scholarly journals Evolution of the Minimax Inequality of Ky Fan

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Sehie Park

There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period. Hence, it would be necessary to seek such relationship. In this paper, we give several generalizations of the 1984 inequality and some known applications in order to clarify the close relationship among them. Some new types of minimax inequalities are added.

1997 ◽  
Vol 1 (3) ◽  
pp. 224-240 ◽  
Author(s):  
John H. Harvey ◽  
Julia Omarzu

In this theoretical analysis, we argue that a process referred to as minding is essential for a couple to feel mutually close and satisfied in a close relationship overa long period. Minding represents a package of mutual self-disclosure, other forms of goal-oriented behavior aimed at facilitating the relationship, and attributions about self's and other's motivations, intentions, and effort in the relationship. Self-disclosure and attribution activities in minding are aimed at getting to know the other, trying to understand the other's motivations and deeper dispositions as they pertain to the relationship, and showing respect and acceptance for knowledge gained about other. We link the concept of minding to other major ideas and literatures about how couples achieve closeness: self-disclosure and social penetration, intimacy, empathy and empathic accuracy, and love and self-expansion. We argue that the minding process articulated here has not previously been delineated and that it is a useful composite notion about essential steps in bonding among humans. We also argue that the minding concept stretches our understanding of the interface of attribution and close relationships. We present research possibilities and implications and consider possible alternative positions and counterarguments about the merits of the minding idea for close relationship satisfaction.


Author(s):  
Mau-Hsiang Shih ◽  
Kok-Keong Tan

AbstractA geometric property of convex sets which is equivalent to a minimax inequality of the Ky Fan type is formulated. This property is used directly to prove minimax inequalities of the von Neumann type, minimax inequalities of the Fan-Kneser type, and fixed point theorems for inward and outward maps.


2016 ◽  
Vol 1 (1) ◽  
pp. 19 ◽  
Author(s):  
Zakiyah Zakiyah

<p>This paper examines the chronicle of terrorism in Indonesia and the relationship between terrorism and Islamic militancy in this nation. This research focused on bombing cases from 2001 to 2012 Data was gathered through documentary research including primary and secondary resources. This research shows that after the fall of the Suharto regime in 1998, there were bomb attacks on various targets and militant extremists were able to return to Indonesia after long period of exile abroad. They started again their activities including disseminating their radical ideology, building networks and recruiting new members in Indonesia, as well as preparing for militant actions. The perpetrators of these terror attacks were mostly associated with the Islamic radical groups like <em>Jemaah Islamiah</em> and <em>Majlis Mujahidin Indonesia</em>. These two militant groups had a close relationship with <em>Darul Islam</em>, an organization founded during the colonial era that aimed to establish an Islamic state and to apply <em>Syariah</em> as a state law. In addition, both groups became a political window for al-Qaeda in Indonesia. </p>


2013 ◽  
Vol 838-841 ◽  
pp. 2219-2222
Author(s):  
He Rui Li ◽  
Kai Ting Wen

In this paper, MFC mappings is introduced and Ky Fan matching theorems for MFC mappings with transfer compactly open values are established in noncompact complete FC-metric spaces. As applications, a Fan-Browder type coincidence theorem and a minimax inequality are obtained. Our results unify, improve and generalize some known results in recent literature.


1982 ◽  
Vol 47 (03) ◽  
pp. 230-231 ◽  
Author(s):  
N K Sharma ◽  
P A Routledge ◽  
M D Rawlins ◽  
D M Davies

SummaryThe validity of a previously described technique for predicting warfarin requirements based on the anticoagulant response to a fixed loading dose was assessed prospectively in 57 patients. There was a close relationship between the predicted and initially observed daily warfarin dose required to maintain the patient within the therapeutic range for anticoagulation. The significant relationship between predicted and observed maintenance dose persisted at 4 and 12 weeks although it decreased with increasing time.The relationship between observed and predicted maintenance requirement of warfarin was not affected by the concomitant use of intermittent intravenous injections of heparin when 9 hr was allowed to elapse between the previous dose of heparin and the thrombotest estimation on which the prediction was based.It is concluded that the method is valuable in predicting an individual’s warfarin requirement, although it does not obviate the need for regular monitoring of anticoagulant control.


