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Isoperimetric inequality
Introduction the statement go isometry inequality is very simple: $latex \Omega\…
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k-hessian equation and k-curvature equation
here is the problem, how to understand k-hessian equation and k-curvature equati…
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Note on Vinogradov main theorem
1.Introduction Question: Vinogradov mean value Let $latex k,s\in \mathbb …
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Linear to Multi-linear
The technique that transform a problem which is in a linear setting to a multili…
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How to compute the Gromov-Hausdorff distance between spheres $latex S_n$ and $latex S_m$?
There is the question, because when we consider the Gromov-Hausdorff distance, w…
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Regularity of k-curvature equation
this is a note after reading the article”” of Cafferalli. in his art…
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Kakeya conjecture (Tomas Wolff 1995)
There is a main obstacle to improve the kakeya conjecture,remain in dimension 3,…
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Julia set
There is a major open problem: Is there a polynomial $latex f(z)$ such that the …
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Covering a non-closed interval by disjoint closed intervals
this note will talk about the Ostrowski representation and approximation by cont…
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Heat flow and the zero of polynomial-a approach to Riemann Hypesis
There is a main obstacle to improve the kakeya conjecture,remain in dimension 3,…