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May
7
comment On the probability that two positive integers are relatively prime
Cool. I did not anticipate this would lead to talk about amenable groups. I just learned about them recently in connection with the Banach-Tarski paradox and ergodic measures.
May
7
comment On the probability that two positive integers are relatively prime
Are these "densities" the same as "Banach means" as in the first answer above? In any case, would it be correct to say that "the density that two random positive integers are coprime is $6/\pi^2$"?
May
6
asked On the probability that two positive integers are relatively prime
Apr
25
awarded  Nice Question
Apr
21
accepted Solving a peculiar system of equations
Mar
23
comment Continuity of a function that maps a point to the closest point on a compact convex set
I understand the proof and the idea behind. Very nice. Thanks.
Mar
23
accepted Continuity of a function that maps a point to the closest point on a compact convex set
Mar
21
comment Prove that 2 of 3 triangles sharing one side overlap
That is very clever. Thanks.
Mar
21
asked Continuity of a function that maps a point to the closest point on a compact convex set
Mar
21
accepted Prove that 2 of 3 triangles sharing one side overlap
Mar
20
revised Prove that 2 of 3 triangles sharing one side overlap
added 77 characters in body
Mar
20
comment Prove that 2 of 3 triangles sharing one side overlap
Point taken. I have added an explicit question. I like the idea of dividing the plane as you suggested and will think about it some more.
Mar
19
asked Prove that 2 of 3 triangles sharing one side overlap
Feb
15
answered dy/dx when x and y are functions
Feb
14
comment dy/dx when x and y are functions
I did not think about the inverse function theorem. In any case, when you write $y(t(x))$, are you treating $x$ as a dummy variable? Your last statement gave me an idea: Perhaps $dy/dx$ is the function whose value at $t$ is just $y'(t)/x'(t)$?
Feb
14
asked dy/dx when x and y are functions
Dec
7
awarded  Scholar
Dec
7
awarded  Supporter
Dec
7
comment Solving a peculiar system of equations
Wow! What a clever solution. I like it a lot. Thanks.
Dec
6
awarded  Editor