The compatibility of the pure power law infrared solution of QCD Dyson-Schwinger equations (DSE) and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is compatible with the DSE infrared solution with an exponent κ ∼ 0.53, measured using a technique that suppresses finite volume effects and allows to model these corrections...

Rough sets are efficient for data pre-processing in data mining. Matroids are based on linear algebra and graph theory, and have a variety of applications in many fields. Both rough sets and matroids are closely related to lattices. For a serial and transitive relation on a universe, the collection of all the regular sets of the generalized rough set is a lattice. In this paper, we use the latt...

In this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. In particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. Then we study fuzzy...

We describe a pilot study on the sonification of data from lattice Quantum Chromodynamics, a branch of computational physics. This data is basically 4-dimensional and discretized on a lattice. The implementation allows interactive navigation through the data via different interfaces. Two different sonification schemes have been applied, giving information on small regions of the lattice. In rea...

For generic 3D sampling, the Body Centered Cubic (BCC) lattice and the Face Centered Cubic (FCC) lattice are significantly superior to the traditionally popular Cartesian Cubic (CC) lattice. Motivated by the goal of high visual fidelity in the visualization community, this thesis investigates the relative perceptual merits of high quality reconstruction filters for CC, BCC, and FCC sampled data...

the aim of this paper is to introduce and study set- valued homomorphism on lattices and t-rough lattice with respect to a sublattice. this paper deals with t-rough set approach on the lattice theory. the result of this study contributes to, t-rough fuzzy set and approximation theory and proved in several papers. keywords: approximation space; lattice; prime ideal; rough ideal; t-rough set; set...

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law (q2)2κ solution of the Dyson-Schwinger equations. Using various lattice volumes, the infinite volume limit for the exponent κ is measured. Although, the results allow κ = 0.498− 0.525, the lattice data favours κ ∼ 0.52, which would imply a vanishing zer...

X-ray diffraction peak profile analysis was used to identify changes in the lattice distortions during isothermal aging of Fe-10Ni-7Mn (wt. %) maraging steel. Integral peak breadths were analyzed using classical Williamson-Hall equation taking the elastic anisotropy into account. It was found that substantial lattice distortions rise during precipitation hardening which depend strongly on the s...

The aim of this paper is to introduce and study set- valued homomorphism on lattices and T-rough lattice with respect to a sublattice. This paper deals with T-rough set approach on the lattice theory. The result of this study contributes to, T-rough fuzzy set and approximation theory and proved in several papers. Keywords: approximation space; lattice; prime ideal; rough ideal; T-rough set; set...

Wedefine a collection of language classes which are TxtEx-learnable (learnable in the limit from positive data). The learners map any data input to an element of a fixed lattice, and keep the least upper bound of all lattice elements thus obtained as the current hypothesis. Each element of the lattice is a grammar for a language, and the learner climbs the lattice searching for the right elemen...