Boundary Value Problem for r2d2f/dr2+f=f3r^2 d^2 f/dr^2 + f = f^3 (III): Global Solution and Asymptotics

Based on the results in the previous papers that the boundary value problem $y'' - y' + y = y^3, y(0) = 0, y(\infty) =1$ with the condition $y(x) > 0$ for $0<x<\infty$ has a unique solution $y^*(x)$, and $a^*= y^{*^{'}}(0)$ satisfies $0<a^*<1/4$, in this paper we show that $y'' - y' + y = y^3, -\infty < x < 0$, with the initial conditions $y(0) = 0, y'(0) = a^*$ has a unique solution by using functional analysis method. So we get a globally well defined bounded function $y^*(x), -\infty < x < +\infty$. The asymptotics of $y^*(x)$ as $x \to - \infty$ and as $x \to +\infty$ are obtained, and the connection formulas for the parameters in the asymptotics and the numerical simulations are also given. Then by the properties of $y^*(x)$, the solution to the boundary value problem $r^2 f'' + f = f^3, f(0)= 0, f(\infty)=1$ is well described by the asymptotics and the connection formulas.Comment: 11 pages, 2 fingure

Boundary Value Problem for r2d2f/dr2+f=f3r^2 {d^2 f/dr^2} + f = f^3 (I): Existence and Uniqueness

In this paper we study the equation $r^2 {d^2 f/dr^2} + f = f^3$ with the boundary conditions $f(1)=0$, $f(\infty)=1$ and $f(r) > 0$ for $1<r<\infty$. The existence of the solution is proved by using topological shooting argument. And the uniqueness is proved by variation method. Using the asymptotics of $f(r)$ as $r \to 1$, in the following papers we will discuss the global solution for $0<r<\infty$, and give explicit asymptotics of $f(r)$ as $r \to 0$ and as $r \to \infty$, and the connection formulas for the parameters in the asymptotics. Based on these results, we will solve the boundary value problem $f(0) =0$, $f(\infty) =1$, which is the goal of this work. Once people discuss the regular solution of this equation, this boundary value problem must be considered. This problem is useful to study the Yang-Mills potential related equations, and the method used for this equation is applicible to other similar equations.Comment: 12 page

Sensitivity of Flood Routing Models to Variations of Momentum Equation Coefficients and Terms (HES 41)

unpublishednot peer reviewe

Coherent multiple tone technique for ground based SPS control

The control system achieves beam forming by adjusting the phases of the individual transmitters onboard the solar power satellite. To specify the correct amount of adjustments, the phases of the power beams from each individual transmitter arriving at the rectanna center are measured, the appropriate corrections determined, and then relayed to the satellite. The functional operation of the ground based phase control concept is summarized. The key issues examined were: measurement waveform design and selection; phase measurement pilot reference design and selection; uplink phase corrections command link format and design; and system synchronization techniques

Standard error and confidence interval for QALY weights

There are some problems with the standard errors of QALY weights proposed by Groot (2000, Journal of Health Economics 19). The standard errors show smaller values than those of Groot when we recalculate using his method. Moreover, we correct the derivation of his approximation and derive corrected values. Because mean and variance do not exist for a distribution of QALY weights, using standard errors for statistical inference may lead to problems even when an approximation is used. In this paper, we verify the statistical properties of Groot's standard errors by simulation. We find that the corrected standard errors hold the same properties as a normal distribution under specific conditions. In general, however, it would be appropriate to use our simulation method to obtain critical values or p-value.

深層学習を用いた感情モデルの構築：感情メカニズムの理解へ向けた構成的アプローチ

電気通信大学201

An Optimization-Based Computational Procedure for Retrofit of Refinery Water Network Systems Incorporating Water Reuse, Regeneration, and Recycle

Water is a key element for the normal functioning of refineries and petrochemical plants in the hydrocarbon processing industry. Scarcities in freshwater supply and increasingly stringent rules on wastewater discharges have emerged as issues of major concern in our time. Water has become an increasingly crucial resource to industrial plants due to increased requirements in operating efficiency and optimization, to avoid high demand of water, and the drive for sustainable development that may result in plants being vulnerable to interruptions in water supply and to water shortages in the future. It is a well-acknowledged fact that cost of water is low but its value is high, and that there is increased regulatory requirements for zero discharge from process plants. In line with these developments, this work has been undertaken with the goal of formulating and solving a mathematical optimization model for the optimal design of an integrated water network system for a typical oil refinery via combined knowledge of engineering heuristics and mathematical programming. The integrated model explicitly considers the incorporation of water minimization approaches and strategies that consist of the potential for water reuse, regeneration, and recycle (W3R), with the objective of minimizing freshwater consumption and wastewater flows while complying to the maximum allowable contaminant concentrations where it is concerned. The stipulated objective directly corresponds to minimizing the associated capital and operating costs of the facility, although cost is not explicitly considered in this work. The methodology includes data collection on flowrates and contaminant concentrations and the subsequent step of data reconciliation on the water balances. Next, a superstructure embedding all feasible alternatives for the implementation of the potential W3R opportunities are developed. A nonlinear programming (NLP) model is then formulated based on the superstructure with the addition of constraints on the maximum allowable contaminant concentrations to meet regulatory discharge requirements as well as for the evaluation of W3R opportunities. Computational studies are performed on the NLP model using GAMS algebraic modeling platform on an industrially-significant problem representative of industrial scale with six contaminants considered. The satisfactory numerical results show that our proposed approach is a promising tool to aid decision-making in the retrofit of refinery water network systems

Predicting Native Language from Gaze

A fundamental question in language learning concerns the role of a speaker's first language in second language acquisition. We present a novel methodology for studying this question: analysis of eye-movement patterns in second language reading of free-form text. Using this methodology, we demonstrate for the first time that the native language of English learners can be predicted from their gaze fixations when reading English. We provide analysis of classifier uncertainty and learned features, which indicates that differences in English reading are likely to be rooted in linguistic divergences across native languages. The presented framework complements production studies and offers new ground for advancing research on multilingualism.Comment: ACL 201

Performance analysis and simulation of the SPS reference phase control system

The major elements required in the operation of an SPS which employs retrodirectivity as a means of pointing the beam to Earth include the spacetenna, the rectenna, and the pilot signal transmitter. The phase control system is faced with several problems: (1) path delay variations due to imperfect SPS circular orbits; (2) ionospheric effects; (3) initial phase beam forming; (4) beam pointing; (5) beam safing; (6) high power phase noise effects; and (7) interference. The use of SOLARISM, a computer program to select pilot signal parameters and evaluate SPS performance is described