Aug 4, 2021 · Whenever a problem or question of isomorphism comes up I am clueless as to what they mean. From my understanding an isomorphism is in terms of graph theory where it is the same thing …

Feb 6, 2026 · Recently, I've been working on a presentation of some of the basics of topos theory using internal language (current draft here). One thing I've run across there is that I frequently need to take a

Nov 8, 2019 · I stuck on something. I am trying to understand what is said in the image I linked above. "A function I from a set Λ onto a set a is said to index the set a by Λ. The set Λ is called the index an...

Dec 6, 2025 · For basic questions about limits, continuity, derivatives, differentiation, integrals, and their applications, mainly of one-variable functions.

I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.

Jun 10, 2025 · This is one of a pair of questions trying to understand this comment on xkcd forum contest My number is bigger than yours!. The comment author proposes adding a new axiom …

Aug 15, 2015 · This may be a stupid question but I just want clarification about the use of the name of this rule. Well, most of the time what I see is L'Hospital's Rule, like in Baby Rudin and many other …

Feb 22, 2015 · At the point $x=b,y=0$ your ellipse will not be curved in the same way as a circle with radius $b$. Just plot both figures to check. Its radius of curvature will be ...

May 11, 2024 · Recently a friend who is writing a book on integrals added this problem to his book: $$\\int_{0}^{1}\\arcsin{\\sqrt{1-\\sqrt{x}}}\\ dx=\\frac{3\\pi}{16}$$ After a ...

Aug 27, 2024 · In my high school chemistry class, my teacher insists that the "round to even" rule means rounding to the nearest even number whenever the next digit is 5, regardless of any …