Nonlinear Bihari Type Integral Inequalities with Maxima

Some new nonlinear integral inequalities that involve the maximum of the unknown scalar function of one variable are solved. The considered inequalities are generalizations of the classical nonlinear integral inequality of Bihari. The importance of these integral inequalities is defined by their wide applications in qualitative investigations of differential equations with "maxima" and it is illustrated by some direct applications.

Direct and Converse Theorems for Generalized Bernstein-Type Operators

2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.

Noninear Integral Inequalities Involving Maxima

Снежана Христова, Кремена Стефанова, Лозанка Тренкова - В статията се изучават някои интегрални неравенства, които съдържат макси-мума на неизвестната функция на една променлива. Разглежданите неравенства са обобщения на класическото неравенство на Бихари. Значимостта на тези интегрални неравенства се дълже на широкото им приложение при качественото изследванене на различни свойства на решенията на диференциални уравнения с “максимум” и е илюстрирано с някои директни приложения.

Integral Inequalities and Applications to Partial Differential Equations with “Maxima”

Кремена В. Стефанова - В тази статия са разрешени някои нелинейни интегрални неравенства, които включват максимума на неизвестната функция на две променливи. Разгледаните неравенства представляват обобщения на класическото неравенство на Гронуол-Белман. Значението на тези интегрални неравенства се определя от широките им приложения в качествените изследвания на частните диференциални уравнения с “максимуми” и е илюстрирано чрез някои директни приложения.

Some Coefficient Estimates for Polynomials on the Unit Interval

2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.

Factors positively influencing academically successful, highly motivated African -American high school students

The purpose of this study is two-fold: (1) to investigate the common factors positively influencing academically successful, highly motivated African-American high school students in their educational pursuits; and (2) to determine ways in which educators can facilitate an increased positive impact on minority students' achievement motivation and transition to higher education. ^ Three sources of data inform the qualitative study. Short autobiographical essays address the topic of antecedent factors influencing the students' selection of an academic program of study. Individual interviews using a semi-structured format elicit discussion of prior experiences and influences related to the research sub-questions. Focus group interviews elicit discussion of emergent patterns perceived by the researcher from the autobiographical essays and individual interviews. ^ Results indicate a generic model for success for high achieving African-American students. Students prioritize education as a means to success in life. They receive strong support for educational aspirations from at least one adult within the home. The students are focused on a professional career in the future. The students realize and desire the financial benefits of academic success. The students desire academic challenge. Students have feelings of control over their academic choices; however, they frequently seek the counsel of family members. Prior experience in honors, gifted, or magnet programs did not meet needs. ^ Recommendations for improved educational experiences include: Increase teacher and counselor responsiveness to students. Provide classroom activities which afford more interaction among the students and teacher and relate curriculum to topics of interest. Increase involvement of parents and Black community members in establishing goals and visions of opportunity. Recognize and revere diversity among students within the classroom environment. Set a climate that assumes more individual student responsibility and sets higher academic expectations. ^ The factors influencing academically successful, highly motivated African-American high school students echo the patterns of experiences of many groups. Pride in achievement, emotional support for efforts, expectations of success, independence in thought, and consternation with mediocrity and malaise drive the students to excel academically just like all others who succeed. ^

Reanimação neonatal: capacitação de profissionais de saúde com base na aprendizagem baseada em problemas

In whole world, including in Brazil, there is an absence of professionals who are able to be present at the moment of birth and give to the newborn the cares that they need to because either an absence of opportunity or inappropriate training to those professionals. This master´s thesis describes a construction and application of a neonatal resuscitation course that uses the problem based learning (PBL) methodology. The course has done in two meetings, one for the tutorial session, and another for practice session. The students were divided in groups of eight students each, under supervision of two teachers with experience in PBL methodology. The experience was considered successfully because there were students involvement and motivation. Some course aspects were rebuilt for its upgrading, like the correct use of methodology and building of custom educational material for students learning necessity. It suggests that the course can be used by the medical and nursing schools and perhaps other kind of health courses.

A desigualdade espacial do Baixo Peso ao Nascer no Brasil

Low birth weight (LBW) is a risk factor for neonatal and infant morbidity and mortality. In Brazil the highest percentages of low birth weight occur in regions of higher socio-economic status. The scope of this article is to ascertain the spatial distribution of low birth weight rates and the correlation with social and service indicators. The scale is ecological taking all the Brazilian states as units of analysis. The spatial analysis technique is the methodology used together with data from SINASC, IPEA and IBGE for 2009. Higher rates of low birth weight are found in the south/southeastern states (Global Moran: 0.267, p = 0.02). Clusters of the high-high type in the Southeast and of the low-low variety in states in the Amazon region are detected. The spatial inequality of low birth weight reflects the socio-economic conditions of the states. More developed regions have higher rates of low birth weight, therefore, the presence of the service and its use decrease infant mortality and increase LBW.

