Abstract In Islam, the criterion of moral values and virtues is belief and disbelief. Although this criterion seems completely clear and self-evident, there have always been ambiguities in it throughout history and it has become the basis for the emergence of schools of thought and belief and deviations in thought and practice. Because religion includes beliefs, morals, and rules, and each of the rules includes personal, social, and family rules. Therefore, it is necessary for every Muslim to have faith in all the content of religion, and what is necessary for his faith is behavior and action.

In this work, we study a data visualization problem which is classified in the field of shape-preserving interpolation. When   function  is known to be BOUNDed, then it is  natural to expect its interpolant to adhere BOUNDedness. Two spline-based techniques are proposed to handle this kind of problem. The proposed methods   use quadratic splines as basis and involve solving a linear programming or a mixed integer linear  programming problem which gives $C^1$ interpolants. An energy minimization technique is employed to gain the optimal smooth solution. The reliability  and  applicability of  the proposed techniques  have been illustrated through examples.

In this paper, the problem of scheduling jobs with non-identical sizes has been studied on a single-batch processing machine, in order to minimize the makespan. Using new lower BOUNDs, a branch and BOUND algorithm has been proposed to solve the problem. In this algorithm, two new methods have been used to generate lower BOUNDs and results have been compared with the existing lower BOUND in literature. In order to evaluate the performance of the proposed method, test problems have been randomly generated and branch and BOUND algorithm has been tested with different lower BOUNDs on these cases. Findings indicated that when the size of the jobs is large compared to the capacity of the machine, the branch and BOUND algorithm with the new lower BOUND has the best performance. When the size of the jobs is small compared to the capacity of the machine (up to half the capacity of the machine), the algorithm with existing lower BOUND has better performance. In addition, when the size of the jobs is neither large nor small, the lower BOUNDs provide the best performance. Introduction: Based on predictions, services are a key component of the growth of the global economy in future (Arnold et al. 2011). Acording to Jane and Kumar (2012), services play a critical role in a supply chain. Also, according to Wang et al. (2015), a "product" or "service" must exist in each supply chain which is produced by the upstream sectors and delivered to downstream. Recently due to increasing customer expectations, companies’ competition has been replaced by the supply chains competition and as a result, competition has been increased in the simultaneous supply of products and services. This has led to challenges in integrating companies and in coordinating the materials, information and financial flow that were previously overlooked. Accordingly, a new managerial philosophy has been developed known as Product-Service Supply Chain (PSSC) (Stanley & Wisner, 2002). This study seeks to develop a performance evaluation model for the product-service supply chain in the home appliance industry, which is finally solved using Adaptive Neuro-Fuzzy Inference System (ANFIS). Design/Approach: In this paper, performance evaluation constructs and criteria of service supply chain are identified by reviewing the literature and exploratory and confirmatory factor analysis and then, the performance evaluation of service supply chains in Iran's home appliance industry has been performed using these constructs, criteria and ANFIS. Findings and Discussion: Based on the findings, ten main extracted constructs can be suggested for the performance evaluation of the supply chain. They include "Operational Performance (OP)", "Strategic Performance (SP)", "Financial Performance (FP)", "Performance of Information and Communication Technology (PICT)", “ Return Performance” (REP), “ Risk Performance (RIP)” , “ Logistic Performance (LP)” , “ Market Performance (MP)” , “ Internal Structure Performance (PIS)” and “ Growth and Innovation Performance (PGI)” , among which, the Strategic Performance (SP) and Return Performance (REP) are the most important and the least important constructs, respectively. Conclusions Based on the findings, the following practical recommendations are suggested to the companies: · Enhancing the demand forecasts performance and utilizing more appropriate methods and software to improve forecasts in demand and order management areas. · Improving the return management status by increased attention and more investment in return management processes. · Effective investment in service development management to enhance the R&D services performance. · Utilizing risk management approaches and methods to identify and take preventive actions on the risks in the companies’ service supply chain.

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The BOUND state of exotic gluons with a thermal background in the framework of the projective unitary representation in the physics model at high energy interactions has been investigated. The ground and excited states of gluonic systems to describe the temperature effect of the mass spectrum have been defined. The problem of calculating the mass spectrum of coupled states based on the QFT in its broadest sense is a technique, to detect and obtain reasonable objectives and goals. The aim of this paper is to present the possible use of symplectic space in Femto-dimensional BOUND states at a finite temperature within strong interaction. The results can be used for describing nonzero and zero temperature mass spectra of mesons and multigluon-BOUND states. The problem of determining coupled state masses based on the polarization function is examined in detail. The Hamiltonian of the interaction and the structure of the BOUND state with the Schrödinger equation within the color-confining potential and Debye mass at finite temperature is presented and then the mass spectrum of a glueball at high energy interaction is determined. The mass spectrum of a two-gluon coupled state is calculated. The results are presented in the figures and table.

Based on the description of the real structure of our conception of the world, P. F. Strawson's descriptive metaphysics, similar to Kant's empirical Realism, deals with determining the limitations of empirical knowledge of the world. In this case, Kant's transcendental Idealism seems to be an incoherent doctrine which can yield a skepticism which the critical philosophy seeks to solve. Strawson rejects Kant's Transcendental Idealism in that it considers two limits, which leads to the paradox of delimitation. Yet, the question is: Can Strawson's descriptive metaphysics depict the limitations of our knowledge without considering both limits? It seems that he has adopted a language that chains us to some metaphysical constraint, which is opposed to the sketch of the descriptive metaphysics. Thus, he is engaged in the same paradox which he discovered in Kant. It seems that thinking on the limit is essentially paradoxical; so skepticism can not be solved by appealing to it.

For a graph G = (V, E), a triple Roman dominating function (3RD-function) is a function f: V →, {0,1,2,3,4} having the property that (i) if f(v) = 0 then v must have either one neighbor u with f(u) = 4, or two neighbors u, w with f(u) + f(w) ≥,5 or three neighbors u, w,z with f(u) = f(w) = f(z) = 2, (ii) if f(v) = 1 then v must have one neighbor u with f(u) ≥,3 or two neighbors u, w with f(u) = f(w) = 2, and (iii) if f(v) = 2 then v must have one neighbor u with f(u) ≥,2. The weight of a 3RDF f is the sum f(V ) = ∑,v, v f(v), and the minimum weight of a 3RD-function on G is the triple Roman domination number of G, denoted by ɤ,[3R](G). In this paper, we prove that for any connected graph G of order n with minimum degree at least two, ɤ,[3R](G) ≥,3n/2.

Some verses in the Holy Quran have been revealed commemorating the holy Prophet’s (p.b.u.h.) household. Hazrate Zahra (p.b.u.h.), the Prophet’s daughter, is a member of the holy Prophet’s (p.b.u.h.) household according to his statement, “She belongs to the Prophet’s household”, following the revelation of Tathir Verse (Ahzab, 33). Therefore, some of the Quranic verses are about Hazrate Fatima (p.b.u.h.) and her family. This research work probes into the relationship between the Quran and Hazrate Zahra (p.b.u.h.) using the interpretations and narrations. There is a description of the Holy Quran in her highly eloquent sermon which is considered her viewpoint about this Holy Book. The Holy Quran consolidates the standing of her Excellency and she describes the status of the Divine Book.

‎In 2021, a novel degree-based topological index was introduced by Gutman, called the  Sombor index. Recently Kulli and Gutman introduced a vertex-edge variant of the Sombor index, is caled KG-Sombor index. In this paper, we establish lower BOUND on the KG-Sombor index and determine the extremal trees achieve this BOUND.