Search results for: marriage theorem

Authors: Tomer Einat, Sharon Rabinovitz, Inbal Harel-Aviram

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This study explores men’s motivation and justification to remain married to their criminal, imprisoned wives. Using semi-structured interviews and content-analysis, data were collected and analyzed from eight men who maintain stable marriage relationships with their incarcerated wives. Participants are normative men who describe incarceration as a challenge that enhances mutual responsibility and commitment. They exaggerate the extent to which their partners resemble archetypal romantic ideals. They use motivational accounts to explain the woman’s criminal conduct, which is perceived as non-relevant to her real identity. Physical separation and lack of physical intimacy are perceived as the major difficulties in maintaining their marriage relations. Length of imprisonment and marriage was found to be related to the decision whether to continue or terminate the relationships. Women-inmates’ partners experience difficulties and use coping strategies very similar to those cited by other normative spouses facing lengthy separation.

Keywords: female inmates, marriage, normative spouses, romantic accounts

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Authors: Nivedita Paul

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Marriages in India are part and parcel of kinship and cultural practices. Marriage practices differ in India because of cross-regional diversities in social relations which itself has evolved as a result of causal relationship between space and culture. As the place is important for the formation of culture and other social structures, therefore there is regional differentiation in cultural practices and marital customs. Based on the cultural practices some scholars have divided India into North and South kinship regions where women in the North get married early and have lesser autonomy compared to women in the South where marriages are mostly consanguineous. But, the emergence of new modes and alternative strategies such as matrimonial advertisements becoming popular, as well as the increase in women’s literacy and work force participation, matchmaking process in India has changed to some extent. The present study uses data from Indian Human Development Survey II (2011-12) which is a nationally representative multitopic survey that covers 41,554 households. Currently married women of age group 15-49 in their first marriage; whose year of marriage is from the 1970s to 2000s have been taken for the study. Based on spouse selection experiences, the sample of women has been divided into three marriage categories-self, semi and family arranged. Women in self-arranged or love marriage is the sole decision maker in choosing the partner, in semi-arranged marriage or arranged marriage with consent both parents and women together take the decision, whereas in family arranged or arranged marriage without consent only parents take the decision. The main aim of the study is to show the spatial and regional variations in spouse selection decision making. The basis for regionalization has been taken from Irawati Karve’s pioneering work on kinship studies in India called Kinship Organization in India. India is divided into four kinship regions-North, Central, South and East. Since this work was formulated in 1953, some of the states have experienced changes due to modernization; hence these have been regrouped. After mapping spouse selection patterns using GIS software, it is found that the northern region has mostly family arranged marriages (around 64.6%), the central zone shows a mixed pattern since family arranged marriages are less than north but more than south and semi-arranged marriages are more than north but less than south. The southern zone has the dominance of semi-arranged marriages (around 55%) whereas the eastern zone has more of semi-arranged marriage (around 53%) but there is also a high percentage of self-arranged marriage (around 42%). Thus, arranged marriage is the dominant form of marriage in all four regions, but with a difference in the degree of the involvement of the female and her parents and relatives.

Keywords: spouse selection, consent, kinship, regional pattern

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Authors: Rajani Bogati, Gopini Pathak

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Women living in husband’s home (second home) after getting married is a common culture in Nepalese society. Most of the marriages are arranged between the mutual understandings of their parents as per their cultural practice. Culturally, arranged marriage system protects women in the society. Even though, women domestic violence is also still alive in the society. It depends upon the family class, ethnicity, caste, religion etc. Lower class (poor) family always try to get marriage from the higher class (rich) family of girl and also try to send their girl in higher class family. This study analysis the freedom of women of Armala Village Development Committee, Kaski district on the base of the family class of girl where she born (First home). 88% women are getting more respect in their second home if their family class of first home and second homes are same. They feel more comfortable and freedom in their second home. 79% of Women are suffering from domestic violence while the marriage between the boys from higher class and the girls from lower class. But less than 10% women are getting distress from violence if the marriage is accompanied between the girls from higher class and the boys from lower class. Less domestic violence is seem where the both families are educated, even though they are from different class. This study recommends that the society should be educated first to reduce women domestic violence.

