Lets get some intuition of why this algorithm is correct by seeing what happens to the values of z at each iteration for n=5. Let k be the number of the iteration that is about to start, let zk be the value of z at the start of the kth iteration, and let it be the value of i prior to the start of the kth iteration. Complete the following table by giving the values of 23 and 24.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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(b) Now consider the following algorithm, which is claimed to also compute p(xo).
z = ani
for in-1 to 0 do
| z=z.xo+ai;
end
return z;
Lets get some intuition of why this algorithm is correct by seeing what happens to the values of z at
each iteration for n = 5. Let k be the number of the iteration that is about to start, let zk be the value of z
at the start of the kth iteration, and let it be the value of i prior to the start of the kth iteration. Complete
the following table by giving the values of z3 and 24.
k
ik
i not set
1
2 i₂=n-1
3
i3
4 i4
5 is
Zk
Z1 = an
Z2 = anxo+an-1
???
n-2
n-3 ???
n-4 Z5 = anxo+an_1x³+an_2x + an_3x0+ an−4
Transcribed Image Text:(b) Now consider the following algorithm, which is claimed to also compute p(xo). z = ani for in-1 to 0 do | z=z.xo+ai; end return z; Lets get some intuition of why this algorithm is correct by seeing what happens to the values of z at each iteration for n = 5. Let k be the number of the iteration that is about to start, let zk be the value of z at the start of the kth iteration, and let it be the value of i prior to the start of the kth iteration. Complete the following table by giving the values of z3 and 24. k ik i not set 1 2 i₂=n-1 3 i3 4 i4 5 is Zk Z1 = an Z2 = anxo+an-1 ??? n-2 n-3 ??? n-4 Z5 = anxo+an_1x³+an_2x + an_3x0+ an−4
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