Onto Discrete Math

Onto means that all the values in the receiving set range set will get hit by the function when it maps a value from the input set domain here both sets are defined as the natural numbers.

Onto discrete math. Discrete math one to one onto. That is all elements in b are used. It is not required that x be unique. Onto function could be explained by considering two sets set a and set b which consist of elements.

Discrete mathematics relations. Whenever sets are being discussed the relationship between the elements of the sets is the next thing that comes up. An onto function is such that for every element in the codomain there exists an element in domain which maps to it. Again this sounds confusing so let s consider the following.

A b is surjective onto if the image of f equals its range. A function f from a to b is called onto if for all b in b there is an a in a such that f a b. If for every element of b there is at least one or more than one element matching with a then the function is said to be onto function or surjective function. The function f may map one or more elements of x to the same element of y.

This means that for any y in b there exists some x in a such that y f x. Relations may exist between objects of the same set or between objects of two or more sets. In mathematics a function f from a set x to a set y is surjective also known as onto or a surjection if for every element y in the codomain y of f there is at least one element x in the domain x of f such that f x y.