Keywords: arranged marriage, women, family class, domestic violence

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Authors: Lizelle Ramaccio Calvino

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Article 3 of the United Nations Convention on the Rights of Child states that 'The best interests of the child must be a top priority in all decisions and actions that affect children.' This stance is also echoed in terms of article 20 of the African Charter on the Rights and Welfare of the Child. South Africa, as a signatory of the aforesaid international and national conventions, constitutionalised the best interest of the child in terms of section 28(2) of the Republic of South Africa, 1996. Section 28(2) provides that '[A] child’s best interests are of paramount importance in every matter concerning the child.' The application of 'the best interests of the child' principle is consequently applicable in all fields of South African law, including matrimonial law. Two separate but equal Acts regulate civil marriages in South Africa, namely the Marriage Act 25 of 1961 and the Civil Union Act 17 of 2006. Customary marriages are regulated by the Recognition of Customary Marriages Act 120 of 1998. In terms of the Marriage Act and the Recognition of Customary Marriages Act, a minor may (provided he/she obtains the required consent) enter into a marriage. Despite the aforesaid, section 1 of the Civil Union Act categorically prohibits a minor from entering into a civil union. The article will first determine whether the ban of minors from entering into a civil union undermines the 'the best interests of the child' principle, and if so, whether it is in violation of the Constitution as well as international and national conventions. In addition, the article will critically analyse whether the application of the Marriage Act and the Civil Union Act (dual Acts) result in disparity within the South African marriage law framework, and if so, whether such discrepancy violates same-sex couples’ right (in particular a same-sex minor) to equality before the law and to have their dignity protected. The article intends, through the application of a qualitative research methodology and by way of a comparative analyses of international and domestic laws, consider whether a single well-defined structure such as the Dutch marriage law system would not be an improved alternative to address the existing paradox resulting from the application of an Act that undermines 'the best interest of the child' principle. Ultimately the article proposes recommendations for matrimonial law reform.

Keywords: best interests of the child, civil marriage, civil union, minor

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Authors: Emad Mohammed Sani

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Women encounter exclusion and discrimination in varying degrees, particularly those who marry as minors. The detrimental custom of getting married young is still prevalent worldwide and affects millions of people. It has been less common over time, although it is still widespread in underdeveloped nations. Oromia Regional State is the region in Ethiopia with the highest proportion of child brides. This study aimed at evaluating the effects of early marriage on its survivors’ life conditions – specifically, empowerment and household decision-making – in Eastern Hararghe Zone of Oromia Region. This study employed community-based cross-sectional study design. It adopted mixed method approach – survey, in-depth interview and focus group discussion (FGD) – to collect, analyses and interpret data on early marriage and its effects on household decision-making processes. Narratives and analytical descriptions were integrated to substantiate and/or explain observed quantitative results, or generate contextual themes. According to this study, married women who were married at or after the age of eighteen participated more in household decision-making than child brides. Child brides were more likely to be victims of violence and other types of spousal abuse in their marriages. These changes are mostly caused by an individual's age at first marriage. Delaying marriage had a large positive impact on women's empowerment at the household level, and age at first marriage had a considerable negative impact. In order to advance women's welfare and emancipation, we advise more research to concentrate on the relationship between the home and the social-structural forms that appear at the individual and communal levels.

Keywords: child-bride, early marriage, women, ethiopia

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Authors: Niveen Hassan-Abbas, Tammie Ronen-Rosenbaum

