/sci/ - Science & Math

>>3823564

The diversity of people here is as vast as everywhere else. 10 years ago I would've said that the most polarized opinions towards foreigners could be found from our low populated countrysides, but it isn't anymore like that. If you're not advertising and labeling every action you make and think as "oh so Italian", we'll love you and give you the full hospitality.

But Finland isn't the place of vacation for socializing or inter-mingling with new and interesting opinions. You come here to man yourself up, not with the ways someone else teaches or tells you, but with the ways our planet has been rolling the show for thousands of years.

Rent a shitty log cabin, and bring some food with you for the first two days. Make yourself a promise to fetch all the food in the future from surrounding nature. That's where the story begins.

I apologize for my bulky English. Also, pic is horribly unrelated.

We're doing epsilon-delta shit. My friend who actually gets this stuff had a very complicated proof for showing that <span class="math">\lim_{x\to 2}\frac{x^3-8}{x-2} = 12[/spoiler]. He did a bunch of shit, but I came up with a different, much simpler proof today. Could you guys see if I fucked up anywhere/forgot anything? Here's my proof:

By the epsilon-delta definition of a limit, <span class="math">\lim_{x\to 2}\frac{x^3-8}{x-2} = 12 \iff \forall \delta \exists \epsilon[/spoiler] such that if <span class="math">0 < |x-2| < \delta[/math\ then <span class="math">|\frac{x^3-8}{x-2}| < \epsilon[/spoiler].

Let <span class="math">\delta = \frac{\epsilon}{|x+4|}[/spoiler].
Thus, <span class="math">0 < |x-2| < \delta \implies |x-2| < \frac{\epsilon}{|x+4|} \implies |x-2||x+4| < \epsilon \implies |x^2+2x-8| < \epsilon \implies |x^2+2x+4-12| < \epsilon \implies |\frac{x^3+8}{x-2}-12| < \epsilon[/spoiler].
Q.E.D.

Anything I did wrong?[/spoiler]

how does one factor 4x^3+16x^2-3x-45. I'm really at a loss here

Are humans on a xyz-plane.

Hey /sci/,

I need your opinion please. My 15 years old nephew has decided to return to the great path of Science and Math.
He's failed Math in 8th and 9th grade but in 10th grade he surprisingly got As in Differentiation, Integrals and some Algebra II.
He has promised that he will study Math all August to make me proud. Clearly, he's got some biiig gaps. He has some problems even with Algebra I, never attended a Trig class, etc.
I want to help him master Algebra, Trig and Calculus so he will have zero problems in A-levels.
how to do that?

Pic very related.

hey sci

so im a highschoolfag who just got done with AP Calculus BC. the class was a breeze; calculus is by far the most advanced course in mathematics I've taken so far and want to move on.

So far, I know pretty much all of differentiation and integration. From watching Khan Academy videos, I can pretty much do partial differentiation as well as multivariable integration.

My question is, what textbooks do you recommend?

I saw Div, Grad, Curl and All That posted in a thread similar to this one. I downloaded it and liked it, but it seems a little too focused on vector calculus. Is that really the only calculus after Calc I-III?

Also, any books I can download that will help a fairly skilled maths student understand beginning topics in linear algebra and discrete mathematics would be appreciated.

TL;DR recommend math books for calculus, linear algebra, discrete math

thanks!

Why does f(x)=exp(-9999999999) i.e. (e^(-9.99*10^8)) equal to 0 on most scientific calculators, including packages such as Maple? I thought f(x) != 0 unless at the limit x -> -infinity.

Requested. Or rather, reported, I guess.

I'm not sure if this list is any different, but it was also compiled at the making of the guide in the OP.

http://pastie.org/1804618

What's /sci/'s stance on mass?

Lets assume the higgs boson is real and so is the higgs field. Would this imply that that 'mass' comes from how fast or slow these higgs bosons in certain atoms move in this field.

