(1-i) \quad$ (c) $\arg(1+i) \quad$ (d) $\text{None}$ I found it $\arg(-i)$ but it's not c...

Why is the limit of $x \log x$ as $x$ tends to $0^+$, $0$? The limit of $x$ as $x$ tends to $0$ is $0$. The limit of $\log x$ as $x$ tends to $0^+$ is $-\...

A rectangular field is bounded on one side by a river and on the other three sides by a fence. Additional fencing is used to divide the field into three s...

I seek a proof of Brianchon's theorem, which states: When a hexagon is circumscribed around a conic section, its principal diagonals (those connectin...

Consider the region bounded by the three curves: $$\begin{aligned} &y=\frac{2x}{5}\\ &y=1\\ & x=x_0 \end{aligned}$$ Assuming a homogenous dist...

For reference:The angle B of a triangle ABC measures 60°. The AN and CM medians are plotted. The radius of the circle inscribed in the MBNG quadrilateral ...

As mentioned above: Is it true that every eigenvalue has at least one eigenvector? Or is it possible that while trying to find the basis of a specific eig...