/sci/ - Science & Math

metals can be mirrors because they conduct electricity

>>5931250
what the hell does that even mean?

>>5931250
no FTL

>>5931257
It means God DOES play dice. Check mate theists.

There's more water on Europa than on Earth.

"Has anyone really been far even as decided to use even go want to do look more like?"
- Derrida

Poop is smelly

>>5931306
And tasty.

>>5931333
Subjective. The smelliness is a Universal Truth however.

magnets

temperature

math

A spec of dust is halfway between the size of earth and the size of an atom.

Also, space is smelly

>>5931279
im calling bullshit
>>5931349
im having a hard time imagining that

>>5931924
OBVIOUSLY THE RATIO NOT LINEAR

The universe is expanding so fast that distant galaxies are literally being pulled further away, despite gravitational attraction, due to the fabric of space and time being stretched along with the expansion of the universe.

If the universe were (graham's number) meters across, there would be a 99% chance of an exact duplicate of your atomic arrangement occurring multiple times in the universe.

There is a method of space travel that allows the traveler to "technically" exceed the speed of light without moving, as it actually moves the physical space fabric infront and behind of the vehicle - similar to the Professor Farnsworth Space Ship's FTL Engine.

There was an ancient race of humanoids that were a mix of Neanderthal and other humanoid species called Saxonians that possessed insanely high levels of strength and speed, but lacked intelligence that Homo sapiens possessed. Because of this, fighting (and some mixing) between the two led to the extinction of the Saxonians. Homo sapiens believed at the time that it was essential to destroy the Saxonian reminds for some reason and because of this there are almost zero skeletons or remains remaining of Saxonians. The skeletons are indistinguishable from humans except for the fact that the bones were much thicker and stronger, and the ribcage was bigger to allow for more air in the lungs. There is almost zero documentation of the Saxonians due to lack of reason and lack of physical remains.

Fascinating shit.

>>5931349
Do our noses interpret vacuum as some kind of smell?

Also that would pretty much make a spec of dust 1/2 the size of the earth. (A+B)/2

>>5931994
No, we can smell particles in that vacuum though. Astronauts who re-enter oxygenated areas can smell their suits when they get out of them, and they say it smells like seared steak!

$ wn mind-boggling -over

Overview of adj mind-boggling

The adj mind-boggling has 1 sense (no senses from tagged texts)

1. mind-boggling -- (intellectually or emotionally overwhelming; "a mind-boggling display"; "a mind-boggling puzzle")

Sorry, I don't know any facts that overwhelm me.

>>5931968
i googles saxonians and nothing of what you said came up about it

>>5932017
I already explained why this is so. It's an unfortunate fact that they've hardly been researched. The majority if the research is in physical notebooks and journals tucked away. :/

The earth is flat.
It only appears spherical due to space being curved by it's mass.

>>5931250
I don't get why that's profound.
Primes occur randomly. Any multiple of a random number is obviously random.

The sum of an infinitesmal parts can be either infinite or finite.

>>5932032
So, basically you're full of shit?

>>5931994
>Do our noses interpret vacuum as some kind of smell?
Smell is a product of having an atmosphere. You don't interpret the smell of the vacuum, you smell the items that have been in space but are now in a pressurized area.

And for your curiosity, astronauts say that their spacesuits smell like steak and some metallic smell. It is, if I recall correctly, because of the charged particles that hit their suits in space.

i^i is a real number

>>5932047
>Primes occur randomly.
What does this mean? It doesn't sound like it means anything.

Can anyone tell me if removing a set of outer measure zero changes the inner measure of a set?

>>5932066
There have not yet been any patterns found to predict when prime numbers occur, therefore they are random.

Unless you're asking what 'random' means, in which case a dictionary would assist you.

>>5932075
It's not random. There is a pattern, it's just complicated.

>>5932102
Yea, either that, or it is random.

>>5931335
To the Smell-O-Scope, everybody!!

>>5931349
define spec..

>>5932107
How can it be random? 3 isn't randomly prime, there is a reason it is. And so is there for any other prime number. Will 3 one day randomly stop being prime? No.

