Archived threads in /sci/ - Science & Math - 643. page

>>8819380
They're a field extension of the reals that allows us to describe solutions to the equation x^2 + 1 = 0.

They can be used to model lots of different physical processes.

>>8819380
originated in 16th century Italy
https://youtu.be/_qvp9a1x2UM?t=2m20s

>>8819380

Imagine a number line. Now copy that line and turn it at 90' to the original line, and BOOM there's your complex numbers.

>Is the speed of light in a vacuum greater or less than the speed of sound in the bar?
Gee, can physics solve this?

>>8819187
>>8815000

Of course it can. The impulse you give to the bar travels at the speed of sound in this material, meanwhile the photon travels at the "speed of light" The photon crosses the line first... BY FAR

>>8819178
they need different nutritive input, although the way you were raised and gut microbial has certainly a role in this.

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>>8819181
>they need different nutritive input
Really? How?

Anyway, pic related is some evidence for the idea that the races are biologically different. The genes that cause "Asian flush" are almost exclusively found in Asian populations. So clearly different races have different genetics, right? Which makes sense, because different races look different, so it must be genetics driving that.

Just wondering what /sci/ thinks about this.

>>8819186
how many races are there, can you name them

so i know what you want

>>8818885
>In this day and age, homework always comes with answers for some reason
no it doesn't, which daycare are you enrolled in?

do your own homework

for what value of x, nigga-san?

>>8819731
Im assuming he means for any value of x,

at least it is true when EC is vertical, since that's trivial to check.

>>8818228
When I realized the aether was real and it all becomes philosophy anyway

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When I realised I liked animation more than anything and that I was studying math just because it seems like the right thing to do. I told myself I study math because I'm fascinated but in reality if math wasn't an elite field I wouldn't be studying it.

I had that idea that there was groups of people that were inferior or superior based on their interests. Kinda like how /sci/ thinks.

>>8818228
When I adopted nihlism, accepted humanity as doomed, and sold out to engineering so I can be a rich hermit and not a cuckslave to humanity

>>8817362
Yes in fact historically most (almost all) scientists have been deeply involved with the church if not clergymen, themselves.

No it doesn't matter, this is old news.

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>>8817362
Yes.

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>>8817362
Yes desu

t. engineer

>>8815880
11, in unary

>>8815880
2 jard 4 mi

define '1' and '+'

Infinite energy and faster than light travel

How could a material have negative mass?

i'm curious what would happen if you pushed on an object with negative mass. you pushing on it would exert a force on it directed away from you, which cause it to move towards you, exerting a force on your hands towards it. would just touching it cause it and your hand to collapse into nothingness?

Its 1kg

>>8812919
no its 1.5kg

>>8812922
No its 0.5kg

It was very satisfying to realize what Grothendieck meant when he described Spec Z[x] as a magic fan holding together the affine lines over all fields.

>>8812654
Woops sorry buddy, didn't see you had answered. So the thing is that a squarefree number is entirely determined by its set of prime factors (given the number, you take its list of prime factors and conversely, given a finite amount of distinct prime numbers, you get a uniquely determined squarefree number by multiplying them and these are inverse operations).
Through this correspondence, the set of squarefree divisors of n with prime factors among the p_i with i <= j corresponds to the set of subsets of {p_1,...,p_j}, which is how I got [math]\sum_{d^2| n, d \text{ squarefree}} \mu(d) = \sum_{S \subset [\![1,j]\!]} \mu(\prod_{i \in S} p_i)[/math]
The equality [math]\sum_{d^2| n, d \text{ squarefree}} \mu(d) = \sum_{S \subset [\![1,j]\!]} (-1)^{|S|}[/math] then follows from the definition of the Mobius function.
After that, it's all formal: we group the subsets by cardinality (which is formally what you meant by grouping the divisors by their number of prime factors): [math]\sum_{d^2| n, d \text{ squarefree}} \mu(d) = \sum_{i = 0}^j \sum_{S \subset [\![1,j]\!], |S| = i} (-1)^i = \sum_{i=0}^j {j \choose i} (-1)^i[/math] and then we get the conclusion
Let me know if it's still not clear

When a plasma arc slices through a piece of glass, is it doing so with JUST heat, or is there some electrical shit going on too?

>>8821532
Im on mobile so please dont comment on spelling errors, thank you

scientists belong in the lab, not marching in the streets

>>8821536
>implying that scientists shouldn't voice their concerns

170 partner organisations are supporting this initiative, including but not limited to: the american association of physics teachers, MIT press, society for neuroscience and many more..

Yea, I'm 160 with a PHD in mathematics and you're 134 with a ged from high school

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>>8821107

>PHDs post on sci

>>8821091
So that puts you at what... eighty?

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Maybe this place will work better

e4

Almost forgot, solving for the case lambda = 1.

>>8820982
shut up and post a lichess game you idiot

>>8820785
bump

>>8820785
Stomach?
t. not a medfag

Looks like it could be stomach because of the three muscle layers in different directions.

>>8820472
It's actually the opposite. The industrial revolution happened because the world was getting warmer and it was fucking up people's crop yields. Correlation != causation.

>>8820480
>It's actually the opposite
>the world was getting warmer

???
How did victorian factories cool the world? Also isn't warmer climate good for crops since libertarians say so?

Doesn't matter


China and india need to be dealt with now. Third world genocide is the only solution to save the environment.

Prove me wrong