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Physical Sciences and Mathematics Commons™

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Mathematics

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Selected Works

Selected Works

2002

Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

Smaller Solutions For The Firing Squad, Amber Settle, Janos Simon Mar 2002

Smaller Solutions For The Firing Squad, Amber Settle, Janos Simon

Amber Settle

In this paper we improve the bounds on the complexity of solutions to the firing squad problem, also known as the firing synchronization problem. In the firing synchronization problem we consider a one-dimensional array of n identical finite automata. Initially all automata are in the same state except for one automaton designated as the initiator for the synchronization. Our results hold for the original problem, where the initiator may be located at either endpoint, and for the variant where any one of the automata may be the initiator, called the generalized problem. In both cases, the goal is to define …

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Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench Dec 2001

Asymptotically Constant Solutions Of Functional Difference Systems, William F. Trench

William F. Trench

No abstract provided.

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Analysis And Classification Of Nonlinear Dispersive Evolution Equations In The Potential Representation, Andrei Ludu Dec 2001

Analysis And Classification Of Nonlinear Dispersive Evolution Equations In The Potential Representation, Andrei Ludu

Andrei Ludu

No abstract provided.

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Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, And The Boundary Element Method, Tian-Xiao He Dec 2001

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, And The Boundary Element Method, Tian-Xiao He

Tian-Xiao He

This paper discusses the connection between boundary quadrature formulas constructed by using solutions of partial differential equations and boundary element schemes.

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