>>5932102
I have no sauce, but I know I've read that it's been proven that no function can exist that would predict primes. I don't think they follow a pattern, per se, but are instead a set of numbers excluded from a certain (infinitely large) set of patterns.

>>5932111
>Will 3 one day randomly stop being prime?
This is not how 'random' works. If I flip a coin and get tails, the tails doesn't at some point turn into heads.

That something is random does not exclude the possibility that there is a pattern to it.

>>5932115
So I asked what is meant by random. No, a dictionary didn't help me.

>>5932040
Go to bed
Flat Earth Society

>>5932113
I call for boooool cheat

<span class="math"> f(n)=2+(2(n!)\mod(n+1))[/spoiler]

>>5932495
fuck tex
<span class="math">
f(n)=2+(2(n!) mod(n+1))
[/spoiler]

>>5931250
Properties of http://en.wikipedia.org/wiki/Chaitin%27s_constant

and stuff linked to this field.

>>5932113
It's been proven that there's no *polynomial* f: N->N that will give you all the primes, but to say that there's no function at all that would give you all the primes is clearly absurd.

>>5932075
The pattern of primes is are the numbers that aren't divisible my any number except 1 and themselves.

>>5932113
Let f(x) = The x-th prime number.

f(x) predicts primes.

Two things are certain.

1. Process
2. Awareness

Everything else is an illusion.

>>5932040
i am flabbergasted.

In an utterly hypothetical situation where there was some sort of medium (such as air) to help sound travel from the Sun to the Earth, the Sun would be about 125dB loud here on Earth's surface (slightly below the threshold of pain).

>>5932118
>I asked what is meant by random.
The digits of pi are a good example of randomness. There is no way to predict what they'll be with any mathematical model, you just have to look them up.

>>5932017
>>5931968

Same for all that shit on grahams number.

Platonism vs anti-Platonism and The Problem of Induction.

>>5931250
>Define random, Erdos you whore!

>>5932057
loved this one.

>>5932521
I like Numberphile too :)

>>5932590
that statement made about an exact duplicate is a statement about a different number 10^10^28 meters. there would be a shit tone of universe in the distance of G meters!

Citation:
>http://space.mit.edu/home/tegmark/PDF/multiverse_sciam.pdf

>>5932050
dude what

>>5932075
oh my god you are so dumb. http://phys.org/news160994102.html

The universe loops in on itself like a Pac-Man level because the gravity of the universe itself bends its own space in on itself.

>>5932894

Ist a klien bottle
wit too spoots

There are more stars in our brain than atoms in the universe.
-Richard Dawkins

>>5932894
Alice universe

>>5932894
no, observations show the universe is flat.

>>5931257
The product can be anywhere in the set of composites and it's always only one member of it. Also, product combinations of primes eventually gives us all the composites.

>>5932923
Your head is flat, dork.

>>5932057
I read the letter of Euler to Goldbach where he stated this fact. He was so emotional and I had a tear. It's so fucking beautiful.... ALL OF THIS AMAZING WORLD BASED ON SEEMINGLY TRIVIAL AXIOMS IS <span class="math">SOOOOOOOOOOOOOOOO[/spoiler] FUCKING BEAUTIFUL! HOW THE FUCK CAN YOU NOT BE A PLATONIST? HOW?

>>5932941
>hur

>>5932941
I know, it's from your mom sitting on my face so much.

>>5932945
>italics on 4chan

There's a fucking mystery.

>>5932945
Also, something that should blow all of our minds... Gödel's incompleteness theorems.
There is some malignant individual out there that really doesn't want us to get to the bottom of this stuff.
Also, every work of Cantor. If that doesn blow your mind....

>>5932945

Whether or not you get emotional over math separates the mathematicians from the math enthusiasts .

The product of two primes is a product of two primes.
How does it suppose to be random?
Random is generated by its mean. It is a primitive concept.

>>5933030
I'm studying math at uni now faggot. I'm not yet a mathematician but not simply a math enthusiast either. Also, I said Euler was very emotional in his letter to Golbach. lrn2rd,fgt

>>5932945
Link?

