Who else has a blackboard?
I just picked one up today, the home depot sells 2x4 sheets for ten dollars each.
I'd rather not have chalk dust in my living space tbqh
>>8537436
Woah man, ever seen a fucking whiteboard?
You are the kind of dude that is still fucking reading paper books. I bet you have a bookshelf too faggot.
>>8537486
Whiteboard suck ass due to lack of contrast. Chalk all the way senpai.
Two objects move in circular paths of radius 1 so that each intersects the center of the other's path, as shown in the pic.
The position functions for the objects are as follows:
p1 = < cos(t), sin(t) >
p2 = < cos(t^2) + 1, sin(t^2) >
When will the objects first collide?
>>8537373
Set them equal and solve for t.
They might not collide ever jsyk.
>>8537388
Just say you don't know, bro.
A part of a lecture by the famous physicist and great teacher Richard Feynman.
https://www.youtube.com/watch?v=0RRkFSJ6o0A
>>8537250
>Richard Feynman
He had an IQ of 125.
I have an IQ of 175.
He was a literal brainlet holy fuck.
>>8537252
>no nobel prize
>no sex with yours students wifes
>no based bongo
Why even live?
>>8537252
IQ is a mere number I guess. He knew how to explain things in a simple easy way. Wish I had a teacher like him ! Meeh
Now that I've got your attention, what's a good free TeX editor that /sci/ likes for writing research papers?
http://overleaf.com/
>>8537211
TexLive.
I'm a texmaker man myself
Hello /sci/.
I am currently studying mathematics and at my university (I think at all universities in Germany) a subsidary subject is mandatory. So far I noticed that I am highly untalented in physics and computer science (the 'classical' ones).
Now to my question: How important are these subjects to mathematicians working at uni (i.e. the academic staff)?
>>8537047
How important are computer science and physics to mathematics? Well they aren't, at the most abstract edge of physics there's some interesting interplay, likewise (but to a lesser degree) with comp sci. But neither are important to mathematics.
Maybe I formulated my question in a bad way:
If my personal goal would be to become a researcher in mathematics, then how important is the choice of the subsidary subject? I mean surely the mathematical faculty works together with physicists and computer scientists, right?
>>8537047
CS, not at all. Combinatorics and Graph Theory appear in so many different problems that you can ignore the CS applications.
Physics, somewhat as a lot of math has been motivated by physics and knowing the basics will help you understand where it's coming from.
Is there an easier alternative to this book?
I'm about 450 pages in, using it as kind of a nosedive into analysis. But it seems like allot of people on the internet think Spivak is "advanced" material or some shit. I thought this was an introductory book?
Can any math major tell me what "level" this book is on? I assumed 1
Rudin's Principles
Its very basic material but some of the problems are very challenging. Overall its about the same difficulty as Rudin in terms of problem difficulty but of course Rudin is more abstract and formal.
>>8537005
Honors level for calculus
Remedial level for analysis
Does a solution for x exist?
>Random numbers randomly distributed around a geometric figure
>Solve for me /sci/
Kys faggot
>>8536992
nowhere near enough info to tell
You only gave us 2 sides of 3 triangles.
No.
Are central banks necessary?
Why do we allow private entities to make money from huge national debts?
Are there alternatives to fiat currency that don't rely on gold?
Bitcoin
>>8536983
Wow that's for the generous one word answer.
I heard you guys weren't completely retarded here. How do you feel about the rule of the money lenders?
Communism
We survived hundreds of thousands of years without money. It's like Facebook.
How viable is it to create a virus specifically designed to exterminate fleas?
>virus spreads to fleas
>flea bites human
>oh shit the virus is causing side effects in humans
>>8536851
Not a problem if we choose a flea-exclusive receptor for cell entry.
Now the problem is knowing enough of flea's cells structure to identify such a determinant.
From this point onwards it's a trivial task I feel.
>What is Black Death
Are short spine doggos a good example of the kind of mutations that lead to speciation?
>>8536812
no because they die and who would want to mate with that.
>>8537327
this guy
>>8536812
No. Artificial selection is good for demonstrating that the mechanisms that allow evolution operates in exist, bit it's terrible for understanding evolution itself.
If you look at the gene pool of dogs, you'll find that the differences between breeds are just a handful of genes and that interbreeding between dogs is generally an extremely simple affair, excluding problems with drastic size differences and such.
A better model is the Darwin finches. Imagine there is an island with an average Finch on it, and two types of seeds, one that requires a large, hard beak to open it, and one that requires a small, dextrous beak, so that a mutation that's beneficial for eating one seed is harmful for eating the other. Initially, mutating in either direction is beneficial; if you are eating harder nuts than the rest of the finches at the expense of not eating smaller nuts a normal beak would give you that's a net gain--you have gained access to a resource with low competition in exchange for losing access to a resource with high competition, a net gain.
Fast forward a little and we now have a population of normal beaks, little beaks, and big beaks. The normal beaks must compete with small beaks, normal beaks, and big beaks for their food and are at a disadvantage. If you are a finch with a big beak and mate with a finch with a small beak, your kid will have a normal beak will be at a disadvantage because of it. Meanwhile small beak + small beak or big beak + big beak produces fitter children, and so the big beaked population is dominated by birds with primarily big beaked ancestors, and the small beaked population is dominated by birds with primarily small beaked ancestors. Eventually, random genetic drift happens between the two populations, and the mixing of the genes stops producing viable offspring, creating speciation.
tl;dr, when miscegenation breeds weakness, speciation results
I am taking differential equations next semester and i'm wondering how difficult the class is. I found cal 2 and multivariate calculus to be relatively easy and i was wondering how they compare to differential.
I heard differential eq's covers considerably less material than calculus 1 ,2 or 3.
Any help would be greatly appreciated
if you found calc 2 easy then you should do fine in differential equations. i got a B in calc 2 and a D in diff eq's.
>>8536621
At most universities the "differential equations" course is cookbook to the absolute max
If you can remember like 10 methods and which equations to apply them to you should come out with 95+%
I've seen the material at over a dozen universities for their DE courses, and it's literally mindless. It's the literal definition of applied math vs actual math. Even Calc 1 has some actual math slightly explaining the theory, but DE from what I've seen is literally "IF situation A, apply algorithm B".
Differential Equations thread
How in the fuck does one apply a Laplace transform to this equation, where u(t) is the step function. Final tomorrow trying to learn this shit, and wolfram doesn't offer step by step solutions.
This is what I wrote down but I must have fucked up somewhere because I got the denominator right but the numerator is fucked up
Wouldn't you set t-6 as a standard t and then do it out from there?
Like u(t-6) would be u(t) and then sin(4t-24) would be sin(4t) and then plug back in later or something?
>>8536375
Yeah I noticed that too, but I just don't understand what to do with the t and e^2t, I was thinking that I use the two equations t^n f(t) and e^at f(t) and using the u(t-6)sin(4t-24) as f(t)
give your list of 10 with a few words explaining why for each
1. myself
2. myself
3. myself
4. koko the gorilla
1-10
im #11 but im a neet because im lazy
>>8536061
How can /sci/entists even compete?
how do you actually prove this?
>>8535862
Induction.
>>8535868
but where do you start your induction? do you associate the product of two sums of squares and just multiple them together?
also quintics are terrifying. i don't know nearly enough math to touch this topic.
What is the best book to learn about mathematical proofs?
>>8535617
Conjecture and Proof by Laczkovich
how to prove it
>>8535617
instructor solution manual is online
https://www.amazon.com/Mathematical-Proofs-Transition-Advanced-Mathematics/dp/0321390539