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By mathematical induction, part two of this lemma is proved.
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Rubinstein (1987) argues that his conclusion seems paradoxical for the same reason the backwards induction solution of Alan's and Fiona's perfect information game might seem paradoxical: Mathematical induction does not appear to be part of our "everyday" reasoning.
We describe rippling: a tactic for the heuristic control of the key part of proofs by mathematical induction.
Mathematical induction is a very important technique of theorem proving in mathematics and computer science.
Not surprisingly, this requires a suitable form of mathematical induction.
Applying mathematical induction.
Proof Using mathematical induction.
we use the mathematical induction.
Proof Use the mathematical induction.
We will apply mathematical induction.
By mathematical induction, (42) holds.
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