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An efficient elliptic curve-based deterministic measurement matrix for micro-seismic data acquisition. [PDF]
PLoS OneLiu H, Ge G, Jiang Z, Chen X.
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Number Theory and Combinatorics
2006Problem 3.4 Prove that the sum of any n entries of the table $$\begin{array}{c@{\quad}c@{\quad}c@{\quad}c@{\quad}c}1 & \frac{1}{2} & \frac{1}{3} & \ldots & \frac{1}{n}\\[4pt]\frac{1}{2} & \frac{1}{3} & \frac{1}{4} & \ldots & \frac{1}{n+1}\\[4pt]\vdots & & & & \\[4pt]\frac{1}{n} & \frac{1}{n+1} & \frac{1}{n+2} & \ldots & \frac{1}{2n-1}\end{array}$$
Bogdan Enescu, Titu Andreescu
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2018
Among the four mathematical treatises that Avicenna takes care to place within his philosophical encyclopaedia (al-Shifā’), the one he devotes to arithmetic is undoubtedly the most singular. Contrary to the treatise on geometry, which differs little from its Euclidean model, the philosopher takes as his point of departure the treatise of Nicomachus of ...
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Among the four mathematical treatises that Avicenna takes care to place within his philosophical encyclopaedia (al-Shifā’), the one he devotes to arithmetic is undoubtedly the most singular. Contrary to the treatise on geometry, which differs little from its Euclidean model, the philosopher takes as his point of departure the treatise of Nicomachus of ...
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Nature, 1940
(1)THIS is a systematic text-book on the elements of the theory of numbers, intended for beginners. The greater part of it deals with the usual elementary topics: divisibility, the H.C.F. process, congruences, and binary quadratic forms (but without the classical theory of reduction and equivalence).
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(1)THIS is a systematic text-book on the elements of the theory of numbers, intended for beginners. The greater part of it deals with the usual elementary topics: divisibility, the H.C.F. process, congruences, and binary quadratic forms (but without the classical theory of reduction and equivalence).
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Physics Bulletin, 1965 B. W. Jones London: Constable & Co. Ltd. 1961. Pp. 143. Price 8s. Some curious properties of numbers must become apparent even to those who do no more with them than simple arithmetic. Prime numbers, indeterminate equations, divisibility rules, digit-sum checks, recurring decimals, Pythagorean triads—many meet these at some time or other, and might ...
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1989
Number theory is the second large field of mathematics that comes to us from the Pythagoreans via Euclid. The Pythagorean theorem led mathematicians to the study of squares and sums of squares; Euclid drew attention to the primes by proving that there are infinitely many of them.
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Number theory is the second large field of mathematics that comes to us from the Pythagoreans via Euclid. The Pythagorean theorem led mathematicians to the study of squares and sums of squares; Euclid drew attention to the primes by proving that there are infinitely many of them.
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The Mathematical Gazette, 1996
For this ‘centenary issue’, the editor has invited me to write a survey on progress in number theory over the last 100 years. He did not, of course, ask for a proper technical report, but just a short article suitable for Gazette readers. Fortunately number theory is one of those subjects in which one can speak, albeit superficially, on the problems ...
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For this ‘centenary issue’, the editor has invited me to write a survey on progress in number theory over the last 100 years. He did not, of course, ask for a proper technical report, but just a short article suitable for Gazette readers. Fortunately number theory is one of those subjects in which one can speak, albeit superficially, on the problems ...
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