/sci/ - Science & Math

Let x = 1. Then the left-hand side is 0. 0 is not 2/3.

>>1805891
>>1805903
Matter flows from place to place and momentarily comes together to be you.

Dawkins. Was quoted in Symphony of Science.

Also pic related. (Especially now that we're talking Dawkins.)

>>1806754
>Fractional calculus

Sup.

The sequence is
<span class="math">a_n = \frac{-1}{6}(n-2)(n-3)(n-4) + \frac{3}{2}(n-1)(n-3)(n-4) - 4(n-1)(n-2)(n-4) + \frac{21}{2}(n-1)(n-2)(n-3) + (n-1)(n-2)(n-3)(n-4)P(n)[/spoiler]
where P(n) is any function of n.

>>1806912
How about yes?
<span class="math">x = \cos t[/spoiler]
<span class="math">y = \sin t[/spoiler]
Only need one number to describe a point on a circle. It's one-dimensional.

>>1802642
MATLAB has built in ODE solvers so all you have to do is really write the equations down and create an interface.

>>1802508
>Start MATLAB
>Write your own

>>1802599
I looked it up in the book. It's actually Differentigral. Differentigral differintegral hmm...

>>1802589
In QED space and time are still continuous. But if you do the math on say a hydrogen atom it turns out that the electron can only have certain, discrete energies. So there are things that are discrete, but space and time are not. I guess this isn't what you're looking for if what you're looking for is more like the abstract you pasted.

>>1802586
Don't worry, I still love you.

Uhm, you mean like quantum electrodynamics? That leads to some discrete things, like energy levels in atoms.

Or do you mean electrodynamics in a discrete spacetime?

>Become governor of the central bank of Zimbabwe
>Print 100 000 000 000 000 dollar bills
>????
>PROFIT!

The integers are a subset of the complex numbers, so if you have the integer a just treat it as the complex number a + 0*i.

Anything that is defined for two complex numbers is defined for a complex number and an integer, too, because all integers are also complex numbers.

>>1801742
>womans brain
I don't think so Tim.jpg

>>1801668
You could say that. Subatomic level particle interactions are a bit more complicated than springs but your description is sound.

>>1801649
The nucleus has potential energy from the bonds in it. When it is split that potential energy becomes kinetic energy and eventually heat, in a material.

>>1801633
The "fish" means "is proportional too"

>>1801631
>Ph.D in chemistry
>Any high school teaching job I want
>35k starting
>Terminal cancer
>Any methlab I want
>1200k starting

>>1801597
You can't even hold it.

>>1801591
You know that the work done by a force is defined as
<div class="math">W = F\cdot s</div>
right? If we integrate the work along the path taken by a particle we get <span class="math">W = \int F\cdot ds[/spoiler]. But from Newton's second law we have <span class="math">F = m\frac{dv}{dt}[/spoiler] and from velocity being the derivative of position we have <span class="math">ds/dt = v \Rightarrow ds = vdt[/spoiler], so changing variables we get <span class="math">W = \int m \frac{dv}{dt}vdt = \int m v dv = \frac{mv^2}{2}[/spoiler]

(It's nice being a physicist. You get to be sloppy with differentials and you get away with it. This should also be a path integral but the end result is the same anyway.)

So the work done by a force is equal to the difference in <span class="math">mv^2/2[/spoiler] at the end compared to the start. That energy has to go somewhere, so that's a justificiation for mv^2/2 being kinetic energy.

>>1801591
You know that the work done by a force is defined as
<div class="math">W = F\cdot s</div>
right? If we integrate the work along the path taken by a particle we get <span class="math">W = \int F\cdot ds[/spoiler]. But from Newton's second law we have <span class="math">F = m\frac{dv}{dt}[/spoiler] and from velocity being the derivative of position we have <span class="math">ds/dt = v \Rightarrow ds = vdt[/spoiler], so changing variables we get <span class="math">W = \int m \frac{dv}{dt}vdt = \int m v dv = mv^2/2.

(It's nice being a physicist. You get to be sloppy with differentials and you get away with it.)

So the work done by a force is equal to the difference in <span class="math">mv^2/2[/spoiler] at the end compared to the start. That energy has to go somewhere, so that's a justificiation for mv^2/2 being kinetic energy.[/spoiler]

>>1801539
The second movie is at least as good as the first one. But it can easily come off as a bit pretentious, I guess.
>>1800816
>The Day the Earth Stood Still
You are talking about the 50s version right?

>Movie thread on /sci/
>Standard reply

>>1801457
I wasn't really
>implying he should GTFO
I'm sorry if it came across like that. What I meant was that /k/ would probably know more than /sci/.