2016 ◽  
Vol 1 (3) ◽  
pp. 138-144
Author(s):  
Ina Edwina ◽  
Rista D Soetikno ◽  
Irma H Hikmat

Background: Tuberculosis (TB) and diabetes mellitus (DM) prevalence rates are increasing rapidly, especially in developing countries like Indonesia. There is a relationship between TB and DM that are very prominent, which is the prevalence of pulmonary TB with DM increased by 20 times compared with pulmonary TB without diabetes. Chest X-ray picture of TB patients with DM is atypical lesion. However, there are contradictories of pulmonary TB lesion on chest radiograph of DM patients. Nutritional status has a close relationship with the morbidity of DM, as well as TB.Objectives: The purpose of this study was to determine the relationship between the lesions of TB on the chest radiograph of patients who su?er from DM with their Body Mass Index (BMI) in Hasan Sadikin Hospital Bandung.Material and Methods: The study was conducted in Department of Radiology RSHS Bandung between October 2014 - February 2015. We did a consecutive sampling of chest radiograph and IMT of DM patients with clinical diagnosis of TB, then the data was analysed by Chi Square test to determine the relationship between degree of lesions on chest radiograph of pulmonary TB on patients who have DM with their BMI.Results: The results showed that adult patients with active pulmonary TB with DM mostly in the range of age 51-70 years old, equal to 62.22%, with the highest gender in men, equal to 60%. Chest radiograph of TB in patients with DM are mostly seen in people who are obese, which is 40% and the vast majority of lesions are minimal lesions that is equal to 40%.Conclusions: There is a signifcant association between pulmonary TB lesion degree with BMI, with p = 0.03


2019 ◽  
Vol 3 (2) ◽  
pp. 117-137
Author(s):  
Mustaqim Makki

Zakat merupakan salah satu sendi pokok ajaran Islam. Urgensi zakat yang merupakan anjuran agama Islam untuk menunaikan zakat dan memberikannya kepada yang berhak dengan ketentuan mencapai nishabnya, (kadar minimum harta tertentu) mempunyai nilai sangat signifikan dalam kehidupan manusia. Seorang insan yang sarat akan segala permasalahan pada fitrahnya menuntut untuk selalu berinteraksi kepada sesama, baik berupa materi maupun non materi. Zakat merupakan maliyah ijtima’iyyah yang mengandung nilai-nilai filantropi yang sangat tinggi, karena ketika mengaplikasikan kewajiban zakat kita telah membantu sesama serta mengurangi kesenjangan yang disebabkan beberapa sifat manusia diantaranya adalah sifat kikir, dengki dan iri hati. Menguatnya kembali harapan banyak kalangan terhadap implementasi filantropi Islam, baik dalam bentuk zakat, infak, sedekah, dan wakaf, memiliki keterkaitan erat dengan kondisi bangsa yang belum sepenuhnya bangkit dari keterpurukan sebagai dampak dari krisis ekonomi yang berkepanjangan. Kondisi ini berakibat kesenjangan penguasaan perekonomian antar warga negara menjadi kian lebar. Pada saat itulah, ziswaf (zakat, infak, sedekah, dan wakaf) kembali dilirik dan diharapkan menjadi alternatif solusi terhadap problem kemiskinan umat. Manusia sebagai khalifah fil ardh dalam Al Qurán menekankan muatan fungsional yang harus diemban oleh manusia dalam melaksanakan tugas-tugas kesejarahan dalam kehidupannya di muka bumi. Kaitan dengan konsep tersebut, ada dua fungsi manusia. Pertama: Manusia sebagai hamba (ábid), dituntut untuk sukses menjalin hubungan secara vertikal dalam hal ini hubungannya dengan ketuhanan (Teologis). Kedua adalah manusia sebagai khalifah, dituntut untuk sukses menjalin hubungan secara horizontal dalam hal ini hubungan terhadap manusia.Kata kunci: tafsir ayat zakat, filantropi, ekonomi keummatanAbstract:Zakat is one of the main points of Islamic teachings. The urgency of zakat which is suggested by Islam to fulfill and give it to those who are referred to with the provisions to reach their nishab, (minimum level of certain assets) has a very significant value in human life. A person who is full of all problems in his/her natural demands will always get interaction with other people, either material or non-material. Zakat is maliyah ijtima’iyyah which contains very high philanthropic values, because when applying the obligation of zakat we have helped others and reduced the gaps caused by some human traits including miser, jealousy and envy. The reinforcement of the expectations (estimation) from any levels on the implementation of Islamic philanthropy, which in the form of zakat, donation, alms and endowments, has a close relationship with the condition of the country that has not fully risen from bad economic adversity due to economic crisis. This condition causes a widening of the economic mastery among the citizens. At that moment, ziswaf (zakat, infaq, alms, and waqf) was again given a serious attentition and expected to be an alternative solution to the problem of poverty among citizens. Humans as khalifah fil ardh in the Qur'an emphasize the functional content that must be carried by humans in carrying out historical tasks in their lives on earth. In accordance with this concept, there are two human functions. First: Humans as servants (ábid), are required to succeed in establishing a vertical relationship in this case the relationship with God (Theological). Second, humans as caliphs, are required to succeed in establishing horizontal relationships in this case the relationship to humans.


