Arcwise connected vs. path connected
I've been reading An Introduction to Algebraic Topology by Andrew Wallace. His definition of an arcwise connected space is: a space in which there is...
19 Apr 2026 1 READS
Archive: General
Help finding the determinant of a 4x4 matrix?
Sorry for the lack of notation but the work should be easy to follow if you know what you are doing. Okay my problem is that the book says it can be done ...
19 Apr 2026 1 READS
Are there parabolic and elliptical functions analogous to the circular and hyperbolic functions $\sinh$, $\cosh$, and $\tanh$?
Are there parabolic and elliptical functions analogous to the circular and hyperbolic functions $\sinh, \cosh$, and $\tanh$? Also, in matters of conic sec...
19 Apr 2026 1 READS
Calculate the multiplicative inverse of $5$ in $\mathbb{Z}_{12}$
Calculate the multiplicative inverse of $5$ in $\mathbb{Z}_{12}$ using euclidean algorithm. I think I got it but the end is a bit confusing, how to know w...
19 Apr 2026 1 READS
Does associativity imply commutativity?
I used to think that commutativity and associativity are two distinct properties. But recently, I started thinking of something which has troubled this id...
19 Apr 2026 1 READS
How to determine the equation of plane through origin?
How to determine the equation of plane which passes through the origin and contains the line x = 2+3t , y = 1-4t, z= 6-t. I set t = 1 and t = 0 to find th...
19 Apr 2026 1 READS
How shall we prove that the converse statement of "epsilon-delta definition of continuity" is true?
The epsilon-delta definition of continuity: A function $f(x)$ from $\mathbf{R}$ to $\mathbf{R}$ is continuous at point $x_0 \in \mathbf{R}$ if for every $...
19 Apr 2026 1 READS
What’s the difference between analytical and numerical approaches to problems?
I don't have much (good) math education beyond some basic university-level calculus. What do "analytical" and "numerical" mean? How are they different?
19 Apr 2026 1 READS
![Collections of undergraduate research projects [closed]](https://edu.smbbmcl.edu.pk/uploads/collections-of-undergraduate-research-projects-closed_720.jpg)
Collections of undergraduate research projects [closed]
I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics: calculus; analysis; abstract algebra; linea...
19 Apr 2026 1 READS
what is the coefficient of x in the following expressions
Can anyone help me out with wether my assumptions are correct with the coefficient of $x$ in the following expressions: $$ 17 - 6x^2 + 2x $$ I would say t...
19 Apr 2026 1 READS