>>5931250

This follows from the fundamental theorem of arithmetic right?

>>5931256
This is kind of true though

>>5932108
AHHHHHHHHHHHHHHHHHHHHHHHHHHH

>>5932057
Which letter? I'd like to read but there are over 100

>>5932071
no it doesn't

>>5933198
This is exactly what popped into my head.

>>5931968
Yeah but Andromeda is on a collision course with the Milky way galaxy, in a few billion years. DAFUQ WE GONNA DO

>>5932113
>he hasn't heard of the Riemann Zeta Function

>>5932987
Latex is no mistery

>>5933681
Is this supposed to be a joke? I don't get it.

>>5932573
>There is no way to predict what they'll be with any mathematical model, you just have to look them up.
lel

satellites' positions depend on the position of the earth (Greenwitch,...)

GPS coordinates depend on the position of satellites

coordinates on the earth depend on the coordinates on the earth

The Central Limit Theorem.
Simpson's rule is exact for cubics with at least (I think it's two) strips.
The Abel-Rufini theorem, and the Fundamental Theorem of Algebra.
The limit of the quotient of successive Fibonacci numbers is the golden ratio.

>>5933739
I was going to say something similar. Trying to map the positions of two interacting particles with a function, at least as far as my feeble human mind can figure, seems impossible. The same thing seems to happen with prime numbers.

>>5933758
I mean, you can't predict the position of either particle, because it depends on where the other particle is, which depends on the forces that acted on it in the past, which depend on the past location of the first particle, which.. yeah, you get the idea. It's not "random," the particles will behave the same way every time, with the same initial setup. Just like primes. They're interacting. Whether or not p is prime depends on whether or not q is prime, which depends on... etc.

Colors don't actually exist, our eyes were just built to recognize them

When I thought about it for a second, it blew my mind.

>>5933837
Indeed, it is amazing. How do stars made of only a fraction of an atom shine so brightly? Our grand Creator baffles me daily.

I refuse to think, therefore I am . . . obstinate.

Water freezes at exactly 0°C

The sun is exactly 1 au away from earth

>>5934029
The king's foot was exactly one foot long!

>>5934050

One kilogram is 1000 grams.

Penis.

>>5934058
1 kg of water is exactly one liter
modern science hasnt discovered the reason for this surprising coincidence yet

>>5932113
You can use Mill's Constant to generate primes (not all of them, but every one is a prime), so maybe all the primes could be broken down into types of primes holding characteristics like this. It'd be used for cryptography it's just the computations quickly become too large:


Floor( A^3^n ) = P
>A = 1.30637788386308069...

The only two consecutive perfect power integers are 8 and 9.

>>5931250
The thing I really hate about these fake quotes is the inconsideration towards the integrity of the scientists you're attributing this drivel to.
They can't be taken seriously when retards go around claiming they once said that there are more grains of sand than atoms in a star.
And if the scientists can't be taken seriously, who can advocate for science?

By being a dick on the internet, you are holding back science.
I wish upon you things I wouldn't wish upon my worst enemies.

3^2 + 4^2 + (3*4)^2 = 13^2
580^2 + 721^2 = 921^2

>>5934256
>Pythagorean triples
>impressive

>>5934291
Not him, but you gotta admit it is just a tiny bit cool that there are sets of numbers that do that.

Not really cool enough to be posted here, but still cool.

3^2 + 4^2 + (3*4)^2 = 13^2

580^2 + 741^2 = 941^2
2N580 is a transistor
LM741 is an op-amp
ECG941 is an op-amp
What a pity they don't make a 580 op-amp.

>>5932825
Oh wow, it's fuckign nothing.

There are more words in The Bible than stars in the entire solar system.

God: 1
Science: -1

Singularity is pretty mindboggling

The Chandrasekhar Mass Limit.

>>5932573
http://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula

what the fuck.

>>5934333
lol, that cart is fundamentalist Christian levels of oversight.

