A Class of Plurisubharmonic Functions of Positively Homogeneous of Order ρ

1　 IntroductionThe surjectivity of convolution operator and in particular of linear partial differrentialoperators with constant coefficients is often equivalent to a problem of division in anappropriate space of entire functions.Those problems often have a tight connection withthe study of plurisubharmonic functions and weight system.In this paper we construct aclass of plusisubharmonic functions of positively homogeneous oforderρ and some weightsystem,and discuss their properties.These res…     

An Algorithm of Fuzzy Nature of Organs of Machine Recognition System

１ＩｎｔｒｏｄｕｃｔｉｏｎＭａｎｕｓｅｓｓｅｎｓｅｏｒｇａｎｓａｓｍｅｄｉａｉｎｕｎｄｅｒｓｔａｎｄｉｎｇｔｈｅｏｂｊｅｃｔｉｖｅｗｏｒｌｄ．Ｌｅｎｉｎｓａｉｄｔｈａｔｓｅｎｓａｔｉｏｎｓａｒｅｔｈｅｉｍａｇｅｓｏｆｍａｔｅｒｏｎｔｈｅｍｏｖｅ，ｗｅ...     

Capturability of Pseudo Differential Games of Pursuit

This paper discusses the capturability with fixed time of a pseudo-linear differentialgame of pursuit.The pursuit set in which the pursuit will end once the initial state lies in this set isgiven by the method of integration of multi-valued function.The results obtained here solve an openproblem of Pontrjagin's on the linear differential game of pursuit.Meanwhile,the requirement of theconvexity of the control set and other related Pontrjagin's conditions are removed.     

Three Levels of Understanding of Special Relativity

1.IMRODUCTIONThefirstcompleteformulation(henceofunderstanding)ofspecialrelativity(SR)wasduetoEinsteinwhoPOstulatedtheinvarianceoflightspeedinvacuo.Thisassumptionappearedhighlynonintuitive.Actuallyitseemedabsurdthatafterhavingmeasuredthespeedofthelightemittedbyasource,oneshouldmeasurethesamevaluewhenapproaching(ordrivingawayfrom)thesamesourceoflight.ItwasthegreatmeritofMansouriandSexl[l]tohaveshownthatthelightspeedinagivendirectionisindependentofthereferencesystemSprovidedtheclocksofSbe…     

On Unobservability of One-Way Speed of Light

1.INTRODUCTION.ItiswellknownthatEinsteintheoryofspecialrelativitydiffersfromtheclassicalphysicsessentiallybythesecondPOstulate,theconstancyofvelocityoflightinavacuum.InhisfirstpaperopspecinlrelativityEinstein[l]stressedthedefinitionofsimultaneityandshowedthattheconstancyofone--wayspeedoflightisusedtosynchronizetheseparateclocksinthereferencesystems.Sincethattime,toomanypapersandbooks[2--12],inwhichisotropyofone--wayspeedoflightisdiscussed,havebeenpublished.Althoughallthetesttheoriesandth…     

A Method of Polydirectional Fuzzy Synthetical Cluster of Considering Partiality of Decision Maker

ＡＭｅｔｈｏｄｏｆＰｏｌｙｄｉｒｅｃｔｉｏｎａｌＦｕｚｚｙＳｙｎｔｈｅｔｉｃａｌＣｌｕｓｔｅｒｏｆＣｏｎｓｉｄｅｒｉｎｇＰａｒｔｉａｌｉｔｙｏｆＤｅｃｉｓｉｏｎＭａｋｅｒ￥ＬＵＺｏｎｇｈｕａ；ＹＡＯＬａｉｃｈａｎｇ（ＳｈａｎｄｏｎｇＩｎｓｔｉｔｕｔｅ...     