(Table 3) Mediterranean core-top d18O values for various planktonic foraminiferal species

A box model is presented to simulate changes in Mediterranean long-term average salinity and d18O over the past 20,000 years. Simulations are validated by comparison with observations. Sensitivity tests illustrate robustness with respect to the main assumptions and uncertainties. The results show that relative humidity over the Mediterranean remained relatively constant around 70%, apparently narrowly constrained to the lower end of the range observed globally over sea surfaces by the basin's land-locked character. Isotopic depletion in run off, relative to the present, is identified as the main potential cause of depletions in the Mediterranean d18O record. Also, slight increases in relative humidity (of the order of 5%) might have caused very pronounced isotopic depletions, such as that in sapropel S5 of the penultimate interglacial maximum. The model shows distinctly non proportional responses of d18O and salinity to environmental change, which argues against the use of isotope residuals in Mediterranean paleosalinity reconstructions.

Leading from the Edge: Marginal Leadership at Cultural Crossroads

If a church reflects its larger community, it will have more dynamic interactions among different people. Current U.S. communities consist of very diverse people who have different socioeconomic and cultural backgrounds. Since the mid 20th century, various immigrant communities who have dissimilar cultural, religious, and linguistic traditions have accelerated the need of change in American churches. The drastic cultural change has demanded churches to equip their lay and clergy leaders with multicultural competencies for effective ministries.

My thesis explores imaginative leadership in cultural crossroads. Emphasizing the leadership imagination of cross-cultural ministry, I approach it in biblical, theological, and missional perspectives. In this dynamic cultural milieu, the study topic may help the church renew its ecclesial purpose by seeing cross-cultural ministry as a creative opportunity to reach out to more diverse people of God. I begin with a conceptual framework for cross-cultural ministry and cultural intelligence. Then I explain why cross-cultural ministry is significant and how it enhances the spirit of Christ Jesus. As I develop the thesis, I discuss leadership challenge and development in the cross-cultural ministry context. This thesis may contribute to equipping lay and clergy leaders by overcoming the homogeneous ‘in-group’ mindset in the church.

The primary focus is on developing marginal leadership of church in the post-Christendom era. Church leaders must creatively hold the tension between the current church context and Christian faith resources and seek a hopeful resolution as a third way through integrative thought process. While conventional leadership emphasizes a better choice out of the given options, marginal leadership takes time for integrative thought process to seek a new direction for the future. Conventional leaders take the center with their power, status, and prestige, but marginal leaders position themselves on the edge. Leading from the edge is a distinctive cross-cultural leadership and is based on the servant leadership of Jesus Christ who put himself as a servant for the marginalized. By serving and relating to others on the margin, this imaginative leadership may make appropriate changes desired in today’s American churches.

In addition to academic research, I looked into the realities of cross-cultural leadership in the local churches through congregational studies. I speculated that church leadership involves both laity and clergy and that it can be enhanced. All Christians are called to serve the Lord according to their gifts, and it is crucial for lay and clergy persons to develop their leadership character and skills. In particular, as humans are contextualized with their own cultures, church leaders often confront great challenges in cross-cultural or multicultural situations. Through critical thoughts and imaginative leadership strategies, however, they can overcome intrinsic human prejudice and obstacles.

Through the thesis project, I have reached four significant conclusions. First, cultural intelligence is an essential leadership capacity for all church leaders. As the church consists of more diverse cultural people today, its leaders need to have cultural competencies. In particular, cross-cultural leaders must be equipped with cultural intelligence. Cross-cultural ministry is not a simple byproduct of social change, but a creative strategy to open a door to bring God’s reconciliation among diverse people. Accordingly, church leaders are to be well prepared to effectively cope with the challenges of cultural interactions. Second, both lay and clergy leaders’ imaginative leadership is crucial for leading the congregation. While conventional leadership puts an emphasis on selecting a better choice based on the principle of opportunity cost, imaginative leaders critically consider the present church situations and Christian faith values together in integrative thoughts and pursue a third way as the congregation’s future hope. Third, cross-cultural leadership has a unique characteristic of leading from the edge and promotes God’s justice and peaceable relationships among different people. By leading the congregation from the edge, church leaders may experience the heart of Christ Jesus who became the friend of the marginalized. Fourth, the ‘homogeneous unit principle’ theory has its limit for today’s complex ‘inter-group’ community context. The church must be a welcoming and embracing faith community for all people. Cross-cultural ministry may become an entrance door for a more peaceable and reconciling life among different people. By building solidarity with others, the church may experience a kingdom reality.

This thesis focuses on the mission of the church and marginal leadership of church leaders in ever-changing cultural crossroads. The church becomes a hope in the broken and apathetic world, and Christians are called to build relationships inside and beyond the church. It is significant for church leaders to be faithfully present on the margin and relate to diverse people. By consistently positioning themselves on the margin, they can build relationships with new and diverse people and shape a faithful life pattern for others.