The Construction Of Some Optimal 2D Cubature Formulae

In this paper, we showcase some formulae that have been derived using the least squares optimisation method, which produces cubatures that are superior for use with singular integrals. We consider some formulae of standard and well-known structure for two differing weight functions, (i) w(x, y)=1 and (ii) w(x, y)= \sqrt{x^2 + y^2} .     

AMPH-IMA97: a hypercard program to determine the name of an amphibole from electron microprobe and wet chemical analyses

In 1997, the International Mineralogical Association (IMA) revised the amphibole naming scheme making it necessary to amend the previous EMP-AMPH Macintosh program to the new rules. The AMPH-IMA97 program allows single input or automatic input of as many amphibole analyses as are available following a set input format. There are three options for calculation scheme of amphibole analysis: (1) complete chemical analyses can be calculated to 24(O, OH, F, Cl); (2) analyses with determined FeO and Fe₂O₃ but without H₂O can be calculated to 23(O) and (3) electron microprobe analyses with only total Fe determined and without H₂O can be calculated to 23(O) with IMA97-recommended normalization for Fe³⁺ and Fe²⁺ values. To test the program, over 500 analyses were calculated using the three options. The first comprehensive test of the third option successfully estimated Fe²⁺ (R²=0.88), but became less successful for Fe³⁺ (R²=0.42) estimation. Problems in the normalization of Mn³⁺- and Mn²⁺-bearing amphiboles and in the IMA97 sodic amphibole classification procedure emerged for Mn-rich amphiboles. This necessitated the proposal and implementation with the program of a simplified sodic amphibole classification scheme. A new coloured amphibole classification chart accompanies the program.     

各种新型导线的特点及经济选型方法

本文介绍了目前广泛应用的各种新型导线的类型及特点。通过工程实例,提出了基于输电线路整个经济寿命周期的选型公式,适合在工程设计中应用。     

A methodology for simultaneous process and product design in the formulated consumer products industry: The case study of the detergent business

In this work we present a mathematical optimization based methodology for simultaneous formulae and process design in the consumer product business applied to the case of the laundry detergent. The design of a new detergent is formulated as a modified pooling problem including process, performance, processability and environmental constraints. This new features add a number of nonlinearities related to the modeling of the different aspects of the process and customer acceptance. The problem becomes a multiobjective optimization problem that is solved using the ?-constraint method with global optimization techniques to minimize of the environmental impact while minimizing the production cost for a couple of case studies. As future work, further process, product and legal constraints can be added to make the problem more realistic.     

Assessing the Influence of the Drying Schedule on Moisture Variability in the Batch Drying of Timber

Timber drying schedules influence the dispersion in moisture content between boards at the end of drying. Both a single set-point schedule and a double set-point schedule are selected to illustrate the concept. A simple deterministic drying model that can predict moisture content as a function of time for a single and double set-point schedule is presented. Given random variability in both the initial moisture content and drying rate of the product, theoretical expressions for the range in moisture content as a function of time are developed. The predictions of these equations are compared with experimental measurements from a laboratory kiln. A general methodology whereby the basis of commercial schedules can be analyzed as to their performance with respect to minimizing product moisture dispersion is constructed. The approach should prove useful in assisting drying process designers, concerned about moisture variability, in distinguishing between otherwise equal schedules.     

Assessing the Influence of the Drying Schedule on Moisture Variability in the Batch Drying of Timber

Abstract

Timber drying schedules influence the dispersion in moisture content between boards at the end of drying. Both a single set-point schedule and a double set-point schedule are selected to illustrate the concept. A simple deterministic drying model that can predict moisture content as a function of time for a single and double set-point schedule is presented. Given random variability in both the initial moisture content and drying rate of the product, theoretical expressions for the range in moisture content as a function of time are developed. The predictions of these equations are compared with experimental measurements from a laboratory kiln. A general methodology whereby the basis of commercial schedules can be analyzed as to their performance with respect to minimizing product moisture dispersion is constructed. The approach should prove useful in assisting drying process designers, concerned about moisture variability, in distinguishing between otherwise equal schedules.     

Plasticizers in total diet samples, baby food and infant formulae

The plasticizers di-n-butylphthalate (DBP), butylbenzylphthalate (BBP), di-2-(ethylhexyl)phthalate (DEHP) and di-2-(ethylhexyl)adipate (DEHA) were analysed in 29 total diet samples, in 11 samples of baby food and in 11 samples of infant formulae. In all of the total diet samples the presence of one or more of the plasticizers was demonstrated. Maximum and minimum mean concentrations in the total diet samples were: 0.09-0.19mg DBP/kg, 0.017-0.019mg BBP/kg, 0.11-0.18mg DEHP/kg and 0.13-0.14mg DEHA/kg. One or more of the phthalates was also found in about 50% of the samples of baby food as well as in infant formulae. The calculated mean maximum intakes of the individual compounds from the total diet samples were below 10% of the restrictions proposed by the EU Scientific Committee for Food (SCF), and the spread in individual intakes was considerable. DEHP was the plasticizer determined most frequently and contributed the highest fraction of its tolerable daily intake (TDI). Hence, the maximum calculated intake of DEHP from single samples of the foodstuffs analysed could be up to one-third of the TDI. The calculated mean intake of DEHA was about 1% of the TDI with a maximum value of 13% of the TDI. Violations of the restrictions proposed by the EU Scientific Committee for Food (SCF) in the form of TDI values or specific migration limits were not found in this investigation.     

酿酒葡萄生态区划问题初探

本文在总结前人葡萄气候区划成果的基础上,提出了酿酒葡萄生态区划的新概念,更加全面地体现了葡萄品质与生态的关系     

基于熵不确定性概念的机器人位姿精度理论(二)——主要评价指标公式推导

基于机器人位姿信息传输模型及所研究的位姿精度评价指标体系,本论文以平面SCARA机器人为例,推导了主要位姿精度评价指标的计算公式。并提出该方法在深入研究中尚须解决的问题。     

Formulae for Arithmetic on Genus 2 Hyperelliptic Curves

The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the group operations for genus 2 curves. The formulae are completely general but to achieve the lowest number of operations we treat odd and even characteristic separately. We present 3 different coordinate systems which are suitable for different environments, e. g. on a smart card we should avoid inversions while in software a limited number is acceptable. The presented formulae render genus two hyperelliptic curves very useful in practice.The first system are affine coordinates where each group operation needs one inversion. Then we consider projective coordinates avoiding inversions on the cost of more multiplications and a further coordinate. Finally, we introduce a new system of coordinates and state algorithms showing that doublings are comparably cheap and no inversions are needed. A comparison between the systems concludes the paper.Acknowledgement First of all I would like to thank Gerhard Frey and Henri Cohen for encouragement and interest. Furthermore, thanks go to Roberto Avanzi for proof reading and to Bertrand Byramjee, Sylvain Duquesne, Guilhem Castagnos, and Marc Stevens for spotting some typos in the formulae of the previous papers [20, 21, 22]. I acknowledge the help of MAGMA to check the consistency of the formulae.