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2009-10-03
Knot
An active branch of topology,knot theory.Maybe it seems easy to figure out the homeomorphism between two knot with different shape,however,the theory itself is far more than this.Artin braid group and Jones Polynomial and some more basic theorems are n... -
2009-08-25
Sobolev Space - [MA]
While functional is not that attractive but the part about sobolev.
Surely,sobolev is the most crucial chapter of the whole book for its widely use in PDE.
And I loved to think so.
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The third time I tried to learn Topology and I used the undergraduate text this time.It is not of any ease to read that book for the reason that the illustrations are not revealing the essences.
I like that book called basic topology by Am... -
While I was in my first year.I learned Tensor.However,the course was not difficult but hard enough for me,a freshman who only knew how to calculate integrals.The tensor, a crucial analysis method in modern mechanics and differetial geometry.
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2009-08-23
Friedrichs inequality - [MA]
A essential inequallity that could match the greatness of Cauchy's and Holder's.
The relationship that he established between the derives and the functional itself,which figures out that the mod of Sobolev Space H has some amazing properti... -
2009-08-04
Functional & reproducing kernel - [MA]
Knowing that it is boring.Still I have to.
RKHS,which means Reproducing Kernel of Hilbert Space.
One should be aware of that Functional is a method not a branch of mathematics,it's more than a field.And today i found the signi... -
2009-08-04
Subspace of Zym's Space - [comment]
For most of time,I was sucked in Live space and ignored the others.
However,it is not an end of my former Space.







