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In this paper, we prove that the \(L^p(\mathbb {R}^d)\) norm of the maximal truncated Riesz transform in terms of the \(L^p(\mathbb {R}^d)\) norm of Riesz transform is dimension-free for any \(2\le p<...
Let T=(V,A) be a tournament with a nonnegative integral weight w(e) on each arc e. A subset F of arcs is called a feedback arc set (FAS) if T\F contains no cycles (directed). A collection F of FASs (w...
There are many important practical optimization problems whose feasible regions are not known to be nonempty or not, and optimizers of the objective function with the least constraint violation prefer...
对α阶(1<α<2)右侧Caputo分数阶导数引入新变量以降低函数阶数,采用L2-1插值方法,得到了高阶插值格式。为了进一步改善L2-1方法在区间[tN-1,b]上由L1插值带来的非一致O(Δt4-α)阶精度,增加约束条件,使整体区间均利用L2插值得到一致的O(Δt4-α)精度的高阶插值格式,并分别证明了二者的截断误差。
考虑如下的振荡积分算子: 中函数f为定义在Rn上的Schwartz函数,并且满足m,k>0.本文给出算子Tm,k,n从Lp(Rn)(1 ≤ p < ∞)到Lq(Rn)有界的一个充分必要条件.此外,我们还证明了算子Tm,k,n把L1(Rn)映到l0(Rn).
关于Györy-Sárközy-Stewart猜想     最大素因子  Gyö    ry-Sá  rkö    zy-Stewart猜想       2018/2/6
本文在一定条件下证明了, 当$a,~b,~c$ 均为正整数, 并且$a\geq b>c$ 时, 乘积$(ab+1)(ac+1)(bc+1)$ 的最大素因子大于$k\log\log a$,其中$k$ 为一个正常数. 特别地, 当$c
We present a new method for the solution of the unsteady incompressible Navier-Stokes equations. Our goal is to achieve a robust and scalable methodology for two and three dimensional incompressible f...
It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent space to the ith marked point) and a n...
We give another proof of Ekedahl, Lando, Shapiro, and Vainshtein's remarkable formula expressing Hurwitz numbers (counting covers of P1 with speci ed simple branch points, and speci ed branching over...
The goal of this paper is to apply the techniques developed by the first author in [3] to verify the integral Novikov conjecture for groups with finite asymptotic dimension as defi...
给中学生讲好微积分基本知识     中学生  微积分       2014/12/22
给中学生讲好微积分基本知识。
New formulas for the integration of the k-th elementary symmetric functions of the Shouten tensor are derived and applied to deduce some Minkowski type inequalities.
The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map for gener...
用活动标架法研究拟常全纯截面曲率空间中的全实极小子流形, 得到了关于第二基本形式模长‖B‖的Smions型积分不等式。
Consider the vector field x′ = −yG(x, y), y′ = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two o...

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