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Archived threads in /sci/ - Science & Math - 1195. page

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So I'm in first year of college, and I'm having trouble finding good sources for large amounts of exercises. My profs don't provide many, and I don't really feel like buying a pricy book just cause I'm so retarded I need loads of training lo actually learn stuff decently. So I've been thinking about creating my own exercises: since I have a few examples from those done in class, it shouldn't be too difficult to create similar one in order for me to apply the same concepts over and over. Do any of you do this? Suggestions? Am I doomed to fail?
7 posts and 2 images submitted.
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make a program to generate random problems for you, or just get them from mit opencourseware or google you fucking retard.
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>>8489974
>2017
>buying a pricy book
choose one
http://bookzz.org/
google for a good textbook with good exercises and download it.

It's dangerous to make your own exercises if you don't really understand the matter.
>>
>>8489974
Have you ever considered piracy?

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30 years after this plane was introduced, we had jet fighters. What happened to technological progress
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>>8489902
30 years after your mom was introduced we had you.

Clearly progress went to shit.
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>>8489904
cool answer, really made me think
>>
>>8489904
What's the difference between you and the united states of America?

The US knows when to pull out.

;^D

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I have an interview in a few hours with a car manufacturing company for a role in the aerodynamics department.

Is there any last minute advice I could use or alea iacta est?
8 posts and 2 images submitted.
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up
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>>8489747
Remember that night you got really drunk while reading sci and decided to edit your resume with:
'I am to smart too have a job'

Better find a reasonable way to explain that. That and also why your attached picture is the big brain wojak.
>>
>>8489843
Kek

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I'm a brainlet who was doing just fine with classical mechanics and electrodynamics. But special relativity and quantum mechanics caught me off guard. I don't have the intuition to understand concepts like that. Is it normal? Should I study something else?
7 posts and 1 images submitted.
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>>8489686
>classical mechanics and electrodynamics

At what level and with what book?
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>>8489708
Undergrad level using Knight Physics
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>>8489712
you sound like a massive faggot
this is freshman stuff many struggle
go watch some mit ocw basic physics stuff

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why is antarctica so much warmer than people are led to believe?
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>>8489673
Snow reflects sunlight
Antarctica is actually covered in ice
>>
it's nearly summer
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>>8489791
also
>fahrenheit

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Why are you not on this list /sci? How did this illegal alien in the pic (Oscar De Los Santos USC) manage to out work all of you?

Here is a list of the students chosen as Rhodes scholars:

District 1:

Joshua B. Pickar, University of Chicago Law School and The George Washington University

Maia Silber, Harvard University

District 2:

Sarah A. Waltcher, Dartmouth College

Laura A. Courchesne, University of Georgia

District 3:

Nancy Ko, Harvard University

Noah Remnick, Yale University

District 4:

Spencer D. Dunleavy, Harvard University

Meghan M. Shea, Stanford University

District 5:

Cameron D. Clarke, Howard University

Aryn A. Frazier, University of Virginia

District 6:

James C. Pavur, Georgetown University

Jory M. Fleming, University of South Carolina

District 7:

Lucinda M. Ford, United States Naval Academy

Christian E. Nattiel, United States Military Academy

District 8:

Kirk P. Smith, University of Tulsa

Mikaila V. Smith, University of Texas at Austin

District 9:

Morgan K. Mohr, Indiana University

Christa Grace Watkins, University of Notre Dame

District 10:

Olivia A. Klevorn, Yale University

Pasquale S. Toscano, Washington and Lee University

District 11:

Aaron C. Robertson, Princeton University

Ahmed M. Ahmed, Cornell University

District 12:

Lauren C. Jackson, University of Virginia

Shegufta A. Huma, University of Kansas

District 13:

Hannah K. Carrese, Yale University

Joshua Carter, Montana State University

District 14:

Pema McLaughlin, Reed College

Anthony Wilder L. Wohns, Harvard University

District 15:

Oscar De Los Santos, University of Southern California

Alexis A. Doyle, University of Notre Dame

District 16:

Nicole A. Mihelson, Johns Hopkins University

Caylin L. Moore, Texas Christian University
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more like loads swallower
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I thought the Harvard thing was a /sci meme? Real students go to a Shit State University campus.
>>
No UPenn, Brown or Columbia
No Duke, Michigan, Berkeley, UCLA

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What are some /sci/ approved brainlet jobs I can do in the event I fail my exams?
9 posts and 3 images submitted.
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engineer
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U. S. Marshal
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why not just retake the classes in summer school? tons of great scientists did bad in some classes. don't let it define your future. just grab your thong and get back on the red lights is what i say.

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What are the positive benefits of population control or forcibly decreasing the population of the Earth? Is this just some joke, or are their viable benefits of doing such an action and what effects would they have on the remaining population?
6 posts and 1 images submitted.
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A worldwide 1 child policy
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>>8489339
Protip:
>Over population is a meme.
As in, we have enough land, with enough resources, for it work (at the moment). Though, shipping useless fuckers off to Mars wouldn't be a bad idea.
>>
how about this, trump met for 40 minutes (which is a long time in billionaire minutes) with a prominent anti-vaccination supporter. Do you think making the general public believe that vaccines cause outbreaks so that the lower income population doesn't get these vaccines and produces and outbreak causing that population to die off. Population control which they brought onto themselves in theory.