Hello /sci/ we're currently learning about simple harmonic motion within physical applications of calculus. Now most of it seems fairly straightforward to me apart from this one worked example given within my textbook:
A particle moves in a straight line so that its acceleration at any time is given by a=-4x.
Find its period, amplitude and displacement at time t given that when t=0, x=3 and v=-6sqrt(3).
Now the textbook solves it like this:
Since a=-4x=-n^2*x where n=2, the motion is S.H
x=asin(nt+k)
=asin(2t+k)
v=2acos(2t+k)
when t=0 x=3 and v=-6sqrt(3) hence:
asin(k)=3
2acos(k)=-6sqrt(3)
simple enough but this is where I get somewhat confused:
asin(k)/2acos(k)=3/-6sqrt(3)
tan(k)=-1/sqrt(3)
therefore k=5pi/6 (since sin(k)>0 and cos(k)<0)
asin(5pi/6)=3
a=6
My question here is how can it just be stated that sin(k)>0 and cos(k)<0 what if we assumed a was negative wouldn't sin(k)<0 and cos(k)>0 therefore
k=11pi/6
thus a would equal -6
is the textbook wrong or am I missing something here?

Most people have one dominant brain hemisphere, usually they can't change that.

I ask you, how to change the dominant hemisphere to non dominant aka from right brain person to left brain person.

i'm sick of being an aspie.

Do you have more pictures like this?
Not necessary maths, but if maths, a bit more advanced.

.99....

does not equal 1. It only equals 1 if you accept infinity (a bullshit concept)

I'm not trying to be a troll, infinity doesnt exist.
If we were to remove 'infinity' from mathmatics, where would that leave us? (ps: I fine with using it as a shortcut as long as we remove it at the end)

Not sure if this makes sense to anyone, im baked, but i cant get over the idea that infinity just makes no sense.

Hey /sci/ year 12 australian student here, could anyone who has done the extension 1 mathematics course help me in regard to which textbooks I should use? I'm currently using the fitzpatrick books for questions and learning of concepts. It's faring well right now although I've found the coverage of some topics to be lacking in depth.
Also any past physics student any textbook suggestions? Currently using the Jacaranda textbook that has so far been amazing although I would like alternative references.

Do more science?

Ur a fag. Says the guy sitting next to you

>>2568859

Hey, moot deleted /rk9/. You can stop green-texting for extra attention now. Faggot.

Hi /sci/ sorry for the newb question but I just dont see it.
I am given the function series fn(x)=n^(2)x for x=[0, 1/n]. I want to know if there exist a f(x)=lim n->inf fn(x).
The textbook says it is 0, but I dont see it. Can you guys help?
Thanks /sci/
No its not HW its an example on my textbook (but they dont say how they got that value)

Learning the language of abstract math is like learning any other language. It takes time, dedication, and most importantly, other people -human beings- that speak the language to help you put the language in context and learn to speak it fluently.

While it is theoretically possible to sit with a warm mug of coffee and a vector calculus textbook and become a master of surface integrals, what really helps is someone who understands what they are and what they physically (and theoretically) represent.

It took me two years of university and the company and friendship of intelligent comrades to even begin to wrap my head around the subjects of which you speak. I'm not the head of my class, but I'm no fool either, that said, I can't imagine a better understanding and a stronger foundation in abstract mathematics being laid in shorter time. (Though just because I can't imagine it, that does not mean it is not possible)

In short: It will take time and dedication, but going at it with someone will help. If battling alone, I recommend getting the most highly recommended textbooks from Amazon or what have you. Godspeed, for your dedication and intelligence will undoubtedly pave the way for expanding the human body of knowledge, a universal good in of itself.

Can someone tell me the name of the integration symbol with the circle in the middle of it? For example, the Maxwell-Faraday equation? Also, what is its use and how does it differ from a regular integral? Doing some learning of calculus on my own and couldn't figure it out

Hell /sci/ what is the best online resource to self-teach oneself pre-algebra, geo, trig pretty much anything that would be taught in a normal late high school math class. I'm looking to get as much practice and drills done, starting from the bottom up.
See in school I learned math the wrong way by memorization rather then by understanding the concepts behind them, so it's always been a problem for me.

>>2069648
lol i made that

What's a good movie to watch, I'm asking sci because I'd like a movie that someone at least semi-educated might watch.