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mathematical induction
mathematical induction
- A method of proof in which a statement is proved for one step in a process, and it is shown that if the statement holds for that step, it holds for the next.
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Word History and Origins
Origin of mathematical induction1
First recorded in 1830–40
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Example Sentences
We can ascend only by mathematical induction, which alone can teach us something new.
From Project Gutenberg
This mode of reasoning is none the less a true mathematical induction which differs from ordinary induction only by its certitude.
From Project Gutenberg
To all such numbers, proofs by mathematical induction can be validly applied.
From Project Gutenberg
It may be noticed that (iv) is the familar principle of mathematical induction.
From Project Gutenberg
This is the principle of what is called “mathematical induction.”
From Project Gutenberg
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