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1、ABriefIntroductiontoScrewySurfacesEquationandBoxTransformationCoordinateSystem--UnderstandinganewtypemathematictrainofthoughtsandmethodCaoYupin1,ChenZhanjie2(No.1GeologicalExplorationInstituteofHenanBureauofGeologyandMineralsExploration,Nayang,Henan;2.MinistryofLandandResources,Peking100812)Ab
2、stract:Boxtransformationcoordinatesystemwasanewtypecoordinatesystemchanginghomonymycoordinateunitofconventionalrectangularcoordinatesystemfromcompletelyequalintocompletelyvariable,notonlyrealizedaccurateexpressionofvariousscrewysurfacesequation,butalsobasicallysolvedtheproblemsofvariousscrewys
3、urfaces,non-linearunevendynamiclimitedspace,functionandimagedynamiccorresponding.Itspromotionwouldcausemajorbreakthroughorreformofmodernmathematicanditsrelatedsubjects.Keywords:screwysurfaces;positiveboxbody;boxtransformationcoordinatesystem;variablecoefficient;variablefunctionIntroduction:Inr
4、eallife,variousscrewysurfacesexisteverywhere,butitisdifficultforcurrentcoordinatesystemstohaveaccurateexpressionandrelevantaccurateoperations.Therefore,thisauthortriedanon-traditionalboxtransformationcoordinatesystem,boxtransformationfunctionandrelevantvariableoperation,andfurthermoreextendedi
5、tintoacompletesetofvariablemethod.Althoughquitehoarse,thissetofmethodfundamentallyrevealedcertainuniversalmathematicrules.Inordertofacilitateexchangeandsavespace,thisauthorbrieflydescribedapartofitstrainofthoughtsandmethodbelowwiththepurposetoofferafewcommonplaceremarksbywayofintroductionsotha
6、tothersmaycomeupwithvaluableopinions.Thispaperfocusedonabriefintroductiontoscrewysurfacesequationandboxtransformationcoordinatesystem,therestcouldbeseenfromthebookof“ElementaryStudyonCSVariateMethod”,outofwhich,duetothedescriptionsfrequentlyexceededtraditionalcategory,thisauthorhadtousesomenew
7、termsandexpectedthereaderscouldunderstandandofferinstructions.141452522/3(3/)2/3(3/)678678J6/7/(a)J6/7/(b)图1正箱体概念示意图(a)线性直近箱体(b)线性直次箱体1.ScrewysurfacesandscrewysurfacesequationTheinitialtrainofthoughtsforscrewysurfacesandscrewysurfaceseq