Product of sines

$$\prod_{k=1}^{n-1}\sin\left(\frac{k\pi}{n}\right)$$
at

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

Property of join

 Let $X$ be path-connected and $Y$ be arbitrary topological space. Then the join $X*Y$ is simply connected.   $\textbf{Proof}.$ We use Van K...

  • OMOUS 2024
    Let $A$ be a real matrix such that $A+A^2A^t+(A^t)^2=0$. Prove that $A=0$. $\textbf{Solution}.$ Multiply the given equation by $A^t$ from th...
  • Modification on a sequence from VJIMC
    The first two limits of the following problem were proposed at VJIMC, 2005, Category I. The exact value of the last limit was proposed by a ...
  • Homotopy type of R^3\(circles)
    $\mathbf{1}$. The spaces $X=\mathbb{R}^3\setminus S^1$ and $S^{1}\vee S^{2}$ are homotopy equivalent. First we rewrite $X\cong S^3\setminus ...