What is the definition of the density of a graph?
I am reading a paper which is regarding to the graph theory. It is applied theory to computer science. My background was industrial and management enginee...
Apr 15, 2026 1 VIEWS
Topic: General
5104 Articles 
Finding the Left and Right Cosets in $A_4$
I'm really struggling with a Group theory class and would love some help. HW Question is as follows. Consider the subgroups $H = \left<(123)\right...
Apr 15, 2026 1 VIEWS
Is zero a prime number?
Is zero a prime number? When talking about prime numbers, it seems like the examples given $(2,3,5,7,11,13,...)$ have the property that they have no facto...
Apr 15, 2026 1 VIEWS
How to find the inverse modulo $m$?
For example: $$7x \equiv 1 \pmod{31} $$ In this example, the modular inverse of $7$ with respect to $31$ is $9$. How can we find out that $9$? What are th...
Apr 15, 2026 1 VIEWS
What's the meaning of this $(m,n) = 1$
I'm reading this pdf http://rutherglen.science.mq.edu.au/wchen/lndpnfolder/dpn01.pdf I understand some of the expression used in this but I don'...
Apr 15, 2026 1 VIEWS
Definition of the Limes Superior
I understand what the limes superior is insofar as I know that for example for an alternating series as $a_n = (-1)^n$ which does not diverge to $\infty$,...
Apr 15, 2026 1 VIEWS
Right Triangle: Given hypotenuse and ratio of legs, find legs
We are given a Right triangle where the Hypotenuse = $20$ cm. The opposite side is $3$ times longer than the bottom side. Is it possible to calculate the ...
Apr 15, 2026 1 VIEWS
Area under polar curve inside cardioid and circle
I'm asked to find the area of the polar region inside $r(\theta)=5(1-\sin(\theta))$ and $r=5$. Below is a plot of the situation. THe black area is th...
Apr 15, 2026 1 VIEWS
Calculus over integers for derivative/integral of factorial?
One usually introduces the Gamma function to define a derivative of the factorial. However couldn't one define a derivative over integers like $$ f&#...
Apr 15, 2026 1 VIEWS
Simplest way to calculate the intersect area of two rectangles
I have a problem where I have TWO NON-rotated rectangles (given as two point tuples {x1 x2 y1 y2}) and I like to calculate their intersect area. I have se...
Apr 15, 2026 1 VIEWS
Graphing divergence of a 3D vector field
I want to be able to compute and graph the divergence of a three dimensional vector field. I have tried the following and the resulting graph is as attach...
Apr 15, 2026 2 VIEWS
Continued fraction of $\sqrt{67} - 4$
Find the continued fraction of $ \sqrt{67}-4 $ . $$ $$ We Know that if $ N $ is not a perfect square and if continued fraction of $ \sqrt N $ is $ \sqrt N...
Apr 15, 2026 1 VIEWS