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Background and purpose: 'Flourishing in marriage' is a concept refers to married individuals’ high positivity ratio regarding their marriage, namely greater reported positive than negative emotions. The study proposes a different approach to marriage which emphasizes the place of the individual himself as largely responsible for his personal flourishing within marriage. Accordingly, the individual's desire to preserve and strengthen his marriage largely determines the marital behavior in a way that will contribute to his marriage success (Actor Effect), regardless the contribution of his or her partner to his marriage success (Partner Effect). Another assumption was that flourishing in marriage could be achieved by two separate processes, where capitalization support increases the positive marriage's evaluations and accommodation decreases the negative one. A theoretical model was constructed, whereby individuals who were committed to their marriage were hypothesized as employing self-control skills by way of two dynamic processes. First, individual’s higher degree of 'capitalization supportive responses' - supportive responses to the partner's sharing of positive personal experiences - was hypothesized as increasing one’s positive evaluations of marriage and thereby one’s positivity ratio. Second, individual’s higher degree of 'accommodation' responses - the ability during conflict situations to control the impulse to respond destructively and instead to respond constructively - was hypothesized as decreasing one’s negative evaluations of marriage and thereby increasing one’s positivity ratio. Methods: Participants were 156 heterosexual Arab couples from different regions of Israel. The mean period of marriage was 10.19 (SD=7.83), ages were 31.53 years for women (SD=8.12) and 36.80 years for men (SD=8.07). Years of education were 13.87 for women (SD=2.84) and 13.23 years for men (SD=3.45). Each participant completed seven questionnaires: socio-demographic, self-control skills, commitment, capitalization support, accommodation, marital quality, positive and negative affect. Using statistical analyses adapted to dyadic research design, firstly descriptive statistics were calculated and preliminary tests were performed. Next, dyadic model based on the Actor-Partner Interdependence Model (APIM) were tested using structural equation modeling (SEM). Results: The assumption according to which flourishing in marriage can be achieved by two processes was confirmed. All of the Actor Effect hypotheses were confirmed. Participants with higher self-control used more capitalization support and accommodation responses. Among husbands, unlike wives, these correlations were stronger when the individual's commitment level was higher. More capitalization supportive responses were found to increase positive evaluations of marriage, and greater spousal accommodation was found to decrease negative evaluations of marriage. High positive evaluations and low negative evaluations were found to increase positivity ratio. Not according to expectation, four partner effect paths were found significant. Conclusions and Implications: The present findings coincide with the positive psychology approach that emphasizes human strengths. The uniqueness of this study is its proposal that individuals are largely responsible for their personal flourishing in marriage. This study demonstrated that marital flourishing can be achieved by two processes, where capitalization increases the positive and accommodation decreases the negative. Practical implications include the need to construct interventions that enhance self-control skills for employment of capitalizing responsiveness and accommodation processes.

Keywords: accommodation, capitalization support, commitment, flourishing in marriage, positivity ratio, self-control skills

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Authors: Muhammad Farooq

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The present article explores the woman's consent as a paramount element in contracting a Muslim marriage. Also, whether permission of the wali (guardian) is a condition per se for a valid nikah (marriage deed) in the eye of law and Sharia. The researcher attempts to treat it through the related issues, inter alia; the marriage guardian, the women's legal capacity to give consent whether she is a virgin or nonvirgin and how that consent is to be given or may be understood. Does her laugh, tears or salience needs a legal interpretation as well as other female manifestations of emotion explained by the Muslim jurists? The silence of Muslim Family Law Ordinance 1961 (hereafter; MFLO 1961) in this regard and the likely reasons behind such silence is also inquired in brief. Germane to the theme, the various cases in which the true notion of woman's consent is interpreted by courts in Pakistan are also examined. In order to address the issue in hand, it is proposed to provide a brief overview of a few contemporary writers' opinions in which the real place of woman's consent in Muslim marriage is highlighted. Key to the idea of young Muslim woman's marriage, the doctrine of kafa'a (equality or suitability) between the man and woman is argued here to be grounded in the patriarchal and social norms. It is, therefore, concluded that such concept was the result of analogical reasoning and has less importance in the present time. As such it is not a valid factor in current scenarios to validate or invalidate marital bonds. A standard qualitative convention is used for this research. Among primary and secondary sources; for examples, Qur'an, Sunnah, Books, Scholarly articles, texts of law and case law is used to point out the researcher's view. In summation, the article is concluded with a bold statement that a young woman being a party to the contract, is absolutely entitled to 'full and free' consent for the Muslim marriage contract. It is the woman, an indispensable partaker and her consent (not the guardian' permission) that does validate or invalidate the said agreement in the eye of contemporary personal law and in Sharia.

Keywords: consent of woman, ejab (declaration), Nikah (marriage agreement), qabol (acceptance), sui juris (of age; independent), wali (guardian), wilayah (guardianship)

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Authors: Rorick Daniel Tovar Galvan

