which is better
groups or fields?
>>7972314
better in terms of what?
>>7972314
test for name
>>7972314
Finite fields > Groups >>>> All other fields
When did you realize that anthropogenic climate change is the biggest scientific hoax in history?
>>7972081
c.u.c.k
>>7972081
It took me quite some time to figure this out. I mean its hard to overcome the brainwashing, when you're being told the same "information" over and over again every year in school and every week in tv. But in the end my scientific mind forced me to question it regardless.
>>7972081
>a British judge
Nigger, it took TWO judges to even realize that the offense they charged me with didn't exist. I don't trust judges to know shit from shinola.
What are some useful drugs to take to improve exam performance? Something that will reduce anxiety and increase concentration. I have a 3 hour exam coming up and would like to try using something.
And before someone says "sleep", yes I will have enough sleep.
Cocaine
Methylphenidate
Meth
>>7976030
I was considering some kind of ADHD medication or/and phenibut.
>>7976033
My boss said that in college the combination of speed, adderal, and Copenhagen chew was what got him through all of his classes.
What precisely is an angle? The problem is that defining an angle correctly requires calculus. This is a point implicit in Archimedes' derivation of the length of the circumference of a circle, using an infinite sequence of successively refined approximations with regular polygons. It is also supported by the fact that The Elements [Euclid] does not try to measure angles, with the exception of right angles and some related special cases. Further evidence can be found in the universal reluctance of traditional texts to spell out a clear definition of this supposedly "basic"...
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>>7975463
an angle is the degree of parallelity between two lines
180 degrees is negative parallel
0 degrees is positive paralell
90 degrees is positive non paralel
270 degrees is negative non parallell
kinda simple definition desu, dont overthink it
>>7975468
How does one measure this "parallelity"?
>>7975476
by taking the angle of two lines
Chemical engineer here.
How do you make an equation to approximate a curve?
I am referring to the dashed line in the picture.
I know you could just eyeball it and make a similar curve, but how would a methemetician do it?
>Chemical engineer here.
>asks this question
yeah, nice try
>>7975092
so in otherwords you dont know either?
i should of not bothered asking apparently
>>7975084
0/10 bait
Might be more believable if you had posted "chemical engineering student," but you need a grad degree and licensure to work as an actual chemical engineer, and there's harder math than this on the test.
Is c an irrational value?
Is the speed of light not a limit where you require infinite energy to increase velocity anymore, where time from the objects point of view stops, and mass becomes infinite (if it's an object with rest mass)?
So is the limit an irrational and transcendental number?
>>7972293
No, it's defined to be 299,792,458. Which is an integer.
>>7972301
Does not even deserve a bait image
>>7972301
And pi is defined as pi in base pi. It is an integer. :^)
In my opinion, the beautiful thing about science is that it doesn't requiere faith. Science provides facts.
However, I see little reason to have trust into the ability of climate scientists to accuratly predict the development of global climate. Also, I am afraid that many climate scientists might be corrupted my money, peer pressure and ideologoy.
Should I blindly trust the opinion of experts, even they can't provide any satisfying proof?
CC is officially the new qualia. Really shows a decline in the board
>>7954433
There are literally 1000 threads on climate change, check the archives next time. This thread simply existing proves that our mods are newfags who fail to differentiate between shitposting and an actual thread.
>>7954433
It is scientific to be skeptical in the face of reasonable doubt or when the evidence is not conclusive.
It is illogical to remain skeptical when an idea has been conclusively proven to be true.
Faith is the domain of theology. The only way to truly know something is to educate yourself and examine the evidence.
Bear in mind that when you are examining the topic of climate change, everything that you accused climate change scientists of doing can be just as easily leveled against those scientists...
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>atmosphere is made of 90% hydrogen
If you were to light a match on Jupiter, the entire planet would catch fire, but how long would it take to burn? Would the planet become a miniature star? Could Europa start to inhabit life?
>>7968299
>If you were to light a match on Jupiter, the entire planet would catch fire
Why? Hydrogen won't burn on its own.
>>7968299
>mfw the sun is 25% helium and it still burns
>>7968305
explain the sun then
No Pre-Calculus, Calculus I-III questions allowed. Anything else is fair game.
