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In a category with a terminal object 1, binary coproducts (denoted by +), and binary products (denoted by ×), a list object over A can be defined as the initial algebra of the endofunctor that acts on objects by X ↦ 1 + (A × X) and on arrows by f ↦ [id 1,〈id A, f〉].
A network packet is the basic unit of data in a transport stream, and a transport stream is merely a sequence of packets. Each packet starts with a sync byte and a header, that may be followed with optional additional headers; the rest of the packet consists of payload.
The BDAV container with filename extension .MTS or .m2ts is also used in AVCHD format, which is a high-definition digital video camera recorder format. [13] AVCHD is a simpler form of the Blu-ray disc standard with just one video encoding algorithm and two audio encodings.
.m2ts, .mts BDA: 2004-08 Patent encumbered Yes Yes Yes With DVB [24] Needs multiple files [R] Needs multiple files [S] Video Object .vob DVD Forum: 1996-11 Patent encumbered Yes Yes Yes No No Needs multiple files [T] Enhanced VOB (EVO) .evo DVD Forum: 2006-03 Patent encumbered [25] Yes Yes Yes No No Needs multiple files [U] 3GPP (3GP) .3gp 3GPP ...
These objects are all different when viewed as multisets, although they are the same set, since they all consist of the same elements. As with sets, and in contrast to tuples , the order in which elements are listed does not matter in discriminating multisets, so { a , a , b } and { a , b , a } denote the same multiset.
If the data structure is instead viewed as a partition of a set, then the MakeSet operation enlarges the set by adding the new element, and it extends the existing partition by putting the new element into a new subset containing only the new element. In a disjoint-set forest, MakeSet initializes the node's parent pointer and the node's size or ...
The nested set model is a solution to that problem. An alternative solution is the expression of the hierarchy as a parent-child relation. Joe Celko called this the adjacency list model. If the hierarchy can have arbitrary depth, the adjacency list model does not allow the expression of operations such as comparing the contents of hierarchies ...
More generally, a collection of any sets whatsoever is called a family of sets, set family, or a set system. Additionally, a family of sets may be defined as a function from a set , known as the index set, to , in which case the sets of the family are indexed by members of . [1]