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The existence of different legal systems represents an important barrier for married couples that attempt to reside in another country. Each movement can cause important changes in the rights and obligations derived from the marriage since a different law could be used by the courts to solve legal disputes arising from their relationship. In a context in which it is increasingly common to move from one country to another, people cannot be certain about the outcomes of proceedings dealing with i.e., the dissolution of property regime, maintenance payments or time to wait to initiate divorce because a foreign – and in most cases unknown – law could apply every time they move. At first glance, the answer to this issue seems to be the harmonization of the legal systems: the greater the mobility of individuals inside a group of countries, the higher the similarities of their laws should be. Such a solution could be positive for spouses because a higher degree of legal certainty would be reached in case the same legal rules applied regardless of the place where the couple lives. However, the legal pluralism brings with it also advantages that could be appreciated when one looks closely at the economic rationale behind the legal institution of marriage. This contribution carries out an economic analysis of the existence of different legal systems in the area of marriage law and proposes another strategy to cope with the problems arising from legal pluralism. Far from eliminating the diversity of legal systems, one wishes to foster it, since significant advantages could arise from such diversity in case couples are permitted to choose the applicable law themselves. Based on the idea that the law could be seem as a product offered in the market as well as states and spouses as suppliers and consumers of this product, the paper shows the advantages of designing a legal framework that allows spouses to determine freely the law governing the legal effects of their marriage. Instead of promoting the harmonization of the substantive law, one explores the benefits of encouraging the regulatory competition at international level in the area of marriage law.

Keywords: conflict of laws, harmonization, international marriage law, law and economics, regulatory competition

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Authors: Tze Jin Wong, Lee Feng Koo, Pang Hung Yiu

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Lenstra’s attack uses Chinese remainder theorem as a tool and requires a faulty signature to be successful. This paper reports on the security responses of fourth and sixth order Lucas based (LUC_4,6) cryptosystem under the Lenstra’s attack as compared to the other two Lucas based cryptosystems such as LUC and LUC₃ cryptosystems. All the Lucas based cryptosystems were exposed mathematically to the Lenstra’s attack using Chinese Remainder Theorem and Dickson polynomial. Result shows that the possibility for successful Lenstra’s attack is less against LUC_4,6 cryptosystem than LUC₃ and LUC cryptosystems. Current study concludes that LUC_4,6 cryptosystem is more secure than LUC and LUC₃ cryptosystems in sustaining against Lenstra’s attack.

Keywords: Lucas sequence, Dickson polynomial, faulty signature, corresponding signature, congruence

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Authors: Elisabeth Sundari, Anny Retnowati

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This research aims to examine the meaning of 'the best interests of the child' in Indonesia's rampant phenomenon of child marriage. The methodology used empirical and normative legal research by examining the parent's reason and the judges' considerations in granting child marriage dispensation applications. It takes data samples from judges' decisions purposively in two courts that differ in geographical and religious backgrounds to see data variation. Namely, the District Court and Religious Court of Yogyakarta City, as well as Gunung Kidul Regency, in the last three years (2020-2022). It analyses the data qualitatively to explore how judges interpreted 'the best interests of the child' in their decision. The results show that judges granted 100% of all child marriage dispensation applications filed by parents. The three reasons parents gave for applying for dispensation were that they were ashamed of having a pregnant child without being married, followed religious teachings, and obtained legal status for the baby. The judges supported those reasons by granting the dispensation application. The external factor of the child itself influenced the meaning of 'The best interests of the child' in marrying off children in Indonesia, such as cultural taboos, religious teachings, and obtaining legal status for the baby, rather than internal factors of the child, such as the will to marry, the mental and psychological readiness of the child to become a mother, as well as a wife. This research contributes to the finding that external factors, such as local culture and religion, can influence the meaning of 'the best interests of the child.'

Keywords: interests, child, Indonesia, marriage

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Authors: Jingya Huang

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This paper argues that Moushumi Mazoomdar has non-monogamous relationships with different men before and after her marriage as a form of rebellion against the traditional Indian culture deeply ingrained in her. Written by Jhumpa Lahiri, The Namesake (2004) features an Indian couple migrating to America who gives birth to two children, including the main character Gogol. Moushumi, like Gogol, is also a second-generation Indian American. Because of the influence of American culture, Moushumi prefers to marry for love, disdaining any thought of an arranged marriage. This paper is divided into two parts: before and after marriage which can also be seen in the light of polyamory and infidelity. First, according to Anapol (2010), polyamory is a newly created word from Greek and Latin which means “loving more than one person at a time when it comes to romantic or erotic love.” The discussion of polyamory mainly focuses on the most basic heterosexual relationship without mentioning of homosexual and bisexual love relationships. By adopting Anapol’s concept of polyamory, this paper examines the nature of the relationships between Moushumi and other men before her marriage. Afterwards, the concept of infidelity is discussed to analyze the interaction between Moushumi and Dimitri. How Moushumi rebels against tradition is shown through these two main discussions.

Keywords: Indian American, non-monogamous relationship, rebellion, polyamory, infidelity

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Authors: Mohamed Houas, Maamar Benbachir

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In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented.

