Finite Calculus: A Tutorial for Solving Nasty Sums

A precise calculation: a guide for solving his Nasty. David Gleich … In this tutorial I will first explain the need for an accurate calculation ….

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Finite Calculus: A Tutorial for Solving Nasty Sums, contents:

  1. How to Evaluate ∑n x=1 x2?
  2. 2 The Computational Cost of Gaussian Elimination
  3. 3 The Finite Calculus
    3.1 Discrete Derivative
    3.2 The Indefinite Sum and the Discrete Anti-Derivative
    3.3 Helpful Finite Calculus Theorems
  4. 4 Making Finite Calculus Useful: Stirling and His Numbers
    4.1 Stirling Numbers (of the Second Kind)
    4.2 Proving the Theorem
    4.3 Computing Stirling Numbers
  5. 5 Examples Galore.
    5.1 ∑n x=1 x2
    5.2 A Double Sum
    5.3 Average Codeword Length
  6. 6 Conclusion
Download Finite Calculus: A Tutorial for Solving Nasty Sums pdf from www.stanford.edu, 18 pages, 155.93KB.
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