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Oct
21
asked
Either find an example of a differentiable downward-sloping function $p$ such that $\frac{d}{dx}[p(x)+xp'(x)]<0$
Oct
18
asked
Is there a quicker, nicer way to show that the union of compact sets is not necessarily compact?
Sep
28
asked
Proving Schwarz inequality for complex numbers using calculus
Sep
20
asked
I've been puzzling for two days now: how to prove, basically, that $b^x$ is increasing in $x$? (Rudin Chapter 1, problem 6)
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
12
asked
Interesting or non-obvious finite subsets of the natural numbers
Sep
11
answered
Does ((2^2)^2)^2… = 1 or 0?
Sep
6
asked
Is the “field” I learned about in analysis different from the “field” I learned about in econometrics?
Sep
4
asked
Help understanding $e^{it}=\cos t+i\sin t$ by way of matrices and vector fields
Aug
31
asked
From which areas of mathematics does consumer theory in microeconomics spawn?
Aug
15
answered
Prove that - for every positive $x \in \mathbb{Q}$, there exists positive $y \in \mathbb{Q}$ for which $y \lt x$
Aug
14
asked
What is it about modern set theory that prevents us from defining the set of all sets which are not members of themselves?
Aug
13
asked
Find the probability that the second customer to arrive has to wait to be served if arrival time is exponential and serving time is uniform
Aug
13
answered
A tricky but silly doubt regarding the solutions of $x^2/(y-1)^2=1$
Aug
13
answered
Proof that $1$ is the least natural number using the Principle of Well Ordering
Aug
11
asked
Let X and Y be random variables with joint pdf $f(x,y)=x+y$ for $0<x<1$ and $0<y<1$. Are X and Y independent? My heart says yes but my math says no.
Aug
11
answered
Subgame Perfect Nash Equilibrium
Aug
7
asked
Is this a legitimate way to show that $[-ze^{-z^2/2}]_{-\infty}^{\infty}=0$? (Proving a statement about a function of a normal random variable)
Jul
31
asked
Show that if X is a discrete random variable such that for nonnegative integers m,n, $P(X>m+n|X>m)=P(X>n)$, then X is geometric
Jul
18
asked
Why do these two methods of calculating the probability of winning a best-of-7 series give the same answer?
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