Sumfree subsets in cubes of arbitrary dimensionMathematics Sumfree subsets in cubes of arbitrary dimension BROWN UNIVERSITY Joseph H. Silverman KatzDaniel Jasonnot available.Katz, Daniel JasonDissertations & Theses - Gradworks
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Evaluate the expression of the sum (A.1)whereVis the volume of the crystal, and the sum runs on the whole reciprocal space with the indicated exclusion. The discrete sum in the reciprocal space is transformed as usual into V/(2π)3 times the corresponding integral ...
Zero-sum subsets in vector spaces over finite fields The Olson constant $mathcal{O}mkern-1mu L(mathbb{F}_{p}^{d})$ represents the minimum positive integer $t$ with the property that every subset $Asubset math... C Pohoata,D Zakharov - 《Algebra & Number Theory》 被引量: 0发表:...
For certain groups, those with a small prime factor of the form 3 k +2, we are able to give an asymptotic formula for the number of sum-free subsets of G . This extends a result of Lev, Luczak and Schoen who found such a formula in the case n even. 展开 ...
The elements of N are the players, and the non-empty subsets of N are the coalitions. Some additional basic concepts of n-person games are S-equivalence normalization, normalization, dominance, the core of a game, a stable set, the Shapley value, the bargaining set, and no-side-payments ...
However, this method holds value in data validation. If you're working on extensive data, selecting a random sample of cells for summing can help detect anomalies or errors. By extracting and summing cells from different areas of a spreadsheet, users can gain insight into different subsets of ...
We consider answers to questions like the following: How many sum-free subsets are there in a given abelian group G? What are its sum-free subsets of maximum cardinality? What is the maximum cardinality of these sum-free subsets? What does a typical sum-free subset of G look like?
Given an array of sizenn. How can we find sum of XOR sum of all subsets in better thanO(2n)O(2n)? For example considerarray=[1,4,5]array=[1,4,5] Answer = 1 + 4 + 5 + 1^4 + 1^5 + 4^5 + 1^4^5Answer = 1 + 4 + 5 + 1^4 + 1^5 + 4^5 + 1^4^5(here '...
A vertexi \in \mathcal {V}of an undirected graph is calledsimplicialif the subgraph induced by its neighbours is complete. A subset of vertices\mathcal {C} \subseteq \mathcal {V}that are fully connected, meaning that(i,j) \in \mathcal {E}for all pairs of (distinct) verticesi,j ...