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5 votes
Accepted

Let $G$ be a group of order 35. Show that $G \cong Z_{35}$

5 votes
Accepted

Non diagonalizable normal, linear and bounded operator

4 votes
Accepted

Intuition behind nets

3 votes

Must the set of explosion points be countable?

3 votes

Integration of some peculiar functions like factorial function

3 votes

how to show that $C[0,1]$ is not a Hilbert space with respect to any inner product

3 votes
Accepted

$Q \in \mathcal{X} \otimes \mathcal{Y}$ implies $\overline{Q } \in \mathcal{Y} \otimes \mathcal{X}$

3 votes

Limit points and subsequences

3 votes

Why is $\lim \limits_{h \to 0} \frac{e^{h} - 1}{h} = 1$?

2 votes

Function that maps the "pureness" of a rational number?

2 votes

Show that the given function is a uniformly continuous function.

2 votes

What is the smallest ideal?

2 votes

Let $f: [0,\infty] \to \mathbb{R}$ be continuous such that its limit tends to $0$ as $x \to \infty$. Prove that $f$ is uniformly continuous.

2 votes
Accepted

Prove that if A, B are n x n matrices and AB is a product of elementary matrices, then A is also a product of elementary matrices.

2 votes
Accepted

Show $H$ is normal in $G$

2 votes

$a-b$ divides $a^n-b^n$

2 votes

Application of Cauchy's integral formula.

2 votes
Accepted

A small problem regarding compactness.

1 vote
Accepted

Prove that $\text{aff}(X) = \text{aff}(\text{closure}(X))$

1 vote
Accepted

If $ T: V \to V $ is an operator such that for all $ g \in G $, $ T \Pi (g) = \Pi (g) T $ implies $ T = \lambda Id $ , then $ \Pi $ is irreducible.

1 vote

Can one define a matrix norm invariant under $SL(2,\mathbb{C})$?

1 vote

Integrating $\int _0^1\frac{\ln \left(1-x\right)}{x^2+1}\:dx$

1 vote
Accepted

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

1 vote
Accepted

Intersections of two curves in $\mathbb{R}^n$

1 vote

How many combinations are there under these conditions below?

1 vote

The dual space of $L^1[0,1]$

1 vote
Accepted

Strange form of Taylor's Theorem for linearization

1 vote

Show that the following are equivalent:

1 vote
Accepted

arc length parametric curves

1 vote

Derivative of a function defined by an integral with $e^{-t^{2}}$