THE COMPOSITE FORMULAS ON A CONVEXDOMAIN IN C^n

Using the Plemelj formulas for a function and a (n,n-1)-form on a convex domain in Cn, the author obtains their composite formulas and inverse formulas. As an application, the author proves that the singular integral equation with Aizenberg kernel is equivalent to a Fredholm equation.

Exploring the clinical significance of Yinqiao powder based on the compatibility of Chinese herbal formulas

Yinqiao powder comes from the book"Wenbing Tiaobian"(Detailed Analysis of Epidemic Warm Diseases)written by Wu Jutong in the Qing Dynasty(1636-1912),in which it is mentioned that"pungent-cool diaphoretic agent Yinqiao power is used to treat patients with fever,not aversion to cold but thirsty"Yinqiao powder is often used to treat Wind-warm syndrome,warm-heat syndrome and miscellaneous diseases caused by some pathogenic factors in Wei-fen syndrome(Wei-fen syndrome is the syndrome name of the disease and is often used to indicate the initial stage of exogenous febrile disease,which is the syndrome of the body's guard surface.)and upper energizer.With the further research and application of Yinqiao powder,it is more and more widely used in clinic.This article summarizes the clinical application of Yinqiao powder through the analysis of the prescription meaning,compatible prescriptions,decoction methods and other aspects of Yinqiao powder in order to provide more evidence for clinical treatment of febrile disease.At the same time,through the prescription thinking of Yinqiao powder,we can learn Wu Jutong's treatment principle and academic thought of"Shangjiao(Shangjiao is one of the three and is the upper part of the Sanjiao.Generally refers to the chest above the diaphragm,including the heart,lungs and throat.)is like a feather,not lightly".Wu Jutong's flexible use of Chinese medicine and the thought of syndrome differentiation and treatment are also worthy of our study and reference.

Singular integral on bounded strictly pseudoconvex domain

Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.

国外程式语识别研究概述

程式语是一种集词汇特征、语法结构、语义和/或语用功能为一体的多词单位。近些年来,程式语受到了越来越多的关注与研究。学者们从不同的研究背景(如语料库语言学、语用学、语言习得、心理语言学、认知语言学)出发,对语言使用中的程式语进行了多方位的研究。但该研究领域中的一些基本问题如术语、定义和识别标准至今还没有形成定论。尤其在如何识别程式语这一问题上,不同的研究者往往使用不同的判别标准。对国外程式语研究中主要的识别标准进行梳理和分析,指出各种标准的优点和缺点,提出要根据具体的研究对象,针对语料的大小,采取客观与主观的标准相结合的方法,制定出一套具体的识别标准,从而准确、可靠、全面地识别出语言使用中的程式语。

THE DIFFERENTIAL INTEGRAL EQUATIONS ONSMOOTH CLOSED ORIENTABLE MANIFOLDS

Using integration by parts and Stokes' formula, the authors give a new definition of Hadamard principal value of higher order singular integrals with Bochner-Martinelli kernel on smooth closed orientable manifolds in C-n. The Plemelj formula and composite formula of higher order singular integral are obtained. Differential integral equations on smooth closed orientable manifolds are treated by using the composite formula.

Prescription analysis of traditional chinese medicine for COVID-19treatment

Background:Coronavirus disease 2019 is still spreading all over the world and without any specific medicine.Traditional Chinese medicine has played an important role in the control of epidemics in China and accumulated many experiences.The aim of this study is to summarize the law of traditional Chinese medicine and provide reference for coronavirus disease 2019 traditional Chinese medicine treatment.Methods:We collected the treatment plans of traditional Chinese medicine for coronavirus disease 2019 in 24 provinces of China to evaluate the basic Chinese medicine formulas,and the efficacy types,frequency,“Four Characters”,“Five Tastes”,“Channel Tropism”of herbal medicines.Combination rules between medicines were calculated by Apriori algorithm and Clementine12.0.Results:The formulas for“Relieving Exterior Syndrome”,“Expelling Dampness”,“Clearing Heat”and“Supplementing”have highest proportion.In prevention period and medical observation period,the medicines mainly have effect for“Clearing Heat”,“Relieving Exterior Syndrome”and“Supplementing”.In treatment period,medicines for“Clearing Heat”,“Relieving Superficies”and“Relieving Dampness”had higher frequency.The“Four Characters”of Chinese medicines in all treatment plans were mainly“Cold”and“Warm”.Medicines in the treatment plans always belong to“Pungent Taste”,“Bitter Taste”and“Sweet Taste”.For“Channel Tropism”,most medicines turned over to the“Lung”,“Stoma”and“Spleen”.The common medicine combinations in the recommended formulas during the prevention period and medical observation period were medicines for“Qi-Supplementing”and“Relieving Superficies”.In treatment period(mild,moderate,severe/critical),medicines for“Dampness Expelling”,“Relieving Superficies”and“Qi-Supplementing”were combined in a high frequency.In recovery period,the medicines for“Dispelling Dampness”combined the medicines for“Promoting Blood Circulation”with highest frequency.Conclusions:We found the characteristics of medicine and prescription rules of traditional Chinese medicine for the treatment of coronavirus disease 2019 and provided scientificity and effectiveness of it.More importantly,it provides reference for the development of new clinical prescriptions for coronavirus disease 2019.

High-Temperature Structural Stabilities of Ni-Based SingleCrystal Superalloys Ni–Co–Cr–Mo–W–Al–Ti–Ta with Varying Co Contents

It has been recently pointed out that the compositions of industrial alloys are originated from cluster-plus-glueatom structure units in solid solutions. Specifically for Ni-based superalloys, after properly grouping the alloying elements into Al, Ni-like（Ni^-）, γ＇-forming Cr-like（Cr^-γ＇） and γ-forming Cr-like（Cr^-γ＇）, the optimal formula for single-crystal superalloys is established [Al–Ni^-12]（AlCr^-γ0：5Cr^-γ1：5）. The Co substitutions for Ni at the shell sites are conducted on the basis of the first-generation single-crystal superalloy AM3, formulated as [Al-Ni2-xCox]（Al1Ti0.25Ta0.25Cr1W0.25Mo0.25）, with x = 1.5, 1.75, 2 and 2.5（the corresponding weight percents of Co are 9.43, 11.0, 12.57 and 15.71, respectively）. The900 ℃ long-term aging follows the Lifshitz–Slyozov–Wagner theory（LSW theory）, and the Co content does not have noticeable influence on the coarsening rate of c0. The microstructure and creep behavior of the four（001） single-crystal alloys are investigated. The creep rupture lifetime is reduced as Co increases. The alloy with the lowest Co（9.43 Co） shows the longest lifetime of about 350 h at 1050 ℃/120 MPa, and all the samples show N-type rafting after creep tests.