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Full-Text Articles in Physical Sciences and Mathematics

[Introduction To] Generalized Analytic Continuation, William T. Ross, Harold S. Shapiro Jan 2002

[Introduction To] Generalized Analytic Continuation, William T. Ross, Harold S. Shapiro

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The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. This book addresses the following questions: (1) When can we say, in some reasonable way, that component functions of a meromorphic function on a disconnected domain, are "continuations" of each other? (2) What role do such "continuations" play in certain aspects of approximation theory and operator theory? The authors use the strong analogy with the summability of divergent series …


[Introduction To] Data Structures With Java: A Laboratory Approach, Joe Kent, Lewis Barnett Iii Jan 2002

[Introduction To] Data Structures With Java: A Laboratory Approach, Joe Kent, Lewis Barnett Iii

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This book is designed to present the key topics in the second course for computer science students using the Java programming language. For convenience, we cover exceptions and file operations in Java, although this may have been covered in the first course. We also cover material on the binary representation of data and Java's bitwise operations, with applications.These are topics needed for computer organization an operating systems courses.