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Understanding Θ-notation

Posted: Sun Jan 06, 2013 9:03 pm
by arnob
$\frac{n^{3}}{1000}-100n^{2}-100n+3$ in terms of Θ-notation .... will it be just Θ($n^{3}$)

Re: Understanding Θ-notation

Posted: Sun Jan 06, 2013 10:46 pm
by *Mahi*
arnob wrote:$\frac{n^{3}}{1000}-100n^{2}-100n+3$ in terms of Θ-notation .... will it be just Θ($n^{3}$)
Yes.
An easy way to understand is if $f(n) = \frac{n^{3}}{1000}-100n^{2}-100n+3$ then $\lim _{n \rightarrow \infty }\frac {f(n)} {n^3} = 1$

Re: Understanding Θ-notation

Posted: Sun Jan 06, 2013 11:20 pm
by SANZEED
Er-can anyone give me a simple explanation about the notation here?
And Mahi vai,what is $x$?
:oops: :oops: :?

Re: Understanding Θ-notation

Posted: Sun Jan 06, 2013 11:29 pm
by *Mahi*
SANZEED wrote:Er-can anyone give me a simple explanation about the notation here?
And Mahi vai,what is $x$?
:oops: :oops: :?
That was a typo, edited now, thanks.
And this should be good enough.