欢迎来到天天文库
浏览记录
ID:40963595
大小:3.35 MB
页数:217页
时间:2019-08-12
《The Art of Computer Programming》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、Thispageintentionallyleftblank[50]Developcomputerprogramsforsimplifyingsumsthatinvolvebinomialcoe±cients.Exercise1.2.6.63inTheArtofComputerProgramming,Volume1:FundamentalAlgorithmsbyDonaldE.Knuth,AddisonWesley,Reading,Massachusetts,1968.A=BMarkoPetkov·sek
2、HerbertS.WilfUniversityofLjubljanaUniversityofPennsylvaniaLjubljana,SloveniaPhiladelphia,PA,USADoronZeilbergerTempleUniversityPhiladelphia,PA,USAApril27,1997iiContentsForewordviiAQuickStart:::ixIBackground11ProofMachines31.1Evolutionoftheprovinceofhumanth
3、ought..............31.2Canonicalandnormalforms.......................71.3Polynomialidentities...........................81.4Proofsbyexample?............................91.5Trigonometricidentities.........................111.6Fibonacciidentities...........
4、.................121.7Symmetricfunctionidentities......................121.8Ellipticfunctionidentities........................132TighteningtheTarget172.1Introduction................................172.2Identities..................................212.3Huma
5、nandcomputerproofs;anexample................232.4AMathematicasession..........................272.5AMaplesession..............................292.6Whereweareandwhathappensnext..................302.7Exercises..................................313TheHypergeo
6、metricDatabase333.1Introduction................................333.2Hypergeometricseries...........................343.3Howtoidentifyaseriesashypergeometric...............353.4Softwarethatidenti¯eshypergeometricseries..............39ivCONTENTS3.5Someentri
7、esinthehypergeometricdatabase..............423.6Usingthedatabase............................443.7Istherereallyahypergeometricdatabase?...............483.8Exercises..................................50IITheFiveBasicAlgorithms534SisterCeline'sMethod554.1Intr
8、oduction................................554.2SisterMaryCelineFasenmyer......................574.3SisterCeline'sgeneralalgorithm.....................584.4TheFundamentalTheorem.......................644.5Multivariatea
此文档下载收益归作者所有