Help with Combinatorics
What are consistently dominated sequences? (with sufficient examples)
Re: Help with Combinatorics
This is not a common mathematical phrase. What is the context of its usage?
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
Re: Help with Combinatorics
I found it in "Combinatorics" by Marcusnayel wrote:This is not a common mathematical phrase. What is the context of its usage?
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sakibtanvir
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Re: Help with Combinatorics
Look at the following examples,since you are reading Marcus I don't think you will have any problem understanding my languages.
Consider the string:$AABBABA$,Now what you have to do is to make some words cutting from the main string.If you want to cut a $n$ digit word from the main string always cut the word made by initial $n$ digits.Say $n=3$ then we take the blue colored word $AAB$$BABA$.Now we proceed for all values of $n$.(1,2,3,...7).
When,$n=1$ the word(actually letter!) is $A$ & contains one $A$.
$n=2$ the word is $AA$ & contains two $A$'s.
$n=3$,this case is already shown.
$n=4$ the word is $AABB$ and contains two $A$'s.
........
$n=7$ the word contains four $A$'s.Each time if the word build with $n$ initial digits contains $k$ A's then it follows the rule that $k \geq \frac{n}{2}$. That's why $AABBABA$ is called an $A$ dominated sequence.
Consider the string:$AABBABA$,Now what you have to do is to make some words cutting from the main string.If you want to cut a $n$ digit word from the main string always cut the word made by initial $n$ digits.Say $n=3$ then we take the blue colored word $AAB$$BABA$.Now we proceed for all values of $n$.(1,2,3,...7).
When,$n=1$ the word(actually letter!) is $A$ & contains one $A$.
$n=2$ the word is $AA$ & contains two $A$'s.
$n=3$,this case is already shown.
$n=4$ the word is $AABB$ and contains two $A$'s.
........
$n=7$ the word contains four $A$'s.Each time if the word build with $n$ initial digits contains $k$ A's then it follows the rule that $k \geq \frac{n}{2}$. That's why $AABBABA$ is called an $A$ dominated sequence.
An amount of certain opposition is a great help to a man.Kites rise against,not with,the wind.
Re: Help with Combinatorics
Thanks for your help.
Last edited by *Mahi* on Thu Feb 28, 2013 9:27 am, edited 1 time in total.
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