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May
29
awarded  Yearling
Apr
22
awarded  Revival
Mar
14
awarded  Nice Answer
Mar
7
comment Complex analysis textbook advise
I think you will find that Needham really does concentrate on the most important stuff - for a serious understanding of what matters in complex analysis. Note sure that size is relevant.
Mar
7
comment Definite Integral of $\sin^4(x)\cos(x).$
What exactly does "them" mean in that comment?
Mar
7
answered Complex analysis textbook advise
Feb
26
comment Sum and Divisibility Puzzle
The title is very misleading - this has nothing to do with unique factorisation.
Feb
26
revised Sum and Divisibility Puzzle
Retagged
Feb
24
answered Integration and measure theories, a reference list
Feb
24
comment if $x^3-x\in\mathbb{Z}$ and $x^4-x\in\mathbb{Z}$ for some $x\in\mathbb{R}$, then $x\in\mathbb{Z}$.
Hmm - you seem to have changed the roles of $a$ and $b$ ... and your statement (2) isn't actually a statement?
Feb
24
comment if $x^3-x\in\mathbb{Z}$ and $x^4-x\in\mathbb{Z}$ for some $x\in\mathbb{R}$, then $x\in\mathbb{Z}$.
Not sure, but I am a bit baffled by your first 2 lines. From your assumptions, it follows that $x+a = x^3$, but you seem to be claiming that $x+a = x.x^3$ - how did you get that?
Feb
24
awarded  Enlightened
Feb
24
awarded  Nice Answer
Feb
20
reviewed Approve Curious representation of primes
Feb
20
comment In the Collatz function, why does $2^k-1$ reach $3^k-1$ after $2k$ steps, and could it be used to find divergent trajectories?
Assuming anyone still believes that he really did have such a proof!
Feb
20
comment In the Collatz function, why does $2^k-1$ reach $3^k-1$ after $2k$ steps, and could it be used to find divergent trajectories?
Since some seriously powerful problem-solvers have attacked this problem (e.g. Erdős), I think we can assume that all elementary approaches such as this have been tried and they have clearly failed.
Feb
13
comment Finding the mod of a difference of large powers
It doesn't help, because both are clearly not divisible by 35. Just find if the two powers have the same residue mod 35
Feb
13
revised Product of the binary quadratic form $Q(x,y)=2x^2+2xy+3y^3$
added 3 characters in body
Feb
13
revised Product of the binary quadratic form $Q(x,y)=2x^2+2xy+3y^3$
edited body
Feb
10
comment Is there formula for the volume of a hexahedron?
Still not sure what this is: what if your last four points do not lie in a plane?