- Why is a² + b² ≥ 2ab ?
- A remark on the divergence theorem
- The Cauchy-Schwarz inequality and the Lagrange identity
- On the existence of a metric compatible with a given connection
- A curious identity on the median triangle
- 27 lines on a smooth cubic surface
- Weighted Hsiung-Minkowski formulas and rigidity of umbilic hypersurfaces
- The discrete Gauss-Bonnet theorem
- Why a vector field rotates about its curl?
- A functional inequality on the boundary of static manifolds
tong cheung yu on On the existence of a metric c… Marco Barchiesi on Simple curves with a positive… tong cheung yu on Toric perspective 1 lamwk on Why is a² + b² ≥ 2ab ? Maurice OReilly on Spherical cosine law KKK on Sobolev and Isoperimetric… Anonymous on Sobolev and Isoperimetric… tong cheung yu on On the existence of a metric c… Anonymous on Closed subspaces of a reflexiv… KKK on A curious identity on the medi…
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- Mean value properties for harmonic functions on Riemannian manifolds
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- Mathematics behind JPEG
- Understanding Lagrange multipliers (1)
- The Brunn-Minkowski inequality and the isoperimetric inequality
- Why does a mirror reverse left and right, but not top and bottom?
Author Archives: kingleunglee
a note of Professor Simon Donaldson talk- The Ding functional, Berndtsson convexity and moment maps.
It is a note of Professor Simon Donaldson talk- The Ding functional, Berndtsson convexity and moment maps. The notes is on the link above.
I am trying to make a proof of Fundamental Theorem of Algebra which is seem to be understandable by secondary school student. Although I use some topological argument, but I think I could cheat them except the point I have … Continue reading
Let be smooth. Under what condition, f can be sepearate to two part, that is, , where be smooth such that g depends only in and h is holomorphic. (I do not know if it is useful or not:. There … Continue reading
By Zorn leung Does open mapping theorem holds in for n>1?
Let be a meromorphic function(note, i.e. ) . Ask: for all r? Remark, it can be shown that if r is small enough, then the statement is true, basically by argument principle implies will surrounding 1, hence it has … Continue reading