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Reveillark
  • Member for 8 years, 5 months
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20 votes
Accepted

Intuition on spectral theorem

17 votes

How can I find $\lim_{x \to 0}\left(\frac{e^{2\sin x}-1}{x}\right)$ without l'Hopital's Rule?

11 votes

Proving the converse of "A Cartesian product of a finite number of compact spaces is itself compact."

10 votes
Accepted

Finding Jordan Canonical form given the minimal and characteristic polynomial.

10 votes

Calculate limit without L'Hopital's rule

9 votes
Accepted

$x^2\ast y = y = y \ast x^2$ implies commutativity?

9 votes
Accepted

$ \lim_\limits{n \to \infty}{\frac{10^n+n^2}{n!}} $

8 votes
Accepted

What is the requisite knowledge in logic required to study forcing?

8 votes
Accepted

How to prove that there are no integers a,b such that $b^2=4a+2$

7 votes
Accepted

L is a complete lattice, prove that there exists $x \in L$, which is a fixed point of $f$ and is the smallest $y$ that $f(y) \le y$.

7 votes

Limit problem: $\sqrt{x+1} - \sqrt{x}$ as $x$ approaches infinity

7 votes

Is $A+B$ a connected set?

7 votes
Accepted

'Amount' of nowhere-differentiable functions in $C([0,1])$?

6 votes

function with two variables

6 votes

Example of a countable compact set in the real numbers

6 votes
Accepted

Show that a closed convex ball implies the triangle inequality

6 votes

Find all real functions that satisfy the functional equations $f(x+y) = f(x) + f(y)$ and $f(xy)=f(x)\,f(y)$

6 votes

Hilbert spaces: Orthonormal set has a dense span iff the only vector orthogonal to it is zero.

6 votes
Accepted

If $2^{\aleph_0}=\aleph_2$, what is known about $2^{\aleph_1}$?

5 votes
Accepted

Does $\mathbb{N}\cup\{\omega\}$ satisfy true arithmetic?

5 votes
Accepted

When do we need ZFC models to be transitive?

5 votes
Accepted

Problem with real differentiable function involving both Mean Value Theorem and Intermediate Value Theorem

5 votes
Accepted

Finding third vector to form basis of $\mathbb{R}^3$

5 votes
Accepted

Show $A \subseteq X$, $X$ normal, is separated by a continuous function iff $A$ is closed $G_\delta$

5 votes

Equivalence relation on class of all sets

5 votes

Prove that $\sqrt{2+\sqrt 3}$ is irrational

5 votes
Accepted

No need for chain rule with $f'(g(x))?$

5 votes

$AB - BA$ can't equal to Unit matrix

5 votes
Accepted

Showing $\lim_{x\to 0}\frac{\sin(x^2\sin\frac{1}{x})}{x}=0$

5 votes

Without using truth tables show that $p \to (p \vee q)$ is a tautology.

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