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The mathematical techniques used by the modern theoretical physicist are frequently borrowed from the pure mathematics of past eras.
Applying the kinds of mathematical techniques used to map Facebook friends and other networks, Amaral and colleagues created software that can trace the ball's flow from player to player.
We omit a detailed discussion of these aspects, since their proofs and the mathematical techniques used are analogous to the proofs and the techniques used in the discussion of Model 2a.
Rijndael was also the only algorithm among the five finalists not to face a potential patent-infringement lawsuit from Hitachi, which earlier this year made broad claims to an array of mathematical techniques used by ciphers (Science, 19 May, p. 1161).
Jay Wacker, a particle physicist at the SLAC National Accelerator Laboratory, said he wasn't confident about the mathematical techniques used, and that it seemed in both cases the scientists weren't applying the mathematical tools in the way that most would.
We provided an overview of the most common mathematical techniques used in the stoichiometric analysis of metabolic networks.
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His mathematical techniques use hundreds of cues from pitch, timing and intensity to distinguish between patterns of angry and non-angry speech.
Graph theory is the most important mathematical technique used to model the geomorphological relations among the entities in a system.
The CWT is a mathematical technique used to decompose a signal on a time frequency representation through a special class of functions called wavelets.
Principal Components Analysis (PCA) is a mathematical technique used to reduce the number of variables in the dataset and is used as a visualisation technique to observe similarities and differences in the dataset.
The mathematical technique used in the present analysis is the parameter-group transformation, the linear transformation group approach is developed to solve the heat diffusion problems in the presence of thermal conductivity and heat capacity.
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