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Development of the numerical brain
2014Abstract This article focuses on typical trajectories of numerical cognition from infancy all the way through to adulthood (please note that atypical pathways of numerical cognition will be dealt in‘Brain Correlates of Numerical Disabilities’).
Kaufmann, Liane +2 more
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The Development of Numerical Understandings
1982Publisher Summary This chapter explores the ways in which people's understandings of concepts can be characterized. In particular, it attempts to characterize very young children's understandings of numbers by examining a variety of their numerical skills, by inferring representations and processes that might give rise to each of these skills, and by
R S, Siegler, M, Robinson
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The early development of numerical reasoning
Cognition, 1992Children of age 1-4 years were found capable of engaging in numerical reasoning. Children were presented with a task in which they placed a set of objects one by one into an opaque container. An experimenter then visibly performed either an addition, a subtraction, or no transformation on the screened set.
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Fundamental Steps in the Development of Numeration
Isis, 1944CENTURIES ago the so-called Hindu-Arabic system of notation virtually displaced all rivals in the field of numeration. If on the one hand intensive scholarly research has failed to yield a satisfactory and unequivocal historical account of the origins of the system, nevertheless on the other hand mathematicians feel no uncertainty as to the logical ...
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DEVELOPMENT OF 3D NUMERICAL MANIFOLD METHOD
International Journal of Computational Methods, 2009The numerical manifold method (NMM) is a combination of the finite element method (FEM) and discontinuous deformation analysis (DDA) method. It provides a robust numerical solution to a solid medium with dense discontinuities. This paper extends NMM to the three-dimensional domain based on the 2D fundamentals.
He, Lei, Ma, Guowei
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The development of numerical classification and ordination
Vegetatio, 1980The invitation to open this session set me thinking about the development of numerical procedures of classification and ordination. Their technical development has been reviewed by various authors from various viewpoints, e.g. Cormack (1971), Orloci (1975, 1978), Dale (1975), Goodall (1970), Greig-Smith (1954, 1964, 1980), Whittaker (1967, 1973).
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DEVELOPMENT OF A NONLINEAR HYBRID NUMERICAL METHOD
Advances in Differential Equations and Control Processes, 2018Summary: A new hybrid nonlinear numerical method is proposed for solving initial value problems in ordinary differential equations. The proposed hybrid method is found to be second order accurate and linearly stable. The stability region of the method is also presented in addition to the development of the local truncation error associated with the ...
Aliya, Tasneem +2 more
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Development of Numerical Estimation in Young Children
Child Development, 2004Abstract Two experiments examined kindergartners', first graders', and second graders' numerical estimation, the internal representations that gave rise to the estimates, and the general hypothesis that developmental sequences within a domain tend to repeat themselves in new contexts.
Robert S, Siegler, Julie L, Booth
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NUMERICAL STUDIES OF DEVELOPING FLOW IN MICROCHANNEL
International Journal of Computational Engineering Science, 2003Microchannels have the potential to be ultra compact, very efficient heat exchangers, which capitalize on the large surface area to volume ratio of the channels, to transport high heat fluxes with small thermal resistance. This paper describes a 3-D developing flow model by using Navier stoke equations with electric double layer (EDL) effect to model ...
S. T. Tan, E. Y. K. Ng
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An open question to developers of numerical software
Computer, 2005IEEE 754 a standard for binary floating-point arithmetic has revolutionized the portability and reliability of programs that use binary floating-point arithmetic. Floating point is almost universally implemented with special-purpose hardware that tucks into a small corner of the CPU chip and runs in the hundreds of Mflops to Gflops range.
William Kahan, Dan Zuras
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