meaning of induction

1. The act or process of inducting or bringing in; introduction; entrance; beginning; commencement.
2. An introduction or introductory scene, as to a play; a preface; a prologue.
3. The act or process of reasoning from a part to a whole, from particulars to generals, or from the individual to the universal; also, the result or inference so reached.
4. The introduction of a clergyman into a benefice, or of an official into a office, with appropriate acts or ceremonies; the giving actual possession of an ecclesiastical living or its temporalities.
5. A process of demonstration in which a general truth is gathered from an examination of particular cases, one of which is known to be true, the examination being so conducted that each case is made to depend on the preceding one; -- called also successive induction.
6. The property by which one body, having electrical or magnetic polarity, causes or induces it in another body without direct contact; an impress of electrical or magnetic force or condition from one body on another without actual contact.
7. 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 => Pt THEN Ps 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.
8. an act that sets in motion some course of events

Related Words

induction | induction accelerator | induction coil | induction heating | induction of labor | inductional |

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