I have been trying very hard to solve this type of congruence equation: $$ax = b \pmod n$$ and finally managed to actually solve a few by using properties...

The definition of a function, according to the book I have, is: a function is a set of ordered pairs, no two of which have the same first component. Thus ...

If $S = x+x^{2}+x^{4}+x^{8}+x^{16}\cdots$ Find S. Note:This is not a GP series.The powers are in GP. My Attempts so far: 1)If $S(x)=x+x^{2}+x^{4}+x^{8}+x^...

I have this function of a matrix and two vectors: $$f(x, V, y) = x^T V y$$ where $$V \in R^{d \times d}, x \in R^{d}, y \in R^{d}$$ Basically I need to op...

Are these the correct formulas for each of the following? If not, please explain! Find the probability of obtaining three of a kind in a 5-card hand as a ...

Possible Duplicate: Calculating $\sin(10^\circ)$ with a geometric method Evaluate if $\sin10°$ be expressed in real surd form? Thank you!

I can't seem to find the answer to this using Google. Is the transpose of the inverse of a square matrix the same as the inverse of the transpose of ...

$$\int (\log x)^3\,dx$$ I solved the problem by applying integration by parts twice: First, I write the integrand as $(\log x)^2\cdot\log x$, and then I s...

I'm teaching myself math. I was working on $y = -x^2 + 8x$ and I used the quadratic equation to determine the x-coordinates. I ended up with $(0,0)$ ...

With exponentiation, you can raise numbers to complex, irrational, etc. This is defined as such: $$\exp(x)=\sum_{n=1}^\infty{x^n\over{n!}}$$ With $e=\exp(...