The notation f : ℕ → ℕ represents a function that maps natural numbers to natural numbers. A specific example of such a function is f(n) = n^2, where n is an element of the set of natural numbers. This notation is fundamental in mathematics, particularly in the study of functions and mappings within set theory. Understanding this concept is crucial for further exploration of mathematical functions and their properties.
PREREQUISITESStudents in mathematics courses, educators teaching mathematical concepts, and anyone interested in understanding functions and their applications in mathematics.
student34 said:Homework Statement
It is in some notes that I found online in an attempt to understand something else that I need to know for a math course.
Homework Equations
f : ℕ → ℕ
The Attempt at a Solution
It seems to mean that a function of some natural number will equal some other natural number such as n^2 where n is an element of the naturals. But I am not sure.
Dick said:Yes, it means f is a function that maps the natural numbers into the natural numbers. f(n)=n^2 is a fine example.