New user? Sign up

Existing user? Sign in

Let \(C\) be a circle of unit radius centered at the origin, and \( P = (-x_0,0)\) a point outside of it, where \(x_0>1.\) Let \(A\) and \(B\) be the 2 ...

Evaluate the following integral:

\[\large \int_{ - \infty}^{\infty} \frac{\cos x}{1+x^2} dx.\]

Let \(n \in \mathbb{N}_{> 0}\) and consider the binomial expansion of \[(x+y)^n = \sum\limits_{k=0}^{k=n} \alpha_k x^k y^{n-k}\] where ...

\[ \large \dfrac{1}{2 \pi \hbar}\iint\limits_{\mathbb{R}^2} \left (q-\frac{x}{2} \right )ke^{\frac{i}{\hbar}(p-k)x} \, dx dk\]

Let be \(p\), \(q\) are ...

First, do have a look at the first part.

Continuing where we left off, we found our two stereographic projections, \(f\) and \(f'\) which cover the whole of our circle ...

Problem Loading...

Note Loading...

Set Loading...