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I know it's easy to prove with the help of linear inequalities, but this time I want to prove it with the help of trigonometry. Is it possible? If ye...
I'm a student in an elementary linear algebra course. Without bashing on my professor, I must say that s/he is very poor at answering questions, ofte...
I have absolutely no idea how to find the area centroid of this problem. I have been working at this one for ages but can't seem to get anywhere. Any...
I'm trying to express the $N$-dimensional discrete Fourier transform (DFT) of an $N$-dimensional array as the product between a matrix and a vector. ...
I got this question to find point of symmetry in $$y=\frac{9x+7}{3x+12}$$ As it is, I am not able to see a way to do this. Plotting on google we get that ...
![What's the cross product in 2 dimensions? [duplicate]](https://edu.smbbmcl.edu.pk/uploads/what-039-s-the-cross-product-in-2-dimensions-duplicate_720.jpg)
The math book i'm using states that the cross product for two vectors is defined over $R^3$: $$u = (a,b,c)$$ $$v = (d,e,f)$$ is: $$u \times v = \begi...
I know that the Riemann tensor $R_{\alpha \beta \gamma \lambda}$ for $n$ dimensions has $$\dfrac{n^2(n^2-1)}{12} \tag{1}$$ independent components because ...
I am given the following definition of an $\epsilon$-neighborhood: Given a real number $a\in \mathbb{R}$ and a positive number $\epsilon>0$, the set $$...
I am browsing through / reviewing terminology from a more philosophical standpoint, and landed on the term vector. There are Euclidean vectors which is &q...
What I understand is that the only difference between plus and minus is direction. I've never understood this: That +1 + +1 is +2, why is -1 - -1 not...
