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INDUCTION, eccles. law. The giving a clerk, instituted to a benefice, the actual possession of its temporalties, in the nature of livery of seisin. Ayl. Parerg. 299.

A Law Dictionary, Adapted to the Constitution and Laws of the United States. By John Bouvier. Published 1856.
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Utilizing (3.67) and by mathematical induction on [alpha], we arrive at (3.60).
One example of a hands-on, concrete manipulative that can be used actively to develop the concept of mathematical induction is the Tower of Hanoi problem.
Since the mathematical induction sets up a claim to X=[eta]>[beta], whereas now has X=g=[beta]+d+[[mu].sub.p]+1> [beta], thus can replace g by [eta], therefore, we have proven that there is a set of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and a pair of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] on the right of [J.sub.[eta]] at No1 [RLS.sub.No1~No[eta]].
Therefore, it is proved by mathematical induction that the approximated [SINR.sub.L] in (48) is valid for 2 [less than or equal to] q < p.
Since both the basis and the inductive step have been proved, it has now been proved by mathematical induction that our formula holds for all natural n.
They would like to introduce mathematical induction, which would allow the computer to make inferences.
That's why mathematical induction does not apply to an uncountable set.
Here is another example of the use of calculations, due to Dijkstra, which deals with mathematical induction. Generally speaking, students are taught how to perform mathematical induction over the natural numbers.
Let k = k + 1; by using mathematical induction we may find
Mathematical Induction: A Powerful and Elegant Method of Proof

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