Tag: machine epsilon

In the previous blog post, we answered

• Question 1 of 5 “What is machine epsilon?”

Here we answer the next question.

Future posts will answer these questions
Question 3 of 5: How is machine epsilon related to the number of bits used to represent a floating point number?
Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?
Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?
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This post is brought to you by

• Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com,
• the textbook on Numerical Methods with Applications available from the lulu storefront,
• the textbook on Introduction to Programming Concepts Using MATLAB, and
• the Massive Open Online Course (MOOC) available at http://udemy.com/numericalmethodsguy

Future posts will answer these questions

Question  2 of 5: How do I find the machine epsilon using a MATLAB code?Question 3 of 5: How is machine epsilon related to the number of bits used to represent a floating point number?Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?________________________

This post is brought to you by

• Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com,
• the textbook on Numerical Methods with Applications available from the lulu storefront,
• the textbook on Introduction to Programming Concepts Using MATLAB, and
• the Massive Open Online Course (MOOC) available at http://udemy.com/numericalmethodsguy