Spiritual Intelligence and Its Relation to Depression Among Eleventh and Twelfth Grades Students of Nizwa in Sultanate of Oman: الذكاء الروحي وعلاقته بالاكتئاب لدى طلبة الصفين الحادي عشر والثاني عشر في ولاية نزوى بسلطنة عمان

This study aimed at addressing the relationship between the spiritual intelligence and depression for eleventh and twelfth grades students of Nizwa in Ad-Dakhiliyah Governorate. The study sample included (350) male and female students chosen randomly. The researcher used “King” inventory (2008) of spiritual intelligence translated by Al-Kiumi and Al-Furaisiyah (2018), and the inventory of Arabic depression list for children made by Abdul-Khaliq (1991). The researcher used the descriptive correlative approach. The results showed a high level of spiritual intelligence and low level of depression among the study sample students. There were also statistically significant differences in the level of spiritual intelligence in favor of females, and there was no significant difference in the level of depression except for the dimensions of (lack of focus and pessimism, and self-hatred) in favor of males. The study concluded that spiritual intelligence contributes to reduction of depression by (23.9%). 1. The researchers recommended a set of recommendations, the most important of which are: the use of the depression reduction equation reached by the research, when building counseling programs, and developing spiritual intelligence through curricula and teaching to protect students from depression.

Lie symmetries, exact solutions and conservation laws of the Oskolkov–Benjamin–Bona–Mahony–Burgers equation

In this paper, the Oskolkov–Benjamin–Bona–Mahony–Burgers (OBBMB) equation has been investigated by Lie symmetry analysis. Lie group analysis method is implemented to derive the vector fields and symmetry reductions. The OBBMB equation has been reduced into nonlinear ordinary differential equation (ODE) by exploiting symmetry reduction method. Using the similarity reduction equation, the exact solutions are obtained by extended [Formula: see text]-method. Finally, the new conservation theorem proposed by Ibragimov has been utilized to construct the conservation laws of the aforesaid equation.

A Study on Crack Depth Measurement in Steel Structures Using Image-Based Intensity Differences

This paper seeks to propose an image-based noncontact testing method in crack depth measurement. To this end, it predicted the crack depth using the intensity values of cracks and verified its validity. To analyze the intensity values of cracks, eight stainless steel specimens with an increase in crack depths ranging from 0 to 17.5 mm at an average of 2.5 mm were fabricated, and a contrast index was attached to the center of the crack of the specimens painted with black matte spray for accurate analysis. Through various experiments, it was found that the intensity values of the cracks which decrease with the depth of the cracks were inductively formulated, and the average error was about 15% when the crack depth predicted by the empirical equation was compared with the actual crack depth. In addition, the validation of the intensity reduction equation obtained by the inductive method was verified, and it was confirmed that the crack depth can be predicted by the intensity value of the crack.

New Exact Solutions and Localized Excitations in a (2+1)-Dimensional Soliton System

Starting from a special conditional similarity reduction method, we obtain the reduction equation of the (2+1)-dimensional dispersive long-water wave system. Based on the reduction equation, some new exact solutions and abundant localized excitations are obtained.

Harmonic Maps and Morphisms from Multilinear Norm-Preserving Mappings

We extend the notion of orthogonal multiplication to multilinear norm-preserving mapping, using them to construct new eigenmaps into spheres. We characterize those which are harmonic morphisms. By the method of reduction we construct interesting families of harmonic morphisms into S2 from the product manifolds H2 × S3 and S3 × S3 of hyperbolic spaces and spheres. The corresponding reduction equation depends on two independent variables. We are able to solve the first-order horizontal conformality problem explicitly in terms of elliptic functions and then render the map harmonic by a conformal deformation of the metric.