Does learning math increase your iq?
>>7952705
No, solving IQ tests increases your IQ.
>>7952710
especially when you solve the same test yet again.
saved your time. youre welcome! (°-°)
serious:
if youre young enough and youre at least a bit interesed in it, it might help somehow.
(do not look for the solutions, do it yourself, no matter how long it takes)
but im also sure the effect will decline.
heard that solving sudoku is no more good brain train when you use deadlocked sequences.
[eqn]\int_a^b f(x) \; dx = S[/eqn]
>>7952955
Is there anything more elegant than a simple, typeset integral?
>>7952705
I think it does, yes, up to a certain age (above 25). I feel as if I am more intelligent than I was before doing maths A-level in a year and then further maths in a year. The accelerated nature of the course probably helped too. It kept me interested.
>>7952710
/Thread
>>7952955
>mfw the wizardry of integrals
How did the guy even come up with this shit?
>>7952705
In theory, your IQ is static. Any increase is just you learning how to take the test better, not you getting smarter.
>>7952961
ur mum in a skintight sequin dress
>>7953062
T-thank you?
>>7953059
You see, this begs the question. Is it a sign of intelligence to be able to get better over time? I feel like it requires higher intelligence to learn how to overcome a test like an IQ test.
>>7953059
>In theory, your IQ is static.
Why? Isn't "connection making" of our neurons what determines how well we do on an IQ test? This is something you can improve.
>>7953007
I doubt you really care but I'll try to show you anyway.
Definition of a derivative is [math]\displaystyle \frac {\mathbb{d} f(x) } {\mathbb{d} x} = f'(x)=\lim_{h \rightarrow 0} \frac { f(x+h)-f(x) } { h } [/math]
A(x+h)-A(x)=f(x)*h, as pic related shows, and the limit of f(x)*h/h = f(x) (all we did was take a derivative of A(x)).
That integral symbol just means area from a to b. So, all this says is that [math]\displaystyle \frac {\mathbb{d}} {\mathbb{d} x} \int_0^x f(t) \mathbb{d}t = f(x) [/math]
To prove the second part of the FTC, let [math]\displaystyle A(x)=\int_a^x f(t) \mathbb{d}t [/math], and just let F(x) be some antiderivative (literally the inverse of a derivative), plug in x=a, and get [math]F(a)+c=A(a)=0 \therefore c=-F(a) \therefore A(x)=F(x)-F(a)[/math], thus proving the fundamental theorem of calculus.
Also, if anyone has a more rigorous proof of that last part, can you share it?
>>7952710
Underrated
>>7953157
your "proof" is nonsense. you need uniform continuity of compacts. see Tao Analysis 1
>>7953157
a proof made by an engineer
>>7953195
Could you share a more rigorous proof?
>>7953157
Nothing looks more elegant and simple than limits. [eqn]\begin{aligned}
\frac{d}{dx} \sin{x} &= \lim_{h \rightarrow 0} \frac{ ( \sin{x + h} ) - \sin{x} }{h} \\
&= \lim_{h \righrarrow 0} \frac{ ( \sin{x} \cos{h} + \cos{x} \sin{h} ) - \sin{x} }{h} \\
&= \lim_{h \rightarrow 0} \frac{ \cos{x} \sin{h} - \sin{x} (1 - \cos{h} )}{h} \\
&= \cos{x} \left( \lim_{h \rightarrow 0} \frac{ \sin{h}}{h} \right) - \sin{x} \left( \frac{1 - \cos{h}}{h} \right) \\
&= \cos{x} (1) - \sin{x} (0) \\
&= \cos{x}
\end{aligned}[/eqn]
>>7953218
Tfw misspellt \rightarrow. Typed the LaTeX on phone eitherway so..
Intelligence is pretty much set in stone by age 12 or so
I mean, you can lower it by banging your head into a wall or becoming an alcoholic, but raising it won't happen, and usually you won't lower it.
>>7953059
[citation needed]
OP, the more you use your brain, the smarter you will get.
>>7953221
You sir win the spot the autist competition today.
>>7953278
I know fuck all about biology but certainly you are better at solving problems of various types if you solve a lot of problems vs just watch reality tv with your "brain turned off".
Maybe that's not "intelligence", but it sure manifests itself as if you were more intelligent.
if youre correlating math - iq - intelligence, no
look at this board, lots of relatively proficient people at math, and this board is a shithole and a joke
>>7953572
I also forgot to include a limit notation at the 3rd last line
Pretend it's there and the entire thing is correct. At least I'm not using taylor series.
gayyyyyyyyyyyy
>>7953572
Hey that guy seems to enjoy something!
Better call him an autist.
[eqn]
\begin{aligned}
\frac{d}{dx} \cos x &= \lim_{h \rightarrow 0} \frac{ \cos{(x + h)} - \cos{x} }{h} \\
&= \lim_{h \rightarrow 0} \frac{\cos{x} \cos{h} - \sin{x} \sin {h} - \cos{x}}{h} \\
&= \lim_{h \rightarrow 0} \frac{\cos{x} \cos{h} - \cos{x}}{h} + \lim_{h \rightarrow 0} \frac{ -\sin{x} \sin{h} }{h} \\
&= \cos{x} \left( \lim_{h \rightarrow 0} \frac{1 - \cos{h}}{h} \right) - \sin{x} \left( \lim_{h \rightarrow 0} \frac{\sin{h}}{h} \right) \\
&= \cos{x} (0) - \sin{x} (1) \\
&= - \sin{x}
\end{aligned}
[/eqn] LaTeX'ing on my computer feels far better than on my phone. The preview really helps in catching errors.
>>7952705
No, but learning about Scientology increases your IQ.
>>7952705
A bit.
Anything that challenges your noggin, specially the kind of stuff they do at school.
>>7954990
what is an iq
>>7952705
alot
>>7954958
Plus, equations made on LaTeX are almost erotic hahah they look beautiful!
>>7953059
>In theory, your IQ is static.
IQ is not static. It changes all the time. It can even increase in your 40s.
And yes, if you begin to learn mathematics with no prior knowledge, your IQ will increase.
>>7956114
iktf
>>7952705
Only people with low IQ's believe in IQ's
>>7956612
BUT WAIT
>>7953071
Thank her cardio regime
>>7952955
>single integrals
Sure smells like calc I in here.
[eqn]\iint_{R} f(x) dA = \lim_{n,m\to\infty}\sum_{i=1}^{n}\sum_{j=1}^{m}f(x^{*}_{i},y^{*}_{j})\Delta A [/eqn]
>>7957243
>ever actually writing more than one integral sign
lol
it would be fun to see IQ tests that do shit like fourier transforms and pde but youd just see the same bell curve results across groups
>>7957258
good book
>>7957246
this. Writing more than one integral only shows how much of a pleb you actually are, bruv.
>>7957258
How about a real book m8?
>>7957283
What are PDE's even good for anyways?
>>7958188
everything
>>7958429
give me an example of 2 examples of well paying jobs that use it
>inb4 engineering
>>7958491
Quants.
Academic.
No. Math is the application of objective knowledge. It does not increase the capacity with which you can find that knowledge. Only philosophy can do that.
>>7958524
(You)
>>7958491
en-jin-ear-ring
>>7952705
No question
