Keep an eye on Erik and his type

M20F · May 8, 2016

http://www.bbc.com/news/world-us-canada-36240523

Mooneymite · May 8, 2016

I'm with the lady.

Anyone who can do that kind of math is highly suspicious! :huh:

**aviatoreb** · May 8, 2016

I just have one thing to say about that:

Let (M,g) be a Riemannian manifold and ƒ: M^m → Rⁿ a short C^∞-embedding (or immersion) into Euclidean space Rⁿ, where n ≥ m+1. Then for arbitrary ε > 0 there is an embedding (or immersion) ƒ_ε: M^m → Rⁿ which is

in class C¹,
isometric: for any two vectors v,w ∈ T_x(M) in the tangent space at x ∈ M,

$g(v,w)=\langle df_\epsilon(v),df_\epsilon(w)\rangle$ ,
ε-close to ƒ:

$| f(x) - f_\epsilon (x) | < \epsilon ~\forall~ x\in M$ .

tony · May 8, 2016

I used to know what that meant

M20F · May 8, 2016

1 hour ago, aviatoreb said:

I just have one thing to say about that:

Let (M,g) be a Riemannian manifold and ƒ: M^m → Rⁿ a short C^∞-embedding (or immersion) into Euclidean space Rⁿ, where n ≥ m+1. Then for arbitrary ε > 0 there is an embedding (or immersion) ƒ_ε: M^m → Rⁿ which is

in class C¹,

isometric: for any two vectors v,w ∈ T_x(M) in the tangent space at x ∈ M,

$g(v,w)=\langle df_\epsilon(v),df_\epsilon(w)\rangle$ ,

ε-close to ƒ:

$| f(x) - f_\epsilon (x) | < \epsilon ~\forall~ x\in M$ .

I am calling Homeland security

**aviatoreb** · May 8, 2016

2 minutes ago, M20F said:

I am calling Homeland security

You tell them down in homeland the following:

Let the following be defined for complex s with real part greater than 1 by the absolutely convergent infinite series

$\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s} = \frac{1}{1^s} + \frac{1}{2^s} + \frac{1}{3^s} + \cdots.$

and also tell them,

it can also be defined by the integral

$\zeta(s) = \frac{1}{\Gamma(s)} \int_{0}^{\infty} \frac{x ^ {s-1}}{e ^ x - 1} \mathrm{d}x$

but some say,

$\sum_{n=1}^\infty\frac{1}{n^s} = \prod_{p \text{ prime}} \frac{1}{1-p^{-s}},$

**DonMuncy** · May 8, 2016

Come on guys. You are making me feel stupid. (But I hope it is just ignorance)

sleepingsquirrel · May 9, 2016

Some people should be made to walk to their next destination!

**laytonl** · May 9, 2016

I did this stuff many years ago. Now it just looks like Greek. Oh wait, it is Greek!

BSEE, Auburn '77

lee

**LANCECASPER** · May 9, 2016

8 hours ago, M20F said:

http://www.bbc.com/news/world-us-canada-36240523

The lady is the dangerous one

**aviatoreb** · May 9, 2016

12 minutes ago, LANCECASPER said:

The lady is the dangerous one

No kidding - like everywhere I need to be sitting still for a an hour or more - like an airline flight - I always bring blank paper folded in my back pocket, and I take it out and start doodling mathematics about problems I am currently working on. Only a complete xenophobic selfish weirdo would assume it has something to do with them.

**aviatoreb** · May 9, 2016

1 hour ago, laytonl said:

I did this stuff many years ago. Now it just looks like Greek. Oh wait, it is Greek!

BSEE, Auburn '77

lee

For some reason the Greek alphabet is used a lot in mathematics.

In the above, I stated (from wiki) two classic big named theorems or concepts - each which has impacted my own work. These are some massive and named big time theorems. 1st is the Nash Embedding theorem - named after the very same John Nash whom the hollywood movie "A beautiful mind" was made. Same guy who won a Nobel prize in economics for his work practically inventing the field of game theory. And if that were all he would be an utter giant. But the Nash embedding theory - if that were all - he would be an utter giant. But he did more too. All by the age of 30 or so. Thereafter he suffered from mental illness for many years until he got much better in his 70s. He died tragically about 2 years ago when he and his wife were coming home from being awarded the Abel prize in Sweden. On his taxi ride home from the airport, Newark, back to Princeton, the taxi had a car crash and they both died. Too tragic to be a Hollywood script.

The other is the "Zeta function" which impacts in MANY fields in mathematics and physics, written in several interesting and surprisingly different forms. These are not part of typical undergraduate mathematics education, as a lot of mathematics aren't. There is lots more going on after calculus. And a lot of new unsolved problems for low-life anti-establishment homeland security threatening folk like me to work on and some have major impacts in all of our lives (ever wonder how page rank the google search engine mathematics works? - read the $25B eigenvector: https://www.rose-hulman.edu/~bryan/googleFinalVersionFixed.pdf ).

Our short-hand notations used in mathematics are as much specialized professional language even more so than legal lawyerly mumbo jumbo. We should put lawyers on homeland security watch list. I am all day long making scribbles on little bits of paper - and somehow I found a job where they pay me to do that! believe me - no one is threatened by a contour integral. Or an isometric embedding. Or a root of the zeta function. Or an eigenvector of a million dimensional eigenvector, or a closed and perfect uncountable set.

Edited May 9, 2016 by aviatoreb

FlyDave · May 9, 2016

I think we need to build a wall around people like Erik and make THEM pay for it!

steingar · May 9, 2016

Economists doing math is very suspicious. I always thought they read tea leaves.

Spenscot · May 9, 2016

I feel smart decoding TAFs and METARs.....

Bravoman · May 10, 2016

10 hours ago, steingar said:

Economists doing math is very suspicious. I always thought they read tea leaves.

I was an economics and math major in college. Economics is an interesting discipline because although it is a social science it is extremely math based. At U of Florida we had to have differential equations, advanced calculus and stats as a prerequisite to the upper level courses like econometrics, game theory, etc

steingar · May 10, 2016

9 hours ago, Bravoman said:

I was an economics and math major in college. Economics is an interesting discipline because although it is a social science it is extremely math based. At U of Florida we had to have differential equations, advanced calculus and stats as a prerequisite to the upper level courses like econometrics, game theory, etc

I was being somewhat facetious. I don't think there's a smiley for that.

Sign In

Keep an eye on Erik and his type

Recommended Posts

M20F

Mooneymite

aviatoreb

tony

M20F

aviatoreb

DonMuncy

sleepingsquirrel

laytonl

LANCECASPER

aviatoreb

aviatoreb

FlyDave

steingar

Spenscot

Bravoman

steingar

Join the conversation

Members Online

Browse

Activity

Important Information