[AntonioLao]

Originally Posted by GUILLE Are there developments done on the relationship between calculus and trigonometry?

The branch of mathematics called functional analysis.

Originally Posted by GUILLE Also, where are langragians and hamiltonians in the list of math branches?

Lagrangian and Hamiltonian are energy operators within analytical mechanics. The branch of math would still be under functional analysis within the subdomain of functional transformations.

[Guille]

Functional Analysis, I see. I was just asking because it is one more thing I must learn to proof goldbach. Getting together some functional analysis and eliptic functions, lattices on the complex plane and taylor series, will solve it all up. It's strange: I can see the map, i.e. the plan, but although it reveals all from start to end, it doesn't reveal anything clearlly, so one must investigate.

[AntonioLao]

Guille,

The other option to look into is category theory. see it at http://en.wikipedia.org/wiki/Category_theory

[Guille]

Originally Posted by AntonioLao Guille, The other option to look into is category theory. see it at http://en.wikipedia.org/wiki/Category_theory

Thanks for the link, I don't see the direct relationship to goldbach though. But I will learn it, it will be good and usefull in the near future.

What is the word supposed to be in the ______ part of your singnature? Is it electricity?

[AntonioLao]

Originally Posted by GUILLE What is the word supposed to be in the ______ part of your singnature?

I'll send you the code by PM. Still you need to decipher it.

[Guille]

Originally Posted by AntonioLao I'll send you the code by PM. Still you need to decipher it.

I like codes. By the way, we've finsihed the theme of matrices and transformations (with an investigation that each of us had to discover what a shear is...it's the best part of math, when we investigate) and started statistics. But it's way too simple, so I finish the classwork fast, do the homework in class, and in home read the further maths.

[AntonioLao]

I am confident that you can decipher the code. Just hoping the answer does not appear disappointing.

[Guille]

Originally Posted by AntonioLao I am confident that you can decipher the code. Just hoping the answer does not appear disappointing.

I'm always dissapointed with the answers if I've worked to obtain them, I never see them sufficiently profitable for my mind, therefore, I inmideatelly go into another problem.

[AntonioLao]

disappointment is probably the cause of John Nash having a nervous breakdown during his peak of intellectual achievement. It causes a short circuit in the brain or electrical discharge thru the shortest electrical path but lightning does not follow a straight line.

[Guille]

Originally Posted by AntonioLao disappointment is probably the cause of John Nash having a nervous breakdown during his peak of intellectual achievement. It causes a short circuit in the brain or electrical discharge thru the shortest electrical path but lightning does not follow a straight line.

What does the fact that lightning doesn't follow straight line (it follows geodesic ones) have to do with what happens in the brain? Can we explain thought throughout this?

And, even more impotant, but please answer this last question in my post "What is the Difference?" in the great thinkers forum: Could it be that the greater or more profound or transcendental a thought, or a series of thoughts is, has to do with the straightness/curvature of it's electric path?