从重组人Bcl-2质粒中制备pBluescript Ⅱ KS(-)载体

目的：从重组人Ｂｃｌ－２质粒中制备对基因重组和ＤＮＡ测序等有用的ｐＢｌｕｅｓｃｒｉｐｔⅡＫＳ（－）载体。方法：先将重组人Ｂｃ１－２质粒转化ＤＨ５α菌株，小规模制备此质粒ＤＮＡ，然后从低熔点琼脂糖凝胶中回收其中用ＥｃｏＲⅠ酶切的线性ｐＢｌｕｅｓｃｒｉｐｔⅡＫＳ（－）载体，用Ｔ４ＤＮＡ连接酶催化连接并再次转化ＤＨ５α细菌，并用限制酶切鉴定，最后进行冻存和大量制备及纯化。结果：限制酶切分析证明两次转化的细菌分别是含重组人Ｂｃｌ－２质粒和ｐＢｌｕｅｓｃｒｉｐｔⅡＫＳ（－）载体的工程菌。实验还大量制备了这两种质粒或载体ＤＮＡ，并用聚乙二醇沉淀法进行了纯化。结论：利用分子生物学技术成功地从重组人Ｂｃｌ－２质粒制备出ｐＢｌｕｅｓｃｒｉｐｔⅡＫＳ（－）载体。

基于多级Haar小波变换与KS统计的突变点快速探测方法

结合多级Haar小波变换与KS统计理论,提出一种对时序数据突变点的快速探测方法(HWKS),对标准参考序列以及待检测序列分别构建均值二叉搜索树和差值二叉搜索树。基于改进的KS检验方法给出二叉树搜索的2种策略,进而构建实现时序数据突变点快速检测的HWKS理论框架。运用HWKS对模拟的时序数据进行检测,与HW方法、T方法和KS方法的比较结果表明,该方法在对时序数据的突变点进行检测时的误差较小、用时最短、准确度较高。

一类Kuramoto Sivashinsky方程的显式解

本文研究了一类KS方程的初边值问题.利用一致变换方法,并结合Green公式和Jordan引理,在半直线上得到了这类方程的显式解公式.所得结论将为该类方程适定性和数值计算的研究提供新的思路.

视频三维小波分解系数的统计分析

运动补偿的3D小波变换的模型已经成为视频处理系统的热点.视频序列经过时间分解和空间分解,生成不同的小波子带,小波子带分成时间和空间上相互不重叠的编码块独立编码.使用两种拟合优度方法,即KS和X^2,研究视频序列的亮度分量的编码块小波系数分布情况.实验结果表明.认为高通帧的编码块小波系数近似符合广义高斯分布是合理的.这样的认识对于率失真模型的建立和码率优化分配具有重要的作用,最终确保编码器具有更好的编码效率.

基于随机变异—Kennard—Stone和偏最小二乘法的土壤重金属镉含量反演——以雄安新区西南部为例

土壤重金属污染对人类身体健康造成了严重威胁,作为快捷、高效、无损监测分析土壤重金属含量的方法之一,高光谱遥感反演土壤重金属含量的方法正逐步得到发展。本文以雄安新区西南部作为研究区,针对潜在生态风险最大且活性最强并易被植物吸收的重金属镉,开展高光谱反演研究。将采集来的426件土壤样品除杂、风干、过筛在实验室测得重金属含量,并用SVC便携式地面光谱仪测量样品350~2500 nm范围光谱。采用Savitzky—Golay卷积平滑方法进行光谱降噪平滑处理。由于粒径大小而不是化学成分差异可能会导致基线效应和漂移现象,为了增强光谱差异和光谱曲线形状,将数据进行标准正态变量变换(SNV)、一阶微分(FD)、二阶微分(SD)、多元散射校正(MSC)等数学变换,并分析变换后光谱与Cd含量的相关性。本文提出一种集成随机变异法—Kennard—Stone法—偏最小二乘回归的方法。针对变换后的光谱集和Cd含量集,第一步采用随机变异法—Kennard—Stone法将样本集分为70%训练集和30%验证集,使样本数随性质分布均匀并覆盖整个样本空间;第二步用偏最小二乘回归法结合交叉验证建立回归模型,用确定系数R2、均方根误差RMSE、偏差比值RPD、误差范围比值RER等参数开展模型评价,如果没有达到预期效果,则回到第一步,迭代反复选择,直至达到最优效果。结果表明,适用的最优反演重金属镉含量的技术方法是采用FD变换后,不断迭代集成RM—KS样本选择和PLS偏最小二乘法回归建立的模型,其验证综合效果最好,建模主成分数为11个,确定系数R2达到0.909,RMSE为0.604,RPD为2.696,RER达为15.516。成果可为类似区域快速、无损的土壤重金属Cd含量反演提供技术支撑。

