continued fraction oor Sjinees

continued fraction

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(mathematics) A fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose denominator is an integer plus a fraction - and so on to an infinite number of terms.

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expression of a rational as an iterative sequence of addition and inversion of integers
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Continued fraction analysis reveals that if γ is rational, its denominator must be greater than 10242080.
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In the longer representation the final term in the continued fraction is 1; the shorter representation drops the final 1, but increases the new final term by 1.
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His other work in number theory continued the work of C. F. Gauss: new proofs of quadratic reciprocity and introduction of the Jacobi symbol; contributions to higher reciprocity laws, investigations of continued fractions, and the invention of Jacobi sums.
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Bitcoins were cheap, and through the following year, they continued to trade for fractions of a cent.
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Complex fractional calculations continued to be necessary in cases where there were multiple owners in order to record a claimant’s specific share of the losses to be included in the Register.
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Complex fractional calculations continued to be necessary in cases where there were multiple owners in order to record a claimant’s specific share of the losses to be included in the Register.
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The gap between major areas in the stock of international migrants as a fraction of total population has continued to widen.
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If the volume fraction of inner fluid is sufficiently high, a continuous inner core can be formed.
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The Mechanism’s current size at both branches, including continuous and ad hoc positions, represents a small fraction of the size of its predecessors.
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Ramsay continued his search for these gases using the method of fractional distillation to separate liquid air into several components.
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Are both the decimal expansion and the continued fraction of this number listed in the OEIS?
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In 1655 he gave a continued fraction expansion of 4/π
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Other topics which Heawood wrote on were continued fractions , approximation theory, and quadratic residues .
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At Frankfurt, Hellinger had continued his mathematical work on the spectral theory of Jacobi forms and continued fractions .
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During this time he wrote an influential paper On simultaneous Diophantine approximations on continued fractions .
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(the convergents for the continued fraction of r all satisfy this).
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Brouncker's mathematical achievements includes work on continued fractions and calculating logarithms by infinite series.
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Khinchin first published the book Continued Fractions in 1936 with a second edition being published in 1949.
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In April 1829 Galois had his first mathematics paper published on continued fractions in the Annales de mathématiques .
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Ramanujan had a special interest in continued fractions; i.e., effectively infinite fractional constructions.
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For examples of the evaluation of infinite series and continued fractions see Series and Fractions .
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He also found a continued fraction expansion for the integral, the convergents of which involved the Laguerre polynomials.
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The book consists of three chapters, the first two of which present the classical theory of continued fractions.
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Continuing his mathematical work Ramanujan studied continued fractions and divergent series in 1908.
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His Government continued to regard the Parking Programme as a success, as the number of parking tickets received by the diplomatic and consular officials in New York continued to be a small fraction of what it had been before the Programme was implemented.
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107 sinne gevind in 15 ms. Hulle kom uit baie bronne en word nie nagegaan nie.