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All questions asked by David Karam

List all solved & unsolved questions asked by David Karam

How can I be short volatility on a stock without getting exposed to moves in the underlying?

2   Personal Finance & Money Asked on 05/02/2021

implied volatility  options 

Real Analysis Methodologies to Prove $-int_x^infty frac{cos(t)}{t},dt=gamma+log(x)+int_0^x frac{cos(t)-1}{t},dt$ for $x>0$

1   Mathematics Asked on 12/21/2021

euler mascheroni constant  improper integrals  real analysis  special functions 

Determine the $lambda in mathbb{R}$ for which this integral converges

2   Mathematics Asked on 12/21/2021

algebraic geometry  calculus  convergence divergence  integration 

How to prove that there is an infinite number of primitive pythagorean triples such as $b=a+1$ and $2 | a$?

2   Mathematics Asked on 12/21/2021

coprime  elementary number theory  number theory  pythagorean triples 

$int_0^1frac{lnleft(1-tright)ln^3 t}{2-t}dt$

1   Mathematics Asked on 12/21/2021

definite integrals  harmonic numbers  integration 

Convergence of $sum_{n=1}^infty frac{(-1)^n}{x^2-n^2}$ in the reals and in the complex numbers

2   Mathematics Asked on 12/21/2021

convergence divergence  real analysis  sequences and series 

Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

1   Mathematics Asked on 12/21/2021

cohen macaulay  commutative algebra  gorenstein  homological algebra  local cohomology 

Is the set ${x in mathbb R^n : d(x, M) = c}$ a smooth manifold for a small constant $c$ when $M$ is a smooth manifold embedded in $mathbb R^n$?

1   Mathematics Asked on 12/21/2021

differential geometry 

Topological proof that a continuous injective real function on an interval has a continuous inverse

3   Mathematics Asked on 12/21/2021

continuity  general topology 

Uniform motion question

3   Mathematics Asked on 12/21/2021

physics 

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