Winning strategy at "Turning Turtles"
There is a coins games that called "Turning Turtles". I'd like like to know if there is a winning strategy for this game. From the written ...
Apr 20, 2026 1 VIEWS
Topic: General
5104 Articles 
Inverse of a function's integral
The function $g$ is strictly positive. Let the function $f$ be defined as $$f(x) = \int_0^x g(u) du$$ Is there a way to express $f^{-1}(x)$ in terms of $g$?
Apr 20, 2026 2 VIEWS
Probability to choose specific item in a "weighted sampling without replacement" experiment
Given $n$ items with weight $w_n$ each -- what is the probability that item $i$ is chosen in a $k$-out-of-$n$ "weighted random sampling without replacemen...
Apr 20, 2026 1 VIEWS
How can I convert this percentage into odds?
How can I convert the percentage 0.000007151123842% into odds, so the outcome would be 1 in 13983816. Basically, I am looking for a way to convert any pos...
Apr 20, 2026 1 VIEWS
Solve $x+\log(x-1)\cdot (1-x) = 0$
This is my first post here, so I'll try my best. I want to solve the root for this equation $$x+\log(x-1)\cdot (1-x) = 0$$ I know I require the Lambe...
Apr 20, 2026 1 VIEWS
Matlab usage of the function fitnlm [closed]
I am using the function fitnlm : f= @(a,x)(a(1)*log(x+a(2))); mod= NonLinearModel.fit(A,B,f,[3,1]) for some data points (A,B)). The output is I am having ...
Apr 20, 2026 1 VIEWS
User Gillian Cheung - Mathematics Stack Exchange
Q&A for people studying math at any level and professionals in related fields
Apr 20, 2026 1 VIEWS
Prove that $\Gamma(-k+\frac{1}{2})=\frac{(-1)^k 2^k}{1\cdot 3\cdot 5\cdots(2k-1)}\sqrt{\pi}$.
I was able to prove that $$ \Gamma\left (k+\frac{1}{2} \right )=\frac{1\cdot 3\cdot 5\cdots(2k-1)}{2^k}\sqrt{\pi}.\tag{$k\geq 1$}$$ using the Legendre...
Apr 20, 2026 1 VIEWS
an important property of an ellipse
Good morning everybody. I would like to know the proof of the following observation on the ellipse. A circle is drawn with the right latus rectum as diame...
Apr 20, 2026 1 VIEWS
Is there proof show that $\log x$ is undefined and make no sense at $ x=0$?
I was asked by someone: why $\log x$ is undefined at $x=0 $? Is there proof show that $\log x$ is undefined at $x=0$? Note(01):: log is the inverse functi...
Apr 20, 2026 1 VIEWS
Limit of function, when $x$ approaches $a$
So w have to estimate limit of function when the x approaches a. Function is given on real numbers by following term $f(x)= \dfrac{\ln\frac{x}{a}}{x-a}$ W...
Apr 20, 2026 1 VIEWS
What is the value of $i^0$?
I have to solve the following question - $$\sum_{n=0}^{1000} i^n$$ where $i = \sqrt{-1}$ To be able to solve the problem, I need to know the value of $i^0...
Apr 20, 2026 1 VIEWS