Keywords: caputo derivative, boundary value problem, fixed point theorem, local conditions

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Authors: Thanin Sitthiwirattham, Jiraporn Reunsumrit

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We study the existence of positive solutions to the three points difference summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones.

Keywords: positive solution, boundary value problem, fixed point theorem, cone

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Authors: Emmanuel Olamijuwon

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Despite laws against child marriage - a violation against child rights, the practice remains widespread in sub-Saharan Africa and globally partly because of persistent poverty, gender inequality, protection and the need to reinforce family ties. Using pooled data from the recent demographic and health surveys of 20-sub-Saharan African countries with a regional representative sample of 36,943 girls under 18 years, this study explores the prevalence, pattern and infant mortality implications of this marriage type while also examining its regional variations. Indications from the study are that child marriage is still very high in the region with variations above one-tenth in West, Central and Southern Africa regions except in the East African region where only about 7% of children under 18 were already married. Preliminary findings also suggest that about one-in-ten infant deaths were to child brides many of whom were residing in poor households, rural residence, unemployed and have less than secondary education. Based on these findings, it is, therefore, important that government of African countries addresses critical issues through increased policies towards increasing enrollment of girl children in schools as many of these girls are not likely to have any economic benefit to the region if the observed pattern continues.

Keywords: child marriage, infant mortality, Africa, child brides

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Authors: Paola Cattabriga

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According to Gödel’s first incompleteness argument it is possible to construct a formally undecidable proposition in Principia mathematica, a statement that, although true, turns out to be neither provable nor refutable for the system, making therefore incomplete any formal system suitable for the arithmetic of integers. Its features and limitation effects are today widespread basics throughout whole scientific thought. This article brings Gödel’s achievement into question by the definition of the refutability predicate as a number-theoretical statement. We develop proof of invalidity of Theorem VI in Gödel’s 1931, the so-called Gödel’s first incompleteness theorem, in two steps: defining refutability within the same recursive status as provability and showing that as a consequence propositions (15) and (16), derived from definition 8.1 in Gödel’s 1931, are false and unacceptable for the system. The achievement of their falsity blocks the derivation of Theorem VI, which turns out to be therefore invalid, together with all the depending theorems. This article opens up thus new perspectives for mathematical research and for the overall scientific reasoning.

Keywords: Gödel numbering, incompleteness, provability predicate, refutability predicate

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Authors: Hajar Mohafezatkar Abadi

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The family foundation is formed by marriage, and each couple, with their unique attitudes and personalities, takes a step into marriage. The more efficient and flexible these variables are, the more stable the marriage will be predicted. This group of couples sees their conflicts as an opportunity for growth, not as a threat to their shared life. Regarding family issue importance, a lot of research has been done around this topic which can be an effective step toward improving couples' life quality. The aim of the present study was to determine the role of personality and attitude on marital conflict. 306 couples (153 females, 153 males) were selected using multistage cluster sampling. The participants completed the personality Questionnaire (16PF, Cattell, 1975), marital conflict Questionnaire (MCQ-R, Sanaee Zaker, 1387), and dysfunctional attitude Questionnaire (DAS-26, Weissman & beck. 1987). The regression analysis results indicated that some personality traits and dysfunctional attitudes had a significant positive correlation with marital conflict.

Keywords: marital conflict, dysfunctional attitude, personality, personality questionnaire (16PF)

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Authors: Hao-Hsi Tseng, Hsin-Yun Lee

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The Most Advantageous Tender (MAT) has been criticized for its susceptibility to dictatorial situations and for its processing of same score, same rank issues. This study applies the four criteria from Arrow's Impossibility Theorem to construct a mechanism for revealing illegitimate scores in scoring methods. While commonly be used to improve on problems resulting from extreme scores, ranking methods hide significant defects, adversely affecting selection fairness. To address these shortcomings, this study relies mainly on the overall evaluated score method, using standardized scores plus normal cumulative distribution function conversion to calculate the evaluation of vender preference. This allows for free score evaluations, which reduces the influence of dictatorial behavior and avoiding same score, same rank issues. Large-scale simulations confirm that this method outperforms currently used methods using the Impossibility Theorem.

