A function is a relation that associates each element of one domain to one and exactly one element in it's co-domain. This is the definition of a fun...

I'm unsure about when the Gram-Schmidt process is used to find orthonormal vectors. AFAIK, you use it when you have an eigenvalue that is repeated su...

Partition of a space is a just bunch of subsets of the space such as any element belongs to exactly one subset. However, when we have two disjoint closed ...

Problem Let $f:X\rightarrow Y$ be closed continuous surjective map. Show that if $X$ is normal then So is $Y$. What if we drop the 'closed' cond...

I'm 1st grade Physics student and my school started this week at 16.09.2019. I have seen 4.5 hours of lesson about vectors this week. We have seen su...

What is the average number of times it would it take to roll a fair 6-sided die and get all numbers on the die? The order in which the numbers appear does...

The shaded part for 1 single triangle is $4/9$ths of the total area of the triangle. If this was considered to be 4 units, then the unshaded $5/9$ths woul...

Is there a formular, and if yes, what is it, to describe the relation of faces, edges and vertices in three-dimensional convex bodies. for regular shapes:...

Can someone help me verify if this is true? When using the Alternating Series Test (AST), do I need to look at the absolute values of the terms and see if...

So i have this trigonometric equations: $$2\cos^2(x)+4\sin(x)+\cos(2x)=0$$ I have rewritten the expression and came up with $$(2\sin(x)-3)(1+2\sin(x))=0$$...