bluuebunny/crossref_metadata_2025_split huggingface dataset:
Repdigits as Euler functions of Lucas numbers
Authors: Bravo Jhon J. , Faye Bernadette , Luca Florian , Tall Amadou 
Published: September 2017

Abstract
We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
On the number of diamonds in the subgroup lattice of a finite abelian group
Authors: Fodor Dan Gregorian , Tărnăuceanu Marius 
Published: September 2017

Abstract
The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.
Flat local morphisms of rings with prescribed depth and dimension
Authors: Ionescu Cristodor 
Published: September 2017

Abstract
For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras
Authors: Zulfiqar Muhammad 
Published: September 2017

Abstract
The purpose of this paper is to initiate the concept of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebra and investigate some of their related properties. We also show that the relationship between n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra and the crisp subalgebra in BRK-algebra are discussed.
Cartesian composition and the problem of generalizing the MAC condition to quasi-multiautomata
Authors: Chvalina Jan , Kŕehlík Štěpán , Novák Michal 
Published: September 2017

Abstract
When we assume that the input-set of an automaton without output is a semihypergroup instead of a monoid, we talk about quasi-multiautomata. Even though cartesian composition of quasi-automata is a commonly used concept, the cartesian composition of quasi-multiautomata has not been successfully constructed yet. In our paper we show that the straightforward transfer of the deffinition into the multivariate context fails. We suggest two possible solutions of this problem.
Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Authors: Khan Asif R. , Pečarić Josip , Praljak Marjan 
Published: September 2017

Abstract
Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski-type bounds for the integral remainders of identities associated with the obtained inequalities.
Effect of internal state variables in thermoelasticity of microstretch bodies
Authors: Marin Marin , Vlase Sorin 
Published: September 2017

Abstract
First, we formulate the mixed initial boundary value problem in the theory of thermoelastic microstretch bodies having certain internal state variables. Then by using some approachable computing techniques and the known Gronwall's inequality we will prove that the presence of internal state variables do not influence the uniqueness of solution of the mixed problem.
Multiplicative hyperring of fractions and coprime hyperideals
Authors: Ameri R. , Kordi A. , Hoskova-Mayerova S. 
Published: September 2017

Abstract
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show some properties of them.
Weaker assumptions for convergence of extended block Kaczmarz and Jacobi projection algorithms
Authors: Carp Doina , Pomparău Ioana , Popa Constantin 
Published: September 2017

Abstract
Recent developments in the field of image reconstruction have given rise to the use of projective iterative methods, such as Kaczmarz and Jacobi, when solving inconsistent linear least squares problems. In this paper we try to generalize previous results concerning extended block versions of these two algorithms. We replace the inverse operator with the Moore-Penrose pseudoinverse and try to prove convergence under weaker assumptions. In order to accomplish this task, we show that these algorithms are special cases of a general iterative process for which convergence is already established.
Modules which are self-p-injective relative to projection invariant submodules
Authors: Kara Yeliz , Tercan Adnan 
Published: September 2017

Abstract
In this article, we focus on modules M such that every homomorphism from a projection invariant submodule of M to M can be lifted to M. Although such modules share some of the properties of PI -extending (i.e., every projection invariant submodule is essential in a direct summand) modules, it is shown that they form a substantially bigger class of modules.
On monodromy representation of period integrals associated to an algebraic curve with bi-degree (2,2)
Authors: Tanabé Susumu 
Published: September 2017

Abstract
We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1 × ℙ1. We calculate two differenent monodromy representations of period integrals for the affine variety X(2,2) obtained by the dual polyhedron mirror variety construction from Y. The first method that gives a full representation of the fundamental group of the complement to singular loci relies on the generalised Picard-Lefschetz theorem. The second method uses the analytic continuation of the Mellin-Barnes integrals that gives us a proper subgroup of the monodromy group. It turns out both representations admit a Hermitian quadratic invariant form that is given by a Gram matrix of a split generator of the derived category of coherent sheaves on on Y with respect to the Euler form.
Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions
Authors: Ahmad Bashir , Ntouyas Sotiris K. 
Published: September 2017

Abstract
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions. We apply endpoint theory, Krasnoselskii’s multi-valued fixed point theorem and Wegrzyk's fixed point theorem for generalized contractions. For the illustration of our results, we include examples.
Hypergroups associated with HX-groups
Authors: Corsini Piergiulio 
Published: September 2017

