MATHEMATICAL INDUCTION
(noun)Definitions
There is 1 meaning of the phrase
Mathematical Induction.
Mathematical Induction - as a noun
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.
Example: "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."
Example Sentences
"The concept of mathematical induction was first introduced by the mathematician Blaise Pascal."
"To prove the statement using mathematical induction, we must first establish the base case."
"The principle of mathematical induction is based on the idea of infinite descent."
"By using mathematical induction, we can prove that the sum of the first n natural numbers is n(n+1)/2."
"Understanding the principle of mathematical induction is essential in studying discrete mathematics."
