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Jeffrey Charles Percy Miller (1906–1981) was an English mathematician and computing pioneer. He worked in number theory and on geometry, particularly polyhedra, where Miller's monster refers to the great dirhombicosidodecahedron. He was an early member of the Computing Laboratory of the University of Cambridge.〔(A brief informal history of the Computer Laboratory )〕 He contributed in computation to the construction and documentation of mathematical tables,〔A. Fletcher, J. C. P. Miller and L. Rosenhead, ''An index of mathematical tables''; this work is mentioned in Diana H. Hook, Jeremy M. Norman, Michael R. Williams, ''Origins of Cyberspace: A Library on the History of Computing, Networking, and Telecommunications'' (2002), p. 362, as compiled in 1943, and remaining useful until the 1960s.〕 and by the proposal of certain algorithms. Miller's recurrence algorithm is mentioned in the ''Handbook of Mathematical Functions''.〔Milton Abramowitz, Irene A. Stegun, ''Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables'' (1965), p. xiii.〕 As the reference says, this technique was subsequently much developed and applied, and was enunciated rather casually by Miller in a 1952 book of tables of Bessel functions. In volume 2 of ''The Art of Computer Programming'', Donald Knuth attributes to Miller a basic technique on formal power series, for recursive evaluation of coefficients of powers or more general functions.〔P. 507 of the second edition.〕 In the theory of stellation of polyhedra, he made some influential suggestions to H. S. M. Coxeter. These became known as ''Miller's rules''. The 1938 book on the fifty-nine icosahedra resulted, written by Coxeter and Patrick du Val.〔(''Stellation and facetting - a brief history'' )〕 In the 1930s, Coxeter and Miller found 12 new uniform polyhedra, a step in the process of their complete classification in the 1950s.〔Peter R. Cromwell, ''Polyhedra: "One of the Most Charming Chapters of Geometry"'' (1999), p. 178.〕 Miller also made an early investigation into what is now known as the Rule 90 cellular automaton.〔.〕 Dr Miller was married to Germaine Miller (née Gough) in 1934 and had three children (David, Alison and Jane). Germaine died in Cambridge in her 100th year in March 2010 and is buried at St Andrew's Church, Chesterton, Cambridge. ==Notes== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「J. C. P. Miller」の詳細全文を読む スポンサード リンク
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