wisefool

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40 Answers

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7
Calculating the integral $\int_0^{\infty}{\frac{\ln x}{1+x^n}}$ using complex analysis
4
How to prove that the zeros of $z^4+iz^3+1$ are in the disk $D(0,\frac{3}{2})$, and determine how many of them are in the first quadrant?
4
Example of a non-injective retract induced homomorphism of fundamental groups
4
Blow-up of $\mathbb{C}^2$ at $(0,0)$
4
Proof that a given matrix has rank $n-1$
3
$A$ is a set of $\mathbb{R^n}$. Defining the function $f:\mathbb{R^n}\rightarrow \mathbb{R}$ by $f (x) = d (x, A) = inf \{ d (x, y), y \in A\}$
3
Show that over any field $K$, such that $\mathbb Q \subset K$ the polynomial $x^3-3x+1$ is either irreducible or splits into linear factors
2
Inequality involving trace and operator norm
2
Approximate 0 with a integer linear combination
2
Moduli Spaces of Higher Dimensional Complex Tori
2
sequence of complex numbers
2
Proving an Entire Function is a Polynomial
2
A basic question about partial differentiation
2
Curved space problem
2
Harmonic Extension
2
Two distinct Eigenvectors corresponding to the same Eigenvalue are always linearly dependent.
2
Equality of absolute values of complex integrals
2
induced connection on open sets
2
Cauchy Riemann conditions
1
How does degree theory imply that this mapping $f$ is locally onto?
1
$f$ is continuous at $c$ $\implies$ $f$ has a limit at $c$. True?
1
bijective and conformal function $f:H\to D$, $ f(z)=\frac{z-z_0}{z-\overline{z_0}}$
1
Prove that $\sum z^n/(1-z^n)$ is holomorphic on the unit disc.
1
projective geometry hyperplane
1
Complex function inequality
1
Smooth map with surjective Jacobian is open
1
Singularity - Removable or Pole?
1
Simple function approximation of a function in $L^p$
1
Spectrum of a projection
1
Find the span of a set of vectors
1 2