hi nerds could someone explain to me how the LHS is expanded to the RHS plz? i suspect it's a vector calculus operator or possible the chain rule but am bad at both
sorry i mean LHS to the middle form, i get that the second part of the middle equation is 0 for conserved phi and hence the first part is equivalent to RHS
Use the product rule for each term and then rearrange.
i see product rule on the first term expands into the 2nd equation, but what happens to the div term?
Discuss what would happens if Earth were to become a rogue planet.
I'm curious.
>pic unrelated
>>8577452
We'd die without a sun.
>>8577452
We'd all freeze to death.
Well I guess some smart people would live under the frozen oceans and keep warm with nuclear power.
But you and me, we'd be dead.
while everything would shatter from the cold after a few days you could make a pretty good underground shelter in/around a geothermal vent. It'd take a few years of planning though, not something you could whip up after the fact
In this question, what does the x mean that is given in the compound? I'm not asking you to answer the question if you do not wish.
>>8577408
>>8577412
I believe it means [math]x[/math] of the compound given, for example 2H20 or 3H20 or 4H20
>>8577408
its a molar ratio of how many water molecules per molecule of sodium sulfate, its supposed to be a "multiply by" dot
How likely are we to see an AI "end of work" type scenario within this century? Or is it all just a meme?
>>8577123
very very likely
Incredibly likely
>>8577123
Impossible.
Anybody know a thing or two about goodwillie's calculus of functors?
The nlab page has a quote that goes something like this:
"One tantalzing aspect of the goodwillie calculus is that it suggests...that [the category of] spaces has some non-trivial curvature."
What can anyway give me an idea of what this is supposed to mean?
>>8577001
>What can anyway give me an idea of what this is supposed to mean?
it means nothing. it's just pure mathematics and trying to justify their useless autism-fueled creations
>>8577004
Please go.
>>8577001
wow categories look a lot like eggs
egg theory...!?
I want to build my own AI. Where should I start?
Hello, World!
>>8576970
I know python. Is this a good language to star writing my AI?
>>8576973
if you have to write AI then is it really AI?
Why did women evolve to enjoy sex and being promiscuous?
>>8576855
>Implying it isn't cultural.
You strike me as someone who hasn't been outside the Western world.
>Being promiscuous that is.
The orgasm thing is more about causing muscle contractions as to draw semen up into the womb. Also, to make them actively seek out sex, as to proliferate the human race.
>/thread
>>8576855
Because God willed it.
>>8576863
Preach, brotha'!
Why whenever you see a depiction of the structure of a black hole (conic) or wormhole (double-conic) is their topology assumed to be a cone?
>Black hole: http://imgur.com/a/KGOFQ
>Wormhole: http://imgur.com/a/bojCo
Bump for interest.
>>8577400
Thank you for the bump, anon, I hope I get some answers.
Topologically black holes are usually some variation of spherical. Wormholes are essentially cobordisms of two black holes.
Any space guys in europe that knows what that bright spot is next to the moon right now?
Is it a planet or star?
venus
http://earthsky.org/tonight
>>8576776
Noice.
Why isn't ageing itself generally considered to be a problem to solve?
Because its probably impossible.
Because that would be playing God.
>>8576510
We really need to start on it. People have stopped dying but in are modern democracies with below average birthrates par near useless shitskins we need to extend the productive years so we wont have to kill them off anyways.
So, I was browsing textbooks on amazon, and when looking for a few mathematical methods books came across a common theme in the reviews sections.
Quite a number of physics professors or whoever makes reviews of math methods books on amazon seem to conclude that material like vector calculus is a methodology that while applicable, and useful, isnt quite as "pedagogically sound" as differential forms, especially in regard to electromagnetic field descriptions.
This raises a bigger question in my mind. In today's world, exactly how much of the older methods are simply being taught because that's what the teachers were taught cuz it just werks?
What are some other areas where this is a big problem for making the transition from undergrad to grad?
>>8576344
The math used in modern theoretical physics is beyond almost everyone. Vector calculus isn't actually used anymore, being replaced by modern multivaraible calc like that found in Spivak's calc on manifolds. Educators don't know that since most of them didn't get to the cutting edge modern math and physics, so they just teach the vector calc since it's simple and that's what they were taught. Another issue that comes up is the focus towards "applications" since many more students take math courses that won't actually learn the later math. Like engineering, CS, chemistry, etc. majors. Teaching them about manifolds would be pointless since they really won't need it. The math and physics majors who will need it are pulled back as well, since the educators in charge don't see the problem. This is the case in most universities except for the top ones like MIT which have separate honors math courses or accelerated programs which skip the lower level courses to get to the rigorous ones. These two things combined, the educators never learning the real stuff, and the need for applied courses cause the calc1-3,linalg,diffyeq phenomena to continue.
