What does mathematical induction mean?
Definitions for mathematical induction
math·e·mat·i·cal in·duc·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word mathematical induction.
Wikipedia
Mathematical induction
Mathematical induction is a method for proving that a statement P ( n ) {\displaystyle P(n)} is true for every natural number n {\displaystyle n} , that is, that the infinitely many cases P ( 0 ) , P ( 1 ) , P ( 2 ) , P ( 3 ) , … {\displaystyle P(0),P(1),P(2),P(3),\dots } all hold.
Wikidata
Mathematical induction
Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is a form of direct proof, and it is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number. From these two steps, mathematical induction is the rule from which we infer that the given statement is established for all natural numbers. The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction, in some form, is the foundation of all correctness proofs for computer programs. Although its name may suggest otherwise, mathematical induction should not be misconstrued as a form of inductive reasoning. Mathematical induction is an inference rule used in proofs.
Numerology
Chaldean Numerology
The numerical value of mathematical induction in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of mathematical induction in Pythagorean Numerology is: 8
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"mathematical induction." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/mathematical+induction>.
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