Abstract
We have already studied a correspondence between HX-groups and hypergroups. Now we extend this correspondence to semigroups of sub- sets of a group G (and to begin, we considered ℤ2 × ℤ3 as group G). Moreover these subsets can have non empty intersection, they can be contained, one in another one. One calculates the fuzzy grade and we find always ∂H = 1.
A note on composition (m, n)-hyperrings
Authors: Norouzi Morteza , Cristea Irina 
Published: September 2017

Abstract
Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings. Moreover we show that particular strong endomorphisms of (m, n)-hyperrings can determine the composition structure of a such (m, n)-hyperrings. Finally, the three isomorphism theorems are pre- sented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.
An Operator Extension of Čebyšev Inequality
Authors: Moradi Hamid Reza , Omidvar Mohsen Erfanian , Dragomir Silvestru Sever 
Published: September 2017

Abstract
Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))║} where A is a self-adjoint and compact operator on B(ℋ ), f, g ∈ C (sp (A)) continuous and non-negative functions and ø: B(ℋ ) → B(ℋ ) be a n-normalized bounded positive linear map. In addition, by using the concept of quadruple D-synchronous functions which is generalizes the concept of a pair of synchronous functions, we establish an inequality similar to čebyšev inequality.
Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative
Authors: Argyros Ioannis K. , George Santhosh 
Published: September 2017

Abstract
This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That restricts the applicability of the method. In this paper we extended the applicability of the sixth-order multi-step method by using only hypotheses on the first derivative of the operator involved. Our convergence conditions are weaker than the conditions used in earlier studies. Numerical examples where earlier results cannot be applied to solve equations but our results can be applied are also given in this study.
Concepts of Citizenship in Eastern and Western Europe
Authors: Oltay Edith 
Published: September 2017

AbstractThe classical meaning of citizenship evokes a nation-state with a well-defined territory for its nationals, where national identity and sovereignty play a key role. Global developments are challenging the traditional nation-state and open a new stage in the history of citizenship. Transnational citizenship involving dual and multiple citizenships has become more and more accepted in Europe. Numerous scholars envisaged a post-national development where the nation-state no longer plays a key role. While scholarly research tended to focus on developments in Western Europe, a dynamic development also took place in Eastern Europe following the collapse of communism. Dual citizenship was introduced in most Eastern European countries, but its purpose was to strengthen the nation by giving the ethnic kin abroad citizenship and non-resident voting rights. In Western Europe, the right of migrants to citizenship has been expanded throughout the years in the hope that this would result in their better integration into society. Eastern Europe and Western Europe operate with different concepts of citizenship because of their diverging historical traditions and current concerns. The concept of nation and who belong to the national community play a key role in the type of citizenship that they advocate.
Adaptation Strategies to Turkish Society of Europeans Married to Turkish Citizens
Authors: Gojkovic Turunz Nevena 
Published: September 2017

AbstractAccelerated and increasingly complex patterns of international migration are correlated with the emergence of various types of transnational families and an ever-rising number of culturally and ethnically mixed couples. Once a typical emigration country, Turkey has recently been established as a transit and receiving society, where numerous Europeans settle due to emotional ties with Turkish citizens. This paper is based on a qualitative study of 10 mixed European-Turkish families based in Istanbul, carried out through in-depth interviews. The paper is divided into three parts. First, it examines the social characteristics of the research participants. Second, it analyses the reactions of family and friends to the mixed relationship. Third, it discusses four adaptation strategies of foreign partners to Turkish society – namely, integration, assimilation, separation, and marginalization.
Privatizing Multi-subsidiary Public Firm in Location Model
Authors: Chen Jingliang , Shuai Jie 
Published: September 2017

AbstractThis paper examines a different way of privatization from existing literature. In a mixed duopoly Hotelling type model in which the public firm consists of multiple subsidiaries, instead of privatizing the public firm as its entirety, the government may privatize only one of the subsidiaries (for example the manufacturing subsidiary). We find that this kind of privatization always improves social welfare comparing to no privatization at all. And comparing to privatizing the public firm in its entirety, privatizing only the manufacturing subsidiary always results in larger consumer welfare and results in larger social welfare when transport cost or R&D cost is sufficiently large.
The functional role of exosome microRNAs in lung cancer
Authors: Li Jia , Gong Wenhuan , Zhu Wenfang , Shao Xinyu , Zhang Chunxia 
Published: September 2017

