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It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
Based on the newly constructed input-output model that distinguishes firm size categories and the structural decomposition analysis method, this study quantitatively calculates the employment effects ...
In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
We get a priori estimates for the fifth-order modified KdV equations in Besov spaces with low regularity which cover the full subcritical range. These estimates are obtained from the power series expa...
In order to understand and identify key issues of food waste and find potential solutions for food waste minimization in food service business, both a questionnaire and a qualitative study were conduc...
Let x be an algebraic number. Lehmer's problem predicts that the product of the degree of x and the Weil height of x is bounded by an absolute constant. The basic idea to tackle this problem is to stu...
Let $(g_n)_{n\geq 1}$ be a sequence of independent and identically distributed random matrices of type $d \times d $ with real coefficients. Consider the products $G_n : = g_n \ldots g_1$ and the rand...
Trust between parties should drive contract design: if parties were suspicious about each others' reaction to unplanned events, they might agree to pay higher costs of negotiation ex ante to complete ...
Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,...
旅游大数据主要包含游客到达量、用户生成数据(如酒店评论,搜索引擎数据等),旅游大数据为旅游研究提供了丰富多样的研究场景。信息技术的发展使得旅游大数据的可用性逐步提高。本研究以旅游大数据为驱动,结合机器学习、自然语言处理等方法,探究多源异构数据对于旅游需求的影响关系,探索疫情前后消费者满意度的变化,研究结论为旅游从业者提供新的管理启示,为旅游业的决策提供理论支撑。
Discuss [Bha, §2.3-2.4]. See [Dri20, §1.3] for the notion of cones and quasi-ideals. Note that some of the remarks (e.g. Remark 2.2.15) [Bha, §2.2] may not have been covered in Lecture 1. Explain them...
In this talk, we will revisit Grothendieck's theory of Grassmannians and flag schemes and the theory of Schur and Weyl module functors studied in $GL_n$-representation theory from theperspective of de...
In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the f...
In this talk, we consider a distributed interval optimization problem (DIOP) with uncertainties, whose global function is formed by local convex interval functions. In seeking Pareto solutions for dis...
This paper designs a distributed stochastic annealing algorithm for non-convex cooperative aggregative games, whose agents' cost functions not only depend on agents' own decision variables but also re...

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