Question

http://arxiv.org/ftp/math/papers/0309/0309103.pdf
WHAT?!!!!!

Answer 1

what?

Answer 2

woah....that is HARD.

Answer 3

you got some really crazy teachers

Answer 4

btw kc are you familiar with integrals?

Answer 5

@abdela25 I just found this "proof" of Goldbach's conjecture and it's not from my teacher

Answer 6

∑

Answer 7

@shamil98 what do you mean by "familiar"?

Answer 8

that is a summation sign, charlotte.

Answer 9

as in have you learned them?

Answer 10

oh well that is pretty hard
did you just find them from research or what

Answer 11

@shamil98 not exactly VERY good at them but may be able to solve some problems...

Answer 12

@abdela25 I just googled "attempts to prove goldbach's conjecture"

Answer 13

You've tried calculus 3 stuff like me, i'm wondering have you completed calculus 1 and 2?

Answer 14

@shamil98 I just learn calculus by myself (and my dad), so I have no idea how the syllabus is divided into 1 2 and 3

Answer 15

Ah, similar to my situation, i've learned what i know by myself too :)

Answer 16

@shamil98 cool :)

Answer 17

Calc 1 - Limits, Derivatives/Applications/ , Definite and Indefnite Integrals.
Calc 2 - Techniques of integration, integration applications, and series and solid revolutions and other stuff, finding area of stuff with integrals
Calc 3 - 3-D stuff, partial derivatives , parametric/vector/polar functions, second-order equations, double/triple integrals ,
from the top of my head , there's more topics, but which ones have you done so far?

Answer 18

calc 3 also has directional derivatives as well, like i said there's a lot more topics i'm missing..

Answer 19

I highly suggest, if you haven't already, taking a side track to learn some basic stuff in linear algebra like how to find eigenvalues and do transformations on quadratic forms.

Answer 20

I would say I've only done Calc 1 but I'm not sure

Answer 21

You can turn something like: \[\int\limits_{}^{}e^xsinxdx\]
which involves doing integration by parts twice into a linear algebra problem where all you have to do is simply invert a 2x2 matrix.

Answer 22

\[\int e^x\sin xdx=-\int e^x d(\cos x)=-e^x\cos x+\int\cos xd(e^x)=\cdots\]
Don't think matrices are needed here?

Answer 23

formula for integration by parts is:
\[\int\limits_{}^{} udv = uv - \int\limits_{}^{}vdu\]

let u = e^x
dv= sin x dx
v = -cos x
du = e^x
or something like that..

Answer 24

this is the orginal Goldbach s conjecture

Every even integer greater than 2 can be expressed as the sum of two primes

“Dass … ein jeder numerus par eine summa duorum primorum sey, halte ich für ein ganz gewisses theorema, ungeachtet ich dasselbe nicht demonstriren kann.” ("every even integer is a sum of two primes. I regard this as a completely certain theorem, although I cannot prove it.")[7][8]

hope you like it too

Answer 25

thx and bye i have to sleep :)

Answer 26

gnite kc

Answer 27

and this is the second right

Every integer greater than 5 can be written as the sum of three primes.
Euler replied in a letter dated 30 June 1742, and reminded Goldbach of an earlier conversation they had ("…so Ew vormals mit mir communicirt haben…"), in which Goldbach remarked his original (and not marginal) conjecture followed from the following statement