Chlodovsky showed that if x0 is a point of discontinuity of the first kind of the function f, then the Bernstein polynomials Bn(f, x0) converge to the average of the one-sided limits on the right and on the left of the function f at the point x0. In 2009, Telyakovskii in (5) extended the asymptotic formulas for the deviations of the Bernstein polynomials from the differentiable functions at the first-kind discontinuity points of the highest derivatives of even order and demonstrated the same result fails for the odd order case. Then in 2010, Tonkov in (6) found the right formulation and proved the result that was missing in the odd-order case. It turned out that the limit in the odd order case is related to the jump of the highest derivative. The proofs in these two cases look similar but have many subtle differences, so it is desirable to find out if there is a unifying principle for treating both cases. In this thesis, we obtain a unified formulation and proof for the asymptotic results of both Telyakovskii and Tonkov and discuss extension of these results in the case where the highest derivative of the function is only assumed to be bounded at the point under study.

No description available.

by Nancy Cheung. / Abstract in Chinese. / Thesis (M.B.A.)--Chinese University of Hong Kong, 1980. / Bibliography: leaves 84-87.

Rampant violations of the International Code of Marketing of Breast-milk Substitutes were reported. Evidence showed that the infant formula industry keeps on finding ways to promote their products aggressively. This project proposes to review marketing practice of infant formula industry and marketing regulations in regions with various degrees of the code implementation. Relevant electronic reports published by the Hong Kong government were searched. A literature search of the PubMed and Google Scholar were performed. Research papers given by local baby formula industry were obtained from the corresponding websites. Local Chinese newspapers were also used in this project. The Hong Kong Code of Marketing of Breast-milk Substitutes should never only rely on self-disciplines of infant formula industry. Also, strict enforcement of the regulatory provisions and compliance monitoring or reporting systems, accompanied by training and systematic education are the essential elements for tackling the marketing malpractice of infant formula industry. Furthermore, a continuing constructive and responsible cooperation between the Hong Kong government and different stakeholders is also a critical factor to protect infants and parents from the marketing malpractice. / published_or_final_version / Public Health / Master / Master of Public Health

<p>Interception av snö eller regn på trädkronor är en viktig del av det hydrologiska kretsloppet. Upp till en tredjedel av all snö som faller över skogsområden når aldrig marken på grund av stora avdunstningsförluster av interceptionsförrådet, vilket minskar vårflöden i älvar. Goda prognoser av dessa flöden är viktiga för vattenkraftsindustrin. För att kunna förbättra modeller, i vilka interceptions-avdunstningsprocessen ingår, krävs lämpliga mätmetoder för interceptionförrådet av snö. Syftet med detta arbete var att undersöka om impulsradarutrustning kan användas för att mäta interceptionsförrådet av snö på barrträd. Metoden bygger på att mäta hastigheten och utsläckningen hos en elektromagnetisk impulsvåg, vilken skickas från en sändarantenn genom ett avsnitt skog till en mottagarantenn. Både utsläckningen och hastigheten påverkas av snö och vatten på trädens kronor, och kan med så kallade blandningsformler relateras till mängd vatten. Blandningsformler beskriver de elektromagnetiska egenskaperna hos heterogena material. Laboratorietester visade att interception av flytande vatten på små trädkronor gav upphov till förändringar av impulsvågens hastighet och utsläckning mätbara med radarutrustningen. Uppskattningar av mängden intercepterat vatten från radarmätningarna gav en överskattning jämfört med oberoende referensmätningar, däremot stämde relativa variationer väl överens mellan mätningarna. Tydliga samband mellan impulsvågens utsläckning och mängden intercepterat vatten kunde inte bestämmas från experimenten. Utsläckningsresultaten var svårtolkade och lämpliga blandningsformler hittades inte i litteraturen. Metoden testades även en vecka i fält i norra Sverige. Trots att installationen inte var den bästa visade resultaten ändå god överensstämmelse mellan uppskattade förändringar av interceptionsförrådet från radarmätningarna, och observerade väderförändringar samt oberoende referensmätningar med en trädvågsanordning. Resultaten tyder på att metoden kan ge goda uppskattningar av interceptionsförrådet, då en väl fungerande installation av utrustningen används och efter att vidare kalibreringsförsök genomförts.</p> / <p>Interception of rain or snow in forest canopies is an important component of the hydrological cycle. Up to one third of the total winter precipitation never reaches the ground in forest areas due to evaporation losses of intercepted snow, which reduces spring-time water flow in rivers. Accurate spring flow predictions are important for the hydro-power industry. Appropriate measurement methods of intercepted snow are needed in order to improve models involving the interception evaporation process. The aim of this study was to explore the possibilities of an impulse radar system to measure the snow interception storage on coniferous trees. The method is based on measurements of the velocity and attenuation of an electromagnetic impulse wave, generated in a transmitting antenna and sent through a forest section and detected by a receiving antenna. The attenuation and velocity is affected by ice and water in the canopy air space, and can be related to amounts of water using so-called mixing formulas that describe the average electromagnetic properties of heterogeneous materials. Controlled laboratory measurements on small canopies showed that interception of liquid water was well above the detectable limits of the radar system, with respect to both attenuation and velocity changes. Estimations of the mass of intercepted water based on velocity changes overestimated the reference measurements, but relative variations were well captured. No clear relation could be found between amount of water on canopies and impulse wave attenuation from the experiments. The attenuation results were difficult to interpret, and appropriate mixing formulas were not found in the literature. The method was further tested for one week under field conditions in northern Sweden. In spite of a non-optimal equipment installation results of estimated changes of the interception storage showed a good agreement with observed weather variations and reference measurements using a tree weighing device. The method can have good conditions to give correct estimations of the snow interception storage, using appropriate installation and further calibration measurements.</p>

