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seen Apr 22 at 22:32
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Sep
17
comment How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality
Ahh, perfect. It took me a couple of minutes to see how $(F(y)−F(x))/(y−x)\geq (F(w)−F(z))(w−z)$ would help but I got it. Thanks so much!
Sep
17
comment How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality
@Cristian Good point. This inequality came from some manipulations on another inequality in which there is no $1/(1-\gamma)$ term, so I'll need to specify that this is only in the case where $\gamma<1$. Thanks! EDIT actually I realize now that I'm not making the claim for every $\gamma\in[0,1]$ —I'm just saying that some such $\gamma$ exists. So it's perfectly fine to let $\gamma\in (0,1)$. It just happens to never hold for $\gamma =1$ which makes quite nice sense in the model.
Sep
17
comment How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality
well $\gamma$ is meant to be a probability so $\gamma=1$ would be kind of a degenerate case
Sep
17
revised How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality
updated my progress
Sep
17
asked How to prove that there exist a concave function and $\gamma\in[0,1]$ and some other numbers which satisfy an inequality
Sep
14
comment Probability question with interarrival times
@Sasha You're confusing "chicken" and "hen"
Sep
14
comment Is it possible to iterate through an infinite set?
@Tim Are you thinking of things like mathematical induction, where we show that, where P(n) is a proposition about the number n, if P(1) is true and we show that P(k) implies P(k+1), then we've shown that P(n) holds for every n in \mathbb{N}? There is a sense in which that sort of a proof invokes the idea of iteration over an infinite set.
Sep
12
revised how many items can i fit in my box
edited tags
Sep
12
comment how many items can i fit in my box
Three questions: (1) is 38mm the radius? (2) what have you tried so far? (3) is this a homework problem? I also took off the measure-theory tag since that wasn't the right way to classify this problem.
Sep
12
comment Interesting or non-obvious finite subsets of the natural numbers
This is a good example of a conjecture for which the "obviously infinite test" fails to be conclusive, but I'm looking for a finite subset where the "obviously infinite test" produces the wrong answer.
Sep
12
accepted From which areas of mathematics does consumer theory in microeconomics spawn?
Sep
12
asked Interesting or non-obvious finite subsets of the natural numbers
Sep
11
revised Does ((2^2)^2)^2… = 1 or 0?
added 44 characters in body
Sep
11
answered Does ((2^2)^2)^2… = 1 or 0?
Sep
7
accepted Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?
Sep
7
awarded  Organizer
Sep
7
revised Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?
deleted 2 characters in body
Sep
7
revised Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?
added 13 characters in body
Sep
6
asked Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?
Sep
6
accepted Help understanding $e^{it}=\cos t+i\sin t$ by way of matrices and vector fields