# Amire

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bio website location Zurich, Switzerland age member for 1 year, 7 months seen 4 hours ago profile views 191

(1) learn what i want to learn.

(2) forgetting what i learned.

(3) relearn what i wanted to learn.

and back to (1).

I'm an undergraduate math student with the goal of reinventing myself day by day, living with what i'm not able to unlearn.

 6 Prove that $\left(\sum_{j=1}^n a_jb_j\right)^2 \le \left(\sum_{j=1}^n ja_j^2\right)\left(\sum_{j=1}^n b_j^2/j\right)$ 6 is $(x+1)^4-x^4$ non-prime for all natural positive integers $x$ 5 Invertibility of non-square matrix 5 How to solve this integral $\int \frac{(1+2x^2)}{x^2(1+x^2)}dx$ 4 Solve $\sqrt{2x-5} - \sqrt{x-1} = 1$

# 1,547 Reputation

 +5 how to extend a basis +5 distance between point and empty set +15 Induction Proof for a series expansion of a function +10 Invertibility of non-square matrix

# 39 Questions

 7 convergence of series with $k!$ 5 interesting Integral , alternative solution. 4 Polynomial differential equation 3 little inequality conjecture 3 Proving $(f^*)^*=f$

# 61 Tags

 15 inequality × 6 8 summation × 2 15 algebra-precalculus × 5 6 sequences-and-series × 6 13 calculus × 12 6 integration × 4 10 matrices × 5 6 prime-numbers × 2 9 linear-algebra × 21 4 limits × 4

# 2 Accounts

 Mathematics 1,547 rep 219 Physics 101 rep 1