More on Functions 2

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Wolfgang Schreiner
Research Institute for Symbolic Computation (RISC-Linz)
Johannes Kepler University, Linz, Austria
  • Overview
  • Sequence Quantor
  • Monotonicity
  • Monontonicity (Continued)
  • Illustration
  • Example
  • Bounds
  • Supremum and Infimum
  • Illustration
  • Unicity of Supremum
  • Example
  • Illustration
  • Convergence and Limit
  • Illustration
  • Example
  • Example
  • Limit Quantor
  • Series
  • Example
  • Arithmetic Series
  • Geometric Series
  • Series Limit Quantor
  • Limit of Geometric Serries
  • Pointwise Function Definition
  • Example
  • Floor and Ceiling
  • Illustration
  • Floor and Ceiling Rules
  • Floor and Ceiling Rules
  • Truncation
  • Example
  • Periodic Functions
  • Real Remainder
  • Example
  • Remainder Laws
  • More Real Functions
  • Motivation
  • Big O Quantor
  • Illustration
  • Usage
  • Example
  • Example
  • Example
  • O Manipulation
  • Asymptotic of Polynomial Sequences
  • Asymptotic Classes
  • Asymptotic Classes
  • Comparison of Algorithms
  • Summary
    • Author: Wolfgang Schreiner
    Last Modification: December 14, 1999
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