Basic Theory of Solutions of a Class of Nonlinear Singular Systems with Delay

1.INTSODUCTIONOnindex-1noallnearsingularsystemswithoutdelay,thelocalekistenceanduniquenessofsolutionshasbeendiscussedinthereference[2].Onglobalekistenceanduniquenessofsolutionsofindex-1systemsandofhighindexsystems,therehasbeennotmuchdiscussion.Onthebasictheoryofnonlinearsingularsystemswithdelay'therearefewresults.Itisdndculttodiscusstheekistenceanduniquenessofsolutionsoftheirinitialvalueproblems.Singularsystemscanbetransformedilltodifferelltialalgebraicequations.Andnonlinearalgebraicequa…     

Study of Model of Grey Decision Making to Choose Leading Industry of Cities

The Leading industry influences the economic development of one city. This paper establishes a decision factor system of choosing leading industry of cities, applies related decision theory in Grey System and invents the procedure of choosing leading industry, which achieved a good practical effect. Afterwards, the city Tianmen acclaims the dress industry as Leading Industry in its “The Tenth Five-Year Plan for Economic and Social Development of City TianMen“.     

Application of FSS to Reduction of Antennas' RCS

ＡｐｐｌｉｃａｔｉｏｎｏｆＦＳＳｔｏＲｅｄｕｃｔｉｏｎｏｆＡｎｔｅｎｎａｓ＇ＲＣＳ￥ＦｅｎｇＬｉｎ＆ＲｏａｎＹｉｎｇｚｈｅｎｇ（ＵｎｉｖｅｒｓｉｔｙｏｆＥｌｅｃｔｒｏｎｉｃＳｃｉｅｎｃｅａｎｄＴｅｃｈｎｏｌｏｇｙｏｆＣｈｉｎａ，Ｃｈｅｎｇｄｕ６１００...     

Some Properties of a Measure of Information Discrepancy

1　IntroductionBased on a group of axioms,a measure of information discrepancy among multipleinformation sources has been introduced in [7,8,10 ]( itabbreviated by FDOD measure) ,it has been shown that there is a close relationship between this measure and Shannonentropy,and it has many algebraic,analytic and statistic properties,such as non-negative,identity,symmetry,continuity,invariant for average,monotonicity,homogeneity,convexity,symmetric recursiveness,and so on. It has some peculiarpr…     

The Theory of Adaptation of the Nervous System

The explanation and simulation of the natural and artificial intelligence are the central goals of the studies of Neuroscience, Psychology, Artificial Intelligence and Cognitive Science. This paper first gives an introduction to the core topics and approaches in the study. Then, GAF--a general adaptive framework for neural system is proposed. Interdisciplinary discussions around the adaptation of the human nervous system are presented. Rules describing the theory of adaptation of the nervous system are provided.     

Liouvillian Solutions of Algebraic Ordinary Differential Equations of Order One of Genus Zero

This paper considers the class of autonomous algebraic ordinary differential equations(AODEs) of order one, and studies their Liouvillian general solutions. In particular, let F(y, w) = 0 be a rational algebraic curve over C. The authors give necessary and sufficient conditions for the autonomous first-order AODE F(y, y′) = 0 to have a Liouvillian solution over C. Moreover, the authors show that a Liouvillian solution α of this equation is either an algebraic function over C(x) or an algebraic f...     

Features of Channel and Signal Processing of Fuze

1.INTRODUCTIONFuzeisaninformationprocessingsystem[1]andhassystemOPeningandcODtrollingfestures.TheopeningfeatureoffuseiseXPressedbytheinformationchangewithoutside;ThecontrollingfeatureisexpressedbytheexplosionpointcontrolandstatecODtrol.ThebasisofaChievingthecoDtrolisgainingandprocessingthetargetinfortnstioneffectively.DmereDtfromthetraditionalanalyzingmethods,thispaperresearchesthechannelfeatureofgannnginformationoffUzeandcharacteristicsofhighfrequencysignalprocessingOfradpromtyfuzem…     

Application of Fuzzy Mathematics in the Evaluation of Textbooks in institutions of Higher Learning

ＡｐｐｌｉｃａｔｉｏｎｏｆＦｕｚｚｙＭａｔｈｅｍａｔｉｃｓｉｎｔｈｅＥｖａｌｕａｔｉｏｎｏｆＴｅｘｔｂｏｏｋｓｉｎｉｎｓｔｉｔｕｔｉｏｎｓｏｆＨｉｇｈｅｒＬｅａｒｎｉｎｇ￥ＬＩＪｉａｎｎｉｎｇ；ＹＡＮＸｉａｎｍｉｎｇ（ｓｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ...     

