KingGeorge
Name:
George
School:
About:
I graduated from CU-Boulder with a math major and am currently 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."
0
Questions Asked
KingGeorge:
Group Title
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 2 years ago
8 replies
2 Medals
Mathematics
KingGeorge:
Group Title
[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 2 years ago
23 replies
3 Medals
Mathematics
KingGeorge:
Group Title
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 2 years ago
11 replies
4 Medals
Mathematics
KingGeorge:
Group Title
[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 2 years ago
3 replies
1 Medal
Mathematics
KingGeorge:
Group Title
[SOLVED by @eliassaab] Define a function \(f: \mathbb{Z}^+ \longrightarrow \mathbb{Z}^+\) such that \(f\) is strictly increasing, \(f\) is m…
updated 2 years ago
19 replies
3 Medals
Mathematics
KingGeorge:
Group Title
[SOLVED] George's problem of the [insert arbitrary time unit]
Define a function \(f: \mathbb{Z}^+ \longrightarrow \mathbb{Z}^+\) such that …
updated 2 years ago
85 replies
4 Medals
Mathematics
KingGeorge:
Group Title
[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:
Group Title
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:
Group Title
[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:
Group Title
[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:
Group Title
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:
Group Title
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:
Group Title
[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:
Group Title
[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:
Group Title
[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:
Group Title
[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:
Group Title
[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 5 months ago
11 replies
2 Medals
Mathematics
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