reference for operator algebra
I am taking a course on operator algebra this semester. My instructor has suggested a reference "Kadinson and Ringrose." Are there any other good/standard...
Apr 13, 2026 1 VIEWS
Topic: General
5104 Articles 
Showing $6x^3 - 3x - 18 $ is irreducible
The techniques I know right now to show a polynomial f(x) in Q[x] is irreducible are to show it is irreducible in some $F_p$ with p a prime f(x) has the s...
Apr 13, 2026 1 VIEWS
The crumpled paper problem
I saw a theorem recently (and have seen similarly phrased problems before), which I found quite surprising. Unfortunately, I'm not sure what its name...
Apr 13, 2026 1 VIEWS
Can the game "Chopsticks" be mathematically solved?
If you don't know the game chopsticks, it goes like this: You start out with two of your hands in front of you with 1 finger out on each, and your op...
Apr 13, 2026 1 VIEWS
How to solve this type of Puzzles (Syllogism)?
I have seen lot of questions of below type predictions. I can't figure out the answer. Is there any common method to solve this ? Please consider the...
Apr 13, 2026 1 VIEWS
Modeling Kuramoto in Matlab
I am trying to model Kuramoto ocillations in Matlab. I tried using ode45 to solve the system. I also saw someone else use the Runge-kutta method. I unders...
Apr 13, 2026 1 VIEWS
Definition of a mathematical interval, why not defined this easier way?
According to Wikipedia, "In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the...
Apr 13, 2026 1 VIEWS
Solving Equation with Fractional Exponents
In the final solution to calculus problem I'm struggling to solve the following equation for x: $(1-x)^{5/2}-(5/3)(1-x)^{3/2}=-1/3$ Further, while I ...
Apr 13, 2026 1 VIEWS
Convergence of random variables in probability but not almost surely.
Can somebody provide me with a sequence of (real-valued) functions, say on $[0,1]$ with the Lebesgue measure, such that the sequence converges in probabil...
Apr 13, 2026 1 VIEWS
WLOG means losing generality?
Isn't the use of "without loss of generality" in math proofs a bad formulation? To me it's sound similar as someone saying: "Without getting per...
Apr 12, 2026 1 VIEWS
Probability distribution vs. probability mass function (PMF): what is the difference between the terms? [duplicate]
Consider a discrete case. PMF is the probability each value of random variable gets. So, for example, X ~ Poisson(2). I plot these probabilities (below), ...
Apr 12, 2026 1 VIEWS
Derivative Chain Rule $f(x) = (3x^2+2)^2 (x^2 -5x)^3$
I'm learning chain rule in derivative, and I don't understand this in the example. $$f(x) = (3x^2+2)^2 (x^2 -5x)^3\\$$ \begin{align} f'(x)&...
Apr 12, 2026 1 VIEWS