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[填空题] 1.数项级数 1 的和为一。 (2n-1)(2n+1) 2 2.数项级数(-1) 的和为cosl。 n=(2n)! 注:求数项级数的和常用的有两种方法,一种是用和的定义,求部分和极限;另一种 是将数项级数看成是一个函数项级数在某点取值时的情况,求函数项级数的和函数在此点 的值。 3.设an>0,p>1,且lim(n(en-1)an)=1,若级数∑an收敛,则p的取值范围是 n→∞ n= (2,+∞)。 1 分析:因为在n→∞时,(en-1)与是等价无穷小量,所以由 n lim(n(en-1)an)=1可知,当n→∞时,an与是等价无穷小量由因为级数 n→ an收敛,故 -1收敛,因此p>2 n 4.幂级数an(x-1)在处x=2条件收敛,则其收敛域为[0,2] 分析:根据收敛半径的定义,x=2是收敛区间的端点,所以收敛半径为1。由因为在
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lecular association similar to an enzyme-substrate interaction, with an important distinction: it does not lead to an irreversible chemical alteration in either the antibody or the antigen. The association between an anti Fluorescent Antibody Staining Reveals Intracellular body and an antigen involves various noncovalent interac- tions between the antigenic determinant, or epitope, of the ntigen and the variable-region(vH/Vi) domain of the an- a Strength of Antigen-Antibody Interactions tibody molecule, particularly the hypervariable regions
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1993年量子力学考研试题 设n)是粒子数算符N=的本征函数,相应之本征值为 n20),算符a和满足对易关系aa-a=1。证明:an)(其中 n≥1)和an)也是N的本征函数其相应的本征值分别为-)和+) 解:用粒子数算符N作用到an)上,即 Nan=aaan=laa a n-a GN n)-an)=(n-1 an 上式表明an)是N的本征态,相应的本征值为(n-1)
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1.复数列的极限设{an}(n=12)为一复数列 ,其中an=an+ibn,又设a=a+ib为一确定的复数 如果任意给定ε0,相应地能找到一个正数 N(a),使|an-aN时成立,则a称为复数 列{an}当n→∞时的极限,记作 此时也称复数列{an}收敛于a
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1.复数列的极限设{an}(n=12)为一复数列 ,其中an=an+ibn,又设a=a+ib为一确定的复数 如果任意给定ε0,相应地能找到一个正数 N(a),使|an-aN时成立,则a称为复数 列{an}当n→∞时的极限,记作 linn =a
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第四章向量组的线性相关性 4.1向量及其运算 1.向量:n个数a1,a2,an构成的有序数组,记作a=(a1,a2,an), 称为n维行向量 a称为向量a的第i个分量 a;∈R称a为实向量(下面主要讨论实向量) a∈C称a为复向量 零向量:θ=(0,0,…,0) 负向量:(-a)=(-a1,-a2,…,-an) 2.线性运算:a=(a1,a2,,an),B=(b1,b2,bn) 相等:若a1=b(i=1,2,,n),称a=B. 加法:a+B=(a1+b1,a2+b2,,an+bn) 数乘:ka=(ka1,ka2,,kan)
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1 The eigenvalue distribution function For an N × N matrix AN , the eigenvalue distribution function 1 (e.d.f.) F AN (x) is defined as F AN (x) = Number of eigenvalues of AN ≤ x . (1) N As defined, the e.d.f. is right continuous and possibly atomic i.e. with step discontinuities at discrete points. In practical terms, the derivative of (1), referred to as the (eigenvalue) level density, is simply the
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Chapter 9 Objectives After you have read and studied this chapter you should be able to Manipulate a collection of data values using an array. Declare and use an array of primitive data types in writing a program. Declare and use an array of objects in writing a program. Describe how a two-dimensional array is implemented as an array of arrays. Manipulate a collection of objects using a vector. Use MultiInputBox object from the javabook package to input an array of strings
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1 Acronyms and Acrostics: (for information involving key words) An acronym is an invented combination of letters. Each letter is a cue to an idea you need to remember. Example: BRASS is an acronym for how to shoot a rifle--Breath, Relax, Aim, Sight, Squeeze
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This is an admirably concise and clear guide to fundamental concepts in physiology relevant to clinical practice. It covers all the body systems in an accessible style of presentation. Bulleted checklists and boxed information provide an easy overview and summary of the essentials. By concentrating on the core knowledge of physiology, it will serve as a useful revision aid for all doctors striving to achieve postgraduate qualification, and for anyone needing to refresh their knowledge base in the key elements of clinical physiology. The author’s own experience as an examiner at all levels has been distilled here for the benefit of postgraduate trainees and medical and nursing students. Dr Ashis Banerjee is Consultant in Emergency Medicine and serves as Examiner for those undertaking their MB, BS, MRCS and MFAEM examinations
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