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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ambartzumian combinatorial formula and its applications
Ambartzumian 组合公式 有限线段集
2023/11/6
Consider a finite set of segments on a plane with endpoints in the general position. In [1] Sylvester posted a problem of finding the measure of the set of lines intersecting all of this segments. In ...
Maximizing Expected Utility for Stochastic Combinatorial Optimization Problems
ExpectedStochastic CombinatorialProblems
2012/12/4
We study the stochastic versions of a broad class of combinatorial problems where the weights of the elements in the input dataset are uncertain. The class of problems that we study includes shortest ...
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
bigrading the combinatorial Hopf algebra rooted trees
2010/11/2
The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf algebra of undecorat...