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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 of integers and a target-sum , and the question is to decide whether any subset of the integers sum to precisely . [1] The problem is known to be NP-complete.
Pythran compiles a subset of Python 3 to C++ . [165] RPython can be compiled to C, and is used to build the PyPy interpreter of Python. The Python → 11l → C++ transpiler [166] compiles a subset of Python 3 to C++ . Specialized: MyHDL is a Python-based hardware description language (HDL), that converts MyHDL code to Verilog or VHDL code.
In Python, functions are first-class objects that can be created and passed around dynamically. Python's limited support for anonymous functions is the lambda construct. An example is the anonymous function which squares its input, called with the argument of 5:
The indicator function of A is the Iverson bracket of the property of belonging to A; that is, = [ ] . For example, the Dirichlet function is the indicator function of the rational numbers as a subset of the real numbers.
In this poset, 60 is an upper bound (though not a least upper bound) of the subset {,,,}, which does not have any lower bound (since 1 is not in the poset); on the other hand 2 is a lower bound of the subset of powers of 2, which does not have any upper bound. If the number 0 is included, this will be the greatest element, since this is a ...
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 ...
An indicator function or a characteristic function of a subset A of a set S with the cardinality | S | = n is a function from S to the two-element set {0, 1}, denoted as I A : S → {0, 1}, and it indicates whether an element of S belongs to A or not; If x in S belongs to A, then I A (x) = 1, and 0 otherwise.
A set function generally aims to measure subsets in some way. Measures are typical examples of "measuring" set functions. Therefore, the term "set function" is often used for avoiding confusion between the mathematical meaning of "measure" and its common language meaning.