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  • 0 posts edited
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  • 30 votes cast
Oct
28
comment Two basic question on set theory
Using your own logic, how can you get 62 proper subsets out 2^6 total subsets? Why are you subtracting two and not one?
Oct
28
comment Two basic question on set theory
You could also get there directly, by asking how many subsets you can make out of {2,3,4,5,6} which 2^5 then subtract the one which is the whole set and get 2^5 - 1 = 31
Oct
27
comment How safe is it to ignore low probability events?
my point is that in most cases, a MTTF estimate includes a huge number of assumptions about what you know about the system. In a mathematically "closed" problem like SHA-256 you can be confident in these assumptions. But in most cases, multiple failure pathways are overlooked.
Oct
27
comment How safe is it to ignore low probability events?
If the totalitarian principle is to be believed then everything not forbidden is compulsory
Oct
27
comment How safe is it to ignore low probability events?
Failure rates estimates are entirely unreliable. take for example, the Space Shuttle. Official stated MTTF is >10K launches. As both Feynman (who was on the Columbia disaster investigation committee) and reality showed, the real number is close to 50.
Oct
27
awarded  Commentator
Oct
27
comment Windows lightweight Math Software
@Vojtech It's pretty good for basic plotting. It has a syntax that is pretty much identical to matlab. A lot of people (me included) use it to plot figures for papers
Oct
27
revised Windows lightweight Math Software
deleted 10 characters in body
Oct
27
answered Windows lightweight Math Software
Oct
27
comment Do the equations used in Stargate make sense or are they gibberish?
I know the equation you are talking about (the one Chloe solved). From what I remember it was a simple integral (I didn't pay too close attention so it may have been improperly written) that any 1st year calculus student can solve.
Oct
27
accepted Subgroups of finitely generated groups are not necessarily finitely generated
Oct
27
comment Identity involving Euler's totient function: $\sum \limits_{k=1}^n \left\lfloor \frac{n}{k} \right\rfloor \varphi(k) = \frac{n(n+1)}{2}$
What immediately jumps out is how such a complicated function like the totient function has an identity involving the simple summation of integers 1 to n. Seems like a good way to prove it is to show that the expression inside the sum is a "rearrangement" of the sequence of integers 1 to n
Oct
27
awarded  Supporter
Oct
26
comment Are Continuous Functions Always Differentiable?
As the last American president demonstrated, every potential threat deserves maximum military action.
Oct
26
answered Are Continuous Functions Always Differentiable?
Oct
26
asked Subgroups of finitely generated groups are not necessarily finitely generated
Oct
15
comment The Hangman's Noose - A Logical Paradox
I understand that its an open question and that there is much debate on the topic, no reason not to extend the debate to here.
Oct
15
asked The Hangman's Noose - A Logical Paradox
Oct
15
accepted Coloring the faces of a hypercube
Sep
29
answered How do you define functions for non-mathematicians?