# G.T.R

less info
reputation
11044
bio website location France age 19 member for 1 year, 9 months seen 5 hours ago profile views 1,437

I study post-secondary mathematics, physics, chemistry and theoretical computer science.

My interests encompass:

• metric spaces
• functional analysis
• real analysis
• abstract algebra

I recently fell in love with Baire category theorem.

If you want to know what I like in mathematics, see my favorite questions.

$\begin{array}{ccccc} f & : & E & \to & F \\ & & x & \mapsto & f(x) \\ \end{array}$

# 151 Questions

 45 Polynomials such that roots=coefficients 33 A game with $\delta$, $\epsilon$ and uniform continuity. 25 Are most matrices invertible? [duplicate] 19 $f^2+(1+f')^2\leq 1 \implies f=0$ 15 $a_{n+1}=|a_n|-a_{n-1} \implies a_n \; \text{is periodic}$

# 4,881 Reputation

 +10 Computing $\lim_{n \rightarrow\infty} \int_{a}^{b}\left ( f(x)\left | \sin(nx) \right | \right )$ with $f$ continuous on $[a,b]$ +10 Example of $f,g: [0,1]\to[0,1]$ and riemann-integrable, but $g\circ f$ is not? +5 Peculiar numbers +5 Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$

 20 'Obvious' theorems that are actually false 9 Eigenvalues for $AB$ and $BA$ when $A$ and $B$ are not square 8 Existence of functions which satisfy some conditions 6 Show that $AB^{-1}$ and $B^{-1}A$ have the same eigenvalues 6 Polynomials such that roots=coefficients

# 116 Tags

 57 real-analysis × 58 18 matrices × 26 43 calculus × 26 15 integration × 18 40 linear-algebra × 36 14 polynomials × 18 29 sequences-and-series × 50 13 limits × 11 21 eigenvalues-eigenvectors × 8 12 analysis × 10

# 16 Accounts

 Mathematics 4,881 rep 11044 Puzzling 324 rep 11 Mathematica 162 rep 6 Physics 118 rep 4 English Language & Usage 113 rep 5