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The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers and a target-sum T {\displaystyle T} , and the question is to decide whether any subset of the integers sum to precisely T {\displaystyle T} . [ 1 ]
The multiple subset sum problem is an optimization problem in computer science and operations research. It is a generalization of the subset sum problem. The input to the problem is a multiset of n integers and a positive integer m representing the number of subsets. The goal is to construct, from the input integers, some m subsets. The problem ...
Subspecies is abbreviated as subsp. or ssp. and the singular and plural forms are the same ("the subspecies is" or "the subspecies are"). In zoology , under the International Code of Zoological Nomenclature , the subspecies is the only taxonomic rank below that of species that can receive a name.
SSP is an abbreviation that may stand for: Arts and entertainment ... Subset sum problem, an NP-complete decision problem; Six-state protocol, ...
A is a subset of B (denoted ) and, conversely, B is a superset of A (denoted ). In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B.
Subspace, a particular subset of a parent space; A subset of a topological space endowed with the subspace topology; Linear subspace, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication
In linear algebra, the closure of a non-empty subset of a vector space (under vector-space operations, that is, addition and scalar multiplication) is the linear span of this subset. It is a vector space by the preceding general result, and it can be proved easily that is the set of linear combinations of elements of the subset.
Let be a family of subsets of the set and let be a distinguished element of set .Then suppose there is a predicate (,) that relates a subset to .Denote () to be the set of subsets from for which (,) is true and to be the set of subsets from for which (,) is false, Then () and are disjoint sets, so by the method of summation, the cardinalities are additive [1]