Search results for: marriage theorem

Authors: H. Tédjini, Y. Meslem, B. Guesbaoui, A. Safa

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Flexible AC Transmission Systems (FACTS) are potentially becoming more flexible and more economical local controllers in the power system; and because of the high MVA ratings, it would be expensive to provide independent, equal, regulated DC voltage sources to power the multilevel converters which are presently proposed for STATCOMs. DC voltage sources can be derived from the DC link capacitances which are charged by the rectified ac power. In this paper a new stronger control combined of nonlinear control based Lyapunov’s theorem and Ant Colony Algorithm (ACA) to maintain stability of multilevel STATCOM and the utility.

Keywords: Static Compensator (STATCOM), ant colony optimization (ACO), lyapunov control theory, Decoupled power control, neutral point clamped (NPC)

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Authors: Hudson Akewe

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We prove that the convergence of explicit Mann, explicit Ishikawa, explicit Noor, explicit SP, explicit multistep and explicit multistep-SP fixed point iterative procedures are equivalent for the classes of multi-valued phi-contraction, phi-Zamfirescu and phi-quasi-contractive mappings in the framework of modular function spaces. Our results complement equivalence results on normed and metric spaces in the literature as they elegantly cut out the triangle inequality.

Keywords: multistep iterative procedures, multivalued mappings, equivalence results, fixed point

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Authors: Goodness Thandi Ntuli

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Some cultural aspects in the African context have a tendency of uplifting women while some thrust them into the worst denigration scenarios; hence African Women Theologians refer to culture as a ‘double edged sword. Through socialization and internalization of social norms, some women become custodians of life, denying aspects of the culture that are against them and hand them down to the next generation. This indirectly contributes to the perpetuation of patriarchal tendencies wherein women themselves uphold and endorse such tendencies to their own detriment. One of the findings of the empirical research study conducted among the Zulu young women in the South African context was that, on the one hand, lobola (the bride-price) is one of the cultural practices that contribute a great deal in the vilification of women. On the other hand, a woman whose lobola has been paid is highly esteemed in the cultural context not only by society at large but also by the implicated woman who takes pride in it. Consequently, lobola becomes an ambiguous cultural practice. Thus from the postcolonial feminist perspective, this paper examines and critiques lobola practice while also disclosing and exposing its deep seated cultural reinforcement that is life denying to women. The paper elucidates the original lobola as a cultural practice before colonization and how it became commercialized during colonial times. With commercialization in the modern world, lobola has completely lost its preliminary meaning and ceased to be a life-giving cultural practice, particularly for women. It turned out to be the worst cultural practice that demeans women to the extent that it becomes suicidal to women dignity because, in marriage, they become objects or property to the men who purchased them. Women objectification in marriage does not only leave them culturally trapped in what was perceived to be a good practice, but it also leads to women abuse and gender based or domestic violence. The research has indicated that this kind of violence is escalating and has become so pervasive in the South African context that the country is rated as one of the capital cities of violence against women in the world. Therefore, this paper demonstrates how cultural practices at times indirectly contribute to this national scourge that needs to be condemned, disparaged and rejected. Women in the African context where such cultural activities are still viewed as a norm are in desperate need for true liberation from such ambiguous cultural practices that leave them in the margins in spite of the earned social status they might have achieved.

Keywords: african, ambiguity, critique, culture, feminist, lobola, postcolonial, society

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Authors: Lev Idels, Arcady Ponosov

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Stochastic fractional differential equations have recently attracted considerable attention, as they have been used to model real-world processes, which are subject to natural memory effects and measurement uncertainties. Compared to conventional hereditary differential equations, one of the advantages of fractional differential equations is related to more realistic geometric properties of their trajectories that do not intersect in the phase space. In this report, a Peano-like existence theorem for nonlinear stochastic fractional differential equations is proven under very general hypotheses. Several specific classes of equations are checked to satisfy these hypotheses, including delay equations driven by the fractional Brownian motion, stochastic fractional neutral equations and many others.

