KingGeorge
Name:
George
School:
CU-Boulder
About:
I just graduated with a math major and will be going to grad school in the hopes of getting a Ph.D. in mathematics.
"It is absolutely paradoxical; we cannot understand it, and we don’t know what it means, but we have proved it, and therefore we know it must be the truth."
188 helpers are online right now
75% of questions are answered within 5 minutes.
Sign Up
Questions Asked
KingGeorge:
Got another bug for you guys. When I hover my mouse over someone's profile picture, the little page thing that pops up next to my pointer wi…
updated one year ago
8 replies
2 Medals
Mathematics
KingGeorge:
[SOLVED] Here's a neat little combinatorics/graph theory question.
Mr. Smith and his wife invited four other couples for a party. When ever…
updated one year ago
23 replies
3 Medals
Mathematics
KingGeorge:
I was going through the source just for kicks, and is there a good reason that there seem to be details about certain users within the sourc…
updated one year ago
11 replies
4 Medals
Mathematics
KingGeorge:
[SOLVED] For those bored, here's a cute little number theory related problem.
Prove that the fraction \[{21n+4 \over 14n+3}\]is irreducibl…
updated one year ago
3 replies
1 Medal
Mathematics
KingGeorge:
[SOLVED by @eliassaab] Define a function \(f: \mathbb{Z}^+ \longrightarrow \mathbb{Z}^+\) such that \(f\) is strictly increasing, \(f\) is m…
updated one year ago
19 replies
3 Medals
Mathematics
KingGeorge:
[SOLVED] George's problem of the [insert arbitrary time unit]
Define a function \(f: \mathbb{Z}^+ \longrightarrow \mathbb{Z}^+\) such that …
updated one year ago
85 replies
4 Medals
Mathematics
KingGeorge:
[SOLVED] Define a sequence of real numbers by \(a_0=0\), \(a_1=1\), \(a_2=1\) and \[\large a_{n+3}=2a_{n+2}+2a_{n+1}-a_n\]Show that \(a_n\…
updated 2 years ago
30 replies
5 Medals
Mathematics
KingGeorge:
I've got an idea of a possible addition to the settings page. I like the idea of letting OS email me if I'm offline and someone sends me a m…
updated 2 years ago
3 replies
1 Medal
Mathematics
KingGeorge:
[UNSOLVED] Show there are infinitely many primes congruent to \(\pm 2 \mod 5\) without using Dirichlet's Prime Number Theorem/Dirichlet's Th…
updated 2 years ago
3 replies
4 Medals
Mathematics
KingGeorge:
[SOLVED] Another fun/interesting problem!
Show that for any Primitive Pythagorean Triple \((a, b, c)\) such that \(a^2+b^2=c^2\), \(5\) div…
updated 2 years ago
12 replies
4 Medals
Mathematics
KingGeorge:
Approximately every 30 minutes to every hour or so, if I'm logged on continuously, the open study tab I have open crashes. I'm usually on th…
updated 2 years ago
3 replies
No Medals Yet
Mathematics
KingGeorge:
Odd thing happened just now. I refreshed the page, and during the time that it was loading, it showed me the website as if I was logged in …
updated 2 years ago
12 replies
1 Medal
Mathematics
KingGeorge:
[UNKNOWN] Given a group G with infinite order, is it fast to find the inverse of any given element in G?
This question arose in one of my …
updated 2 years ago
8 replies
2 Medals
Mathematics
KingGeorge:
[SOLVED] Prove that \[\sum_{j=0}^n (-1)^j \binom{n}{j} = 0\]For all \(n > 0\).
updated 2 years ago
25 replies
2 Medals
Mathematics
KingGeorge:
[SOLVED] Let \(\alpha := \sqrt{2-\sqrt[3]{5}} \in \mathbb{R}\) Show that \(\alpha\) is algebraic over \(\mathbb{Q}\) by finding a polynomial…
updated 2 years ago
8 replies
3 Medals
Mathematics
KingGeorge:
[SOLVED] Here's a fun question! If you've seen it before, please don't spoil the fun of every one else.
Simplify the expression \[(x-a)(x-b…
updated 2 years ago
9 replies
7 Medals
Mathematics
KingGeorge:
[UNSOVED] What is the largest number (in terms of a, b, c) that can not be expressed in the form \[ax+by+cz\]
where \[x,y,z≥0\]\[gcd(a,b,c)=…
updated 2 years ago
11 replies
2 Medals
Mathematics
< Newer questions