/sci/ - Science & Math

>political stance has to be X or Y
>YOU NEED TO RESPECT THE CATEGORIES!!!
>X good and smart
>Y bad and dumb

>>11668188

>NOOOOOOOOOOOOOO YOU CANT JUST GO AND ACTUALLY TALK TO WOMEN AND REALIZE THEY'RE STUPID, ONLY INCELS CALL WOMEN STUPID CERTAINLY NOT ALL THE CHADS AND PICK UP ARTISTS WHO PUMP AND DUMP THEM THEY THINK THEY'RE SMART

The more you experience women, the more you realize how limited they are. Sorry about it

>>11505926

>Russians trying to deflect from a panic inducing topic rather than promoting it

Your average redditbot ladies and gentlemen

>>11049854
>demanding pay for doing science
>not simply exulting in the service to the Nameless Muse

>>10954911

>>10113846
Is natural selection genetic?

>define "matter" as something that can neither be created nor destroyed
>matter can neither be created nor destroyed prove me wrong lol

>For now, we ask the reader to take the functions existence on faith

>>9838399
>anaerobic exercise means Humans without oxygen

>>9831482

>ITT: post brainlet wojak and repeat the last post in a sardonic way

this thread is going great

how do i self-induce hyper-curiosity about nature and be motivated enough to describe its characteristics with mathematics?

>>9671087
tell me why it isn't an advantage and i'll tell you why you're an idiot

>>9657051
>"complex datastructure consisting out of arrays"
all data-structures consist of a linear section of memory, a set/array of registers:

[r1][r2][r3][r4][r5]

a multi-dimensional array (data structure) is just a bunch of memory "arrays" containing references ot other memory arrays, but ultimately its still a 1d data structure when you get down to it, because all data is stored 1 dimensionally as a set of words stored in a bunch of registers. Abstraction is incredibly inefficient which is why i suggested what is called a "hash table" which is really just a very long 1d array of registers containing sets of data, and using a simple mathematical function to deterimne the location of a section of memory and reference it with a handler in constant time.

>>9657053
>Otherwise what's the use for hashes?
:^(
for hash tables you dunce, there's many uses for hashes, not just for cryptography.

>>9657062
>which is literally the most retarded datastructure you could have picked for an AI
my IQ fell 20 points because of this comment, at least its not in the negatives like your is though :^)
You see my little cumbalena, if you were to pick a different data structure you would just use more memory than necessary, you can have a 1d array that acts like a cluster using a mathematical funciton to reference different parts in constant time (a hash function) and to you the user it will be a cluster, but by making it this way one saves loads more memory and keeps things nice and tidy, no indirect referencing here.

>>9605261
maybe you're just a brainlet

>>9534384
>DON'T MAKE THIS UNINHABITABLE ROCK UNINHABITABLE!

Prove that [math]f(x) = \displaystyle \sum_{n=1}^{\infty} \frac{1}{x^{2}+n^{2}}[/math] defines a continuous function on [math]\mathbb{R}[/math].

First I note that [math]f_{n}(x) = \frac{1}{x^{2}+n^{2}}[/math] is continuous for all [math]x\in\mathbb{R}[/math] and [math]n\in\mathbb{N}[/math]. So it suffices to show that [math]f_{n}(x)[/math] converges uniformly, correct? That is:
[math]\forall \epsilon >0\hspace{0.1cm} , \hspace{0.1cm}\exists N\in\mathbb{N}, \hspace{0.1cm}\text{such that},\hspace{0.1cm} \forall n\geq N \hspace{0.1cm}\text{and}\hspace{0.1cm} \forall x\in \mathbb{R} ,\hspace{0.1cm} |f_{n}(x) - f(x)| < \epsilon [/math]

[math]\displaystyle\lim_{n\to \infty}f_{n}(x) = 0[/math]

So [math] \left| \frac{1}{x^{2}+n^{2}} - 0 \right| = \frac{1}{x^{2}+n^{2}} \leq \frac{1}{n^{2}} \leq \frac{1}{n} < \epsilon [/math]

I don't think I'm right? Assuming so, let [math]N = \text{ceil}(\frac{1}{\epsilon}) + 1[/math]. So letting [math]\epsilon = 1[/math], [math]N = \text{ceil}(\frac{1}{1}) + 1 = 2[/math], so [math]|f_{2}(x) - 0| < \epsilon \implies \frac{1}{x^{2}+4} < 1 \implies 1 < x^{2}+4 \implies x^{2} > 3 [/math], which isn't true for all [math]x\in \mathbb{R}[/math].

What should I have done? I think my problem is in the uniform convergence proof, probably with the steps: [math] \frac{1}{x^{2}+n^{2}} \leq \frac{1}{n^{2}} \leq \frac{1}{n}[/math], but I'm pretty new at this and can't tell.

>>9471524
>All countries except Ethiopia and China are eliminated
>You pick a random person from a random country
>It's a black man
>What is the probability the country you picked was Ethiopia
>durr 50/50

9461027

>>9419095

>>9368375
You're still failing. You're a brainlet who can't pass highschool languages yet thinks they're hot shit. Get off this website, grow up a little, learn some humility. Then come back when you've learned that you're still a failure.
>>>/out/

>male feminist
>"okay, and?"

What is the smartest thing you know?