Big-Omega Notation. Definition: Let f and g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f(x) is 2(g(x)) if there are constants C and k such that |f (x)| > C|g(x)| when x> k. We say that "f(x) is big-Omega of g(x)." N is the upper case version of the lower case Greek letter w.s Big-O gives an upper bound on the growth of a function, while Big-Omega gives a lower bound. Big-Omega tells us that a function grows at least as fast as another. f(x) is N(g(x)) if and only if g(x) is Olf(x)). This follows from the definitions. See the text for details.

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
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Prove that the statement in the last two lines 

Big-Omega Notation,
Definition: Let f and g be functions from the set of integers or
the set of real numbers to the set of real
numbers. We say that f(x) is 2(8(x))
if there are constants Cand k such that
|f (x)| > C|g(x)| when x > k.
We say that "f(x) is big-Omega of g(x)."
N is the upper case
version of the lower
case Greek letter w.s
Big-O gives an upper bound on the growth of a function, while
Big-Omega gives a lower bound. Big-Omega tells us that a
function grows at least as fast as another.
f(x) is Q(g(x)) if and only if g(x) is Olf(x)). This follows from the
definitions. See the text for details.
Transcribed Image Text:Big-Omega Notation, Definition: Let f and g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f(x) is 2(8(x)) if there are constants Cand k such that |f (x)| > C|g(x)| when x > k. We say that "f(x) is big-Omega of g(x)." N is the upper case version of the lower case Greek letter w.s Big-O gives an upper bound on the growth of a function, while Big-Omega gives a lower bound. Big-Omega tells us that a function grows at least as fast as another. f(x) is Q(g(x)) if and only if g(x) is Olf(x)). This follows from the definitions. See the text for details.
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