Keywords: delay equations, operator methods, stochastic noise, weak solutions

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Authors: Saulius Minkevicius, Edvinas Greicius

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The paper is devoted to the analysis of queueing systems in the context of the network and communications theory. We investigate the inequality in an open queueing network and its applications to the theorems in heavy traffic conditions (fluid approximation, functional limit theorem, and law of the iterated logarithm) for a queue of customers in an open queueing network.

Keywords: fluid approximation, heavy traffic, models of information systems, open queueing network, queue length of customers, queueing theory

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Authors: Mohiuddin Ahsanul Kabir Chowdhury, Ahmed Ehsanur Rahman, Nazia Binte Ali, Abdullah Nurus Salam Khan, Afrin Iqbal, Mohammad Mehedi Hasan, Salma Morium, Afsana Bhuiyan, Shams El Arifeen

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Violence against women has been treated as a global epidemic which is as fatal as any serious disease or accidents. Like many other low-income countries it is also common in Bangladesh. In spite of existence of a few documented evidences in some other countries, in Bangladesh, domestic violence against women (DVAW) is not considered as a factor for malnutrition in children yet. Hence, the aim of the study was to investigate the association between DVAW and the nutritional status of their under-5 children in the context of slum areas of Chittagong, Bangladesh. A Cross-sectional survey was conducted among 87 women of reproductive age having at least one child under-5 years of age and staying with husband for at least last 1 year in selected slums under Chittagong City Corporation area. Data collection tools were structured questionnaire for the study participants and mid-upper arm circumference (MUAC) to measure the nutritional status of the under-5 children. The data underwent descriptive and regression analysis. Out of 87 respondents, 50 (57.5%) reported to suffer from domestic violence by their husband during last one year. Physical violence was found to be significantly associated with age (p=0.02), age at marriage (p=0.043), wealth score (p=0.000), and with knowledge regarding law (p=0.017). According to the measurement of mid-upper arm circumference (MUAC) 21% children were suffering from severe acute malnutrition (SAM) and the same percentage of children were suffering from moderate acute malnutrition (MAM). However, unadjusted odds ratio suggested that there was negative association with domestic violence and nutritional status. But, the logistic regression confounding for other variable showed significant association with total family income (p=0.006), wealth score (p=0.031), age at marriage (p=0.029) and number of child (p=0.006). Domestic violence against women and under nutrition of the children, both are highly prevalent in Bangladesh. More extensive research should be performed to identify the factors contributing to the high prevalence of domestic violence and malnutrition in urban slums of Bangladesh. Household-based intervention is needed to limit this burning problem. In a nutshell, effective community participation, education and counseling are essential to create awareness among the community.

Keywords: Bangladesh, cross sectional survey, domestic violence against women, nutritional status, under-5 children, urban slums

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Authors: Daniel Y. Fiaveh, Chimaraoke O. Izugbara

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Based on the narratives of 20 women and 16 men, the paper explores how knowing more about the factors that trigger sex positions decisions advance knowledge of male and female sexuality, and how these translate into higher levels of female sexual negotiations in Ghana. Findings demonstrated that the willingness to perform sex positions or not were gendered and derive, at least in part, from differences in demographic profiles (such as age, gender, and marriage), beliefs associated with sexual practices (such as anal sex), the desire to maximize sexual pleasure, and sexual myths and misconceptions e.g. fear of infecundity. The women were not passive to sex positions decisions and engaged in a dialogical sexual encounter with men including threats of sexual refusal in negotiating sex.

Keywords: sexual positions, sexual pleasure, masculinity, femininity, Ghana

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Authors: Song Ni, Junxiang Xu

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This paper concerns quasi-periodic perturbations with parameters of 2-dimensional degenerate systems. If the equilibrium point of the unperturbed system is elliptic-type degenerate. Assume that the perturbation is real analytic quasi-periodic with diophantine frequency. Without imposing any assumption on the perturbation, we can use a path of equilibrium points to tackle with the Melnikov non-resonance condition, then by the Leray-Schauder Continuation Theorem and the Kolmogorov-Arnold-Moser technique, it is proved that the equation has a small response solution for many sufficiently small parameters.

