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The peak algebra Pn is a unital subalgebra of the symmetric group algebra,
linearly spanned by sums of permutations with a common set of peaks. By exploiting
the combinatorics of sparse subsets of [...
New Results for Stepwise Tests in Orthogonal Saturated Designs
Stepwise Tests Orthogonal Saturated Designs
2015/3/20
New Results for Stepwise Tests in Orthogonal Saturated Designs.
A generalized Young inequality and some new results on fractal space
Dfractal real line number system fractional set generalized Young inequality
2011/9/21
Abstract: Starting with real line number system based on the theory of the Yang's fractional set, the generalized Young inequality is established. By using it some results on the generalized inequalit...
Some new results in extremal graph theory
extremal graph theory Combinatorics the underpinning ideas
2011/8/26
Abstract: In recent years several classical results in extremal graph theory have been improved in a uniform way and their proofs have been simplified and streamlined. These results include a new Erd\...
Some new results on cordial labeling in the context of arbitrary supersubdivision of graph
Cordial graphs Supersubdivision Arbitrary supersubdivision
2010/9/26
In this paper we discuss cordial labeling in the context of arbitrary supersubdivision of graph. We prove that the graphs obtained by arbitrary supersubdivision of path as well as star admit cordial l...
Some old and new results about rigidity of critical metric
old new results rigidity of critical metric
2011/1/18
We present a new proof of a recent ǫ regularity of G. Tian and J.Viaclovsky.Moreover, our idea also also works with a kind of Lp, p < dimM/2 assumptions on the curvature.
Generalized convexity and invexity in optimization theory: Some new results
Generalized convexity and invexity optimization theory
2010/9/15
Convex like properties, without vector space structure are intensively used in the minimax theory Since Ky Fan has proved the first minimax theorem for concave-convexlike functions, several authors ha...
In this paper we briefly survey our recent results about the Mumford goodness of several canonical metrics on the moduli spaces of Riemann surfaces. We will also prove the dual Nakano negativity of th...
New results of intersection numbers on moduli spaces of curves
New results intersection numbers moduli spaces curves
2018/4/20
We present a series of new results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witte...