Interpolation with circular basis functions

In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which enables an investigation into the stability and accuracy of the method. This work is a further extension and application of the research of Cheney, Light and Xu ([W.A. Light and E.W. Cheney, J. Math. Anal. Appl., 168:110–130, 1992] and [Y. Xu and E.W. Cheney, Computers Math. Applic., 24:201–215, 1992]) from the early nineties

Kontruksi gerak brown

ABSTRAK Gerak Brown dengan mean p dan variansi a2 adalah suatu proses stokastik ( Xt t 0 ), dengan Xt.f. - Xt merupakan penambahan - penambahan selaina interval waktu (t,t+s] untuk s > 0. Karena itu, Xtfs Xt adalah Gaussian dengan mean p(s) dan variansi az(s), dan penambahan Xt+s bebas dengan ( Xu ; 0 u 5 t ). Dengan pengulangan dan interpolasi linier pada interval waktu berhingga, yaitu [0,1], diperoleh model dari suatu ukuran peluang P pada (O, Y) := ( ER 0 CO [ie CO ) ), sedemikian sehingga B = ( Bt,'tB0 5 t < 03 ) adalah gerak Brown dimensi satu standar

What are the possible futures impacts of patient opinion leaders on healthcare and healthcare stakeholders ?

The aim of this project is to find out what are the potential future impacts of Patient Opinion Leaders (POLS) on healthcare and healthcare stakeholders. Because there exists many different definitions for POLS, the following definition will be consistently used for the sake of this project: A Patient Opinion Leader is a patient that suffers (or has suffered) from (a) chronic disease(s), either mental or physical, and that shares his/her knowledge about his/her condition and treatment on the Internet through blogs, videos, social media or community websites. In order to conduct my project, I interviewed ten people with close ties to the healthcare industry. To conduct the interviews, I used the Futures Wheel method. The goal of this method is to draft a wheel that is used to identify secondary and tertiary consequences of a certain event (here: the future of POLS). Once all of the ten interviews had been conducted and the final Futures Wheel drafted, the data from the wheels was input into the Gephi computer software by Mr. Pierre- Alexandre Fonta, Big Data – engineer, Data Scientist and assistant at the University of Applied Sciences in Geneva. Gephi is an “interactive visualization and exploration platform for all kinds of networks and complex systems, dynamic and hierarchical graphs”1. It is used to develop cartographies in order to visualize a certain event or question. Once the final cartography was elaborated, I proceeded to discuss it with three of the ten individuals I had interviewed. Each of the three people interviewed came up with a realistic and feasible scenario for the future in regards to Patient Opinion Leaders

Spectral Functions in Holographic Renormalization Group Flows

The spectrum of two-point functions in a holographic renormalization group flow from an ultraviolet (UV) to an infrared (IR) conformal fixed point is necessarily continuous. For a toy model, the spectral function does not only show the expected UV and IR behaviours, but other interesting features such as sharp peaks and oscillations in the UV. The spectral functions for the SU(3)xU(1) flow in AdS_4/CFT_3 and the SU(2)xU(1) flow in AdS_5/CFT_4 are calculated numerically. They exhibit a simple cross-over behaviour and reproduce the conformal dimensions of the dual operators in the UV and IR conformal phases.Comment: 20 pages, 6 figures v2: added referene

On fuzzy non-discrimination

We show that the incompatibility between the Pareto principle and the notion of non-discrimination as presented in Xu (2000) continues to hold when the individuals have exact preferences and the social preference relation is allowed to be a reflexive and transitive fuzzy binary relation. Our result can be seen as a strengthening of the result of Xu in two directions: (1) the range of the aggregation rule is enlarged and (2) a weaker condition on non-discrimination is used.fuzzy preferences

A Study of the Feasibility of Xu Yuanchong’s Theories of Literary Translation and of His Findings

By using the method of qualitative analysis including comparison and by analyzing some typical examples this paper discusses and proves Xu s principle of creative translation and that of excellence focusing on the feasibility of his three-beauty principle beauty in meaning in sound and in form The typical examples are analyzed in detail mainly from the perspective of prosody Besides by employing the deductive approach the paper explores and explains Xu s findings through his translation of classical literature In addition the paper emphasizes that the principle of creative translationand that of excellence and thethree-beauty criterion are closely associated withone another The former two help to ensure the implementation of the three-beauty standard Finally the paper states that they are all proved to be objective scientific practical and widely applicabl