Keywords: quasi-periodic systems, KAM-iteration, degenerate equilibrium point, response solution

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Authors: Ananya G., B. Varshitha, Shwetha S., Kavitha S. N., Praveen Kumar Gupta

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Teleportation is the ability to travel by just reappearing at some other spot. Though teleportation has never been achieved, quantum teleportation is possible. Quantum teleportation is a process of transferring the quantum state of a particle onto another particle, under the circumstance that one does not get to know any information about the state in the process of transformation. This paper presents a brief overview of quantum teleportation, discussing the topics like Entanglement, EPR Paradox, Bell's Theorem, Qubits, elements for a successful teleport, some examples of advanced teleportation systems (also covers few ongoing experiments), applications (that includes quantum cryptography), and the current hurdles for future scientists interested in this field. Finally, major advantages and limitations to the existing teleportation theory are discussed.

Keywords: teleportation, quantum teleportation, quantum entanglement, qubits, EPR paradox, bell states, quantum particles, spooky action at a distance

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Authors: Hassan J. Al Salman, Ahmed A. Al Ghafli

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In this study, we consider a nonlinear in time finite element approximation of a reaction diffusion system of lambda-omega type. We use a fixed-point theorem to prove existence of the approximations at each time level. Then, we derive some essential stability estimates and discuss the uniqueness of the approximations. In addition, we employ Nochetto mathematical framework to prove an optimal error bound in time for d= 1, 2 and 3 space dimensions. Finally, we present some numerical experiments to verify the obtained theoretical results.

Keywords: reaction diffusion system, finite element approximation, stability estimates, error bound

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Authors: Ying Yi Wu

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In this paper, we present a proof of the fact that a finite morphism is proper. We show that a finite morphism is universally closed and of finite type, which are the conditions for properness. Our proof is based on the theory of schemes and involves the use of the projection formula and the base change theorem. We first show that a finite morphism is of finite type and then proceed to show that it is universally closed. We use the fact that a finite morphism is also an affine morphism, which allows us to use the theory of coherent sheaves and their modules. We then show that the map induced by a finite morphism is flat and that the module it induces is of finite type. We use these facts to show that a finite morphism is universally closed. Our proof is constructive, and we provide details for each step of the argument.

Keywords: finite, morphism, schemes, projection.

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Authors: K. Vigneshwaran, Manoj Pandey

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In this paper, breathing crack is considered for the non linear dynamic analysis. The stiffness of the cracked beam is found out by using influence coefficients. The influence coefficients are calculated by using Castigliano’s theorem and strain energy release rate (SERR). The equation of motion of the beam was derived by using Hamilton’s principle. The stiffness and natural frequencies for the cracked beam has been calculated using XFEM and Eigen approach. It is seen that due to presence of cracks, the stiffness and natural frequency changes. The mode shapes and the FRF for the uncracked and breathing cracked cantilever beam also obtained and compared.

Keywords: breathing crack, XFEM, mode shape, FRF, non linear analysis

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Authors: Al. Harshan, Hazamah Ali Mahdi

