The Book on Numbers and Computation (Chinese: 筭數書; pinyin: Suàn shù shū), or the Writings on Reckoning, is one of the earliest known Chinese mathematical...
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time when The Nine Chapters on the Mathematical Art reached its final form, while the Book on Numbers and Computation and Huainanzi are roughly contemporary...
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real computation deals with hypothetical computing machines using infinite-precision real numbers. They are given this name because they operate on the...
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original on 5 October 2021. Retrieved 13 October 2021. Wagstaff, Samuel S. (January 1983). "Divisors of Mersenne numbers". Mathematics of Computation. 40 (161):...
50 KB (2,866 words) - 15:08, 31 October 2024
Zhangjiashan Han bamboo texts (category Bamboo and wooden slips)
to 186 BC. The mathematical work found within the tomb, the Book on Numbers and Computation, rapidly advanced the state of the field of ancient Chinese...
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Computer algebra (redirect from Symbolic and algebraic computation)
usually based on numerical computation with approximate floating point numbers, while symbolic computation emphasizes exact computation with expressions...
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Sunzi Suanjing (category Northern and Southern dynasties literature)
were many ancient books on mathematics such as Book on Numbers and Computation and The Nine Chapters on the Mathematical Art, no detailed account of the...
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time when The Nine Chapters on the Mathematical Art reached its final form, while the Book on Numbers and Computation and Huainanzi are roughly contemporary...
99 KB (11,512 words) - 04:54, 10 October 2024
Sections and names the ellipse, parabola, and hyperbola. 202 BC to 186 BC –China, Book on Numbers and Computation, a mathematical treatise, is written in...
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Han dynasty (category States and territories established in the 3rd century BC)
treatises still exist. These are the Book on Numbers and Computation, the Zhoubi Suanjing, and the Nine Chapters on the Mathematical Art. Han mathematical...
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Science and Civilisation in China series, succeeding Joseph Needham. His own area of research is the Han Dynasty and he translated the Book on Numbers and Computation...
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Complexity and Real Computation is a book on the computational complexity theory of real computation. It studies algorithms whose inputs and outputs are...
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Perfect number (redirect from Perfect numbers)
of Computation. 27 (124): 951–953. doi:10.2307/2005530. JSTOR 2005530. Riele, H.J.J. "Perfect Numbers and Aliquot Sequences" in H.W. Lenstra and R. Tijdeman...
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complexity. If one knows an upper bound on the size of the binary representation of the numbers that occur during a computation, the time complexity is generally...
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Fibonacci sequence (redirect from Fibonnaci numbers)
the sequence to Western European mathematics in his 1202 book Liber Abaci. Fibonacci numbers appear unexpectedly often in mathematics, so much so that...
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the Book on Numbers and Computation (Suan shu shu) The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven (Zhoubi Suanjing), and the...
139 KB (16,960 words) - 11:11, 31 October 2024
original on 2021-07-18. Retrieved 2016-01-31. Hagis, Peter, Jr. (1969). "On relatively prime odd amicable numbers". Mathematics of Computation. 23 (107):...
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Chinese Book on Numbers and Computation as one of its case studies; it asks which cultural accomplishments should be counted as mathematics, and who counted...
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Turing machine (redirect from Universal computation)
Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of...
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"Some comments on a NORC computation of π". MTAC. 9: 162–164. doi:10.1090/S0025-5718-1955-0075672-5. G. E. Felton, "Electronic computers and mathematicians...
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found in Jordan. Zhangjiashan Han bamboo texts, including the Book on Numbers and Computation, from tomb M247 at Mount Zhangjia in central China. Kitora...
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606,803,968,923 primes (roughly 2×1021) smaller than 1023. A different computation found that there are 18,435,599,767,349,200,867,866 primes (roughly 2×1022)...
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and thus immobilized the instrument until it was reset. One of the earliest surviving mathematical treatises of ancient China is the Book on Numbers and...
106 KB (13,890 words) - 22:03, 14 October 2024
Bernoulli number (redirect from Bernoulli numbers)
does not follow that notation. The Bernoulli numbers are rooted in the early history of the computation of sums of integer powers, which have been of...
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Hypercomputation (redirect from Super-Turing computation)
Hypercomputation or super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For...
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Nomogram (category Theory of computation)
computation of a mathematical function. The field of nomography was invented in 1884 by the French engineer Philbert Maurice d'Ocagne (1862–1938) and...
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Prime number (redirect from Prime numbers)
Prime Numbers: A Computational Perspective (2nd ed.). Springer. p. 121. ISBN 978-0-387-25282-7. Farach-Colton, Martín; Tsai, Meng-Tsung (2015). "On the...
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represent numbers, and arithmetic was accomplished with rod calculus and later the suanpan. The Book on Numbers and Computation and the Nine Chapters on the...
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Discrete mathematics (section Calculus of finite differences, discrete analysis, and discrete calculus)
natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements...
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Evaluate = FFT/IFFT For implemantion details, one can read the book Prime Numbers: A Computational Perspective. This variant differs somewhat from Schönhage's...
26 KB (4,580 words) - 17:26, 26 October 2024