# Mitsos

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bio website location age 22 member for 1 year, 3 months seen Nov 13 at 22:34 profile views 386

Undergratuate student in the Department of Mathematics in Kapodistrian University of Athens.

 14 How can one find this limit? 7 Construct a conformal mapping from $\Bbb C$ Onto $R$ if such a map exists. And explain why if does not exist. 6 Can $x^3+3x^2+1=0$ be solved using high school methods? 5 Find derivative of $f(x)=(x+2)^{(x-1)}$ 5 Is the function $f\colon \mathbb{R} \to \mathbb{R}$ defined by $f(x)=x+\sin(x)$ uniformly continuous on $\mathbb{R}$

# 3,620 Reputation

 +10 Let $\{a_n\}$ be a positive monotonic decreasing sequence of real numbers. Show $\lim_{k \rightarrow \infty} \frac 1 k \sum_{n=1}^k a_n = \inf a_n$ +30 Let $f(z)$ be a holomorphic function on C. Show that $\overline{f(\bar{z})}$ is holomorphic on C +10 If integral is zero and function is continuous and non negative, then what about the function? +10 Convergence/Divergence of sums

# 4 Questions

 30 The milk sharing problem 1 Equivalance relation [closed] 1 Decay of Fourier coefficients sequence 0 Quantum Mechanics-Question [closed]

# 98 Tags

 67 real-analysis × 68 24 sequences-and-series × 22 45 calculus × 35 23 analysis × 17 32 limits × 16 13 functional-analysis × 17 31 complex-analysis × 27 13 metric-spaces × 10 28 general-topology × 26 10 algebra-precalculus × 6

# 5 Accounts

 Mathematics 3,620 rep 513 MathOverflow 111 rep 2 Electrical Engineering 101 rep 2 Physics 101 rep 2 Area 51 101 rep