EMPIRISMA ◽  
2018 ◽  
Vol 27 (1) ◽  
Author(s):  
Mohammad Arif Dan Yuli Darwati

This paper will try to explain the relationship between religion and culture. These two topics are the most important items that are inseparable in the history of human civilization from the classical to the modern period. Religion is ahuman belief system that is related to God. If the rule comes from God, then it cannot be said to be a culture, because it is not human creation, but God’s creation that is absolute. Religion is interpreted as part of the life (culture) ofindividuals or groups, each of which has the authority to understand religion and apply it. With the characteristics as indicated by Fazlur Rahman, wherever religion is located, it is hoped that it can provide guidance on values or moralsfor all activities of human life, whether social, cultural, economic or political. Not infrequently also religion becomes a determining factor in the adhesive process of social cultural interaction of the community as well as unifying thenation. Culture and religion are something different but can influence each other so that new cultures or mixing of cultures emerge. The opinion of Endang Saifudin Anshari who said in his writing that religion and culture do notinclude each other, in principle one is not part of the other and each consists of itself. Between them, of course, they are closely related like us, we see in everyday life and human life. As also seen in the close relationship between husband and wife who can give birth to a son but the husband is not part of the wife, and vice versa. Religion and culture are two different things but cannot be separated. The existence of a religion will be greatly influenced and affect thepractice of a religion in question. And conversely, a culture will be greatly influenced by the beliefs of the society in which culture develops. Therefore religion is not only an individual problem but religion is also a social affair whichultimately religious people are not only able to give birth to individual piety but also must be able to give birth to social piety.Key words: Interaction, Religion, Culture,


2020 ◽  
Author(s):  
Siti Aliifah Deka Putri

The relationship between the school and the community is essentially a very instrumental tool in fostering and developing the personal growth of students in schools. school as a social system is an integral part of a larger social system that is society. Schools and communities have a very close relationship in achieving school or educational goals effectively and efficiently. Instead the school must also support the achievement of goals or fulfillment of society, especially educational needs. So it is clear between the school and the community must be fostered a harmonious relationship.


2017 ◽  
Vol 7 (2) ◽  
pp. 159
Author(s):  
Eva Krisna

“Batombe” is an oral tradition of the Nagari Abai society at Sangir Batanghari Subdistrict, South Solok District, West Sumatra Province. Batombe is exchanging rhymes (berbalas pantun) which is performed as an entertainment on the wedding party (baralek). Batombe is identical with Great House (Rumah Gadang) Nagari Abai which is a unique house because it is a long traditional custom house that has many rooms. It reaches 21 rooms. The rhymes in batombe tends to deliver a feeling of lilting so the singers often drift into the atmosphere of the show. Therefore, as part of community life, batombe often cause a negative effects for the singers soul. This paper describes various things, such as: who batombe singer is; the time to perform this activity; the relationship between batombe and Great House (Rumah Gadang) at Nagari Abai; and the negative effects caused by batombe for the singers. This paper based on the fact that in oral tradition there is a close relationship between text and the speakers and text with context (place, time and atmosphere), a multidisciplinary approach is used in this paper, such as historical, sociological, anthropological, and psychological approach. The method used is descriptive analysis method.AbstrakBatombe adalah tradisi lisan masyarakat Nagari Abai, Kecamatan Sangir Batanghari, Kabupaten Solok Selatan, Provinsi Sumatra Barat. Batombe adalah tradisi berbalas pantun yang dilakukan sebagai hiburan pada pesta pernikahan (baralek). Batombe identik dengan rumah gadang Nagari Abai yang unik, yakni rumah adat dengan ruangan yang sangat panjang hingga 21 ruangan. Pantun-pantun batombe cenderung menyampaikan perasaan yang mendayu-dayu sehingga para pedendangnya sering hanyut ke dalam suasana pertunjukan. Oleh sebab itu, sebagai bagian dari kehidupan masyarakat, seringkali batombe menyebabkan efek negatif bagi (kejiwaan) para pedendangnya. Tulisan ini mendeskripsikan berbagai hal, seperti penutur batombe, waktu untuk melakukan batombe, hubungan batombe dengan rumah gadang di Nagari Abai, dan efek negatif yang ditimbulkan batombe bagi pedendangnya. Tulisan ini bertolak dari kenyataan bahwa pada tradisi lisan terdapat hubungan erat, antara lain seperti teks dengan penutur dan teks dengan konteks (tempat, waktu, dan suasana). Pendekatan multidisipliner digunakan pada tulisan ini, yakni pendekatan historis, sosiologis, antropologis, dan psikologis. Metode yang digunakan adalah metode analisis deskriptif.


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