Found the answer here:
http://math.stackexchange.com/questions/68614/why-do-these-inequalities-in-metric-spaces-hold
Wow that was just...
I would have NEVER guessed it right.
Uh they are just all regular texts. Thanks for your help, I suspected it meaning neighborhood too, you see, neighborhood is defined by a point and a positive number. Here it is just a metric space and a positive number, what kind of things can be defined out of this?
And this class doesn't...
Homework Statement
Show for any metric space (S,d) and e> 0 that N(e, S) <= D(e, S) <= N(e/2, S)
Homework Equations
none
The Attempt at a Solution
Can somebody please tell me what does N(e,S) or D(e,S) even mean so I can at least know what I am asked to prove?
I dig...
Let's not think about how to integrate, just think about the easy case, differentiation, you still wouldn't get nice results at all.
http://the-genius-group-from-uc-berkeley.googlegroups.com/web/Tetration%20Differentiation.pdf?gsc=JivL3wsAAABzdSJOyPIJbvk4ERCPyg5o
Homework Statement
Prove that:
The union of a set U and the set of its limit points is the closure of U.
Homework Equations
Definitions:
Closure: The closure of U is the smallest closed set that contains U.
Limit points: if z is a limit point in U, then any open circle around...
I am currently about half way through the process of getting a physics degree (emphasized in cosmology) and a applied math degree (emphasized in quantum mechanics).
Now my parents think that these two majors are useless in getting jobs, and wants me to study something that will help me get a...