Note that we can consider multiple sequences at the same time by using different variables; .
(
b
n
)
n
∈
N
{\displaystyle (b_{n})_{n\in \mathbb {N} }}
could be a different sequence than
(
a
n
)
n
∈
N
{\displaystyle (a_{n})_{n\in \mathbb {N} }}
. We can even consider a sequence of sequences:
(
(
a
m
,
n
)
n
∈
N
)
m
∈
N
{\displaystyle ((a_{m,n})_{n\in \mathbb {N} })_{m\in \mathbb {N} }}
denotes a sequence whose * m* th term is the sequence
(
a
m
,
n
)
n
∈
N
{\displaystyle (a_{m,n})_{n\in \mathbb {N} }}
.

Inventive Dance Competitions are held throughout the year to find new Modern Sequence Dances for you to learn. Below is a list of dance competitions which are open to the general public. At some events your entry ticket will include the opportunity to learn the winning dances within a few hours of them being released. Other events teach the new dances the following day, so if unsure please check with the competition organiser before attending. Further information regarding who to contact, ticket availability and venues are available by clicking on the specific competition event below. The results of each competition will be posted on this site following the event.

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Sequence clusters are often synonymous with (but not identical to) protein families . Determining a representative tertiary structure for each sequence cluster is the aim of many structural genomics initiatives.

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