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Cognitive difficulties among middle-aged and older Latino adults: within-group variation across U.S. states. [PDF]
J Gerontol B Psychol Sci Soc SciGarcia MA, García C.
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2001
The function series computes truncated series expansions of expressions depending on a single free variable.
Jack-Michel Cornil, Philippe Testud
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The function series computes truncated series expansions of expressions depending on a single free variable.
Jack-Michel Cornil, Philippe Testud
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Interpretation of functional series expansions
Annals of Biomedical Engineering, 1991While much research has been devoted to the implementation and application of Volterra and Wiener functional series expansions in the identification and characterization of biological systems, little effort has been focused on the fundamental problem of interpreting the resulting kernels.
W, Krenz, L, Stark
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1975
The student is probably already familiar with the result that the sum of the infinite geometric progression: 1 + x + x 2 + x 3 + ... + x r + ... is equal to 1/(1 — x), as long as the common ratio x is numerically less than 1. We may thus write: $$ \frac{1}{{1 - x}} = 1 + x + {x^2} + {x^3} + ... + {x^r} + ...\left( {\left| x \right| < 1} \right) $$
Brian Knight, Roger Adams
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The student is probably already familiar with the result that the sum of the infinite geometric progression: 1 + x + x 2 + x 3 + ... + x r + ... is equal to 1/(1 — x), as long as the common ratio x is numerically less than 1. We may thus write: $$ \frac{1}{{1 - x}} = 1 + x + {x^2} + {x^3} + ... + {x^r} + ...\left( {\left| x \right| < 1} \right) $$
Brian Knight, Roger Adams
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1992
Abstract Exact power series expansions for thermodynamic functions have in the past proved an invaluable aid to understanding the critical behaviour of insoluble models. Indeed, the first suggestions of power law singularities at criticality were based on such analyses.
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Abstract Exact power series expansions for thermodynamic functions have in the past proved an invaluable aid to understanding the critical behaviour of insoluble models. Indeed, the first suggestions of power law singularities at criticality were based on such analyses.
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