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bn:01149136n
Noun Concept
Categories: Articles containing proofs, Articles with short description, Mathematical induction
EN
mathematical induction  Proof of mathematical induction  axiom of induction  Axiom schema of induction  base case
EN
A means of proving a theorem by showing that if it is true of any particular case, it is true of the next case in a series, and then showing that it is indeed true in one particular case. Open English WordNet
Definitions
Examples
Relations
Sources
EN
A means of proving a theorem by showing that if it is true of any particular case, it is true of the next case in a series, and then showing that it is indeed true in one particular case. Open English WordNet
Mathematical induction is a method for proving that a statement P {\displaystyle P} is true for every natural number n {\displaystyle n}, that is, that the infinitely many cases P, P, P, P, … {\displaystyle P,P,P,P,\dots }   all hold. Wikipedia
A method of proof in the field of mathematics Wikipedia Disambiguation
Form of mathematical proof Wikidata
EN
Next, we illustrate this process again, by using mathematical induction to give a proof of an important result, which is frequently used in algebra, calculus, probability and other topics. Open English WordNet
IS A
mathematical proof
HAS KIND
transfinite induction
DESCRIBED BY SOURCE
Otto's encyclopedia
DIFFERENT FROM
generalization
magnetic flux density
DISCOVERER OR INVENTOR
Bernoulli
Pascal
Euclid
Fermat
Plato
+2 relations
Open English WordNet
EN
mathematical induction
Wikipedia
EN
mathematical induction
Wikidata
EN
mathematical induction
Wikipedia Redirections
EN
axiom of induction, Axiom schema of induction, base case (induction), Basis step, by induction, complete induction, Course-of-values induction, course of values induction, Double induction, Induction, Mathematical, induction (math), induction hypothesis, Induction proof, induction step, Induction theorem, inductive analysis, inductive hypothesis, inductive proof, Inductive step, Math induction, Math induction proof, Mathematical Induction, Mathematical induction Proof, Mathematical Proof By Induction, Mathematical Proof Of Induction, method of induction, prefix induction, principle of induction, principle of mathematical induction, proof by induction, proof by mathematical induction, Proof Of Induction, Proof of mathematical induction, Proof Of Mathematical Induction, strong induction, Three forms of mathematical induction
Wikidata Alias
EN
base case, induction, natural number induction, proof by induction

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