general
What is a dilation surface?
I am trying to learn more about dilation surfaces, in the context of dynamical systems, but there is not much information about them online. One definitio...
Apr 22, 2026
Archive: General
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general
Questions tagged [permutations]
Q&A for people studying math at any level and professionals in related fields
Apr 22, 2026
general
Do the $2$ modulus $3$ can be $-1$ or just $2$?
I need to calculate $2$ modulus $3$ as $2<3$ then the answer should be $2$ but instead in a math problem they use it as $-1$. Is this possible? thanks
Apr 22, 2026
general
Find the area of parallelogram and its missing vertex
Given three radius-vectors: $OA(5; 1; 4), OB(6;2;3), OC(4;2;4)$, find the missing vertex $D$ and calculate the area of obtained parallelogram. My attempt:...
Apr 22, 2026
general
prove without a calculator that if $\tan (p) = 1$ and $\tan(q) = 2$ then
prove without a calculator that if $\tan (p) = 1$ and $\tan(q) = 2$ then $${\sin (p+q)\over \cos (p)\cos (q)} = 3$$ My attempt for the numerator: $\sin (p...
Apr 22, 2026
general
Why do we replace y by x and then calculate y for calculating the inverse of a function?
Why do we replace y by x and then calculate y for calculating the inverse of a function? So, my teacher said that in order to find the inverse of any func...
Apr 22, 2026
general
Fixed-Point & Root Relation
Lets say I have found out the fixed point for a given function. I'm only given a point that is basically mapped to itself, but how do I find the root...
Apr 22, 2026
general
Representing the multiplication of two numbers on the real line
There is a simple way to graphically represent positive numbers $x$ and $y$ multiplied using only a ruler and a compass: Just draw the rectangle with heig...
Apr 22, 2026
general
Can the cross product be a matrix?
On the Wikipedia article on the cross product is says that a vector $a$ which is itself a cross product (that is $a=c\times d$), can be represented in the...
Apr 22, 2026
general
Poisson Distribution and Median
The number of automobile accidents at the corner of Wall and Street is assumed to have Poisson distribution with a mean of five per week. Let A denote the...
Apr 22, 2026
