cpiegore's user avatar
cpiegore's user avatar
cpiegore's user avatar
cpiegore
  • Member for 8 years, 5 months
  • Last seen this week
  • Lisle, IL
12 votes
1 answer
1k views

Does an iterated exponential $z^{z^{z^{...}}}$ always have a finite period

11 votes
3 answers
1k views

Number system with $e^x = 0$ for some $x$

10 votes
2 answers
14k views

Dividing a circle into $3$ equal pieces using $2$ parallel lines

9 votes
5 answers
469 views

Proving that $\cos(\frac{\arctan(\frac{11}{2})}{3}) = \frac{2}{\sqrt{5}}$

8 votes
3 answers
3k views

Convergence properties of $z^{z^{z^{...}}}$ and is it "chaotic"

7 votes
2 answers
453 views

Examples of functions that do not belong to any Baire class

5 votes
1 answer
689 views

Function that is continuous only on the transcendental numbers

4 votes
3 answers
1k views

Proving that if $|W(-\ln z)| < 1$ then $z^{z^{z^{z^...}}}$ is convergent

4 votes
5 answers
2k views

If $f:\mathbb{R}\mapsto\mathbb{R}$ is a non-constant periodic function than $\lim_{x \to \infty} f(x)$ does not exist

3 votes
1 answer
501 views

Infinite tetration of $-2.5$

3 votes
1 answer
385 views

Prove if $t = W(-\log z)$, $|t| = 1$, and $t^n \ne 1$ than $z^{z^{z^{...}}}$ does not converge

3 votes
1 answer
533 views

Understanding Baker and Rippon's proof of a result in iteration theory

2 votes
2 answers
829 views

Convergence or divergence of infinite power towers of complex numbers $z^{z^{z^{z{...}}}}$

1 vote
1 answer
3k views

Limit of $\frac{\tan(x)-x}{x^3}$ as $x$ approaches $0$ without L'Hospital's Rule [duplicate]

1 vote
0 answers
95 views

Fast formula for gamma function [duplicate]

1 vote
1 answer
58 views

Homogeneity of $f(x,y) = \frac{3x^2y}{x^2+y^2}$

1 vote
1 answer
2k views

What exactly is a "chaotic" sequence?

1 vote
0 answers
160 views

What would be different about mathematics if there was no way of avoiding Russell’s Paradox

1 vote
0 answers
143 views

Prove the Fundamental Theorem of Calculus without using $\int_a^b f(x)\,\mathrm dx=\int_a^cf(x)\,\mathrm dx+\int_c^bf(x)\,\mathrm dx$

0 votes
2 answers
336 views

Prove $\int_a^b f(x)\,\mathrm dx=\int_a^cf(x)\,\mathrm dx+\int_c^bf(x)\,\mathrm dx$ without the Fundamental Theorem of Calculus

0 votes
1 answer
145 views

If $A,B \subset \mathbb{R}^n$ are disjoint non-empty and open then $\exists x \in \mathbb{R}^n$ such that $x \notin A \cup B$

0 votes
1 answer
541 views

If $|t| = |W(-\ln z)| = 1$ and $t^n =1$ then $z^{z^{z^{...}}}$ is convergent

0 votes
1 answer
88 views

Graph of $f(x,y) = \frac{3x^2 y}{x^2+y^2}$ near the origin

0 votes
1 answer
125 views

Continuity of $x - y\lceil \frac{x}{y} \rceil$

-4 votes
1 answer
585 views

Topological space that is not sequential and not $T_0$ [closed]