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All questions asked by cool breeze

List all solved & unsolved questions asked by cool breeze

If you think a stock will go up, and want to maximum while it is climbing

1   Personal Finance & Money Asked on 12/14/2020

stocks 

Does there exist a closed form for $int_0^{pi/2}frac{x^2 text{Li}_2(sin^2x)}{sin x}dx$?

0   Mathematics Asked on 11/15/2020

closed form  harmonic numbers  integration  polylogarithm  sequences and series 

Does pairwise independence and same distribution imply trivial Invariant $sigma$-algebra?

1   Mathematics Asked on 11/14/2020

ergodic theory  law of large numbers  probability theory 

An inequality involving positive real numbers

1   Mathematics Asked on 11/14/2020

inequality  logarithms 

how to convince myself cos(A-B) proof works for all positions of A and B?

1   Mathematics Asked on 11/13/2020

geometry  proof writing  trigonometry 

Divergence of a function product with functions in $L^infty (Omega)$ and $H^1(Omega)$

2   Mathematics Asked on 11/12/2020

distribution theory  partial differential equations  sobolev spaces  weak derivatives 

Area of a triangle using determinants of side lengths (not coordinates of vertices)

0   Mathematics Asked on 11/12/2020

area  determinant  triangles 

Prove that iterated $x_{i + 1} = x_i - log x_i$ is sublinear.

3   Mathematics Asked on 11/12/2020

computational complexity  recurrence relations 

Find value of $ frac{C_0}{2}-frac{C_1}{3}+frac{C_2}{4}+...+(-1)^nfrac{C_n}{n+2}, $ where $C_i = binom{n}{i} $

2   Mathematics Asked on 11/11/2020

combinations  combinatorics  integration 

Find the number of solutions for the equation $(F(x))^2=frac{9x^4}{G(x)}$

1   Mathematics Asked on 11/11/2020

ordinary differential equations 

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