基于激光测高卫星全波形数据的地表覆盖分类应用——以北京市城区为例

针对激光测高数据在地表覆盖分类应用中效果差的问题,提出了一种基于CDF曲线变换和KS距离匹配法的新的改进算法。基于北京地区的实验结果表明,准确率为0.90,Kappa系数为0.767,较之前方法的准确率和Kappa系数都有提升。该方法实现了激光测高卫星全波形数据在地表覆盖分类准确率的提升,能有效地对城市范围内的典型地物进行准确的分类。对于未来发展国产激光测高卫星全波形数据地表覆盖分类应用具有一定参考价值。

Quaternion methods and models of regular celestial mechanics and astrodynamics

This paper is a review,which focuses on our work,while including an analysis of many works of other researchers in the field of quaternionic regularization.The regular quaternion models of celestial mechanics and astrodynamics in the Kustaanheimo-Stiefel(KS)variables and Euler(Rodrigues-Hamilton)parameters are analyzed.These models are derived by the quaternion methods of mechanics and are based on the differential equations of the perturbed spatial two-body problem and the perturbed spatial central motion of a point particle.This paper also covers some applications of these models.Stiefel and Scheifele are known to have doubted that quaternions and quaternion matrices can be used efficiently to regularize the equations of celestial mechanics.However,the author of this paper and other researchers refuted this point of view and showed that the quaternion approach actually leads to efficient solutions for regularizing the equations of celestial mechanics and astrodynamics.This paper presents convenient geometric and kinematic interpretations of the KS transformation and the KS bilinear relation proposed by the present author.More general(compared with the KS equations)quaternion regular equations of the perturbed spatial two-body problem in the KS variables are presented.These equations are derived with the assumption that the KS bilinear relation was not satisfied.The main stages of the quaternion theory of regularizing the vector differential equation of the perturbed central motion of a point particle are presented,together with regular equations in the KS variables and Euler parameters,derived by the aforementioned theory.We also present the derivation of regular quaternion equations of the perturbed spatial two-body problem in the Levi-Civita variables and the Euler parameters,developed by the ideal rectangular Hansen coordinates and the orientation quaternion of the ideal coordinate frame.This paper also gives new results using quaternionic methods in the perturbed spatial restricted three-body problem.

A New Quasi-Exactly Solvable Problem and Its Connection with an Anharmonic Oscillator

The two-dimensional hydrogen with a linear potential in a magnetic field is solved by two different methods.Furthermore the connection between the model and an anharmonic oscillator is investigated by methods of KStransformation.

黎曼ζ-函数之一:KS-变换——献给杨乐先生八十华诞

我们定义了KS-变换和自然数乘法结构相关的Fourier变换,建立了实数乘法半群[1,∞)={x:x∈R,x≥1}和复半平面Ω={s=σ+it:σ,t∈R,σ≥1/2}之间的由KS-变换诱导的对偶关系,证明了KS-变换是希尔伯特空间L^2([1,∞))和哈代空间H^2(Ω)之间的等距算子,而且该算子保持了相关的函数空间之间由实数的乘法卷积和复数点点相乘诱导出的代数结构的同构.作为应用,我们给出了黎曼假设成立的有关算子指标的等价命题,从而算子理论为研究黎曼ζ-函数和自然数的乘法结构提供了新思路.

Regularized luni-solar gravity dynamics on resident space objects

Resident space object population in highly elliptical high perigee altitude(>600 km)orbits is significantly affected by luni-solar gravity.Using regularization,an analytical orbit theory with luni-solar gravity effects as third-body perturbations in terms of Kustaanheimo-Stiefel regular elements is developed.Numerical tests with different cases resulted in good accuracy for both short-and long-term orbit propagations.It is observed that the luni-solar perturbations affect the accuracy of the analytical solution seasonally.The analytical theory is tested with the observed orbital parameters of the few objects in highly elliptical orbits.The analytical evolution of osculating perigee altitude is found to be concurrent with observed data.Solar perturbation,when compared with lunar perturbation,is established to be dominant over such orbits.

Solving the Generalized Higgs Model from the Generalized CRS Model

In this paper, we reveal a direct relation between the generalized one-dimensional Carinena-Ranada- Santander （ORS） model and the radial part of two-dimensional generalized Higgs model. By this relation, we construct a series of quasi-exactly solutions for the two-dimensional Higgs model from a solved generalized CRS model.

黎曼ζ-函数之二:算子及其指标 献给杨乐先生80华诞

作为Ω={s:Re(s)≥1/2}上的有界函数,s-1/s^2ζ(s)在哈代空间H^2(Ω)上乘积作用诱导的有界线性算子的指标为零的充分必要条件是黎曼假设成立;通过KS-(逆)变换,这一结果对应到希尔伯特空间L^2([1,∞])上的某乘法卷积算子的一个等价命题,该命题的一种离散表述是:算子Aζ=(1/mn{m/n+1})m,n≥1作用在l^2(N)上的指标为零当且仅当黎曼假设成立。对Dirichlet L-函数也有类似结果。应用KS-变换等手段,文章中将给出这些结果的证明细节。