This might sound a little too basic, perhaps too basic for most people to talk about. The question seems vaguely structured - I'm not sure how to phr...

I'm not sure if I should ask this in mathematics or in physics. From what I can tell, there are only 3 dimensions: X, Y, and Z. However, I have seen ...

Every number has the factors of $1$, itself, $-1$, and the negative version of itself (itself multiplied by $-1$). So let's take for example $5$, it ...

I am reading topology by Gf Simmons and I came across a theorem on compactness which stated A topological space is compact if every open basic cover has a...

I have seen some examples of duality. Sometimes applied to theorems, as for example Desargues theorem and Pappus theorem. Sometimes applied to spaces, for...

It is exercise (3.2-8) from Introduction to Algorithms book. I need help to solve it. I am confused by the fact that there are two parameters. Because usu...

For a given pattern (1,4,9,16..) What is the value for the nth number in the series and what is the pattern? We have a difference in opinion with my son&#...

I have some problems with this The annual rainfall (in inches) in a certain region is normally distributed with μ = 40 and σ = 4. What is the probability ...

I was playing around with square roots today when I "discovered" this. $\sqrt{1 + \sqrt{1 + \sqrt{1 + ...}}} = x$ $\sqrt{1 + x} = x$ $1 + x = x^2$ Which, ...

If events $A$ and $B$ both have positive probabilities, and if they are disjoint, they surely cannot be independent since: $$\text{disjoint:}\quad P(A \te...