AbstractLung cancer causes the highest incidence and mortality rates of cancer disease worldwide. Despite obvious advances in lung cancer research, a better understanding of the disease is urgently needed to improve early detection and correct diagnoses. Exosomes are released from cancer cells and modulate cell-cell communication. Exosomes transfer a wide variety of molecules including microRNAs. MicroRNAs (miRNAs) are single-stranded, small noncoding RNAs that regulate gene expression. Accumulating evidence indicates that miRNA expression patterns represent the status of physiology and disease. The focus of this review is to provide an update on the progress of miRNAs of cancer-derived exosome as potential biomarkers for lung cancer.
Global decomposition of GL(3) Kloosterman sums and the spectral large sieve
Authors: Blomer Valentin , Buttcane Jack 
Published: September 2017

AbstractWe prove best-possible bounds for bilinear forms in Kloosterman sums forGL⁡(3)\operatorname{GL}(3)associated with the long Weyl element. As an application we derive a best-possible spectral large sieve inequality onGL⁡(3)\operatorname{GL}(3).
Drei Varianten des Paradoxons der Nicht-Existenz
Authors: Rami Dolf 
Published: September 2017

AbstractThe original version of the philosophical paradox of non-existence can be found in Plato’s dialogSophist. Different ancient and medieval philosophers discussed this problem and proposed their own solutions to it. As far as I know, the problem had no important impact on the discussions about the notion of existence in the early modern period between Descartes and Frege. Philosophical interest in the notion of existence in this period was mainly driven by discussions on the ontological argument for the existence of God. Meinong and Russell are responsible for a renaissance of this paradox in the 20th century. Russell shaped two new semantic versions of the paradox. In this paper, I will discuss and introduce three different versions of it. Firstly, the original version, which can be found in theSophist. Secondly, the two more recent and sophisticated semantic versions that concern the semantics of (a) general negative existential sentences like “Unicorns do not exist” and (b) singular negative existential sentences like “Pegasus does not exist”. Philosophical discussion of the paradox in the Analytic Tradition has mainly focused in the last decades on the version related to (b). Concerning the version related to (a), there is a general consensus that Russell convincingly solved it. However, I will show that Russell’s solution of this version of the paradox is problematic, and I will argue for an alternative uniform solution to both semantic versions of the paradox based on free logic.
„Republikanismus ist heute ein Rassismus für Intellektuelle“
Authors: Rancière Jacques , Christ Julia , Ogilvie Bertrand 
Published: September 2017

Abstract
In the following interview, Jacques Rancière discusses his political philosophy, explains central concepts of his thinking – such as equality – and positions himself in the field of contemporary political and social philosophy. For the first time ever, he comments at length on his complex relationship to the social sciences and thus gives an insight into a transformation of his thinking which at the moment situates the scenes of equality – and thus, politics – more in the domain of the visible than in the domain of the audible.
Neues zur Theorie des Gerechten Krieges: Die Wende zum Soldaten und Fragen der Kriegsmoral
Authors: Kallhoff Angela , Schulte-Umberg Thomas 
Published: September 2017

AbstractIn Just War Theory, the leading paradigm is a normative assessment of war among nation states. As an effect of that perspective, the duties and obligations of soldiers as well as the issues of culpability have received only very little attention. Recently, philosophers have questioned this restriction in order to discuss war ethics from a different angle. Research now focuses on the single soldier’s decisions on the battlefield and their moral assessment. This paper looks at the “criterion of liability” introduced by Jeff McMahan. It explains consequences of this new approach to war ethics, including the focus on reason-giving narratives. An interdisciplinary framework introduces recent historical findings on the single soldier’s “morality”. This paper argues that the shift of attention gives insight into the many facets of “morality” in the context of war.
The Effects of Orienting Instructions on Readers’ Ability to Recall Literal Information from Expository Texts
Authors: Alnajashi Sumyah 
Published: September 2017