Analysis of the diversity of population and convergence of genetic algorithms based on Negentropy

1.INTRODUCTION Thediversityandconvergenceofgeneticalgorithms havegainedmoreattentionbymanyspecialistsinre centyears,althoughGAhasbeenwidelyusedin manyfieldsandobtainedsomesuccess,therestill isn’tasetofcompletetheorytoexplaintheprinciple ofGA,tosomeextent,itsdevelopmentisrestricted, evenmakingsomeonedoubtfulaboutit. Holland’smodeltheoremisthemaintheoryof GA,butitjustdisclosestheaveragechangeinthe evolutionarypopulation,notsuggestinganyinforma tionofindividualdistributionwithintheevo…     

The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids

Elias, et al.(2016) conjectured that the Kazhdan-Lusztig polynomial of any matroid is logconcave. Inspired by a computer proof of Moll’s log-concavity conjecture given by Kauers and Paule,the authors use a computer algebra system to prove the conjecture for arbitrary uniform matroids.     

A General Theory of Estimation of Variance-Covariance Components

ＡＧｅｎｅｒａｌＴｈｅｏｒｙｏｆＥｓｔｉｍａｔｉｏｎｏｆＶａｒｉａｎｃｅＣｏｖａｒｉａｎｃｅＣｏｍｐｏｎｅｎｔｓＭＡＣｈａｏｑｕｎＬＩＱｉｎｇｇｕｏＩｎｔｅｒｎａｔｉｏｎａｌＢｕｓｉｎｅｓＳｃｈｏｌｏｆＨｕｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｈｕｎａｎ４１...     

The Applications of Maximal Subgroup of Flute Group

ＴｈｅＡｐｐｌｉｃａｔｉｏｎｓｏｆＭａｘｉｍａｌＳｕｂｇｒｏｕｐｏｆＦｌｕｔｅＧｒｏｕｐＱＵＫａｉｓｈｅ（ＤｅｐａｒｔｍｅｎｔｏｆＣｏｍｐｕｔｅｒＳｃｉｅｎｃｅ，ＳｈａｎｘｉＵｎｉｖｅｒｓｉｔｙ，Ｔａｉｙｕａｎ，０３０００６）ＱＩＱｕａｎｙｕｅ（Ｉｎ...     

Development of Simulated Testbed for Electrical Power Subsystem of a Certain Kind of Satellite

1.IWTaODUCTIONAfaultdiagnosticexpertsystem(FDES)isusedtoensurethespacecraftsafetyeffectively.Theexpertsystemmustrunreliablyandavailablytoanadequateextelltinordertoprovidethehighestpossiblelevelofservice.Ingeneral,beforetheFDESisputilltopractice,itshouldbeveriliedasfarasitsdiagnosticvalidityanditsoperationalmethodsareconcerned.Accordingtotheoperationalprincipleoftheelectricalpowersubsystemofacertainkindofsatellite,atestbedsystemwasdevelopedtosimulatethenormalstatesandfailuremodesofthesa…     

Classical Theory of Advance of Perihelion of Mercury with Velocity Dependent Inertial and Gravitational Masses

ThefascinationexertedonmanybrilliantphysicistsofourtimebyEinstein,stheoryofgeneralrelativityiscausedmainlybytworeasons:l)ThetheoryisabletoexplainthesecularmotionofMercury,sperihelionandgivesforitavalueof43.2"perhundredyears,whichisinsplendidaccordancewiththecorrespondingvalueascertainedbytheastronomers.2)ThetheoryPredictsadeflectionofstarlightbytheSun,givingadeviationofaboutl.72"fromthestraightline,whichisobserved,too.Furthermore,thereexistsuntilnownoothertheory,whichcanexplainthesetwoeffect…