Keywords: Arrow’s impossibility theorem, cumulative normal distribution function, most advantageous tender, scoring method

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Authors: Poonamdeep kaur

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With the increase in number of Non-Resident Indian marriages there is also increase in foreign decree divorces which inevitably causes the problem of recognition and enforcement of foreign judgments in India. The Hindus in India are governed by the Hindu Marriage Act, 1956. According to the said Act the courts in India have jurisdiction to try the matrimonial dispute if the marriage is performed in India or the parties to the marriage have domicile in India irrespective of their nationality status. But, sometimes one of the parties to the marriage whose marriage is solemnized in India obtains divorce in foreign courts and prays for the recognition and enforcement of such divorce in India. In such case section 13 of the Indian Civil Procedure Code, 1908, comes into play for the recognition and enforcement of foreign divorces in India. The section makes a foreign judgment conclusive in India subject to the fulfilment of certain conditions. Even if a foreign decree divorce is given on personal connecting factors of the parties to the matrimonial dispute like domicile, such divorce may still be refused recognition in India by virtue of section 13 of the Indian Civil Procedure Code, 1908. It is a universal truth that municipal law of countries is not the same throughout the world. Comity plays an important role in recognition and enforcing a foreign judgment, but, now in India the principle is not applied mechanically as the divorce matter is dealt strictly with regard to Indian Law. So in this paper there will be deep analysis of Indian case laws relating to recognition and enforcement of foreign divorces and based on this a comparative study will be made with the laws of Canada and England on the same subject to find out whether the Indian law on recognition and Enforcement of foreign judgment are in line with the laws of Canada and England and whether in recent years the Indian courts have evolved some new principles of private international law to deal with limping marriages. At last conclusions will be drawn out from the comparative study and suggestions would be given to make the rules of recognition and enforcement of foreign judgments on divorce more certain.

Keywords: divorce, foreign decree, private international law, recognition and enforcement of foreign judgment

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Authors: Mukhtari Hussaini Muhammad, Abba Adamu

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The paper will examine the approaches and solutions that will be offered by Senior Secondary School II Students (Demonstration Secondary School, Azare Bauchi State Northern Nigeria – Hausa/ Fulani predominant area) toward solving exercises related to the circle theorem. The angle that an arc of a circle subtends at the center is twice that which it subtends at any point on the remaining part of the circumference. The Students will be divided in to 2 groups by given them numbers 1, 2; 1, 2; 1, 2, then all 1s formed group I and all 2s formed group II. Group I will be considered as control group in which the traditional method will be applied during instructions. Thus, the researcher will revise the concept of circle, state the theorem, prove the theorem and then solve examples. Group II, experimental group in which the concept of circle will be revised to the students and then the students will be asked to draw different circles, mark arcs, draw angle at the center, angle at the circumference then measure the angles constructed. The students will be asked to explain what they can infer/deduce from the angles measured and lastly, examples will be solved. During the next contact day, both groups will be subjected to solving exercises in the classroom related to the theorem. The angle that an arc of a circle subtends at the center is twice that which it subtends at any point on the remaining part of circumference. The solution to the exercises will be marked, the scores compared/analysed using relevant statistical tool. It is expected that group II will perform better because of the method/ technique followed during instructions is more learner-centered. By exploiting the talents of the individual learners through listening to the views and asking them how they arrived at a solution will really improve learning and understanding.

Keywords: circle theorem, control group, experimental group, traditional method

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Authors: Tetsuki Taniguchi, Yoshio Karasawa

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This paper describes a node pair selection scheme in relay-aided multiple source multiple destination communication system based on stable marriage problem. A general case is assumed in which all of source, relay and destination nodes are equipped with multiantenna and carry out multistream transmission. Based on several metrics introduced from inter-node channel condition, the preference order is determined about all source-relay and relay-destination relations, and then the node pairs are determined using Gale-Shapley algorithm. The computer simulations show that the effectiveness of node pair selection is larger in multihop communication. Some additional aspects which are different from relay-less case are also investigated.

Keywords: relay, multiple input multiple output (MIMO), multiuser, amplify and forward, stable marriage problem, Gale-Shapley algorithm

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Authors: Shu-Hsi Ho

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The problems of aging and number of widowed peers gradually rise in Taiwan. It is worth to concern the related issues for elderly after the death of a spouse. Hence, this study is to examine the impact of spousal death on the surviving spouse’s self-perceived health and mental health for the elderly in Taiwan. A cross section data design and ordered logistic regression models are applied to investigate whether marriage is associated significantly to self-perceived health and mental health for the widowed older Taiwanese. The results indicate that widowed marriage shows significant negative effects on self-perceived health and mental health regardless of widows or widowers. Among them, widows might be more likely to show worse mental health than widowers. The belief confirms that marriage provides effective sources to promote self-perceived health and mental health, particularly for females. In addition, since the social welfare system is not perfect in Taiwan, the findings also suggest that family and social support reveal strongly association with the self-perceived health and mental health for the widows and widowers elderly.

