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 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...

each class, we get the multiple-choice knapsack problem: If for each item the profit and weight are equal, we get the subset sum problem (often the corresponding...

knapsack problem is often used to refer specifically to the subset sum problem. The subset sum problem is one of Karp's 21 NP-complete problems. Knapsack...

Multiple-Input and Multiple-Output (MIMO) (/ˈmaɪmoʊ, ˈmiːmoʊ/) is a wireless technology that multiplies the capacity of a radio link using multiple transmit...

says that any multiset of 2n − 1 integers has a subset of size n the sum of whose elements is a multiple of n, but that the same is not true of multisets...

{\displaystyle 1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots =\sum _{n=1}^{\infty }{\frac {1}{n}}.} The divergence of the harmonic series was...

finite subset A 0 {\displaystyle A_{0}} of I {\displaystyle I} such that S − ∑ i ∈ A a i ∈ V  for every finite superset A ⊇ A 0 . {\displaystyle S-\sum _{i\in...

different definitions are common. 1.   A ⊂ B {\displaystyle A\subset B} may mean that A is a subset of B, and is possibly equal to B; that is, every element...

considers a set of statistical inferences simultaneously or estimates a subset of parameters selected based on the observed values. The larger the number...

{\displaystyle \sum _{b\in B}\left|x(b)\right|^{2}=\sup \sum _{n=1}^{N}\left|x(b_{n})\right|^{2}} the supremum being taken over all finite subsets of B. It follows...

least squares computes the unique line (or hyperplane) that minimizes the sum of squared differences between the true data and that line (or hyperplane)...

partitioning a multiset of numbers into a fixed number of subsets, such that the sums of the subsets are as similar as possible. It was first presented by...

interpretation: the left side sums the number of subsets of {1, ..., n} of sizes k = 0, 1, ..., n, giving the total number of subsets. (That is, the left side...

variance of Y. The expression above can be extended to a weighted sum of multiple variables: Var ⁡ ( ∑ i n a i X i ) = ∑ i = 1 n a i 2 Var ⁡ ( X i )...

In machine learning, feature selection is the process of selecting a subset of relevant features (variables, predictors) for use in model construction...

a finite subset of A, one can replace the unweighted cardinality |B| of B by the weighted cardinality ∑ a ∈ B w ( a ) . {\displaystyle \sum _{a\in B}w(a)...

phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). For instance, if X is used to denote the outcome...

Zermelo–Fraenkel set theory, the axiom of choice entails that non-measurable subsets of R {\displaystyle \mathbb {R} } exist. The notion of a non-measurable...

for the two-dimensional knapsack problem. The same is true for the multiple subset sum problem: the quasi-dominance relation should be: s quasi-dominates...

in X . {\displaystyle X.} The sum of a compact set and a closed set is closed. However, the sum of two closed subsets may fail to be closed (see this...

x ∈ B w ( x ) {\displaystyle w_{B}=\sum _{x\in B}w(x)} . There are two major flavors of algorithms for Multiple Instance Learning: instance-based and...

algebra, a linear subspace or vector subspace is a vector space that is a subset of some larger vector space. A linear subspace is usually simply called...

the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to...

mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as...

In mathematics, the infimum (abbreviated inf; pl.: infima) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the greatest...

widths. All widths are multiples of a basic "module". Each bar and space is 1 to 4 modules wide, and the symbols are fixed width: the sum of the widths of the...

\right\|={\sqrt {\sum _{j=1}^{L}(p(j)-m_{i}(j))^{2}}}} . Due to the stochastic nature of context, it is almost never the case in multiple trace theory that...

A005835 (Pseudoperfect (or semiperfect) numbers n: some subset of the proper divisors of n sums to n.)". The On-Line Encyclopedia of Integer Sequences...

Multiple dispatch or multimethods is a feature of some programming languages in which a function or method can be dynamically dispatched based on the run-time...