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The Big House literature embodies Irish history. It requires a special dimension of moral and social significance in relation to its owners. The Big House is a metaphor for the decline of the protestant Ascendancy that ruled in a catholic country and oppressed a native people. In the tradition of the Big House fiction, Maria Edgeworth's Castle Rackrent and the Absentee explore the effect of the Anglo-Irish protestant Ascendancy as it governed and misgoverned Ireland. Edgeworth illustrates the tradition of the Big House as a symbol of both a personal and historical theme. This paper provides a reading of Castle Rackrent and The Absentee from a post-colonial perspective. The paper maintains that Edgeworth's novel contain elements of a radical critique of the colonialist enterprise. In our postcolonial reading of Maria Edgeworth's novels, one that goes beyond considering works as those of Sir Walter Scoot, regional evidence has been found of Edgeworth's colonial ideology. The significance of Castle Rackrent lies mainly in the fact that is the first English novel to speak in the voice of the colonized Irish. What is more important is that the irony and the comic aspect of the novel comes from its Irish narrator (Thady Quirk) and its Irish setting Ireland. Edgeworth reveals the geographical 'other' to her English reader, by placing her colonized Irish narrator and his son, Jason Quirk, in a position of inferiority to emphasize the gap between Englishness and Irishness. Furthermore, this satirical aspect is a political one. It works to create and protect the superiority of the domestic English reader over the Irish subject. In other words, the implication of the colonial system of the novel and of its structure of dominance and subordination is overlooked by its comic dimension. The matrimonial plot in the Absentee functions as an imperial plot, constructing Ireland as a complementary but ever unequal partner in the family of Great Britain. This imperial marriage works hegemonically to produce the domestic stability considered so crucial to national and colonial stability. Moreover, in order to achieve her proper imperial plot, Edgeworth reconciliation of England and Ireland is seen in the marriage of the Anglo-Irish (hero/Colambre) with the Irish (heroine/Grace Nugent), and the happy bourgeois family; consequently, it becomes the model for colonizer-colonized relationships. Edgeworth must establish modes of legitimate behavior for women and men. The Absentee explains more purposely how familial reorganization is dependent on the restitution of masculine authority and advantage, particularly for Irish community.

Keywords: Maria Edgeworth, post-colonial, reading, Irish

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Authors: Jyh-Yang Wu, Sheng-Gwo Chen

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In this paper, we present a simple effective numerical geometric method to estimate the divergence of a vector field over a curved surface. The conservation law is an important principle in physics and mathematics. However, many well-known numerical methods for solving diffusion equations do not obey conservation laws. Our presented method in this paper combines the divergence theorem with a generalized finite difference method and obeys the conservation law on discrete closed surfaces. We use the similar method to solve the Cahn-Hilliard equations on evolving spherical surfaces and observe stability results in our numerical simulations.

Keywords: conservation laws, diffusion equations, Cahn-Hilliard equations, evolving surfaces

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Authors: P. K. Rahul Krishna, S. Sandeep Kumar, Jayanthi Sunder Raj

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The article explores one of the important relations between numbers-the Pythagorean triples (triplets) which finds its application in distance measurement, construction of roads, towers, buildings and wherever Pythagoras theorem finds its application. The Pythagorean triples are numbers, that satisfy the condition “In a given set of three natural numbers, the sum of squares of two natural numbers is equal to the square of the other natural number”. There are numerous methods and equations to obtain the triplets, which have their own merits and demerits. Here, quadratic approach for generating triples uses the hypotenuse leg difference method. The advantage is that variables are few and finally only three independent variables are present.

Keywords: arithmetic progression, hypotenuse leg difference method, natural numbers, Pythagorean triplets, quadratic equation

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Authors: Zhifu Li, Lei Li, Wanting Zhou, Yuanhang He

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This paper proposed a lightweight certificate-less authentication and key exchange protocol (Light-CL-PKC) based on elliptic curve cryptography and the Chinese Remainder Theorem for smart home scenarios. Light-CL-PKC can efficiently reduce the computational cost of both sides of authentication by forgoing time-consuming bilinear pair operations and making full use of point-addition and point-multiplication operations on elliptic curves. The authentication and key exchange processes in this system are also completed in a a single round of communication between the two parties. The analysis result demonstrates that it can significantly minimize the communication overhead of more than 32.14% compared with the referenced protocols, while the runtime for both authentication and key exchange have also been significantly reduced.

Keywords: authentication, key exchange, certificateless public key cryptography, elliptic curve cryptography

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Authors: Anandhi Santhosh

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In order to describe various real-world problems in physical and engineering sciences subject to abrupt changes at certain instants during the evolution process, impulsive differential equations has been used to describe the system model. In this article, the problem of approximate controllability for nonlinear impulsive integrodifferential equations with state-dependent delay is investigated. We study the approximate controllability for nonlinear impulsive integrodifferential system under the assumption that the corresponding linear control system is approximately controllable. Using methods of functional analysis and semigroup theory, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the proposed theory.

