Does the laplace transform of $1/t$ exist? If yes, how do we calculate it? Putting it in $$\int_0^\infty (e^{-st}/t) dt$$ won't solve. Is there any o...
I just derived this simple vector identity $$\mathbf{a}\cdot\left(\mathbf{b}\times\left(\mathbf{b} \times\mathbf{c}\right)\right) = \left(\mathbf{a}\times...
In the figure, $ABCD$ is a parallelogram. $E$ is the mid point of $AB$. $DF$ and $CF$ are intersected at $F$. Prove that $4\triangle AEF=Quadrilateral ABC...
There is the following parallelogram involving two shaded triangles. If I found rightly, angles of $AMD$, $BMN$ and $CDM$ are $45$. But I can’t go further.
I was revising some notes and found myself not understanding the Neumann boundary condition. I understand it analytically - it's $\frac{∂u}{∂x}|_{x=0...
I am looking for instructional videos for abstract algebra, specifically topics including group theory, ring theory, isomorphic and homomorphic structures...
I was trapped by this question at least for two hours. I negated the definition of limit first, and then try to prove $$\lim_{x \to 0}\cos\left(\frac1x\ri...