I'm currently a 4th year student at a university. I've become close with a professor and we talked about the topic of lie groups in differential...

The problem is completing the square of X^2 +6x +12=0.As I’m looking at each step they put add 9 on both sides. I’m puzzled on how did they get 9?

I am confused about the following two observations which seem contradictory: It is stated that the region of convergence of the Laplace transform is a hal...

If the ratios sine, cosine and tangent are applicable to right angled triangles, then how can they be applicable for the angles of 0, 180 and 360 degrees?...

Q:" G group, H subgroup. G=D6, D diedras group, and H=. Find the cosets of H." I don't understand the method to find the cosets, I've searched f...

I know that $$ {\tan}^2\theta = {\tan}\theta \cdot {\tan}\theta $$ So I guess the superscript on a trigonometric function is just like a normal superscrip...

Let us consider a complex symmetric matrix $\Omega$. The Autonne-Takagi factorization tells us that a unitary matrx $U$ exists such that $$U^T\Omega U = D...

Probably a dumb question but I missed college for a week due to sickness. The exercise I have to do is: d/dt eight root of t^7. Does this simply mean I ha...

I'm currently self-studying complex analysis (CA), and reading "Visual Complex Analysis" by Tristan Needham. I'm absolutely fascinated by how mu...

I am a bit confused about the difference between a scatter matrix (I believe it is sometimes called a scatter matrix) and the covariance. Some distributio...