In`duc´tion

Noun | 1. | induction - a formal entry into an organization or position or office; "his initiation into the club"; "he was ordered to report for induction into the army"; "he gave a speech as part of his installation into the hall of fame" |

2. | induction - an electrical phenomenon whereby an electromotive force (EMF) is generated in a closed circuit by a change in the flow of current | |

3. | induction - reasoning from detailed facts to general principles | |

4. | induction - the process whereby changes in the current flow in a circuit produce magnetism or an EMF | |

5. | induction - stimulation that calls up (draws forth) a particular class of behaviors; "the elicitation of his testimony was not easy" | |

6. | induction - (physics) a property of an electric circuit by which an electromotive force is induced in it by a variation of currentSynonyms: inductance | |

7. | induction - the act of bringing about something (especially at an early time); "the induction of an anesthetic state" | |

8. | induction - an act that sets in motion some course of events |

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.

(logic) | induction - A method of proving statements about well-ordered sets. If S is a well-ordered set with ordering "<", and we
want to show that a property P holds for every element of S,
it is sufficient to show that, for all s in S,IF for all t in S, t < s => P(t) THEN P(s) I.e. if P holds for anything less than s then it holds for s. In this case we say P is proved by induction. The most common instance of proof by induction is induction over the natural numbers where we prove that some property holds for n=0 and that if it holds for n, it holds for n+1. (In fact it is sufficient for "<" to be a well-founded partial order on S, not necessarily a well-ordering of S.) |

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