- ThispaperdemonstratesthegeneralizedRolletheoremanddiscussedthezeroofLegendrepolynomials.Accordingtothedesiredaccuracy,wedeterminethenumberoftermsintheFourierseriesandLegendrepolynomials,thenthePracticalsimplifiedformulaeareobtained.Allordinarypolynom...
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- HMOcharacteristicpolynomialandselecteigenvaluesformanyheterocyclicbenzenoidsarecalculatedbyusingchemicalgraphtheorymethods.Inthispaper,wepresentaniterativemethodfordeterminingwhetherallrootsofcharacteristicpolynomialareonthelefthalf-plane.Theformulae...
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- 1、Wegotanewsmoothfunctionforapproximatingtheplusfunctionbyinterpolationbaseonsmoothpiecewisepolynomialfunctions.2、InsteadofLagrangeorHermitepiecewisepolynomialapproximation,itissugge-stedinthispapertouseainterpolationbasedonparticularexponentialfun...
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