>>5932057
this also blew my mind for a while, I mean seriously, take i and multiply it i times by itself, that's about 0.21

>>5934333
>TFW even bacteria are better at math than you

>>5933030
>being this dark of heart
lol, you can enjoy what you do you know?

>>5934482
I love the more digits button, I can never get enough

>>5932703
if it converges, it's finite, if not, it's infinite. duh

>>5934363
aha so our universe was designed by base 16

>>5932590
I'm not sure you are aware how big graham's number actually is. In space that large, chance is almost surely that a pattern will repeat.

>>5934504
Any hexadecimal operation that a computer does has a binary counterpart.

The university is binary and therefore discrete and therefore deterministic and therefore we are a simulation and therefore (._. )

>>5933619
NRA: shoot the motherfucker

>>5933681
Meh, I'd go to Ritz-Carlton instead then, big deal.

>>5932925
What does it have to do with randomness? For the product to be random, primes have to be picked at random in the first place.

A (Lebesgue) non-measurable subset of the unit interval exists, and it is not contained in any set of measure zero.

>>5932703
<span class="math"> \sum_{n=1}^{\infty}\frac{1}{n}=\infty[\math]
<span class="math"> \sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}< \infty [\math][/spoiler][/spoiler]

>>5932703
>\sum_{n=1}^{\infty}\frac{1}{n}=\inf ty[/math] \sum_{n=1}^{\infty}\frac{1}{n^2}=\f rac{\pi^2}{6}< \infty [/math]

>>5934587
Fuck it...
<span class="math">\sum_{n=1}^{\infty}\frac{1}{n}=\infty [/spoiler]

<span class="math">\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}<\infty [/spoiler]

>>5934598
>\sum_{n=1}^{\infty}\frac{1}{n}=\inf ty
Top kek
<span class="math"> \displaystyle\sum_{n=1}^{\infty}\frac{1}{n}=\infty [/spoiler]

>>5934609
>\sum_{n=1}^{\infty}\frac{1}{n}=\inf ty
Top lel
<span class="math"> \displaystyle\sum_{n=1}^{\infty}\frac{1}{n}=\infty [/spoiler]

>>5934584
>>5934587
>>5934598
>>5934609
>>5934613
Here's a mind-boggling fact. Nobody knows LaTeX

>>5934613
>>5934609
>>5934598
>>5934587
>>5934584

I think someone just gave up...

My most mindboggling scientific fact?

Even though we evolved from monkeys, there are still monkeys!!!!

>>5936182
>My most mindboggling scientific fact?
>Even though we evolved from monkeys, there are still monkeys!!!!
no

>>5936195
What no? There are no monkeys or we didn't evolved from them?

>>5936206

there are still monkeys, and we share a mutual ancestor with them. Monkeys dont just sit around all day trying to evolve into humans. they fill a niche very nicely

come on dude, this is pretty basic biology/

>>5936231
come on dude, this is pretty basic trawling/

The wavefunction of an object is collapsed by the concious observance of an intelligent being,

>>5933619
The Inhibitors are taking care of that. Let's just hope they don't notice us.

>>5932057
I am not a math person what is the implications of this

>>5933783
dude im so high

>>5932032
>I already explained why this is so. It's an unfortunate fact that they've hardly been researched. The majority if the research is in physical notebooks and journals tucked away.

If there cannot be research because there are no remains,
and there are no records because of a belief of their conquerors,
then what do you figure is in 'secret, hidden documents'?

If these guys were significantly wondrous, they would be part of myth.
is that all you are referring to?

>>5936273
Nothing. It's just a neat fact.

>>5932057
>i log(i) is real
>log(i) is purely imaginary

>>5932111
>How can it be random? 3 isn't randomly prime, there is a reason it is. And so is there for any other prime number. Will 3 one day randomly stop being prime? No.

You are misunderstanding what they are saying is random;
it is the distribution (the amount of numerals between) primes that does not seem to have a pattern. Not the prime value itself; obviously, everyone knows that stays constant.

>5932903
There are more cocks in Richard Dawkins than atoms in the universe.

