Azur's user avatar
Azur's user avatar
Azur's user avatar
Azur
  • Member for 5 years
  • Last seen this week
13 votes
Accepted

Proof of Cartan lemmma : why are the coefficients smooth?

5 votes
Accepted

what actually is a manifold?

5 votes
Accepted

Can de Morgan's laws be applied to probability?

5 votes
Accepted

How to compute differential forms multiplied by functions

4 votes
Accepted

Prove that a solution to differential equation $x'=f(x)$ is bounded with $\left| f(x)-\cos(x)\right|\leq1$.

4 votes

What is the geometric interpretation of a cartesian equation of a line?

3 votes

Interpretation of the heat equation

3 votes

Show that $\int^{\infty}_{-\infty}\frac{dx}{(x^2-4x+5)^2} = \frac{\pi}{2}$ using residue theory

3 votes

What does "globally defined smooth basis will not exist for two sphere" mean?

3 votes
Accepted

Proving nonexistence of a $1-1 $ continuous correspondence between $\mathbb{S^1}$ and $[0,1]$.

3 votes

What is the "typical" map between surfaces?

3 votes

Connections on a complex line bundle

2 votes

$f: X \times Y \mapsto \mathbb{R}$ and $g: Y \mapsto \mathbb{R}$ are continuous, then $f+g$ is continuous on $X \times Y$

2 votes

Quantum algorithm

2 votes
Accepted

If a function $f:\Omega \rightarrow \mathbb{C}$ is holomorphic with $f'(z_0)\neq 0$, then f preserves angles at $z_0$?

2 votes
Accepted

How does $\frac{1}{2jw(1+jw)}$ become $\frac{-j(1-jw)}{2w(1+w^2)}$, where $j^2=-1$?

2 votes
Accepted

How to determine if two vehicles will be in the same place during movement?

2 votes

Showing that $X = int(A) \cup Fr(A)\cup int(X-A)$

2 votes
Accepted

What does "Group" generalize?

2 votes

Do we always get the same dimension regardless of the manifold/topological structure?

2 votes
Accepted

The multiplication of two power series

2 votes
Accepted

Show that if $(S,d_S)$ is complete then $S$ is a closed subset of $X$.

2 votes
Accepted

If two matrices are similar to the same diagonal matrix are they similar?

2 votes
Accepted

Rule of differentiation and continuity

2 votes
Accepted

Is $\frac{ax}{z}+\frac{by}{z}=c$ a linear equation?

2 votes
Accepted

find $\ \mathbb{Q}^\text{o}$( interior of $\mathbb{Q}$) in $\mathbb{R}$ in the following cases

1 vote

Do $n \times n$ diagonalizable matrices with equal eigen values commute with all $n \times n$ matrices$?$

1 vote
Accepted

Dimension of the spanned subspace

1 vote

Solve an ODE system

1 vote
Accepted

Showing $x^m$ is an automorphism