Keywords: approximate controllability, impulsive differential system, fixed point theorem, state-dependent delay

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Authors: Laskri Yamina, Rehouma Abdel Hamid

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In this paper we present a new class named polar of monic orthogonal polynomials with respect to the area measure supported on G, where G is a bounded simply-connected domain in the complex planeℂ. We analyze some open questions and discuss some ideas properties related to solving asymptotic behavior of polar Bergman polynomials over domains with corners and asymptotic behavior of modified Bergman polynomials by affine transforms in variable and polar modified Bergman polynomials by affine transforms in variable. We show that uniform asymptotic of Bergman polynomials over domains with corners and by Pritsker's theorem imply uniform asymptotic for all their derivatives.

Keywords: Bergman orthogonal polynomials, polar rthogonal polynomials, asymptotic behavior, Faber polynomials

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Authors: Wieslaw Marszalek, Zdzislaw Trzaska

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Interesting properties of various one-period loops of singularly perturbed memristive circuits with mixed-mode oscillations (MMOs) are analyzed in this paper. The analysis is mixed, both analytical and numerical and focused on the properties of pinched hysteresis of the memristive element and other one-period loops formed by pairs of time-series solutions for various circuits' variables. The memristive element is the only nonlinear element in the two circuits. A theorem on periods of mixed-mode oscillations of the circuits is formulated and proved. Replacements of memristors by parallel G-C or series R-L circuits for a MMO response with equivalent RMS values is also discussed.

Keywords: mixed-mode oscillations, memristive circuits, pinched hysteresis, one-period loops, singularly perturbed circuits

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Authors: Leonard Kabeya Mukeba Yakasham

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The theoretical machinery from singularity theory introduced by Glolubitsky, Stewart, and Schaeffer, to study equivariant bifurcation problem is completed and expanded wile generalized to the multiparameter context. In this setting the finite deterinancy theorem or normal forms, the stability of equivariant bifurcation problem, and the structural stability of universal unfolding are discussed. With Yakam Matrix the solutions are limited for some partial differential equations stochastic nonlinear of the open questions in singularity artificial intelligence for future.

Keywords: equivariant bifurcation, symmetry singularity, equivariant jets and transversality; normal forms, universal unfolding instability, structural stability, artificial intelligence, pdens, yakam matrix

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Authors: H. D. Ibrahim, H. C. Chinwenyi, T. Danjuma

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An option is defined as a financial contract that provides the holder the right but not the obligation to buy or sell a specified quantity of an underlying asset in the future at a fixed price (called a strike price) on or before the expiration date of the option. This paper examined two approaches for derivation of Partial Differential Equation (PDE) options price valuation formula for the Heston stochastic volatility model. We obtained various PDE option price valuation formulas using the riskless portfolio method and the application of Feynman-Kac theorem respectively. From the results obtained, we see that the two derived PDEs for Heston model are distinct and non-unique. This establishes the fact of incompleteness in the model for option price valuation.

Keywords: Black-Scholes partial differential equations, Ito process, option price valuation, partial differential equations

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Authors: Panda Krouse

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This work is a marriage of the science of Applied Behavioral Analysis and an educator’s look at Neuroscience. The focus is integrating what we know about the anatomy of the brain in autism and evidence-based practices in education. It is a bold attempt to present links between neurological research and the application of evidence-based practices in education. In researching for this work, no discovery of articles making these connections was made. Consideration of the areas of structural differences in the brain are aligned with evidence-based strategies. A brief literary review identifies how identified areas affect overt behavior, which is what, as educators, is what we can see and measure. Giving further justification and validation of our practices in education from a second scientific field is significant for continued improvement in intervention for students on the autism spectrum.