Keywords: logistic regression models, self-perceived health, widow, widower

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Authors: Hemant Kumar Pathak

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In 1994, Matthews (S.G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197) introduced the concept of a partial metric as a part of the study of denotational semantics of data flow networks. He gave a modified version of the Banach contraction principle, more suitable in this context. In fact, (complete) partial metric spaces constitute a suitable framework to model several distinguished examples of the theory of computation and also to model metric spaces via domain theory. In this paper, we introduce the concept of almost partial Hausdorff metric. We prove a fixed point theorem for multi-valued mappings on partial metric space using the concept of almost partial Hausdorff metric and prove an analogous to the well-known Nadler’s fixed point theorem. In the sequel, we derive a homotopy result as an application of our main result.

Keywords: fixed point, partial metric space, homotopy, physical sciences

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Authors: Ti-Jun Xiao, Zhe Xu

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Controllability is one of the fundamental issues in control systems. In this paper, we study the controllability of second order evolutional control systems in Hilbert spaces with memory and boundary controls, which model dynamic behaviors of some viscoelastic materials. Transferring the control problem into a moment problem and showing the Riesz property of a family of functions related to Cauchy problems for some integrodifferential equations, we obtain a general boundary controllability theorem for these second order evolutional control systems. This controllability theorem is applicable to various concrete 1D viscoelastic systems and recovers some previous related results. It is worth noting that Riesz sequences can be used for numerical computations of the control functions and the identification of new Riesz sequence is of independent interest for the basis-function theory. Moreover, using the Riesz sequences, we obtain the existence and uniqueness of (weak) solutions to these second order evolutional control systems in Hilbert spaces. Finally, we derive the exact boundary controllability of a viscoelastic beam equation, as an application of our abstract theorem.

Keywords: evolutional control system, controllability, boundary control, existence and uniqueness

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Authors: Gulden Aykinbaeva, Assem Umirzakova, Assel Makhadiyeva

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The problem of studying of young married couples in connection with a change of social institute of a family and marriage is represented very actual for family consultation, considering a family role in the development of modern society. Results of numerous researchs say that one of difficult in formation and stabilization of a matrimony is the period of a young family. This period is characterized by various processes of integration, adaptation and emotional compatibility of spouses. The young family in it the period endures the first standard crisis which postpones a print for the further development of the family scenario. Emergence new, earlier not existing, systems of values render a huge value on the process of formation of a young family and each of spouses separately. Possibly to solve the set family tasks at the development of the uniform system of the family relations in which socially mature persons capable to consider a family as the creativity of each other act as subjects. Due to the research objective in work the following techniques were used: a questionnaire of satisfaction with V. V. Stolin's marriage and A. N. Volkova's technique directed on detection of coherence of family values and role installations in a married couple, and also content – the analysis. Development of an internal basis of a family on mutual clearing of values is important during the work with married couples. 'The mature view' of the partner in the marriage union provides coherence between the expected and real behavior of the partner that is important for the realization of the purposes of adaptation in a family. For research of communication of the data obtained by means of A. N. Volkova's techniques, V. V. Stolina and content – the analysis, the correlation analysis, with the application of the criterion of Spirmen was used. The analysis of results of the conducted research allowed us to determine the number of consistent patterns: 1. Nature of change of satisfaction with marriage at spouses testifies that the matrimonial relations undergo high-quality changes at different stages of formation of a young family. 2. The matrimonial relations in the course of their development, formation and functioning in young marriage undergo considerable changes on psychological, social and psychological and insignificant — at the psychophysiological and sociocultural levels. The material received by us allows to plan ways of further detailed researches of the development of the matrimonial relations not only in the young marriage but also at further stages of development of a matrimony. We believe that the results received in this research can be almost applied at creation of algorithms of selection of marriage partners, at diagnostics of character and the maintenance of matrimonial disharmonies, at the forecast of stability of marriage and a family.

