See above, late night stoned BC musings
I recently started studying real analysis, and learning about Cantor has completely changed the way I think about infinity.
It's incredible how one person's ideas reshaped mathematics so profoundly. I'm genuinely fascinated and deeply grateful for his contributions.
The more I read about Cantor's work, the more I appreciate the beauty and boldness of modern mathematics.
I’m not sure I understand how undefined numbers work when applied to a level of confidence/certainty. Is it both as close to 0% as it is to 100%? Could you say you were 99% certain if your certainty was undefined?
The problem that gave rise to my question is “Even if you identified something you felt certain about, how would you verify that your feeling of certainty is reliable? You'd need to be certain that your certainty-detecting faculty works…” I was wondering if the value for how certain you are that your faculty is reliable is undefined.
have a question here where the task is to simplify this term to minimum constituents. the term is
{n[n!+(n-1)!]} + [n^2 (n-1)!] + (n+1)!
i am getting the answer as (2n+2)! + (n*n!) whereas the correct answer is (3n+2)*n!, now after looking at the answer i was able to derive the correct final answer, but i hadnt made any mathematical mistake and only the format was wrong so i was wondering if theres any way to be able to equate the two of my final answers.
Any recommendations for good discrete mathmatics book to start learning from scratch
As an indian it is pretty much programmed by our parents that we either have to do engineering or medical, I loved engineering for the creative ways to do stuff with computers but I never thought mathematics would play a major role here. I wanna learn how to love maths
Hi, i'm 19, i'm italian (sorry in advance for any possible mistake) and in about 7 days i'll graduate from an economics school.
The fact is that, since i was 3, i LOVE maths, i almost always scored the maximum grade on maths tests (like either a 9/10 or a 10/10), but i have doubts about studying this subject at University because i never actually studied it at home, i just found it interesting during the lessons, adding the fact that i feel naturally gifted for these kinds of things.
Also, my maths teacher reccomended me to follow this path, since she understood my skills, and told me that i won't have to study by heart, and that i'll just have to figure out how to do certain things.
Basing on these things, focalizing on the fact that i never studied at home and so i still don't know how to do it, should i take the decision to study Maths at Uni? And if much study at home is required, is it more memory or logic/understanding based? Thanks.
I know that the sum of differentiable and continuous functions is a differentiable and continuous fonction.
I also know that an infinit sum of differentiable and continuous functions may not be differentiable (Weierstrass function for example).
But can we have an infinit sum of continuous functions that is not continuous ?