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Jeffrey Charles Percy Miller (31 August 1906 – 24 April 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. He contributed in computation to the construction and documentation of mathematical tables, and by the proposal of certain algorithms. Miller's recurrence algorithm is mentioned in the Handbook of Mathematical Functions.

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  • Jeffrey Charles Percy Miller, meist J. C. P. Miller zitiert, (* 31. August 1906 in Isleworth; † 24. April 1981) war ein britischer Mathematiker. Jeffrey Miller studierte Mathematik am Trinity College in Cambridge mit dem Bachelor-Abschluss 1928, dem Master-Abschluss 1931 und der Promotion (Ph.D.) 1933. Außerdem war er 1926 Wrangler in Teil 1 der Tripos-Prüfungen und 1928 in Teil 2. Er war von 1935 bis 1947 an der University of Liverpool als University Lecturer am Computing Laboratory und danach technischer Direktor von Scientific Computing Service in London. Miller ist bekannt für die Erstellung von Tafeln mathematischer Funktionen. Von ihm stammt eine nach ihm benannte numerische Methode zur Berechnung von Besselfunktionen. 1930 entdeckte er einen neuen Archimedischen Körper, das Pseudo-Rhombenkuboktaeder. Allerdings wird dieser in vielen Klassifikationen als Archimedischer Körper geführt, sondern als Johnson-Körper. 1954 klassifizierte er mit H. S. M. Coxeter und Michael Longuet-Higgins uniforme Polyeder. Ein nichtkonvexes uniformes Polyeder mit herausragenden Eigenschaften wird nach ihm Millers Monster genannt (Großes Dirhombicosidodekaeder). Es ist das einzige uniforme Polyeder, bei dem sich mehr als sechs Seiten an jeder Ecke treffen, und kann nicht nach der Wythoff-Konstruktionsmethode erstellt werden. Zusammen mit Coxeter fand er insgesamt zwölf neue uniforme Polyeder und von ihm stammen auch weitere Entdeckungen auf dem Gebiet der Theorie der Polyeder in Zusammenarbeit mit Coxeter (wie Millers Regel in der Theorie der Sternkörper). Außerdem veröffentlichte er über Zahlentheorie. Seine Tafelwerke betrafen auch Funktionen mit astronomischen Anwendungen (wie die Lösung der Emden-Gleichung). Er war Fellow der Royal Astronomical Society und der Royal Meteorological Society. (de)
  • Jeffrey Charles Percy Miller (31 August 1906 – 24 April 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. He contributed in computation to the construction and documentation of mathematical tables, and by the proposal of certain algorithms. Miller's recurrence algorithm is mentioned in the Handbook of Mathematical Functions. What Miller perceived was that in a second-order linear recurrence which has solutions sufficiently differentiated asymptotically, there is a solution that may be uniquely characterized by one initial value and a knowledge of its growth. This led to an algorithm for computing certain solutions of the equation which required only a scant knowledge of their pointwise values. 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. 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. In the 1930s, Coxeter and Miller found 12 new uniform polyhedra, a step in the process of their complete classification in the 1950s. 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. (en)
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  • Jeffrey Charles Percy Miller, meist J. C. P. Miller zitiert, (* 31. August 1906 in Isleworth; † 24. April 1981) war ein britischer Mathematiker. Jeffrey Miller studierte Mathematik am Trinity College in Cambridge mit dem Bachelor-Abschluss 1928, dem Master-Abschluss 1931 und der Promotion (Ph.D.) 1933. Außerdem war er 1926 Wrangler in Teil 1 der Tripos-Prüfungen und 1928 in Teil 2. Er war von 1935 bis 1947 an der University of Liverpool als University Lecturer am Computing Laboratory und danach technischer Direktor von Scientific Computing Service in London. (de)
  • Jeffrey Charles Percy Miller (31 August 1906 – 24 April 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. He contributed in computation to the construction and documentation of mathematical tables, and by the proposal of certain algorithms. Miller's recurrence algorithm is mentioned in the Handbook of Mathematical Functions. (en)
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  • Jeffrey Charles Percy Miller (de)
  • J. C. P. Miller (en)
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