Notre recherche a pour objectif d’étudier le comportement du dirigeant des sociétés cotées en France lorsqu’il diffuse l’information aux investisseurs. Nous considérons que le dirigeant adopte un comportement « opportuniste », défini par la théorie de la gestion des impressions. Ainsi, le dirigeant cache les « mauvaises informations » notamment la mauvaise performance financière, qui peuvent avoir une influence sur le cours de l’action au travers de la lisibilité narrative. L’objet de cette recherche est formulé sous la question suivante : Quels sont les déterminants de la lisibilité de l’information diffusée par les sociétés cotées en France ? Nous étudions 192 sociétés cotées en France au CAC All entre 2007 et 2012. Notre échantillon est composé de 1152 observations entreprise/année concernant l’étude du rapport de gestion et 1012 observations entreprise/année concernant l’étude le mot du Président. Nous mesurons la lisibilité au travers de l’indice de Flesch (adapté à la langue française) issu de la littérature informatique en linguistique et au travers de la longueur des parties étudiées. Ce travail met en exergue le comportement opportuniste de diffusion de l’information des dirigeants. Les résultats de l’analyse quantitative indiquent d’une part que la performance financière influence la lisibilité du rapport annuel et d’autre part que l’obligation de diffuser une information lisible n’influence pas la lisibilité du rapport annuel des sociétés cotées en France. / This research aims to study the manager’s behavior of listed companies in France when manager discloses information to investors. Based on the theory of impression management, we consider manager is "opportunistic". In this way, manager obfuscates the “bad news” especially bad financial performance that can have an impact on the share price trough narrative readability. The purpose of this research is formulated by the following question: What are determinants of disclosed information readability by listed companies in France? We investigate 192 french listed companies in the CAC All between 2007 and 2012. This yields a sample of 1,152 firm-years with MD&A sections and 1,012 firm-years with Chairmen’s statements. We measure the readability using the Flesch formulas (adapted to the French language) from the computational linguistic literature and the length of the annual report parts. This research highlights manager is likely to have opportunistic behavior when he discloses information to investors. Results from quantitative analysis suggest both financial performance affects the readability of annual report and obligation to disclose readable information does not affect the readability of the annual report of listed companies in France.

