Numerical comparison of merit function with filter criterion in inexact restoration algorithms using hard-spheres problems

Past research has shown that numbers are associated with order in time such that performance in a numerical comparison task is enhanced when number pairs appear in ascending order, when the larger number follows the smaller one. This was found in the past for the integers 1–9 ( Ben-Meir, Ganor-Stern, & Tzelgov, 2013 ; Müller & Schwarz, 2008 ). In the present study we explored whether the advantage for processing numbers in ascending order exists also for fractions and negative numbers. The results demonstrate this advantage for fraction pairs and for integer-fraction pairs. However, the opposite advantage for descending order was found for negative numbers and for positive-negative number pairs. These findings are interpreted in the context of embodied cognition approaches and current theories on the mental representation of fractions and negative numbers.

Download Full-text

Quantum effects in a system of Boltzmann hard spheres

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.2018.07.038399 ◽

2018 ◽

Vol 189 (06) ◽

pp. 659-664

Author(s):

Sergei M. Stishov

Keyword(s):

Hard Spheres ◽

Quantum Effects

Download Full-text

Comparison of Nonlinear Spatial Correlation Models by the Influence of the Data Augmentation to the Classification Risk

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2002.7.1.15200 ◽

2002 ◽

Vol 7 (1) ◽

pp. 31-42

Author(s):

J. Šaltytė ◽

K. Dučinskas

Keyword(s):

Spatial Correlation ◽

Random Fields ◽

Data Augmentation ◽

Gaussian Random Fields ◽

Classification Rule ◽

Numerical Comparison ◽

First Order ◽

Bayesian Risk ◽

Correlation Models

The Bayesian classification rule used for the classification of the observations of the (second-order) stationary Gaussian random fields with different means and common factorised covariance matrices is investigated. The influence of the observed data augmentation to the Bayesian risk is examined for three different nonlinear widely applicable spatial correlation models. The explicit expression of the Bayesian risk for the classification of augmented data is derived. Numerical comparison of these models by the variability of Bayesian risk in case of the first-order neighbourhood scheme is performed.

Download Full-text

Numerical Comparison of Drag Coefficient between Nacelle Lip-Skin with and without Bias Acoustic Liner

International Review of Mechanical Engineering (IREME) ◽

10.15866/ireme.v10i6.9427 ◽

2016 ◽

Vol 10 (6) ◽

pp. 390 ◽

Cited By ~ 2

Author(s):

Qummare Azam ◽

Mohd Azmi Ismail ◽

Nurul Musfirah Mazlan ◽

Musavir Bashir

Keyword(s):

Drag Coefficient ◽

Numerical Comparison ◽

Acoustic Liner

Download Full-text

Quantum-chemical analysis of small silver clusters

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19871652 ◽

1987 ◽

Vol 52 (7) ◽

pp. 1652-1657 ◽

Cited By ~ 2

Author(s):

Grigorii V. Gadiyak ◽

Yurii N. Morokov ◽

Mojmír Tomášek

Keyword(s):

Hard Spheres ◽

Electronic Configuration ◽

Close Packing ◽

Basis Sets ◽

Silver Clusters ◽

Quantum Chemical Analysis ◽

Spin Distribution ◽

Spin Polarized ◽

Atomic Silver ◽

Equilibrium Geometries

Total energy calculations of three- and four-atomic silver clusters have been performed by the spin-polarized version of the CNDO/2 method to get the most stable equilibrium geometries, atomization energies, and charge and spin distribution on the atoms for three different basis sets: {s}, {sp}, and {spd}. When viewed from the equilateral triangle and square geometries, the last electronic configuration, i.e. the {spd} one, appears to be most stable with respect to the geometrical deformations considered. In this case, the behaviour of the atoms of both clusters resembles that of hard spheres (i.e. close-packing).

Download Full-text