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- |flc(x) — x| |x|

- |flc(x) — x| |x|

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a floating point number (FPN) system with base b and k digits. Denote the floating point number associated with a real number x using the chopping rule by flc(x); let the rounding rule produce flr(x). Prove the following:

|ƒle(x) − x| |x| ≤ 6−(k-1) 9 | ƒ²₁(x) − x| ≤ 1/26 - (k-1) |flr(x) |x|
Transcribed Image Text:|ƒle(x) − x| |x| ≤ 6−(k-1) 9 | ƒ²₁(x) − x| ≤ 1/26 - (k-1) |flr(x) |x|
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