by Sze Tsz-leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1993. / Includes bibliographical references (leaves 91). / Chapter Chapter 1 --- Introduction / Chapter 1.1 --- Basic concepts of Monte Carlo integration --- p.1 / Chapter 1.1.1 --- Importance sampling --- p.4 / Chapter 1.1.2 --- Control variate --- p.5 / Chapter 1.1.3 --- Antithetic variate --- p.6 / Chapter 1.1.4 --- Stratified sampling --- p.7 / Chapter 1.1.5 --- Biased Estimator --- p.10 / Chapter 1.2 --- Some special methods in Monte Carlo integration --- p.11 / Chapter 1.2.1 --- Haber´ةs modified Monte Carlo quadrature I --- p.11 / Chapter 1.2.2 --- Haber's modified Monte Carlo quadrature II --- p.11 / Chapter 1.2.3 --- Weighted Monte Carlo integration --- p.12 / Chapter 1.2.4 --- Adaptive importance sampling --- p.13 / Chapter Chapter 2 --- New methods / Chapter 2.1 --- The use of Newton Cotes quadrature formulae in stage one --- p.17 / Chapter 2.1.1 --- Using one-dimensional trapezoidal rule --- p.17 / Chapter 2.1.2 --- Using two-dimensional or higher dimensional product trapezoidal rule --- p.21 / Chapter 2.1.3 --- Extension to higher order one-dimensional Newton Cotes formulae --- p.32 / Chapter 2.2 --- The use of Guass quadrature rule in stage one --- p.45 / Chapter 2.3 --- Some variations of the new methods --- p.56 / Chapter 2.3.1 --- Using probability points in both stages --- p.56 / Chapter 2.3.2 --- Importance sampling --- p.59 / Chapter 2.3.2.1 --- Triangular distribution --- p.60 / Chapter 2.3.2.2 --- Beta distribution --- p.64 / Chapter Chapter 3 --- Examples / Chapter 3.1 --- Example one: using trapezoidal rule as basic rule --- p.73 / Chapter 3.1.1 --- One-dimensional case --- p.73 / Chapter 3.1.2 --- Two-dimensional case --- p.80 / Chapter 3.2 --- Example two: Using Simpson's 3/8 rule as basic rule --- p.85 / Chapter 3.3 --- Example three： Using Guass rule as basic rule --- p.86 / Chapter Chapter 4 --- Conclusion and discussions --- p.88 / Reference --- p.91

In this thesis, we prove that local genericity implies globally genericity for the quasi-split unitary group U3 for a quadratic extension of number fields E/F. We follow [Fli1992] and [GJR2001] closely, using the relative trace formula approach. Our main result is the existence of smooth transfer for the relative trace formulae in [GJR2001], which is circumvented there. The basic idea is to compute the Mellin transform of Shalika germ functions and show that they are equal in the unitary case and the general linear case.

We provide a new relative trace formula approach to the theorem of Waldspurger on toric periods for GL₂, with possible applications to the global Gross-Prasad conjecture for orthogonal groups.

Thesis (MPH) --University of Limpopo, 2011 / The aim of the study was to assess breastfeeding practices of healthcare providers at level one hospitals in Capricorn District of Limpopo province. Methods: Five level one district hospitals within the Capricorn district of Limpopo province were the study sites. Two focus groups with members ranging from three to nine members were conducted. Two managers per hospital were interviewed. In both focus groups and in-depth interviews an audio tape recorder was used. This was transcribed and from the first transcription categories were developed. These formed a basis for data analysis, although the categories had undergone transformation as the analysis unfolded. Results: The study found that there are three practices that are adopted with regard to breastfeeding practices. Most employees choose to breastfeed as the first choice in baby feeding. Majority succeeded in breastfeeding their babies for sometime. There are those who feed their babies’ breast milk as the only source of milk during infancy. Others practice mixed feeding, where the baby is given breast milk and supplemented by formula. However, others fed their babies formula only. They indicate that this was not the initial choice in baby feeding. Conclusion: Healthcare providers have the same needs as the rest of the population with regard to breastfeeding and work. Their challenges are more work-related; which affect their decision whether to breastfeed or not to.