AbstractThis study aimed to examine whether instructing readers to judge text information can impair or facilitate their ability to recall information from expository texts of different genres. Experiment One used four expository texts and examined three types of orienting instructions: To answer pre-text questions, to be prepared to answer questions after the reading the text, to be prepared to judge the knowledge introduced in the text. The results of the study indicated that the use of pre-text questions did not improve readers’ performance in a recall test; in fact, they impaired the readers’ overall recall ability. However, being forewarned that they would be asked to provide a judgment on the information contained within a passage after reading it did enhance the participants’ ability to recall information from expository texts. Experiment 2 used the same four expository texts and examined the relationship between text recall and participants’ judgement of text information with particular cognitive abilities. The results reveal variations in the patterns of correlations between recall and rating of the text and other cognitive factors across the different text genres. The outcomes and implications of this research are discussed in this paper.
Influence of Teachers Performance Appraisal Policy on Timeliness in Implementation of the curriculum in Public Secondary Schools in Kenya
Authors: Aloo Joash Okello , Ajowi Jack Odongo , Aloka Peter Jairo O. 
Published: September 2017

Abstract
The study investigated the influence of Teachers Performance Appraisal (TPA) policy on timeliness in the implementation of the curriculum in Public Secondary Schools in Kenya. The study adopted an Ex post facto design. Additionally, the study population consisted of 5450 teachers, 334 Principals, the TSC-County Director and 334 Deputy Principals of public secondary schools. Stratified random sampling technique was used to select 179 Principals and 179 Deputy Principals. Questionnaires were used to collect data from the Principals and Deputy Principals. Document analysis guide was used to collect data which was not readily obtained through questionnaires. Reliability of the instruments for data collection was tested by assessing the scale’s internal consistency using Crobanch’s alpha and reliability coefficient of at least 0.7 was achieved in all the sub-scales of the questionnaire. Validity was determined by experts in Educational Administration. Quantitative data from questionnaires was analyzed by using inferential statistics, for instance, Linear Regression analysis and Pearson Correlation. The study established that TPA policy had a positive significant influence on; timeliness in curriculum implementation (r=.604, p<.05), curriculum evaluation by teachers (r =.726, p<.05). The TPA was established to be a significant predictor of the timelines in curriculum implementation [F (1, 316) = 181.90, p < .05]. The study recommends that TSC should enforce TPA policy and use it as a tool for promoting and deploying teachers into leadership positions. The study recommends that the Ministry of Education should guide every school to come up with syllabus coverage monitoring tool that can be administered alongside TPA.
Computer Analysis of Glioma Transcriptome Profiling: Alternative Splicing Events
Authors: Babenko Vladimir N. , Gubanova Natalya V. , Bragin Anatoly O. , Chadaeva Irina V. , Vasiliev Gennady V. , Medvedeva Irina V. , Gaytan Alexey S. , Krivoshapkin Alexey L. , Orlov Yuriy L. 
Published: September 2017

AbstractHere we present the analysis of alternative splicing events on an example of glioblastoma cell culture samples using a set of computer tools in combination with database integration. The gene expression profiles of glioblastoma were obtained from cell culture samples of primary glioblastoma which were isolated and processed for RNA extraction. Transcriptome profiling of normal brain samples and glioblastoma were done by Illumina sequencing. The significant differentially expressed exon-level probes and their corresponding genes were identified using a combination of the splicing index method. Previous studies indicated that tumor-specific alternative splicing is important in the regulation of gene expression and corresponding protein functions during cancer development. Multiple alternative splicing transcripts have been identified as progression markers, including generalized splicing abnormalities and tumor- and stage-specific events. We used a set of computer tools which were recently applied to analysis of gene expression in laboratory animals to study differential splicing events. We found 69 transcripts that are differentially alternatively spliced. Three cancer-associated genes were considered in detail, in particular: APP (amyloid beta precursor protein), CASC4 (cancer susceptibility candidate 4) and TP53. Such alternative splicing opens new perspectives for cancer research.
Analysis and Design of Coherent Combining of two Q-Switched Fiber Laser in Mach-Zehnder Type Cavity
Authors: Nassiri Ali , Idrissi-Saba Hafida , Boulezhar Abdelkader 
Published: September 2017

Abstract
In this work, we have developed an analytical model of an actively Q-switched Ytterbium-doped fiber laser by using two coupled cavities with amplifying fibers in Mach–Zehnder interferometer configuration. This oscillator system provides high peak power and high energy nanosecond pulse. The pulse energy is almost twice the energy of an individual fiber laser with a combining efficiency goes up 99%. This concept brings some novel perspectives for scaling the high energy and high peak power of nanosecond pulse fiber laser.