>>7947048
Can someone describe what a type constructor and a bind/shove operator is and how it is used to define a monad?
>>7947048
>Calculus I-III
>advanced
Got a couple quick group theory questions
If H is a subgroup of a group G, then if a is an element of H, is it true that the right coset Ha = H?
Also, not sure, is the identity
element of a quotient group G/H just H?
Stupid Questions Thread
/sci/ what is the purpose of capital Pi? I've gone through most of the undergraduate mathematics and I've actually never seen a single professor use this operator under any circumstance.
Does it have some very niche product formulas to get a number? How is it applied? Or is it just a useless "cool" sorta thing?
I've used it in a class on number theory
Also in complex analysis (Riemann zeta function)
>>7943466
It is the product of a series.
PI,n=1, 10 = 1*2*3*4*5*6*7*8*9*10
This here's already up
>>7943466
Isn't field theory just as ridiculous as Ptolemy's epicycles ?
Field theories come down to the idea of assigning a value to every point in space, it sounds as non-predictive as the epicycles.
What am I missing here ?
>>7975867
I think the very notion of "point in space" is flawed.
>Isn't field theory just as ridiculous as Ptolemy's epicycles ?
I don't see how either of those is ridiculous, even if the later idea faded out.
>it sounds as non-predictive as the epicycles.
Once you fixed which circles sit on one circle, you can predict the future time positions, what's the problem. That's basically Fourier analysis btw.
With fields, you set up dynamics (maybe respecting some symmetries) with unique solutions from given initial conditions.
>>7975890
>Once you fixed which circles sit on one circle, you can predict the future time positions, what's the problem. That's basically Fourier analysis btw.
are you retarded ? you have to make a different set of circles for every single possible configuration of planets in the universe
it's not predictive, just like you have to know the function beforehand to calculate it's fourier transform
Quick test for you.
How many lines can be drawn trough point P so that the lines are parallel with line L?
Domain area in circle
>>7975689
One?
1, do your own homework.
Suppose you are traveling towards a clock.
Would you not see that clock move faster, because you are traveling through the light it emits?
it will only appear faster when you are also moving at the speed of light, in which case the clock will appear to be running twice as fast
any speed slower than light will appear normal because light speed is a universal constant, theres only non-light speed and light-speed
>>7975188
Unless you are traveling at like a quarter the speed of light(that's a random number) the effects would be so minuscule they wouldn't matter.
>>7975191
what?
Relativity says that it should appear slower. But with the thought experiment in the OP it would be faster. Which is it?
Interstellar says fifth demensional beings can climb time (the fifth dimension) like a mountain or a valley, but what is at the bottom of the valley?
Wouldnt the bottom of the valley be indestructable since that would be the beginning of time and if they climbed down that far wouldnt they explode from the big bang energy?
I would of thought that fifth dimensional beings would just have the ability to phase into locations in three dimensional space time like we can phase in and out of 2D objects.
Doesnt this not make sense?
And why didnt he get noodled by the giant black hole? And also a black hole that big wouldnt it take ages to reach and then pass through the evidence horizon?
They fixed the black hole to make it easier for Coop to travel to the core.
i mean if they could just hack 3D space whenever they wanted, why not just hack away earth's problems?
instead they forced them to go and live on a cylinder for the rest of time
Maybe time doesn't have a beginning? Just infinite cycles.
Also I think he didn't get noodled because the teseract or whatever they call it was on the event horizon?
What's the most efficient way to learn multitudes of different, unrelated things?
I want to learn a new maths, languages, to play guitar, to be able to sketch, program a computer, etc.
then do it and stop being a little bitch posting about it on the internet instead
>>7974603
OP here, with some additional info.
Like (I'd hope) most of you I keep pretty busy in the daytime with school and work, but I have around 2 hours of free time in the mornings and evenings.
Would it be best to do an A-B style of pattern, where on day A I study maths and a language, as an example, for an hour each, then the next day do guitar and sketching and repeat?
Just a thought to clarify what I'm asking here.. Trying to figure out how to do this using as little time as possible...
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>>7974613
It's not that I'm not - it's that I'm going about in an unstructured manner and I think adding a logical structure would be very beneficial.
Sorry I forgot my trigger warnings