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Induction

 - 7 dictionary results
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in⋅duc⋅tion

  [in-duhk-shuhn]
Use Induction in a Sentence
–noun
1. the act of inducing, bringing about, or causing: induction of the hypnotic state.
2. the act of inducting; introduction; initiation.
3. formal installation in an office, benefice, or the like.
4. Logic.
a. any form of reasoning in which the conclusion, though supported by the premises, does not follow from them necessarily.
b. the process of estimating the validity of observations of part of a class of facts as evidence for a proposition about the whole class.
c. a conclusion reached by this process.
5. Also called mathematical induction. Mathematics. a method of proving a given property true for a set of numbers by proving it true for 1 and then true for an arbitrary positive integer by assuming the property true for all previous positive integers and applying the principle of mathematical induction.
6. a presentation or bringing forward, as of facts or evidence.
7. Electricity, Magnetism. the process by which a body having electric or magnetic properties produces magnetism, an electric charge, or an electromotive force in a neighboring body without contact. Compare electromagnetic induction, electrostatic induction.
8. Embryology. the process or principle by which one part of the embryo influences the differentiation of another part.
9. Biochemistry. the synthesis of an enzyme in response to an increased concentration of its substrate in the cell.
10. an introductory unit in literary work, esp. in an early play; prelude or scene independent of the main performance but related to it.
11. Archaic. a preface.
Origin:
1350–1400; ME induccio(u)n < L inductiōn- (s. of inductiō). See induct, -ion

Related forms:
in⋅duc⋅tion⋅less, adjective
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
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in·duc·tion   (ĭn-dŭk'shən)   
n.  

    1. The act or an instance of inducting.

    2. A ceremony or formal act by which a person is inducted, as into office or military service.

    3. The generation of electromotive force in a closed circuit by a varying magnetic flux through the circuit.

    4. The charging of an isolated conducting object by momentarily grounding it while a charged body is nearby.

    5. The process of deriving general principles from particular facts or instances.

    6. A conclusion reached by this process.

    7. Medicine The inducing of labor, whereby labor is initiated artificially with drugs such as oxytocin.

    8. Medicine The administration of anesthetic agents and the establishment of a depth of anesthesia adequate for surgery.

    9. Biochemistry The process of initiating or increasing the production of an enzyme, as in genetic transcription.

    10. Embryology The process by which one part of an embryo causes adjacent tissues or parts to change form or shape, as by the diffusion of hormones or other chemicals.

  2. Electricity

    1. The generation of electromotive force in a closed circuit by a varying magnetic flux through the circuit.

    2. The charging of an isolated conducting object by momentarily grounding it while a charged body is nearby.

    3. The process of deriving general principles from particular facts or instances.

    4. A conclusion reached by this process.

    5. Medicine The inducing of labor, whereby labor is initiated artificially with drugs such as oxytocin.

    6. Medicine The administration of anesthetic agents and the establishment of a depth of anesthesia adequate for surgery.

    7. Biochemistry The process of initiating or increasing the production of an enzyme, as in genetic transcription.

    8. Embryology The process by which one part of an embryo causes adjacent tissues or parts to change form or shape, as by the diffusion of hormones or other chemicals.

  3. Logic

    1. The process of deriving general principles from particular facts or instances.

    2. A conclusion reached by this process.

    3. Medicine The inducing of labor, whereby labor is initiated artificially with drugs such as oxytocin.

    4. Medicine The administration of anesthetic agents and the establishment of a depth of anesthesia adequate for surgery.

    5. Biochemistry The process of initiating or increasing the production of an enzyme, as in genetic transcription.

    6. Embryology The process by which one part of an embryo causes adjacent tissues or parts to change form or shape, as by the diffusion of hormones or other chemicals.

  4. Mathematics A two-part method of proving a theorem involving an integral parameter. First the theorem is verified for the smallest admissible value of the integer. Then it is proven that if the theorem is true for any value of the integer, it is true for the next greater value. The final proof contains the two parts.

  5. The act or process of inducing or bringing about, as:

    1. Medicine The inducing of labor, whereby labor is initiated artificially with drugs such as oxytocin.

    2. Medicine The administration of anesthetic agents and the establishment of a depth of anesthesia adequate for surgery.

    3. Biochemistry The process of initiating or increasing the production of an enzyme, as in genetic transcription.

    4. Embryology The process by which one part of an embryo causes adjacent tissues or parts to change form or shape, as by the diffusion of hormones or other chemicals.

  6. Presentation of material, such as facts or evidence, in support of an argument or proposition.

  7. A preface or prologue, especially to an early English play.

The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Cultural Dictionary

induction

A process of reasoning that moves from specific instances to predict general principles. (Compare deduction.)


induction

An effect in electrical systems in which electrical currents store energy temporarily in magnetic fields before that energy is returned to the circuit.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Cite This Source
Medical Dictionary

Main Entry: in·duc·tion
Pronunciation: in-'d&k-sh&n
Function: noun
1 : the act of causing or bringing on or about<induction of labor>; specifically : the establishment of the initial state of anesthesia often with an agent other than that used subsequently to maintain the anestheticstate
2 : the process by which an electrical conductor becomes electrified when near a charged body, by which a magnetizable body becomes magnetized when in a magnetic field or inthe magnetic flux set up by a magnetomotive force, or by which an electromotive force is produced in a circuit by varying the magnetic field linked with the circuit
3 a : arousalof a part or area (as of the retina) by stimulation of an adjacent part or area b : the sum of the processes by which the fate of embryonic cells is determined and morphogeneticdifferentiation brought about —in·duct /in-'d&kt/ transitive verb
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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Medical Dictionary

induction in·duc·tion (ĭn-dŭk'shən)
n.

  1. The process of initiating or increasing the production of an enzyme or other protein at the level of genetic transcription.

  2. The period from the first administration of anesthesia to the establishment of a depth of anesthesia adequate for surgery.

  3. The change in form or shape caused by the action of one tissue of an embryo on adjacent tissues or parts, as by the diffusion of hormones.

  4. A modification imposed upon the offspring by the action of environment on the germ cells of one or both parents.

  5. The generation of electromotive force in a closed circuit by a varying magnetic flux through the circuit.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.
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Computing Dictionary

induction logic
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.)
(1999-12-09)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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