By Helena & SIKORSKI, Roman. RASIOWA

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1 Discrete Functions . . . . . . . . . . . . . 2 De nition of the Z-Transformation . . . . . . . . . 3 Rules of Calculations . . . . . . . . . . . . . 4 Relation to the Laplace Transformation . . . . . . . . 5 Inverse of the Z-Transformation . . . . . . . . . . 2 Applications of the Z-Transformation . . . . . . . . . . . 1 General Solution of Linear Di erence Equations . . . . . 2 Second-Order Di erence Equations (Initial Value Problem) .

7 Procedures, Functions and Operators . . . . . 1 Procedures . . . . . . . . . 2 Functions . . . . . . . . . . 3 Functional Operators . . . . . . . 4 Di erential Operators . . . . . . 5 The Functional Operator map . . . . 8 Programming in Maple . . . . . . . . . 9 Supplement about Syntax, Information and Help .

2 Maple . . . . . . . . . . . 4 Di erential and Integral Calculus . . . . . . 1 Mathematica . . . . . . . . . 2 Maple . . . . . . . . . . . 5 Graphics in Computer Algebra Systems . . . . . . 1 Graphics with Mathematica . . . . . . . 1 Basic Elements of Graphics . . . . . 2 Graphics Primitives . . . . . . . 3 Syntax of Graphical Representation . . . 4 Graphical Options . . . . . . . 5 Two-Dimensional Curves . .

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