Supriyo

 23 Real world application of Fourier series 18 For which primes p is $p^2 + 2$ also prime? 15 Derivatives by complex number and conjugate 10 Prove that $\sqrt{n} > \ln n$ 9 What are the main uses of convex functions?

### Reputation (5,600)

 +10 Complement of set of all condensation point for an uncountable set of reals is at most countable. +10 Let $T:V\to V$ be a linear map, as $V$ is a finite inner product space. Given $T^2=\frac{T+T^{*}}{2}$, prove that $T$ is normal and that $T=T^2$ +10 Difference between Analytic and Holomorphic function +10 Every subspace of $\mathbb{R}^n$ is a solution space of a homogeneous system of linear equation.

### Questions (81)

 51 Difference between Analytic and Holomorphic function 21 composition of two uniformly continuous functions. 12 Product of path connected spaces is path connected 9 What is the maximum number of pieces that a pizza can be cut into by 7 knife cuts? (NBHM 2005) 9 What type of singularity $\sin(\frac{1}{\cos(\frac{1}{z})})$ has? (GATE 2009)

### Tags (117)

 79 real-analysis × 46 23 applications × 2 37 calculus × 15 23 fourier-analysis × 2 25 complex-analysis × 19 23 fourier-series 25 sequences-and-series × 19 23 signal-processing 24 analysis × 21 18 inequality × 4

### Bookmarks (3)

 799 How to study math to really understand it and have a healthy lifestyle with free time? [closed] 77 Motivation for spectral graph theory. 2 Drawing graphs with eigenvectors