Determine the range of given algorithm, Mathematics

Assignment Help:

The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.

(a) What is the range of f? Based on your answer, is f onto?

(b) Determine whether f a 1-1 function.

 


Related Discussions:- Determine the range of given algorithm

Example of infinite interval - improper integrals, Evaluate the subsequent ...

Evaluate the subsequent integral. Solution This is an innocent enough looking integral. Though, because infinity is not a real number we cannot just integrate as norm

How to introduce a child to the symbol for zero, A 'woman was trying to tea...

A 'woman was trying to teach her three-year-old child the numbers from 1to 5 from a children's book on numbers. Each number was illustrated by the same number of trees drawn next t

Evaluate following limits at infinity, Evaluate following limits. ...

Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc

Regression model, Consider the regression model  Y i = a + bX i + u i ,  ...

Consider the regression model  Y i = a + bX i + u i ,  where the  X i   are non-stochastic and the  u i   are independently and identically distributed with  E[u i ] = 0  and  va

Exponents, how to solve this question:(2x)5*(2x)-4*(2x)-3*(2x)6

how to solve this question:(2x)5*(2x)-4*(2x)-3*(2x)6

Learning to count in maths, Here we learn: 1) Discussed what counting me...

Here we learn: 1) Discussed what counting means, and stressed that it is not the ability to recite number names. 2) Talked about the need for a child to understand several pr

Numercial analysis and computer techniques, write FORTRAN programme to gene...

write FORTRAN programme to generate prime numbers between 1 and 100

Function and relation, how to know if it is function and if is relation

how to know if it is function and if is relation

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd