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Mathematical induction Mathematical induction is an important proof technique used in mathematics, and it is often used to establish the truth of a statement for all natural numbers. There are two parts to a proof by induction, and these are the base step and the inductive step.
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This definition of mathematical induction covers the base case of n = 1, and would need to be adjusted if the number specified in the base case is higher.
As before this definition covers the base case of n = 1 and would need to be adjusted if the number specified in the base case is higher.
We are taking the Fibonacci sequence as starting at 1, whereas others take it as starting at 0.
We will give an alternate definition of a tree in terms of a connected acyclic graph in Chap. 9 on graph theory.
Introduction to the Theory of Programming Languages. Bertrand Meyer. Prentice Hall. 1990.
- Mathematical Induction and Recursion
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