711 research outputs found
Connection between closeness of classical orbits and the factorization of radial Schr\"{o}dinger equation
It was shown that the Runge-Lenz vector for a hydrogen atom is equivalent to
the raising and lowering operators derived from the factorization of radial
Schr\"{o}dinger equation. Similar situation exists for an isotropic harmonic
oscillator. It seems that there may exist intimate relation between the
closeness of classical orbits and the factorization of radial Schr\"{o}dinger
equation. Some discussion was made about the factorization of a 1D
Schr\"{o}dinger equation.Comment: 14 pages, no figure
âDouble water exclusionâ: a hypothesis refining the O-ring theory for the hot spots at protein interfaces
Motivation: The O-ring theory reveals that the binding hot spot at a protein interface is surrounded by a ring of residues that are energetically less important than the residues in the hot spot. As this ring of residues is served to occlude water molecules from the hot spot, the O-ring theory is also called âwater exclusionâ hypothesis. We propose a âdouble water exclusionâ hypothesis to refine the O-ring theory by assuming the hot spot itself is water-free. To computationally model a water-free hot spot, we use a biclique pattern that is defined as two maximal groups of residues from two chains in a protein complex holding the property that every residue contacts with all residues in the other group
BEARING CAPACITY OF T BEAM UNDER DIFFERENT PRESTRESS LEVELS: FULL-SCALE EXPERIMENT AND FEM ANALYSIS
Insufficient prestress will cause cracks in the T beam, which will influence its stiffness and bearing capacity. This paper is devoted to studying the influence of prestress levels on the bearing capacity of T beam, and then judging its working state. A full-scale model experiment is carried out on the 13 meters prestressed concrete T beam. At the same time, a nonlinear finite element model is established and verified. The experimental results show the numerical simulation results are in good agreement with the experimental results. Finally, the finite element model is used to make a simulation of the bearing capacity of T beams under different prestress levels. The mathematical relationship between prestress levels and bearing capacity is obtained based on the results of the finite element model. The relationships between the mid-span deflection and load of the experimental beam are basically the same under different prestress levels, both including three stages: elastic stage, crack development stage and failure stage. With the increase of the prestress levels, the stiffness of the experimental beam before cracking is improved significantly
Truthful Generalized Linear Models
In this paper we study estimating Generalized Linear Models (GLMs) in the
case where the agents (individuals) are strategic or self-interested and they
concern about their privacy when reporting data. Compared with the classical
setting, here we aim to design mechanisms that can both incentivize most agents
to truthfully report their data and preserve the privacy of individuals'
reports, while their outputs should also close to the underlying parameter. In
the first part of the paper, we consider the case where the covariates are
sub-Gaussian and the responses are heavy-tailed where they only have the finite
fourth moments. First, motivated by the stationary condition of the maximizer
of the likelihood function, we derive a novel private and closed form
estimator. Based on the estimator, we propose a mechanism which has the
following properties via some appropriate design of the computation and payment
scheme for several canonical models such as linear regression, logistic
regression and Poisson regression: (1) the mechanism is -jointly
differentially private (with probability at least ); (2) it is an
-approximate Bayes Nash equilibrium for a -fraction
of agents to truthfully report their data, where is the number of agents;
(3) the output could achieve an error of to the underlying parameter;
(4) it is individually rational for a fraction of agents in the
mechanism ; (5) the payment budget required from the analyst to run the
mechanism is . In the second part, we consider the linear regression
model under more general setting where both covariates and responses are
heavy-tailed and only have finite fourth moments. By using an -norm
shrinkage operator, we propose a private estimator and payment scheme which
have similar properties as in the sub-Gaussian case.Comment: To appear in The 18th Conference on Web and Internet Economics (WINE
2022
Spatio-temporal Patterns and Driving Forces of Urban Land Expansion in China during the Economic Reform Era
O Simbolismo em Portugal e na China: AproximaçÔes entre Camilo Pessanha e Dai Wangshu
Esta dissertação tem como objetivo estudar as semelhanças entre o simbolismo ocidental e a poesia clĂĄssica chinesa atravĂ©s do estudo dos poemas de Camilo Pessanha e Dai Wangshu. Para tal, a presente dissertação foi estruturada em trĂȘs capĂtulos. O primeiro, foca-se na anĂĄlise de quatro artigos sobre a cultura e a literatura chinesas da autoria de Pessanha, identificando as caracterĂsticas da poesia clĂĄssica chinesa e apresentando em termos gerais o estilo prĂłprio da corrente do Simbolismo. O segundo, incide sobre a poĂ©tica especĂfica de ambos os poetas, propondo-se uma anĂĄlise das caracterĂsticas de cada fase de Dai Wangshu. No terceiro capĂtulo, procede-se a uma anĂĄlise da escrita simbolista nos dois poetas, elaborando-se um quadro das semelhanças entre os poemas de Camilo Pessanha e a poesia clĂĄssica chinesa, e entre a revolucionĂĄria carreira de Dai Wangshu e todas as transformaçÔes que o poeta acompanhou.This dissertation aims to study the similarities between Western symbolism and classical Chinese poetry through the study of the poems of Camilo Pessanha and Dai Wangshu. For this, this dissertation was structured in three chapters. The first focuses on the analysis of four articles about Chinese culture and literature written by Pessanha, identifying the characteristics of classical Chinese poetry and presenting in general terms the style of symbolism. The second, focuses on the specific poetics of both poets, proposing an analysis of the characteristics of each phase of Dai Wangshu. In the third chapter, an analysis of the symbolist writing in the two poetsâ proceeds, elaborating a picture of the similarities between the poems of Camilo Pessanha and classical Chinese poetry, and between the revolutionary career of Dai Wangshu and all the transformations that accompanied the poet
High functional coherence in k-partite protein cliques of protein interaction networks
We introduce a new topological concept called k-partite protein cliques to study protein interaction (PPI) networks. In particular, we examine functional coherence of proteins in k-partite protein cliques. A k-partite protein clique is a k-partite maximal clique comprising two or more nonoverlapping protein subsets between any two of which full interactions are exhibited. In the detection of PPI’s k-partite maximal cliques, we propose to transform PPI networks into induced K-partite graphs with proteins as vertices where edges only exist among the graph’s partites. Then, we present a k-partite maximal clique mining (MaCMik) algorithm to enumerate k-partite maximal cliques from K-partite graphs. Our MaCMik algorithm is applied to a yeast PPI network. We observe that there does exist interesting and unusually high functional coherence in k-partite protein cliques—most proteins in k-partite protein cliques, especially those in the same partites, share the same functions. Therefore, the idea of k-partite protein cliques suggests a novel approach to characterizing PPI networks, and may help function prediction for unknown proteins.<br /
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