Përdoruesi:Armend/nënfaqe: Dallime mes rishikimesh

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Rreshti 90:
 
that <math>k\in\{pm,pm+s,pm+2s,...\},</math>
==trace of sequences==
Trace of sequence
Denote by the set of natural numbers and by the set of natural numbers lesser than given natural number m. Lets a m-sequence of natural numbers and the greatest term of sequence c then the sequence
 
 
where denote number of terms of sequence c thats are equal at j, is called trace of c. Is clear that terms of trace fulfills the conditions
 
 
Denote by
 
 
1. The set of sequences is called bracelet of sequences and for each sequence c from B holds
 
Because
 
2. The set of sequences is called ring of sequences and for each sequence c from R holds
 
Because
 
 
The set is called black hole because for each finite sequence a of natural numbers exists natural number n such that in other words each sequence converges to H.
Sequence a is of type B if its converge to H from B for example sequence (2,3) is of type B because
 
 
And sequences that converges to H from R are of type R for example the sequence (0) is of type R because
 
 
We can see that all sequences thats follow (0) are of type R. My question is how to decide of which type is any given finite sequence of natural numbers, can be done any programme or algorithme. Thanks