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Any /sci/ approved movies?
Pic related is total pop-sci, but it's actually a really good thriller.
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>>8489252
Can we include TV programmes? If so, Hawaii Five-0, mindlessly entertaining, a great break from studying.
>>
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Let [math]a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{0}x^{0}=0[/math] have coefficients in [math]\mathbb{C}[/math]. (1)
The foundamental theorem of algebra states that
>every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots.
[https://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra]
That is, there are [math]z_{1},...,z_{n}\in \mathbb{C}[/math] that solve that polynomial.

>In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.
[https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem]
>An algebraic solution [...] is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots.
[https://en.wikipedia.org/wiki/Algebraic_solution]

Let [math]n=5[/math].
What does Abel–Ruffini say about (1)?
There exist [math]z_{1},...,z_{5}[/math] solutions for the equation (1) but there is a chance that one of the [math]z_{i}[/math], as an example, may be an infinite series?
Is finding the general solution for a polynomial equation an open problem in mathematics?
12 posts and 4 images submitted.
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Abel-Ruffini says that there's no formula to give you the roots of an arbitrary 5th degree polynomial

Note that there are ways to find roots for specific 5th degree polynomials

>but there is a chance that one of the zi, as an example, may be an infinite series?
Abel-Ruffini doesn't tell you what form the roots take, just that you can't express them in terms of elementary operations (+ - * / nth powers nth roots)

>Is finding the general solution for a polynomial equation an open problem in mathematics?
No, Galois came up with a good answer for this
>>
It doesn't sound like you've taken a course on Galois Theory, so I'll try and keep it simple (but if you really want to be learning about this, that's the area you should be looking in to).

Basically, you know how there's a niceish looking formula to find the roots of a quadratic equation - i.e. the roots of a degree two polynomial? Well, it turns out that, for degrees 3 and 4, there's similar closed form expressions to find the roots of a polynomial in terms of the coefficients (look them up if you want, they're pretty damn nasty). Keeping it simple, what Abel-Ruffini says is that there's no such formula for degrees at least 5 and we have to resort to numerical techniques (like Newton-Rhapson) to find the roots there.

This is not in conflict with the fundamental theorem of algebra, because that says that the roots exist inside C, whereas Abel-Ruffini just says that, in general, there's no nice closed form expression of those roots.

Also, finding roots is definitely not an open problem - Abel Ruffini says that, for polynomials of degree >= 5, it absolutely cannot be done using a nice closed form expression for a general polynomial in terms of its coefficients. Not that no one's found one, but that one doesn't exist.
If you don't care about the expression being nice, then we can still find all the roots (or, at least, an approximation of them) using numerical techniques.
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>>8489220
You really need to understand that those two theorems are talking about very different things.

The fundamental theorem of algebra talks about existence of roots and the abel-ruffini theorem talks about the construction of roots.

To understand it better you need to understand the fault in our real numbers.

Take the real number pi. Now, take the 99999999999999999999th digit of pi and switch it with the 999999999999999999999999999999999999999th digit of pi.

Now go to the 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999th digit of pi, take the next 100 digits of pi and replace them with 1.

Call that number a.

There IS a polynomial that factorizes to (x+a)^99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * (x^2 - 2)*(x+1)

But now imagine that I gave you this huge polynomial in its expanded form a told you to find the root. What would you say? You would say what the fuck!

This is why maybe, just maybe, "real" numbers are not as real as we pretend they are.

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>learning integration in cylindrical coordinates
>classmate arrives late to class
>asks me if the r in [math]dzrdrd\theta[/math] is part of the theory
>say no
10 posts and 3 images submitted.
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That's not nice.
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>>8489187
>Everyone in class working towards similar goal
>Push them while they're down to attempt to feel superior

>Doesn't realize that it's more beneficial to society to help person out instead of blatantly lying to them.

Not cool, anon. Not cool at all.
>>
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>>8489216
>>8489193
The lower their grades the higher the curve/raise on the final grade.

7 posts and 2 images submitted.
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Let me rephrase.
-Lords of /sci/ and wielder of the Iron Mind-
Grant me but a modicum of your Knowledge
>>
>>8489152
dont be lazy just use pythagorean theorem to solve for cos(b) and sin(a)
>>
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>>8489152
what a tool

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Is CS PhD a meme?
8 posts and 2 images submitted.
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>>8489141
Yes. but computer engineering is not.
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>>8489141
You want a BSc in Applied CS and a PhD in Applied Mathematics.
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>>8489180
what if I want to build an AI waifu?

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>mfw sequences and series
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What's giving you trouble senpai?
>>
Calc II?
>>
>>8489114
Calc II or analysis

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Political "Science"
Social "Science"
Computer "Science"

Reminder that adding the word "science" to you field does not magically make it science.
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>>8489091
biological "science"
>>
>>8489091
But they and normies think it does, I hope it doesn't cause a semantic shift?
>>
>>8489097
What the fuck did I just read? Thank God I didn't actually go through with studying medicine. Honestly, that is some messed up shit, anon.

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