aimz1 - AIMS Exercise Set # 1 Peter J. Olver 1. Determine...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
AIMS Exercise Set # 1 Peter J. Olver 1. Determine the form of the single precision Foating point arithmetic used in the computers at AIMS. What is the largest number that can be accurately represented? What is the smallest positive number n 1 ? The second smallest positive number n 2 ? Which is larger: the gap between n 1 and 0 or the gap betweeen n 1 and n 2 ? Discuss. 2. Determine the value of each of the following quantities using 4 digit rounding and four digit chopping arithmetic. ±ind the abolute and relative errors of your approximation. ( a ) π + e - cos 22 , ( b ) e π - π e log 10 11 . 3. ( a ) To how many signi²cant decimal digits do the numbers 10002 and 10001 agree? ( b ) Subtract the two numbers. How many signi²cant decimal digits are lost in the computation? ( c ) How might you rearrange the computation to obtain a more accurate answer. 4. ( a ) Verify that f ( x ) = 1 - sin x and g ( x ) = cos 2 x 1 + sin x are identical functions. (
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/10/2012 for the course MATH 5485 taught by Professor Olver during the Fall '09 term at University of Central Florida.

Page1 / 2

aimz1 - AIMS Exercise Set # 1 Peter J. Olver 1. Determine...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online