A static dictionary is a data structure for storing subsets of a finite universe U , so that membership queries can be answered efficiently. We study this problem in a unit cost RAM model with word size Ω(log |U |), and show that for n-element subsets, constant worst case query time can be obtained using B +O(log log |U |) + o(n) bits of storage, where B = dlog2 (|U| n ) e is the minimum number...

In this paper, our purpose is twofold. Firstly, the tensor andresiduum operations on $L-$nested systems are introduced under thecondition of complete residuated lattice. Then we show that$L-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. Thus the new representation theorem of$L-$subsets on complete re...

Capital Deepening and Wage Differentials: Germany vs. US Capital deepening may affect the evolution of the wage differential between skilled and unskilled workers differently in countries with different labor market institutions. If labor market institutions raise the relative wage of unskilled workers in Germany, firms have incentives to invest relatively more into capital equipment complement...

the occurrence of genotype × environment (ge) interaction has led to the development of several stabilityparameters that can be used to estimate the stability of cultivar performance. repeatability of 20 parametric and non-parametric stability measures across years and yield subsets as well as their association with mean seed yield and interrelationship among them in safflower (carthamus tincto...

The growth function for a class of subsets C of a set X is defined by m’(N) = max {AC(F): F G X, IFI = N} , N = 1,2,. . . , where AC(F) = ({F n C: C E C}l, the number of possible sets obtained by intersecting an element of C with the set F. Sauer (1972) showed that if C forms a Vapnik-Chervonenkis class with dimension V(C), then V(C)-1 mC(N) < c 7 0 for N > V(C) 1. j=o The collection C of Eucli...

A static dictionary is a data structure storing subsets of a finite universe U , answering membership queries. We show that on a unit cost RAM with word size Θ(log |U |), a static dictionary for n-element sets with constant worst case query time can be obtained using B+O(log log |U |)+o(n) bits of storage, where B = dlog2 (|U| n )e is the minimum number of bits needed to represent all nelement ...