Construction Theory of Function on Local Fields

We establish the construction theory of function based upon a local field Kp as underlying space. By virture of the concept of pseudo-differential operator, we introduce ＂fractal calculus＂ （or, p-type calculus, or, Gibbs-Butzer calculus）. Then, show the Jackson direct approximation theorems, Bermstein inverse approximation theorems and the equivalent approximation theorems for compact group D（C Kp） and locally compact group Kp^＋-（= Kp）, so that the foundation of construction theory of function on local fields is established. Moreover, the Jackson type, Bernstein type, and equivalent approximation theorems on the HOlder-type space C^σ（Kp）, σ 〉0, are proved; then the equivalent approximation theorem on Sobolev-type space Wr（Kp）, σ≥0, 1≤r 〈∞, is shown.

Path of Rural Vitalization Based on Coupling Perspective of Township Construction and Resource Environment in Jiangsu Province,China

Recently,the field of rural vitalization has received extensive research attention.However,only few studies have proposed an approach to rural vitalization from the coupling perspective of township construction and the resource environment.Taking Jiangsu Province of China as the study area,we constructed index systems of township construction function types and resource environments.Based on 875 township study units in Jiangsu,we characterized the township construction function type and resource environment and analyzed the dynamic process of their coupling from 2005 to 2017.The results are as follows:1)the townships of planting and breeding types in Jiangsu were mainly distributed in northern and central Jiangsu;the townships of business travel,industry,and integrated types were mainly distributed in southern Jiangsu;and the townships of ecological type were irregularly distributed throughout Jiangsu.2)Resource environment factors and township construction function types in Jiangsu clustered based on their location with some overlap.3)Spatial variability in the degree of coupling level between township construction and the resource environment in Jiangsu was not apparent,and low coupling levels accounted for most of the study units.The sum of the number of medium and high coupling townships in southern,central,and northern Jiangsu was roughly equal,and the coupling level between township construction and the resource environment in southern Jiangsu evolved remained unchanged,whereas that in the central and northern Jiangsu became imbalanced.4)In Jiangsu,township construction was mainly constrained by water resources,and the constraint parameters gradually increase.Large variability in resource environment constraint was observed in northern,central,and southern Jiangsu for different township construction function types.Based on these findings,we proposed the implementation of targeted rural vitalization strategies.

Analytic Study on a Plane Stress Tensile Crack in a Power-Law Hardening Material

Aim To construct an analytic solution for the asymptotic field near a tensile cracktip of power-law hardening material under Plane stress condition. Methods Constructing funtion method was used. Results The exact asymptotic field was found. Conclusion The exact analytic solution for the problem is available.

New Asymmetric Fuzzy PID Control for Pneumatic Position Control System

A fuzzy control algorithm of asymmetric fuzzy strategy is introduced for a servo-pneumatic position system. It can effectively solve the difficult problems of single rod low friction cylinders, which are mainly caused by asymmetric structures and different friction characteristics in two directions. On the basis of this algorithm, a traditional PID control is used to improve dynamic performance. Furthermore, a new asymmetric fuzzy PID control with α factor is advanced to improve the self-adaptability and robustness of the system. Both the theoretical analyses and experimental results prove that, with this control strategy, the dynamic performance of the system can be greatly improved. The system using this control algorithm has strong robustness and it obtains desired overshoot and repeatability in both transient and steady-state responses.

Interpersonal Functions of Epistemic Modality in Academic English Writing

In semantics, epistemic modality expresses writers＇ commitment to their propositions. In pragmatics, epistemic modality performs interpersonal functions. To date, its politeness and negotiative functions have been studied, but its constructive function seems to have failed to attract researchers＇ attention. Put simply, epistemic modal variants can be used to construct social reality, including writers＇ identity, writer-reader relations and the corresponding discourse community in which writers and readers live. The purpose of this paper is to provide a more complete picture of the interpersonal functions of epistemic modality and to raise Chinese learners＇ awareness of the importance of using such words appropriately.

Monthly Monetary Planning for China via Applying Method of Constructing Objective Function

Many economic problems can be formulated as optimization problems. Econometricians have long devoted their efforts to construct the econometric equation systems, while the corresponding objective functions receive few attentions. In recent twenty years, some techniques to construct the objective functions with economic implications have been developed, which might have a potential in economic decision-making. In the paper we app1y the method of constructing objective function to design an optimization model for monthly monetary planning of China. The real monthly data from l991 to l999 are used to evaluate the monthly economic situation. Our empirical experiment shows that the model gives a good short-term forecasting.

Construction of optimized Boolean functions

Considering connections of characteristics,this paper is aimed at the construction of optimized Boolean functions.A new method based on the Bent function,dis-crete Walsh spectrum and characteristics matrices are pre-sented by concatenating,breaking,and revising output se-quences conditionally.This new construction can be used to construct different kinds of functions satisfying different design criteria.