一.(本题20分)设K为数域.给定K4的两个子空间 M={(x1,2,3,4)|21-x2+4x3-3x4=0,x1+x3-x4=0 N={1,x2,x3,4)3x1+x2+x3=0,7x1+7x3-3x4=0} 求子空间MN和M+N的维数和一组基 二(本题10分)在K4内给定 a1=(1,-1,1,1),a2=(2,-2,0,1). 令M=L(a1,a2).试求商空间K4/M的维数和一组基 三.(本题20分)给定数域K上的3阶方阵 1-11 A=24-2 3-35 1.求K上的3阶可逆方阵T,使T-1AT为对角矩阵 2.对于任意正整数m,求Am

Ikenes are hydrocarbons that contain a carbon-carbon double bond. A car- bon-carbon double bond is both an important structural unit and an important functional group in organic chemistry. The shape of an organic molecule is influ- enced by the presence of this bond, and the double bond is the site of most of the chem- ical reactions that alkenes undergo. Some representative alkenes include isobutylene(an industrial chemical), a-pinene (a fragrant liquid obtained from pine trees), and farnesene (a naturally occurring alkene with three double bonds

ot all the properties of alkenes are revealed by focusing exclusively on the func- tional group behavior of the double bond. A double bond can affect the proper- ties of a second functional unit to which it is directly attached. It can be a sub- stituent, for example, on a positively charged carbon in an allylic carbocation, or on a carbon that bears an unpaired electron in an allylic free radical, or it can

Absolute configuration(Section 7.5): The three-dimensional Activating substituent (Sections 12.10 and 12.12): A group rrangement of atoms or groups at a stereogenic center. that when present in place of a hydrogen causes a particular Acetal(Section 17.8): Product of the reaction of an aldehyde or reaction to occur faster. Term is most often applied to a ketone with two moles of an alcohol according to the substituents that increase the rate of electrophilic aromatic

Eukaryotic Chromosomes are composed of DNA, Histone and Nonhistone Proteins Histones: H1 H2A. H2 B, H3, H4. The later 4 form nucleosomes(100 A)and thus called core histones. H1 plays a role in forming 300 A superhelix Histones are rich in basic amino acids Nonhistone proteins play a variety of functions

一、单项选择 例体液调节的特点是(C) A.迅速B准确C.持久D短暂 1.迷走神经传出纤维的冲动可看作是(C) A.控制系统B.受控系统C.控制信息D.反馈信息 2.下列生理过程中,属于负反馈调节的是(B) A.排尿反射B.减压反射C.排便反射D.血液凝固 3.关于易化扩散的叙述错误的是(A) A通道蛋白质对被转运的物质没有特异性 B.以通道为中介的易化扩散如K+由高浓度一侧向低浓度一侧的扩散 C.以载体为中介的易化扩散,如葡萄糖入膜过程 D.以载体为中介的易化扩散其特点是具有饱和现象

设矩阵A∈Rn,如果存在数入∈C及非零向量x∈C满足方程 Ax∈x,则称λ为矩阵A的一个特征值,称为矩阵A的相应于特 征值λ的特征向量。为简单起见,下称,x为矩阵A的一特征对。 特征值的计算,直接从特征方程()=det-A)=0出发会遇到很 大困难,当n稍大一些,行列式展开本身就很不容易,随后是高次代数 方程求解。因此,矩阵特征值的求解,主要是数值解法

本章要点： • 1.模拟量输出通道的结构组成与模板通用性； • 2.8位D/A转换器DAC0832的原理组成及其接口电路 • 3. 12位D/A转换器DAC1210的原理组成及其接口电路 • 4. D/A转换器的输出方式及其输出电路 主要内容：  引言  2.1 D/A转换器  2.2 接口电路  2.3 输出方式  2.4 D/A转换模板  本章小结  思考题

1. Input-output economics, the foundation of CGE & GSC (a) the input-output table (b) national accounts (c) the one-country input-output model (d) the Leontief paradox (e) effective rates of protection (e) the multi-regional or multi-national I-O model - starting point for CSC analysis 2. CGE modelling (a) Johansen’s model of Norway (b) Johansen’s solution matrix versus Leontief’s inverse (c) trade in a CGE model, Armington to Melitz 3. Applying existing CGE models to supply chain issues (a) Walmsley & Minor on reversing NAFTA (b) Dixon, Rimmer and Waschik on Buy-America(n) 4. Towards a CGE model with supply chain features: designs, components, assembly and sales 5. Concluding remarks

In this paper, I provide a tutorial exposition on maximum likelihood estimation (MLE). The intended audience of this tutorial are researchers who practice mathematical modeling of cognition but are unfamiliar with the estimation method. Unlike least-squares estimation which is primarily a descriptive tool, MLE is a preferred method of parameter estimation in statistics and is an indispensable tool for many statistical modeling techniques, in particular in non-linear modeling with non-normal data. The purpose of this paper is to provide a good conceptual explanation of the method with illustrative examples so the reader can have a grasp of some of the basic principles