>>5936273

There are a bunch of really neat calculations and coincident values and patterns in abstract math (and even simple arithmetic) that you could be excused for starting to think in terms of engineered universe ideas.

Some of them are pretty, some odd, some just unexpected coincidences.

It is why number theory is a separate study.

>>5934241

>>5932113
There is no polynomial that will give all the primes.

One could always define a function that would.

http://en.wikipedia.org/wiki/Kruskal's_tree_theorem

TREE(1) = 1
TREE(2) = 3
TREE(3) = kaboom

Not really mind-boggling but interesting:
arctan 1 + arctan 2 + arctan 3 = pi
x^i = cos(ln(x)) + i sin(ln(x))

>>5936494
Do you have a proof of the first statement?

LaTex is supported on this board? That's kind of awesome, it makes we wish like I remembered how to use LaTeX.

>>5936517
Sorry about the cropping, I have a terrible camera.

>>5936419
>One could always define a function that would.
Ok, go ahead, present one, whenever you are ready, we can wait.

>>5936862
You are fucking retarded.

>>5936877
On scholarly intelligence issues, I have no choice but to trust someone with your extensive vocabulary and persuasion techniques.

>>5936669
Thanks. That is cool!

>>5936904
lel

>>5932542
thats only works if god gives a list (an infinite list) of all the prime numbers, and x refers to the position on that list.

>>5934510
at least in one of the simulations I have qt3.14 gf

>>5932923
How can it be flat if Earth is round? Earth must also be flat for universe to be flat. Checkmate flat-earth theory hating faggots.

>>5934333
What the fuck is a brain power? How do you measure such a thing? I'm pretty sure scientists can't make a perfect simulation of a spider.

>>5937143
how can someone fuck that pic?

Mind this boggle: ice floats!

>>5932057
What happens if we represent i as e^i(5pi/2)? Then i^i takes a different value. It's not defined. Although it is real in every case.

>>5937229
>It's not defined.
The usual complex log function is defined such that the imaginary part is between pi and -pi.

>>5937215
You can get some joules from that, I think.

>>5934333
Some TED guy showed an updated graph. Can't find it though.

>>5934333
How on earth can you reliably compare computing power to "brain power equivalent"? How do they measure that for a bacterium, the number of mRNA molecules sent from the nucleus per hour or what?

>>5936862

>>5932502
suck my dick, bitch

>>5936419
There is no POLYNOMIAL that will give all the primes.

u monkey

>>5936231
<mfw trolled softly

>>5931349
If my logic is correct, since it would take about a quadrillion or more specs of dust to be the size of the earth, there should be a quadrillion or more atoms in a single spec of dust.

So, is that true? Are there a quadrillion or more atoms in a spec of dust?

>>5933139
>letter of Euler to Goldbach
http://eulerarchive.maa.org/correspondence/correspondents/Goldbach.html

>>5934314
See these are the good ones because it takes stupidly obvious stuff and makes it seem deep and profound, all the other stuff is just retarded and pointless disinfo that needlessly muddy the waters for those who are ignorant but willing to learn.

there is some polynomal <span class="math"> P [/spoiler] (which is not to big, it fits on a huge poster) where finding an integer zero implies that our mathematics (ZFC) is inconsistent.

you could put that thing on your wall trying arbitrary integers and suddenly destroy everything by gaining 0 as result.

>>5937659
Noam Chomsky is getting older and older... which is obvious, but he looks so tired in this picture...

>>5931968
lol stfu pseudosciencefag

>>5934118
lold

<span class="math">1\times 2 \eq 4 [\math][/spoiler]

<span class="math">1\times 3 = 5[\math][/spoiler]

<span class="math">1\times 2 = 4<span class="math">[/spoiler][/spoiler]

>>5937689
What is redshift. Do you even astronomy.

>>5931279
Well obviously it's further from the sun.

