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...

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...

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...

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...

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

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...

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...

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...

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)...

{\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...

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

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...

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 )...

two subsets, with each edge having one endpoint in each subset. It follows from the same double counting argument that, in each subset, the sum of degrees...

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...

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...

{\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...

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...

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...

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 multiple of...

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...

there is a finite monochromatic subset S {\displaystyle S} of these integers such that ∑ n ∈ S 1 n = 1. {\displaystyle \sum _{n\in S}{\frac {1}{n}}=1.} In...

all finite subsets of A {\displaystyle A} directed by inclusion ⊆ {\displaystyle \subseteq } and x H := ∑ i ∈ H x i {\textstyle x_{H}:=\sum _{i\in H}x_{i}}...

They can also be finite, countably infinite, or uncountably infinite. A subset of the sample space is an event, denoted by E {\displaystyle E} . If the...

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...

instead be predicted as the sum of the effects each of these aspects has on the way they are treated. By contrast, King's multiple jeopardy overturned the...

arithmetic progression (or multiple arithmetic progression) is a generalization of an arithmetic progression equipped with multiple common differences – whereas...

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

numbers N {\displaystyle \mathbb {N} } is a subset of Z {\displaystyle \mathbb {Z} } , which in turn is a subset of the set of all rational numbers Q {\displaystyle...