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May
19
awarded  Caucus
Apr
22
comment Sums that are pythagorean and normal
I want to know a way of generating all pairs of sets like {{3,4,15},{9,13}} that have the property that they have the same sum and also the same sum of squares
Apr
22
awarded  Commentator
Apr
22
comment Sums that are pythagorean and normal
I can't find any good tags for this problem. I tried pythagorean triples, pythagorean sums, anything starting with pytha, but nothing came up
Apr
22
asked Sums that are pythagorean and normal
Apr
17
comment First $n$ digits of Graham's Number
Can anyone think of any other good tags for this problem? big-numbers was all I could find
Apr
17
asked First $n$ digits of Graham's Number
Feb
27
accepted An Intuitive Partition for the Catalan numbers
Feb
26
asked An Intuitive Partition for the Catalan numbers
Oct
5
awarded  Scholar
Oct
5
accepted First-order proof that there is no largest prime
Oct
5
comment First-order proof that there is no largest prime
I googled "the beta function trick" but couldn't find it. What is that?
Oct
5
awarded  Student
Oct
5
asked First-order proof that there is no largest prime
Aug
4
comment What are the chances of three consecutive hands of all vowels in Scrabble?
In general I think all-vowel hands come up because we don't use our vowels as quickly as we use our consonants. I think it's very rare that anyone actually draws a all-vowel hand on the first turn. But if you tend to play 2 consonants to every vowel it won't take long before you reach an all-vowel hand (Typical since it's easy to play off your opponents vowels). Furthermore every time you draw a consonant thereafter, your temptation is to play it instantly so you get stuck in this position. Most of my friends rarely (if ever) use the exchange option. I use it more than anyone else I know.
Aug
4
comment What are the chances of three consecutive hands of all vowels in Scrabble?
Actually, knowing that 8 of the opponents tiles are 4 vowels and 4 consonants reduce the set you're drawing from to 38 vowels and 52 consonants, so knowing what letters your opponent plays matters a little bit.
Aug
4
comment Consider $x = (2+\sqrt[]{3})^6$, $x=[x]+t$, where $[x]$ is the integer part of $x$, and $t$ is the 'non integer' part of $x$. find $x(1-t)$
And I was working all the numbers out by hand. I got as far as recognizing that the integer part of (2+sqrt(3))^6=1351+[75660/56] if I didn't make any mistakes anywhere... Checking in Python, I see I was off by one. I thought Newton's method gave under-approximations for square roots but I was wrong, it gives over-approximations
Aug
4
comment 'Linux' math program with interactive terminal?
In my Cryptography class, we used Sage for everything. The professor would spend the second part of pretty much every lecture giving Sage examples relating to the first part of the lecture. It's a very powerful tool.
May
16
awarded  Editor
May
15
comment Examples of mathematical induction
The one for winning nim is good because it makes induction practical. By understanding it, you can actually win a game.