Keywords: married couples, formation of the young family, psychological consultation, matrimony

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Authors: D. S. Palimkar

Abstract:

Random fixed point theory has received much attention in recent years, and it is needed for the study of various classes of random equations. The study of random fixed point theorems was initiated by the Prague school of probabilistic in the 1950s. The existence and uniqueness of fixed points for the self-maps of a metric space by altering distances between the points with the use of a control function is an interesting aspect in the classical fixed point theory. In a new category of fixed point problems for a single self-map with the help of a control function that alters the distance between two points in a metric space which they called an altering distance function. In this paper, we prove the results of existence of random common fixed point and its uniqueness for a pair of random mappings under weakly contractive condition for generalizing alter distance function in polish spaces using Random Common Fixed Point Theorem for Generalized Weakly Contractions.

Keywords: Polish space, random common fixed point theorem, weakly contractive mapping, altering function

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Authors: Eugene Benilov, Mikhail Benilov

Abstract:

The Enskog-Vlasov (EV) equation is a widely used semi-phenomenological model of gas/liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H-theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.

Keywords: Enskog collision integral, hard spheres, kinetic equation, phase transition

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Authors: Ather Saeed, Arif Khan, Jeffrey Gosper

Abstract:

Sensor devices are prone to errors and sudden node failures, which are difficult to detect in a timely manner when deployed in real-time, hazardous, large-scale harsh environments and in medical emergencies. Therefore, the loss of data can be life-threatening when the sensed phenomenon is not disseminated due to sudden node failure, battery depletion or temporary malfunctioning. We introduce a set of partial differential equations for localizing faults, similar to Green’s and Maxwell’s equations used in Electrostatics and Electromagnetism. We introduce a node organization and clustering scheme for self-stabilizing sensor networks. Green’s theorem is applied to regions where the curve is closed and continuously differentiable to ensure network connectivity. Experimental results show that the proposed GTFD (Green’s Theorem fault-detection and Self-stabilization) protocol not only detects faulty nodes but also accurately generates network stability graphs where urgent intervention is required for dynamically self-stabilizing the network.

Keywords: Green’s Theorem, self-stabilization, fault-localization, RSSI, WSN, clustering

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Authors: Hichem Ramoul

Abstract:

In this work, we introduce a new type of contractive maps and we establish a new fixed point theorem for the class of almost θ-contractions (more general than the class of almost contractions) in a complete generalized metric space. The major novelty of our work is to prove a new fixed point result by weakening some hypotheses imposed on the function θ which will change completely the classical technique used in the literature review to prove fixed point theorems for almost θ-contractions in a complete generalized metric space.

Keywords: almost contraction, almost θ-contraction, fixed point, generalized metric space

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Authors: Ting Li Liu

Abstract:

‘Leftover woman’ or ‘3S’ woman is the term used to describe a well-educated, high income, independent woman who is single and never married around 30 years in Chinese society. With the naming of this demographic of ‘leftover women’, their family, dating culture, mate selection and marriage attract public concern. Massive media representations of ‘leftover women’ occur daily; the research aims to present several media representations of women’s anxiety about their singlehood and related marital issues around thirty. The research triangulates two areas of media representation of ‘leftover women’: films and audience reviews on ‘Douban Movie’ website. Drawing on traditional media studies, Fairclough’s critical discourse analysis combined with multimodal techniques is applied to the research to analyze the representations of ‘leftover women’ and their implications for marital culture in China, in conjunction with a feminist perspective. The conference paper will discuss two case studies: the film ‘The last woman standing’ and ‘I Do’. Paying attention to different aspects of ‘leftover women’, the research aims to re-examine the representations of ‘leftover women’ in selected scenes, such as their age anxiety, family, marriage, dating process, careers, etc. The paper also includes public beliefs about ‘leftover women’ from online audience reviews. In conclusion, the emergence of ‘leftover women’ is a reflection of Chinese tradition’s impact on people’s lives and new changes in Chinese families and their attitude to marriage.

Keywords: leftover women, marriage, family, media culture, China

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Authors: Muhammad Sufian Jusoh, Mesliza Mohamed

Abstract:

In this paper, we investigate the existence of positive solutions for a Dirichlet second order boundary value problem by applying the Krasnosel'skii fixed point theorem on compression and expansion of cones.

Keywords: Krasnosel'skii fixed point theorem, positive solutions, Dirichlet boundary value problem, Dirichlet second order boundary problem

Procedia PDF Downloads 412