MFRG-DPIR FOR THE DISORDERED TRANSVERSE ISING MODEL

A new approximate scheme which is combined by the mean-field renormalization group theory (MFRG) with the discretized path-integral renormalization (DPIR) is employed in the study of the disordered tranverse Ising model (TIM). The critical properties of random-bonds Ising systems on a d-dimensional lattice are calculated with this new approximate scheme.     

一个算术函数的误差项估计

设ψ(n)是Dedekind函数,∑n≤x=nψ(n)=αx E(x),其中α是常数,E(x)是误差项.主要目的是利用经典的复积分理论及解析方法研究了E(x)的平方积分均值,得到了一个较为精确的估计式.     

计算学科中的实验体系

本文讨论了计算学科中的实验体系,阐述了建立实验体系的框架,进入实验规划和实施方案和内容,讨论了实验改革和创新的思路,以及建立软件实验、虚拟实验的探索和建立移动实验室的构想。     

博弈论在银行监管中的应用

金融系统的稳定与繁荣是国家经济兴旺发达的前提和基础，对银行等金融机构的监管是保障金融系统稳定的重要手段．本文运用博弈理论建立了银行监管问题的非合作模型．通过对该模型混合策略分析，从理论上建立了预防银行违规的思路．并阐述了提高监管政策的科学性，改进监管技术手段，加强信息披露制度对我国银行体制建设的意义．     

Poincaré-Chetaev方程的守恒定理及其逆定理(英文)

提出动力学系统守恒定律构成的一般途径 .根据微分方程积分因子的定义研究守恒量存在的必要条件 .建立了Poincar啨 -Chetaev方程的守恒定理及其逆定理 ,并举例说明结果的应用     

Reliability of Reinforced Concrete Buildings During Constructio

The safety analysis of reinforced concrete buildings during construction should be based on the comprehensive understanding of loads, load effects, structural resistance, and available safety index of the structure. This paper analyzes the characteristics and probabilistic models of resistance, loads, and load effects. A method was developed to calculate the probability of failure based on Monte Carlo simulation and models proposed in previous articles. Construction examples were used to analyze the influence of live load on the probability of failure. The results show that when the live load increases, the maximum probability of failure increases with acceleration. The results suggest that the construction live load should be carefully addressed during construction.     

减少化验次数的一个优化模型

依据数学理论证明在一定条件下，可以减少化验次数；并给出了选择方法；建立了一个减少化验次数的优化模型。     

西安城市周边地带的界定

在定义城市周边地带的基础上，分析了城市周边地带城市化特征．根据西安市城市空间结构现状，利用专家打分法确定了西安市各区县隐性城市化调整系数，提出计算其城市化率的公式．根据计算结果初步界定了西安城市周边地带范围．