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 …

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...

Suppose I am trying to prove a statement in the form A if and only if B. I know I need to prove that If A, then B If B, then A I know that 1 is equivalent to proving "If not B, then not A". My

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 …

Jul 23, 2025 · Consider the following game. You get to roll a six-sided dice continuously until you roll the same number twice in a row. At this point the games ends, and you are paid the product of all your rolls.

Q:A bag contains 5 black socks and 4 white socks. If 2 socks are picked randomly from it, find the probability of them being of the same colour. What I've done is this: probability of first sock b...

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.

Sep 14, 2024 · This question is not about mathematics, within the scope defined in the help center.

Jan 10, 2021 · My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative number?

Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: What this post s...