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Large Scale and Big Data
book

Large Scale and Big Data

by Sherif Sakr, Mohamed Gaber
June 2014
Intermediate to advanced content levelIntermediate to advanced
636 pages
23h 13m
English
Auerbach Publications
Content preview from Large Scale and Big Data
424 Large Scale and Big Data
The count of 1s can remain the same when the ith element e
i
in the stream is not
inserted. Further, if the element is inserted, the count of 1s can still remain the same
if a 0 bit is selected to be set to 1 and a 1 bit is reset to 0 during deletion. Also, if the
bit to be set to 1 is already set and that to be reset is already 0, the count of 1s remain
constant. Hence,
Pr() ()
()
()
λ
λλ
λλ
=− +
−+
+
1
1
22
pp
s
s
s
s
ii
(13.13)
Similarly, the count increases by one if a 0 bit is set to 1 and during deletion a 0
bit is selected.
Pr()λ
λ
+=
1
2
p
s
s
i
(13.14)
Substituting Equations 13.12, 13.13, and 13.14 in Equation 13.11,
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Publisher Resources

ISBN: 9781466581500