general
Meaning of "on" and "over" in mathematics
I've seen copious usage of prepositions like "on" and "over" in mathematical texts with no concrete description of what they mean. Can someone please...
Apr 10, 2026
Archive: General
general
how to understand the area of the product of two functions
I just learn something about finding the area enclosed by a function with integral. If there is a function $f(x)$, the integral within $[a,b]$ will the th...
Apr 10, 2026
general
Variable of integration in the shell method: use dy or dx?
How would you determine whether to use dx or dy? I uploaded a scenario where we revolve around x=6 but we must use dx for the shell method.
Apr 10, 2026
general
Extension and restriction of scalars and their relation to the identity functor
Let $R$ and $S$ be rings with $R \subseteq S$, and let $_S M$ be a left $S$-module. If we restrict our scalars to $R$, we naturally have a left $R$-module...
Apr 10, 2026
general
prove that there exists a linear transformation, such that...
How to do this in general? Is it true that if some transformations are given, and the inputs to those form a basis, that that somehow shows this? If yes, ...
Apr 10, 2026
![Difference between zero apples and zero oranges. [closed]](https://news.conceivablytech.com/uploads/difference-between-zero-apples-and-zero-oranges-closed_720.jpg)
general
Difference between zero apples and zero oranges. [closed]
There are two plates, one with an apple and another with orange. Yes, they are different now, but what if I take both the fruits out?
Apr 10, 2026
general
A couple has 2 children. What is the probability that both are girls if the eldest is a girl?
This is another question like this one. And by the same reason, the book only has the final answer, I'd like to check if my reasoning is right. A cou...
Apr 10, 2026
general
Graph Run Time, Nodes and edges.
Hi i have these two problems that are part of a practice set i am doing for exams, i can't seem to get around them. If you can answer any of them tha...
Apr 10, 2026
general
Five Cubes in Dodecahedron
I will demonstrate why the group of rotational symmetries of a Dodecahedron is $A_5$. For that, we have to find five nice objects, on which the group of s...
Apr 10, 2026
general
Nspire cx CAS - Laplace inverse fails
I'm trying to calculate that easy integral but I get undef. When I replaced $\infty$ with $1000$, I got the right answer. ($e^{-1000}$ is zero roughl...
Apr 10, 2026