>>5937751
yeah im a archer! :-))

<span class="math">\sum_{p \in \mathbb{P}}{\frac{1}{p}} = \infty<span class="math">[/spoiler][/spoiler]

<span class="math">\sum\limits_{p \in \mathbb{P}}{\frac{1}{p}}= \infty<span class="math">[/spoiler][/spoiler]

>>5932003
>we can smell particles in that vacuum though
>particles in that vacuum

>>5937829
lol no physiciste faggot detected

>>5937228

The fact that ice floats is actually of tremendous importance to the biosphere and ocean currents

>>5937778
The more amazing thing is its proof is pretty fucking easy and Euler with no proper analytic number theory tools easily did it. It's also easy as fuck to bound it above and below with ln(ln(p)) and some other terms.
Even on its own though, it's fucking mind blowing, especially the bounds.

>>5937250
"some guy"
ray kurzweil? way to shim over the topic there...

>>5937778

>>5931924
>>5931957
http://apod.nasa.gov/apod/ap120524.html

The "Champernowne constant" contains all the sentences that have been written and will ever been written...
like all this thread and there replies.

>>5938093
Forgive me if I'm wrong, but doesn't that apply to numbers like pi too?

>>5938121
Pi is conjectured, but has not been proven, to be a normal number

>>5937778
and all was O N E with stuff yeahyeah heard it before

the notation were not using even though its so in our face these days is pathetic

>>5938128
yeah... lol, wanna know why? Because even in the depths of hardcore math, they still cling to base tens like the QM babys they are

The only bringeth of their accord will be within the use of base 18 on Schrodinger's equation.
Muh wurds & muh speaketh may or may not be headed, head them well thee heathen of simplistic accords

>>5938233
>implying 1 isnt always the answer
psshhhhhhhhhh

>>5938233
>>5938238
Need moar skilliton in this house; I'm out

Paragraphs are basically just long sentences made up of shorter sentences.

>>5934326
>>5932623
so, this is how it feels when your OC is posted

>>5937134
or if there is a function for predicting all of them, like predicting even numbers f(x)=2x

>>5937625
avagadro's number is 8 orders of magnitude larger than a quadrillion and that is around how many atoms are in a molecule and it takes much more than one molecule of something to be a visible spec

>>5936231
>Monkeys dont just sit around all day trying to evolve into humans

Oh fuck I just got an idea for an amazing movie...starring Adam Sandler baby!

>>5937680
Troll or source?

>>5932542

That is a useless function because it does not predict it.

>>5933714
>>5933681
it isnt that the moon makes seasons, it is that because the earth is on a tilt, there are eclipses, and seasons. If the earth had no tilt, there wouldnt be either. Someone should correct me if i am wrong though.

>>5937134
>>5938928

gosh ! what do u need :
>>5937580 ??? it's exactly what you want, but useless

there's no POLYNOMIAL f: N->N that will give you all the primes

u should read the thread before posting...

>>5938999
No it is a description of a function that does not yet exist, but is trivial to create according to >>5936419

>>5938948
>molecule

>>5937632
While I have learned Latin, I'm not sufficiently fluent to read this. Any English translations?

>>5938993
its real. read the top answer of this discussion:

http://mathoverflow.net/questions/32892/does-anyone-know-a-polynomial-whose-lack-of-roots-cant-be-proved

or follow the source if you want to go in detail:

http://www.math.uni-bonn.de/people/carl/preprint.pdf

protip: jump at the very last paragraph 7 (concluding remarks). if you scroll up a bit, you will find a huge equation system which has the said property. in the last paragraph, the author states that this system can be transformed into one polynomial with said properties.

my logic prof said that some very small polynomials of this kind actually fit on a poster

>>5937680
P=1 will do.

>>5939237
i forgot to mention that the polynomial has zeros, the question is are they integer

>>5938948

mol != molecule

>>5939405
In that case P=1/2-x will do.

>>5939065
I figure there would still be eclipses at the equator, though.

Because the Moon is travelling away from Earth at ~4cm/year, it will cover a smaller and smaller part of the sun.

Technically, blacks are PEOPLE TOO.

Mindblowing

>>5933837
That makes absolutely no fucking sense.

>>5939628
seems like you feel for a ruse