I can't solve the following exercise: A random number generator generates random values $U \sim \text{U}(0,1)$ from the standard uniform distribution...

Is there any notation to input falling or rising factorials on WolframAlpha?, the site has info about but i cant find nothing more.

By Eulers identity $e^{i \theta}=\cos(\theta)+i \sin(\theta)$ sine and cosine can be written in exponential form as $\sin(\theta)=\frac {e^{i \theta}-e^{-...

When defining a principal ideal, e.g $I$ $I=aR=(ar:r \in R)$ (an ideal generated by a single element of the ring)do we require the ring to have an identit...

How do I calculate this sum in terms of 'n'? I know this is a harmonic progression, but I can't find how to calculate the summation of it. ...

I am struggling to get the correct answer for the question: What is the magnitude of the displacement of a particle moving in the $x$-$y$ plane with the v...

Let $p\le q$ be roots of the (real) quadratic equation $x^2+ax+b=0$, $|p|+|q|\ne 0.$ Form the new equation $x^2+px+q=0$, find its real roots (if exist), e...

A manufacturer of tablet computers, after extensive research established the following price-demand, and cost functions: $p(x)= 360-20x$ $c(x)= 300+95x$ w...

I am wondering if there is a methodical, algorithmic, brain-dead way to factor polynomials. For example: $x^6 - 14x^{5} + 73x^{4} - 188x^{3} + 256x^{2} - ...

I'm given the following formulas: In my book, one of the examples is as follows: This confuses me as to what exactly I'm supposed to put in plac...