Euler Function
Not what you're looking for?
(See attached file for full problem description)
---
We consider the special case when m=3 and n=5.
(a) Find the explicit function from the Chinese Remainder Theorem Chapter summary. (Recall that g is the inverse function of f.)
(b) Write down all ordered pairs (a,b) Є .
(c) Compute g(a,b) for each ordered pair in part (b), reducing each answer to its remainder modulo 15.
(d) Compare the list in part (c) with the integers modulo 15 which are relatively prime to 15.
Note: In this discussion will be the function defined in the chapter summary for the Chinese Remainder Theorem given by .
Note: g is defined as follows:
g:
Where is the multiplicative inverse of m1 modulo m2 and conversely.
Purchase this Solution
Solution Summary
This solution is comprised of a detailed explanation to find the explicit function from the Chinese Remainder Theorem Chapter summary.
Solution Preview
Please see the attachment.
(a) The following table shows the correspondence of the function by the Chinese Remainder Theorem.
...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability