Research on application of polynomial fitting technique in rotary kiln infrared temperature measurement system

Aiming at the linear temperature compensation algorithm’s disadvantage of temperature measurement error in rotary kiln infrared scanning temperature measurement process, this paper proposes a precise nonlinear cubic polynomial fitting temperature compensation algorithm. The proposed algorithm compensates the temperature values of scanning points on rotary kiln surface by following steps: Calculating temperature difference between the real temperature value of rotary kiln and temperature value measured by infrared scanning temperature measurement system; Fitting the temperature difference data with cubic polynomial; Using the obtained function to compensate temperature. Experimental result shows that compared with the usual linear temperature compensation algorithm, the accuracy of proposed algorithm has raised about 2.25 times when cubic polynomial is used.     

DOUBLESLICING: a non-iterative single profile multi-exponential curve resolution procedure. Application to time-domain NMR transverse relaxation data

A new non-iterative curve resolution technique for resolving single decay profiles is proposed. The new technique, called DoubleSlicing, is based on the Decra (Direct Exponential Curve Resolution Algorithm) principle. While the original Decra was designed to resolve several decay curves simultaneously and thus fitting common pure exponentials, DoubleSlicing can resolve single decay profiles by a simple double data transformation followed by an analytical and unique three-way decomposition. The new approach is successfully demonstrated on experimental NMR CPMG relaxation data, measured on combinations of unmixed paramagnetic CuSO(4) solutions. Decay signals of the water component were acquired following an innovative experimental design that ensured no interaction between the components present in each sample under observation. DoubleSlicing proved to be accurate in estimating relaxation times differing in one order of magnitude (range: 19.6-159.4ms). Its performance was comparable to discrete exponential fitting with the advantage of being much faster - in terms of computation time, DoubleSlicing outperformed exponential fitting by a factor of four.     

多维矢量矩阵变换域的运动矢量估计

为了实现对视频中运动目标的运动矢量估计,建立了多维矢量矩阵变换域运动估计系统,在变换域对运动视频中运动目标形成的多维能量集中平面进行研究。首先,介绍了多维矢量矩阵理论、变换理论以及运动目标在变换域形成能量集中平面的理论推导;然后,采用平面拟合的方法,求取运动矢量的大小;最后,分析对比了几种方法的效果和迭代速度。实验结果表明:多维矢量矩阵变换域的运动平面拟合方法估计的运动矢量精度达到10^-2 pixel,提供了一种变换域运动矢量估计的高精度方法。     

两种表征核酸适配体-靶蛋白亲和作用的毛细管电泳方法比较

适配体-靶分子间的亲和作用表征是理解和应用核酸适配体发挥特异亲和作用的基本前提,CE技术则为上述表征提供了多模式的简捷途径,但多种模式体系间的结果往往存在差异,导致CE亲和评价可靠性和进一步应用受到限制,亟须建立多CE方法测定适配体-靶分子间亲和作用的系统比较研究。该研究以凝血酶及其特异性作用于肝素结合位点的适配体29mer为模型体系,基于CE-激光诱导荧光检测,引入CE-迎头分析（FA）评价方法,并比较其与预平衡-毛细管区带电泳（PE-CZE）的异同。首先进行了CE-FA方法分离条件的优化,37 ℃、0.5 h孵育完全后进样,进样时间为30 s,在较低工作温度（15 ℃）、较短毛细管长度（30 cm）及生物相容性好的缓冲体系2×TG（Tris-甘氨酸缓冲液,pH 8.5）条件下,经15 kV分离时,得到了稳定的荧光标记29mer（F29mer）-凝血酶复合物及游离F29mer平台峰。加入1 g/L牛血清白蛋白（BSA）,有效提高了CE-FA平台峰高及迁移时间的重复性。详细讨论了两种方法下6种拟合方式的结果及特点。针对CE-FA和PE-CZE法,以结合适配体/游离适配体的浓度比对游离适配体浓度非线性拟合、平台峰高变化对浓度间的非线性拟合、平衡混合物的非平衡CE（NECEEM）计算等进行拟合。结果表明,6种拟合结果中5种不存在显著性差异,得到的解离常数（K_d）值均介于24~64 nmol/L范围。CE-FA法中的3种拟合结果符合度较好,说明CE-FA法易于在非平衡的CE分离体系下保持适配体-复合物间的结合-解离平衡,所测得K_d准确度较高。PE-CZE法中,借由降低的游离F29mer峰高对凝血酶浓度间的非线性拟合所得K_d值偏差过大;选择凝血酶浓度为F29mer浓度的0.5~2倍,且观察到明显的两峰间"指数桥"为前提,可经NECEEM法进行数据计算求解得到较为准确的K_d值。CE-FA法可与PE-CZE法互为印证,提高了亲和作用评价的可靠性。首选推荐使用多浓度平台峰高变化进行非线性拟合的CE-FA法,可相对有效克服高压电场对复合物稳定性的影响,具有适用范围广、方法稳定、结果拟合简便准确等特点。     

Automatic kinetic model generation and selection based on concentration versus time curves

The goal of the paper is to automatize the construction and parameterization of kinetic reaction mechanisms that can describe a set of experimentally measured concentration versus time curves. Using the framework and theorems of formal reaction kinetics, first, we build a set of possible mechanisms with a given number of measured and unmeasured (real or fictitious) species and reaction steps that fulfill some chemically reasonable requirements. Then we fit all the corresponding mass-action kinetic models and offer the best one to the chemist to help explain the underlying chemical phenomenon or to use it for predictions. We demonstrate the use of the method via two simple examples: on an artificial, simulated set of data and on a small real-life data set. The method can also be used to do a kind of lumping to generate a model that can reproduce the simulation results of a detailed mechanism with less species and thereby can largely accelerate spatially inhomogeneous simulations.     

Water mist attenuates guided laser based on Monte Carlo method

The round-trip attenuating process of lasers used for guiding in artificial water mists is studied with the Monte-Carlo method. A new way for confirming the scattering directions of photons is established based on calculating Mie cumulative probability distribution function of the polydisperse mist and user defined function fitting by Matlab. Two Monte-Carlo methods for photons tracking are mentioned and their efficiencies are discussed and balanced in this paper. A conclusion is come to that the Wight method is evidently more efficiency than the Event method, and the former is adopted in this paper. The radiuses of frequently-used water mists are usually in the range of 10¹–10² μm which are found to be suited to attenuate the 10.6 μm laser and can be used for laser stealth. But the effect is worse for 1.06 μm laser.     

基于自相关函数的激光散斑统计半径的测量

为了测量激光散斑的统计半径,运用统计光学理论推导了二维近场散斑光强的归一化自相关函数,并提出了通过求解散斑图像自相关拟合函数的系数来计算激光散斑统计半径的一种测量方法,利用该测量方法编制的测量软件可以方便地计算出激光散斑的统计半径.通过对尺寸已知的模拟散斑的测量,测量结果与实际尺寸相吻合,证实了该测量方法的可行性.     

Ab initio multi-reference configuration interaction of the low-lying states of the AsP molecule

Nine low-lying electronic states of the AsP molecule, including Σ , Ⅱ, and △ symmetries with singlet, triplet, and quintet spin multiplicities, are studied using multi-reference configuration interaction method.The potential energy curves and the spectroscopic constants of these nine states are determined, and compared with the experimental observed data as well as other theoretical works available at present.Three quintet states are reported for the first time.Furthermore, the analytical potential energy functions of these states are fitted using Murrell-Sorbie function and least square fitting method.     

On Generating Discrete Orthogonal Bivariate Polynomials

In this paper we present an algorithm for recursively generating orthogonal bivariate polynomials on a discrete set S ². For this purpose we employ commuting pairs of real symmetric matrices H, K ^n×n to obtain, in a certain sense, a two dimensional Hermitian Lanczos method. The resulting algorithm relies on a recurrence having a slowly growing length. Practical implementation issues an applications are considered. The method can be generalized to compute orthogonal polynomials depending on an arbitrary number of variables.