Some examples of strange material being put into this sequence for no good reason. Calc 2 focuses on sequences and series, but to no real depth like in real analysis. So you just memorize some ways to check convergence of some canned examples which have no real purpose and you'll easily forget them since you never understood them properly. Linear algebra is mostly fine except it doesn't get to many interesting and useful topics like tensors or actually applying them like in solving linear differential equations. Differential equations is the worst of the bunch. Literally just memorize a sheet of paper with all the methods on it and that's it. Worst of all is that they tell you about Laplace transforms without telling you how they are actually used.
>>8576344
Differential Forms, Tensors, Quaternions, Exterior Algebra, Clifford Algebra, etc etc
>>8576372
>The math used in modern theoretical physics is beyond almost everyone
citation needed. do you have an example? whenever I encountered mathematics that triggered the fuck out of me (due to appearing freakish) it turned out to be not that hard after all once you dove into the material properly
Hi /sci/, so, im gonna study organic food production and in arround 3-4 years im buying some land to go live in, the idea is to be as self-sufficient as possible.
So i recently found out about sterling engines, and i wanted to know how much power can i put out of it, if i get somethin with a small river or something, i'd have covered the cold side, and i could connect it to my chimney, or get some solar reflectors to heat it up.
do you guys know how i could figure out how much power can i output from it?
see >>8575343
It's a couple of isochores and isotherms. It shouldn't be too hard to figure out the efficiency once you know the temperature of the water and the hot side. Look up the equation or derive it yourself. I'm too lazy and disinterested to do it for you. Once you figure out the work you can get out of it, you can estimate the power. All of this is theoretical though, so keep that in mind and don't be shocked when you actually get way less than you estimate.
>>8576106
There are too many variables to tell you with confidence how much energy output you will get with a DIY Stirling engine. One weak link in your setup will sap power from the entire system. The same goes with all DIY power setups, but more so with a Stirling engine since they are rarer than most DIY power systems.
Suffice it to say, yes you can make a large Stirling engine system that can power your house, via solar. I'm talking upwards of 10kw. However, stuff like that would be rather expensive and require skills/knowledge you will need to hone over a few years to get it right.
A simple 1kw solar Stirling engine system would be much easier to make in short term with reduce budget. You will need to study the different types of Stirling engines too to see which one fits your needs the best (Alpha/Beta). You may even want to couple it with something else to utilize waste heat (water heater for instance).
Essentially, you can get as much power out of it as you have skills, knowledge, and resources to make it. Got any old 12-feet diameter satellite dishes handy?
What's all that bullshit about the poles melting and raising the oceans?
If you put an ice cube on a water glass and it melts, the water's height stays the same.
>>8575812
>Implying all the ice in the world in currently IN the ocean.
/thread
>>8575812
>If you put an ice cube on a water glass and it melts, the water's height stays the same.
Please tell me youre joking or this is some new type of meme im not aware of
>>8575825
Not OP but it does. Best part is that you can easily test it.
>There are people on this board who believe that true randomness exists
>inb4 "muh quantum mechanics"
This is a science beard. If you believe in the relativistic interpretation of quantum mechanics I shall redirect you to the /x/ board where you can discuss other popular exoteric beliefs with your fellow brainlets
>>8574595
get asscancer and die dumb frogshitter
true randomness is a funny phrase
randomness implies a scale of random, while true doesn't really fit on that scale
Would it be taken to be the most random?
I mathematically proved the pyramid builders had knowledge of the meter and the speed of light, and that the royal egyptian cubit can be objectively determined
https://www.youtube.com/watch?v=1FPgcg5TBSA
>>8574054
>mathematically proved
>>8574054
Please don't reproduce
I met many retarded people in my years on this site but you easily made it into the top 10 with this
You actually don't understand shit, so please let me give you this one advice, and please take it:
You are horribly stupid and it hurts, don't ever try to spread the shit you believe to know about anything ever again.
Now please try to think about the shit you're telling us here for at least 5 minutes and maybe you find the giant flaws in your logic all by yourself.
No one is here to give you private lessons. Maybe google "How were the pyramids made?".
If you still don't get it then, just kill yourself
>>8574054
comedy gold holy fuck