I understand that $\frac{\sin{x}}{x}$ isn't integrable, but what about other functions?

Is there any point to learning anything after 25?

There's 33.34% chance of being right unless the person happen to know the answer, and lifelines can only get you so far into the game.

Let's say there are 15 questions with 4 choices each. Let's also say there are 3 lifelines: call-a-friend, 50-50, and ask-the-audience.

For each of the 15 questions, there is only 1 correct answer, and 3 incorrect answers, so immediately your chances are 1/3 = 33.34%. You can use each lifeline once. Using phone-a-friend, let's say gives you a 95% chance the person you call is correct. So 1 question is 95%. Similarly, we can say ask-the-audience gives you a 95% chance. Finally, 50-50 will remove 2 wrong answers, so you have 1 right answer and 1 wrong answer, so you basically know the answer. To recap:

Question 1: 33.34%
Question 2: 33.34%
Question 3: 33.34%
Question 4: 95% <--- ask-the-audience
Question 5: 33.34%
Question 6: 33.34%
Question 7: 33.34%
Question 8: 33.34%
Question 9: 95% <--- phone-a-friend
Question 10: 33.34%
Question 11: 33.34%
Question 12: 33.34%
Question 13: 33.34%
Question 14: 33.34%
Question 15: 100% <--- 50-50
Total: 690.08%
Divided by 15 questions = 46.00%
So basically, it's more a less a game of chance, but more than half the people on the show will lose, so it's not very fair. That show is making tons of money off of people.

Can Gauss Lemma be used for the Jacobi symbol? I've been searching for a comprehensible proof or counterexample to this qn but have found none so far. A computer search found this statement to be true for odd composites less than 10^5.

>The smartest guy in the world is a virgin
Literally this fact BTFOs literally every white nationalist ideology about the superiority of white intelligence when in reality high intelligence is actually a dysgenic trait lmao

Best ones in the 500 - 1500 dollars range?
I saw that Zeiss most basic one (Stemi 305) starts from 2000 dollars, is it worth it?
What about Leica and other brands?
What about chink stuff? Worth it?

Should I read Artin or Dummit&Foote? Or someone else?
I was feeling more inclined towards Artin since in the preface he promises to focus on concrete examples and special problems, which sounds more interesting than piling up abstract constructions with no apparent usefulness.
Does Dummit&Foote have any advantage over Artin? It seems to be more favored as a standard text.

Why aren't nootropics taken more seriously and researched more in-depth? It seems like it's more of a fringe topic and only really discussed in communities that have no real business discusisng them. And even then, most of the discussion is on blatant snake oil or "natural" supplements instead of the real deal like semax or selank ir high dose racetams.

>be god
>create soulless automatons
>punishes them for misbehaving
>does whatever he wants

is god just a 11 year old playing the sims?

Hello /sci/, I'm a high-school dropout who want to learn Mathematics. I sat around this winter and studied high-school Math, I'm thorough with my basics, at least I think so. But when I tried applying the same to Undergrad Math textbooks I couldn't grasp them. It feels like I skipped some important step inbetween. Can you please recommend me some books that help me with Undergrad Math? Thank you.