The least square values and the shapley value for cooperative TU games

The main result proved in this paper is the fact that any Least Square Value is the Shapley value of a game obtained from the given game by rescaling. An Average per capita formula for Least Square Values, similar to the formula for the Shapley value (Dragan (1992)), will lead to this conclusion and allow a parallel computation for these values. The potential for the Least Square Values, a potential basis relative to Least Square Values and an approach similar to the one used for the Shapley value is allowing us to solve the Inverse problem for Least Square Values.     

Undistorted Cyclic Voltammograms at Scan Rates up to 2.5 MVs~(-1) through Positive Feedback Compensation of Ohmic Drop

Introduction Though being the simplest voltammetric technique, cyclic voltammetry provides lots of electrochemical information especially in the study of the thermody-namic and kinetic processes and the detection of elec-trogenerated transient intermediates.1 Clearly, the more rapid the scan rate is employed, the faster the reactions can be studied. Indeed, a timescale RT/Fν～25 ns of the Faradaic response will be reached corresponding to a scan rateνof 1 MVs-1, which means that the method…     

Probabilistic models for medical insurance claims

The paper develops two probabilistic models for claim size in health insurance based on the claims of families and individuals covered by the policy. First, general models for the numbers of families and persons covered by a medical insurance are developed. These are then used to construct models for claim size. Applications of these general models are then analysed and discussed. Copyright © 2007 John Wiley & Sons, Ltd.     

Calculation of the emission power per unit volume of some elemental components in an optically transparent plasma

We present the results of a calculation of the emission power per unit volume and the contribution of resonance lines to the total emission of HI, NI, CI, OI atoms and also NII, CII, OII ions in the temperature range 8000 K to 20,000 K. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 5, pp. 692–694, September–October, 2007.     

HABITAT PATCH OCCUPANCY DYNAMICS OF GLAUCOUS‐WINGED GULLS (LARUS GLAUCESCENS) I: A DISCRETE‐TIME MODEL

ABSTRACT. Diurnal habitat occupancy dynamics of Glaucous‐winged Gulls were evaluated in a system of six habitats on and around Protection Island, Washington. Data were collected on the rates of gull movement between habitat patches, and from these data the probabilities of transitions between habitats were estimated as functions of tide height and time of day. A discrete‐time matrix model based on the transition probabilities was used to generate habitat occupancy predictions, which were then compared to hourly census data. All model parameters were estimated directly from data rather than through model fitting. The model made reasonable predictions for two of the six habitats and explained 45% of the variability in the data from 2003. The construction and testing of mathematical models that predict occupancies in multiple habitats may play increasingly important roles in the understanding and management of animal populations within complex environments.     

基于内部竞争的保险公司的风险管理

讨论了具有内部竞争的保险公司的风险管理问题,保险公司的目标是:保险公司用于(股东)分红的净收益的期望现值最大。根据B e llm an最优性原理,得出了分红情况下的B e llm an偏微分方程,通过对所得方程的分析给出了解析解和最有控制策略。     

Surfactant Chain Length Effect on the Structural Parameters of Nonionic Microemulsions

In this study we estimated the structural parameters of (water+propylene glycol)/sucrose esters/(benzaldhyde+ethanol) systems. The weight ratios of water/propylene glycol and that of benzaldhyde/ethanol equal 2 and 1, respectively. The sucrose esters were sucrose laurates (L595, L1695, and SM1200), sucrose myristate (M1695), sucrose palmitate (P1670), sucrose oleate (O1570), and sucrose stearate (S1570). The pseudoternary phase behavior at 37°C was explored to determine the extension of the microemulsion phase regions. A one‐phase microemulsion region extending from the oil rich region to the water rich corner was observed in these systems. It was found that minor changes in the surfactant chain length, structure, and composition suffice to provoke a considerable change in the aggregation number, core radius and interfacial area per surfactant and cosurfactant molecules head groups in the formed microemulsions. The interfacial area per surfactant head group decreases with the increase in the surfactant chain length. For a sucrose ester with a given chain length the interfacial area per surfactant head group decreases with the increase in the surfactant monoester content. The interfacial area per surfactant head group increases with the increase in the surfactant concentration and the water core volume in the formulated microemulsions.     

复合二项模型下盈余到达一给定水平的时间分析

利用鞅论的方法得到了复合二项模型中盈余过程首次和末次到达一给定水平的时间的分布特征,并导出了几个概率等式,另外,也讨论了其它一些相关量的概率特征.     

Elektronentheorie auf dem Smartphone

We introduce a new tool for the performance of Hueckel molecular orbital calculations on a smartphone using a simple graphical input. It produces all routine output expected from a Hueckel calculation. Advanced users may also study things like Moebius rings, hetero systems, or Pauli‐antisymmetry constraints in monocycles. In short, in addition to its main use in teaching, the app can also be employed for fast estimate in research, be it only to assess whether the application of state‐of‐the‐art quantum chemical calculations may be warranted.