Archived threads in /sci/ - Science & Math - 439. page

>>8958712
http://4chan-science.wikia.com/wiki/Mathematics#Stochastic_Calculus

>>8958790
>http://4chan-science.wikia.com/wiki/Mathematics#Stochastic_Calculus
Oh cock the book on diffusion is by my favorite author David Williams. Gonna cop that one.

Math is harder for people because it is more abstract. Although math is unbelievably good at modeling the real world, unlike other subjects, it is not tangible in the sense that it maps directly onto any one specific real experience. For example, you can observe an enormous range of phenomena which can be modeled effectively by the natural numbers, but the structure of the natural numbers themselves cannot be characterized completely by any one of them. Therefore, because we can't rely on everyday empirical intuition for mathematical reasoning, the ideas that we create in math have to be independent and rigorously defined, which makes them much harder to internalize.

>>8958665
>but it's still extremely difficult.
It really depends on your level and on what you want to solve.

Shit teachers all the way up to high school.

Assertion: Anyone deeply passionate about math will want to constantly expand and explore the ideas further down the rabbit hole.

You can't dedicate your life to exploring math if you're teaching it, therefore those who do aren't teachers.

Therefore teachers aren't passionate about math.
I think there's also a systematic problem in general. Perhaps we should introduce formal logic at 1-st or 2-nd grade level, and make sure to provide a simple motivation for every definition. like, "Why do we need Polynomials?" "Polynomials are well-understood functions that you can use to approximate any other function that matters very well.

>>8958611
*auto correct

>>8958611
No (OP) is just autistic

>>8958611
why does he sit like that?

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I could also use anti-engineer and anti-normie

>>8958448
What exactly do you think the sun is in danger of?

we could shoot nukes at the sun every day for a gorillion years and nothing will happen

>>8958501
Utsuho

>>8958388
sci-hub dot cc
sci-hub dot io

>>8958396
thx mate

>>8958388
get funded for a phd

>F^2 = not fag
>Lets say he can go on as long as he wants.
>So the question is, what state is F^F equals to ?

You're implying there is some strict order on a set of values that, in any case, includes all natural numbers as well as F, and that F comes at some point in this order (1 < 2 < ... < F).

Unless you further specify this structure, we'll not be able to makes sense of F^F.

The first approach or framework that comes to mind:
If you take a category of sets, you can discard all isomorphisms (for sets, those are bijections) and obtain a class of cardinals. In this category, basic limits induce cardinal alrithmetic.
So for example, take the sets A={7,8} and B={3,4,5}. Then |A| = 2 and |B|=3. The product AxB is isomorphic to the set
P = {<7,3>, <7,4>, <7,5>, <8,2>, <8,4>, <8,5>}
with |P| = 6
That is to say
|AxB| = |A| x |B|.
The exponentiation is induced by considering function spaces.
E.g. B->A, internally writte A^B, has elements such as
f = {<3,7>, <4,8>, <5,7>}
or
g = {<3,8>, <4,8>, <5,7>}
If you do the exercise, you find
|A^B| = |A|^|B|.

What you want to do is take a category of finite sets (representing the class of natural numbers) plus some F-object (where some notion of power F |-> F^2 exists) and have this be, in the bast case, "Cartesian closed", so that you can make sense of F^F, and in a way that passing from the category to a sort of cardinal arithmetic makes sense.

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>>8958257
Btw. my line of thinking is to proceed like e.g. algebraic geometry. You start out with something you understand (powers of functions here, algebriac varieties there), see that this doesn't suffice to do all the things you want to do (why can't we look at F^F, why can't we look at spaces with this and that nice feature), and then just force a structure that's large enough to have those features and also have the old one be embedded within it.
This approach seems to lie so close in your case, because exponentiation is a natural universal process that can be expressed in this language.

Whether you speak of turning gay and back here, or opening and closing yogurt cans is mere semantics. Just like the same equations may apply to particles in a gas and the traffic jam.

>>8958257
Okay fair enough, you did a good job.

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There are many subfields; do some research and see which ones appeal to you.

Only study it if it appeals to you.

>>8958178
Probably the best idea is to focus on something pragmatic like polymers or metallurgy rather than nanotechnology or something

>>8958173
The interesting thing is that in Materials Sci/Eng

On Graduate Level (PhD, MSc & MEng)
is very prestigious, hard, high IQ & very well paid.

While on Undergrad Level (BSc, BEng)
is generally mocked to be easy.

>>8958129
>that chubby plain pajeet is a goddess
you're a faggot

>>8958155
perhaps his webm was unrelated

>>8958155
>>8958273

>implying that WHR isn't what dreams are made of

>>8958110
Destructive interference

>>8957994
Disgustingly oversimplified: because maximum information is carried by a constant density per area, not volume.

>>8958076
So while the information is stored on the surface between falling in and being dispersed as radiation, is the object represented in any particular space/time?

Bump. I'd love a rundown by someone who's in on this stuff.

>>8957987
Living is a carcinogen, and I would be more concerned as to the carcinogenic properties of 4chan over your PC.

>>8957987
Yes OP your post just gave me cancer.

>>8957987
Your phone increases your risk of cancer, so does getting an xray, going outside, flying, breathing oxygen, drinking alcohol, etc. Cellular mechanisms are sensitive machines and over time outside influences will break them down. Radiation is the least of your concerns OP, animals on earth have been getting irradiated for millions of years