Keywords: autism, evidence based practices, neurological differences, education intervention

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Authors: Michael A. Genovese

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The struggle for LGBTQ rights in the United States began in Greenwich Village, New York, in 1967, when police tried to break up a gathering of mostly gay men who were partying at the Stonewall Bar in NYC. As unlikely as it may sound, this “riot” proved to be consequential in raising the political consciousness of gay men in America. From that point on, gays engaged in a political battle to achieve the rights to which they were entitled. This essay examines changes in popular opinion regarding LGBTQ rights from the late 1960s through the Trump administration, and examines the role public pressure played on presidential politics. For most of this period, presidents “followed” public opinion. This was true even during the administration of Barack Obama when gay Americans finally achieved some clearly spelled out rights (e.g. same-sex marriage). The findings of this paper call into question certain assumptions about presidential leadership, and underline the power of public opinion in shaping policy.

Keywords: presidential leadership, gay rights, LGBTQ, popular opinion

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Authors: Xia Yang, Zheng Yang, Haiyong Sun, Yan Fang, Jingyu Liu, Jia Song

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The smart contract in Ethereum is a unique program deployed on the Ethereum Virtual Machine (EVM) to help manage cryptocurrency. The security of this smart contract is critical to Ethereum’s operation and highly sensitive. In this paper, we present a formal model for smart contract, using the separated term-obligation (STO) strategy to formalize and verify the smart contract. We use the IBM smart sponsor contract (SSC) as an example to elaborate the detail of the formalizing process. We also propose a formal smart sponsor contract model (FSSCM) and verify SSC’s security properties with an interactive theorem prover Coq. We found the 'Unchecked-Send' vulnerability in the SSC, using our formal model and verification method. Finally, we demonstrate how we can formalize and verify other smart contracts with this approach, and our work indicates that this formal verification can effectively verify the correctness and security of smart contracts.

Keywords: smart contract, formal verification, Ethereum, Coq

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Authors: Vijay Kumar Kukreja, Ravneet Kaur

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In this paper, one dimensional advection diffusion model is analyzed using finite difference method based on Crank-Nicolson scheme. A practical problem of filter cake washing of chemical engineering is analyzed. The model is converted into dimensionless form. For the grid Ω × ω = [0, 1] × [0, T], the Crank-Nicolson spatial derivative scheme is used in space domain and forward difference scheme is used in time domain. The scheme is found to be unconditionally convergent, stable, first order accurate in time and second order accurate in space domain. For a test problem, numerical results are compared with the analytical ones for different values of parameter.

Keywords: Crank-Nicolson scheme, Lax-Richtmyer theorem, stability, consistency, Peclet number, Greschgorin circle

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Authors: Jian-Jun Shu

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It is common knowledge that many physical problems (such as non-linear shallow-water waves and wave motion in plasmas) can be described by the Korteweg-de Vries (KdV) equation, which possesses certain special solutions, known as solitary waves or solitons. As a marriage of the KdV equation and the classical Burgers (KdVB) equation, the Korteweg-de Vries-Burgers (KdVB) equation is a mathematical model of waves on shallow water surfaces in the presence of viscous dissipation. Asymptotic analysis is a method of describing limiting behavior and is a key tool for exploring the differential equations which arise in the mathematical modeling of real-world phenomena. By using variable transformations, the asymptotic expansion of the KdVB equation is presented in this paper. The asymptotic expansion may provide a good gauge on the validation of the corresponding numerical scheme.

Keywords: asymptotic expansion, differential equation, Korteweg-de Vries-Burgers (KdVB) equation, soliton

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Authors: Merav Meiron-Goren, Orna Braun-Lewensohn, Tal Litvak-Hirsh

