Results 211 to 220 of about 354,309 (252)
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Canadian Journal of Mathematics, 1956
1. Introduction. Let a1 a2, …, am be a set of real non-negative numbers and let1.1 P(x) = a1x + a2x2 + … + amxm (am ≠ 0).Many combinatorial problems can be reduced to the study of numbers Bn generated by1.2.Some problems of this type were treated by Touchard (7), Jacobsthal (3), Chowla, Herstein, Moore and Scott (1; 2), and the present authors (4).
Moser, Leo, Wyman, Max
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1. Introduction. Let a1 a2, …, am be a set of real non-negative numbers and let1.1 P(x) = a1x + a2x2 + … + amxm (am ≠ 0).Many combinatorial problems can be reduced to the study of numbers Bn generated by1.2.Some problems of this type were treated by Touchard (7), Jacobsthal (3), Chowla, Herstein, Moore and Scott (1; 2), and the present authors (4).
Moser, Leo, Wyman, Max
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SIAM Journal on Mathematical Analysis, 1994
It is shown that the remainders in a variety of asymptotic series can be estimated uniformly by the same integral.
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It is shown that the remainders in a variety of asymptotic series can be estimated uniformly by the same integral.
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SIAM Journal on Mathematical Analysis, 1970
An example is given of a convergent series expansion which has twice itself as its own asymptotic expansion.
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An example is given of a convergent series expansion which has twice itself as its own asymptotic expansion.
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Polyvariograms and their Asymptotes
Journal of Time Series Analysis, 1999A definition of a polyvariogram (PV) γb(h)(h = 1, 2, ...) of order b (b≥ max(0, d− 1) is suggested for time series {Z(t})} satisfying {∇d(Z(t) = W(t) (where d is a non‐negative integer and {W(t)} is a second‐order stationary time series and is not over‐differenced). When b = 0, 1 and 2, this definition corresponds to Cressie's (J. Am. Stat. Assoc.
Chen, Zhao-Guo., Anderson, Oliver D.
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SIAM Review, 1980
Three examples are given which illustrate the need for high precision asymptotics of an unusual kind. A simple method for achieving it is outlined. It shows, in particular, how the WKB paradox can be broken by complex embedding.
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Three examples are given which illustrate the need for high precision asymptotics of an unusual kind. A simple method for achieving it is outlined. It shows, in particular, how the WKB paradox can be broken by complex embedding.
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Asymptotic Fields and Asymptotic Couples
2017This chapter deals with asymptotic differential fields and their asymptotic couples. Asymptotic fields include Rosenlicht's differential-valued fields and share many of their basic properties. A key feature of an asymptotic field is its asymptotic couple.
Matthias Aschenbrenner +2 more
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Journal of Motor Behavior, 1969
Certain experimental designs are based upon the assumption that performance level becomes stabilized after a prolonged period of practice. This assumption was tested by taking a long series of repeated measurements upon a single S for the performance of each of several constant tasks, each task being tested singly in a separate series of measurements ...
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Certain experimental designs are based upon the assumption that performance level becomes stabilized after a prolonged period of practice. This assumption was tested by taking a long series of repeated measurements upon a single S for the performance of each of several constant tasks, each task being tested singly in a separate series of measurements ...
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Mathematical Programming, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physica D: Nonlinear Phenomena, 1985
The aim of the present work is to illustrate how, in a physical system with a triple instability, chaos occurs when the parameters are chosen to be arbitrarily close to the simultaneous onset of the three instabilities. The article provides a list of normal forms of ordinary differential equations describing the dynamics of systems in conditions near ...
Arneodo, A. +3 more
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The aim of the present work is to illustrate how, in a physical system with a triple instability, chaos occurs when the parameters are chosen to be arbitrarily close to the simultaneous onset of the three instabilities. The article provides a list of normal forms of ordinary differential equations describing the dynamics of systems in conditions near ...
Arneodo, A. +3 more
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