darksky
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 19h revised Under certain conditions $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a'}+\frac{1}{b'}+\frac{1}{c'}\Rightarrow \{a,b,c\}=\{a',b',c'\}$ added 582 characters in body 20h answered Under certain conditions $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a'}+\frac{1}{b'}+\frac{1}{c'}\Rightarrow \{a,b,c\}=\{a',b',c'\}$ Mar 15 comment Equilateral triangle with vertices whose coordinates on the Cartesian plane are integers. Does such a triangle exist? It was one google search and 10 seconds away : math.stackexchange.com/questions/105330/…. Please search the web before posting duplicate questions. Feb 3 comment Are binary bit-strings the most efficient representation of integers? No because the entropy of an integet is captured precisely by its binary bits, so it's impossible to be more efficient in representing it. Moreover, the hardware that handles them is built of transistors that are basically binary switches. So other low level representation requires either emulated or completely different hardware. You can maybe try to think about the cpu architecture that perform arithmetic on integers, see if you can be clever. Keep in mind, Intel has been thinking about this for decades. Jan 15 awarded Curious Jan 14 comment Solve $a^x + b^x = c$ for $x$. Numerical methods don't interest me much since we have wolfram alpha for that. But thanks anyways. Jan 14 accepted Solve $a^x + b^x = c$ for $x$. Jan 14 comment Solve $a^x + b^x = c$ for $x$. Well the original question was to solve $6^x - 2^x = 32$. Re-arranging, $3^x - 2^{(5 - x)} = 1$ implies $1 \leq x \leq 5$, so I assumed integer solution and found $x=2$. The solution is probably unique. Jan 14 comment Solve $a^x + b^x = c$ for $x$. Okay, a bit of pity. I was hoping for a clever approach. I'll delete this question in a day or so since it adds nothing for the rest of the community. Jan 14 asked Solve $a^x + b^x = c$ for $x$. Sep 8 accepted Expected number of flips until kth head Sep 8 asked Expected number of flips until kth head Aug 13 comment Find $\int\frac{x^2+x}{(e^x+x+1)^2}dx$ $a^2 (b + c + d)^2 \neq (ab + ac + ad)^2$. The expression for the second integral is incorrect. Aug 13 comment Jobs in industry for pure mathematicians @Vectornaut Let's be clear about what is pure math and what is not. Computational complexity theory (of which quantum computation is a part) is a branch of computer science. Computation theory is an application of math. Also in one of your very example papers, did you notice the word x box 360 live in the title? Think that's a coincidence? I think not. It's another marketing strategy to promote their products. Aug 13 awarded Teacher Aug 13 answered Jobs in industry for pure mathematicians Mar 13 revised product of different order Bessel function integral changed picture formula to latex Mar 13 suggested approved edit on product of different order Bessel function integral Jan 30 accepted In a 4-card hand consisting of only numbered cards (2 - 10), what is the probability that the sum of red cards is twice the sum of black cards? Jan 30 comment In a 4-card hand consisting of only numbered cards (2 - 10), what is the probability that the sum of red cards is twice the sum of black cards? Thank you. Your count matches what I have from my program which solved it by brute-force, so it has to be correct.