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In recent years, there has been an increasing tendency towards separation and divorce in relationships. Nevertheless, many couples in a first marriage do not anticipate this as a probable possibility and do not make any preparation for it. Same sex couples establishing a family encounter a much more complicated situation than do heterosexual couples. Although there is a trend towards legal recognition of same sex marriage, many countries, including Israel, do not recognize it. The absence of legal recognition or the existence of partial recognition creates complexity for these couples. They have to fight for their right to establish a family, like the recognition of the biological child of a woman, as a child of her woman spouse too, or the option of surrogacy for a male couple who want children, and more. The lack of legal recognition is burden on the lives of these couples. In the absence of clear norms regarding the conduct of the family unit, the couples must define for themselves the family structure, and deal with everyday dilemmas that lack institutional solutions. This may increase the friction between the two couple members, and it is one of the factors that make it difficult for them to maintain the relationship. This complexity exists, perhaps even more so, in separation. The end of relationship is often accompanied by a deep crisis, causing pain and stress. In most cases, there are also other conflicts that must be settled. These are more complicated when rights are in doubt or do not exist at all. Complex issues for separating same sex couples may include matters of property, recognition of parenthood, and care and support for the children. The significance of the study is based on the fact that same sex relationships are becoming more and more widespread, and are an integral part of the society. Even so, there is still an absence of research focusing on such relationships and their ending. The objective of the study is to research the perceptions of same sex couples regarding the possibility of separation, preparing for it, conflict management and resolving disputes through the separation process. It is also important to understand the point of view of couples that have gone through separation, how they coped with the emotional and practical difficulties involved in the separation process. The doctoral research will use a qualitative research method in a phenomenological approach, based on semi-structured in-depth interviews. The interviewees will be divided into three groups- at the beginning of a relationship, during the separation crisis and after separation, with a time perspective, with about 10 couples from each group. The main theoretical model serving as the basis of the study will be the Lazarus and Folkman theory of coping with stress. This model deals with the coping process, including cognitive appraisal of an experience as stressful, appraisal of the coping resources, and using strategies of coping. The strategies are divided into two main groups, emotion-focused forms of coping and problem-focused forms of coping.

Keywords: conflict management, coping, legal recognition, same-sex relationship, separation

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Authors: Sezen Gulec, Bilge Uzun

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Almost all of the world population marries at least once in their lifetime. Nevertheless, in reality, only half of all marriages last a lifetime. The most important factor in marriage to manage is the satisfaction that they obtain. It is reality that marital satisfaction does not only related to maintain the relationship but also related to the social and work relationships. In this respect, the purpose of the present research is to find the personal and relational factors predicted marital satisfaction. The sample including 378 (178 male and 200 females) married individuals were administered to marital life scale, multidimensional perfectionism scale, trait forgivingness scale, adjective based personality test and relationship happiness questionnaire. The findings revealed marital happiness, forgiveness and extravertedness and emotional inconsistency factors were found to be significant predictors of marital satisfaction.

Keywords: marital satisfaction, happiness, perfectionism, forgiveness, five factor personality

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Authors: František Včelař, Zuzana Pátíková

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Recently a new type of very general relational structures, the so called (L-)complete propelattices, was introduced. These significantly generalize complete lattices and completely lattice L-ordered sets, because they do not assume the technically very strong property of transitivity. For these structures also the main part of the original Tarski’s fixed point theorem holds for (L-fuzzy) isotone maps, i.e., the part which concerns the existence of fixed points and the structure of their set. In this paper, fundamental properties of (L-)complete propelattices are recalled and the so called L-fuzzy relatively isotone maps are introduced. For these maps it is proved that they also have fixed points in L-complete propelattices, even if their set does not have to be of an awaited analogous structure of a complete propelattice.

Keywords: fixed point, L-complete propelattice, L-fuzzy (relatively) isotone map, residuated lattice, transitivity

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Authors: Gül Özateşler Ülkücan

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This article dwells on the findings of a research project from 2014 to 2017 on intermarriages between people from Alevi and Sunni communities in the city of Izmir, on the western coast of Turkey. The research is composed of 43 individual in-depth interviews with Alevi-Sunni couples (18 couples and 7 individuals, to represent 25 couples in total). It reveals how classifying identities, people's self and group identifications and understanding of difference interplay throughout close interactions of marital experiences. The couples' sense of difference and categorical identifications are built through not only individual interactions but also historical construction of Aleviness and Sunniness, current debates on Islam, political discourses in Turkey, and the representation of locality. The research, thus, contributes to the discussions on the concepts of identity, culture, religion, marriage and communication in the peculiarities of the Turkish context.

Keywords: Aleviness, difference, identifications, intermarriages, Sunniness, Turkey

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