Sieve Methods

2001 ◽  
pp. 397-422
Author(s):  
M. Ram Murty
Keyword(s):  
Sieve Methods

Results of Linear Cryptanalysis Using Linear Sieve Methods

2009 ◽  
Vol E92-A (5) ◽  
pp. 1347-1355
Author(s):  
Yukiyasu TSUNOO ◽  
Hiroki NAKASHIMA ◽  
Hiroyasu KUBO ◽  
Teruo SAITO ◽  
Takeshi KAWABATA
Keyword(s):  
Linear Cryptanalysis ◽  
Sieve Methods

The paucity problem for simultaneous quadratic and biquadratic equations

1999 ◽  
Vol 126 (2) ◽  
pp. 209-221 ◽  
Author(s):  
W. Y. TSUI ◽  
T. D. WOOLEY
Keyword(s):  
Lower Bounds ◽  
Diophantine Equations ◽  
Upper And Lower Bounds ◽  
Current Interest ◽  
Sieve Methods ◽  
Number Of Solutions ◽  
Simultaneous Diophantine Equations ◽  
History Of

The problem of constructing non-diagonal solutions to systems of symmetric diagonal equations has attracted intense investigation for centuries (see [5, 6] for a history of such problems) and remains a topic of current interest (see, for example, [2–4]). In contrast, the problem of bounding the number of such non-diagonal solutions has commanded attention only comparatively recently, the first non-trivial estimates having been obtained around thirty years ago through the sieve methods applied by Hooley [10, 11] and Greaves [7] in their investigations concerning sums of two kth powers. As a further contribution to the problem of establishing the paucity of non-diagonal solutions in certain systems of diagonal diophantine equations, in this paper we bound the number of non-diagonal solutions of a system of simultaneous quadratic and biquadratic equations. Let S(P) denote the number of solutions of the simultaneous diophantine equationsformula herewith 0[les ]xi, yi[les ]P(1[les ]i[les ]3), and let T(P) denote the corresponding number of solutions with (x1, x2, x3) a permutation of (y1, y2, y3). In Section 4 below we establish the upper and lower bounds for S(P)−T(P) contained in the following theorem.

Sieve methods

2009 ◽  
pp. 163-211
Keyword(s):  
Sieve Methods

scholarly journals Solving dynamic discrete choice models using smoothing and sieve methods

2020 ◽  
Author(s):  
Dennis Kristensen ◽  
Patrick K. Mogensen ◽  
Jong Myun Moon ◽  
Bertel Schjerning
Keyword(s):  
Discrete Choice ◽  
Choice Models ◽  
Discrete Choice Models ◽  
Dynamic Discrete Choice ◽  
Sieve Methods

scholarly journals Advances in the Radiocarbon Analysis of Carbon dioxide at the NERC Radiocarbon Facility (East Kilbride) using Molecular sieve Cartridges

Radiocarbon ◽  
2019 ◽  
Vol 61 (6) ◽  
pp. 1855-1865
Author(s):  
M H Garnett ◽  
Josephine-Anne Newton ◽  
P L Ascough
Keyword(s):  
Carbon Dioxide ◽  
Molecular Sieves ◽  
Molecular Sieve ◽  
Content Standards ◽  
Sieve Methods ◽  
Scientific Investigations ◽  
Consensus Values ◽  
Anthropogenic Processes ◽  
Automated Procedures ◽  
Quality Assurance Standards

ABSTRACTRadiocarbon (14C) analysis of carbon dioxide (CO2) provides unique information on the age, turnover and source of this important greenhouse gas, raising the prospect of novel scientific investigations into a range of natural and anthropogenic processes. To achieve these measurements, cartridges containing zeolite molecular sieves are a reliable and convenient method for collecting CO2 samples. At the NERC Radiocarbon Facility (East Kilbride) we have been refining our molecular sieve methods for over twenty years to achieve high-quality, reproducible and precise measurements. At the same time, we have been developing novel field sampling methods to expand the possibilities in collecting gas from the atmosphere, soil respiration and aquatic environments. Here, we present our latest improvements to cartridge design and procedures. We provide the results of tests used to verify the methods using known 14C content standards, demonstrating reliability for sample volumes of 3 mL CO2 (STP; 1.6 mg C) collected in cartridges that had been prepared at least three months earlier. We also report the results of quality assurance standards processed over the last two years, with results for 22 out of 23 international 14C standards being within measurement uncertainty of consensus values. We describe our latest automated procedures for the preparation of cartridges prior to use.

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