Sentences with MATHEMATICAL-INDUCTION
Check out our example sentences below to help you understand the context.Sentences
1
"In mathematical induction, we prove that a statement holds for an initial case, and then show that if it holds for any particular case, it must also hold for the next case."
2
"To use mathematical induction, we first prove the base case."
3
"The principle of mathematical induction is often used in proofs involving natural numbers."
4
"One of the fundamental steps in mathematical induction is to establish the base case."
5
"The concept of mathematical induction dates back to ancient Greece."
6
"The principle of mathematical induction can be extended to prove statements about other well-ordered sets."
7
"The use of mathematical induction can greatly simplify complex mathematical proofs."
1
"The concept of mathematical induction was first introduced by the mathematician Blaise Pascal."
2
"To prove the statement using mathematical induction, we must first establish the base case."
3
"The principle of mathematical induction is based on the idea of infinite descent."
4
"By using mathematical induction, we can prove that the sum of the first n natural numbers is n(n+1)/2."
5
"Understanding the principle of mathematical induction is essential in studying discrete mathematics."
6
"The process of mathematical induction involves two steps: the base case and the inductive step."
7
"Many mathematical theorems can be proven using a combination of direct proof and mathematical induction."
