Proof Existence and uniqueness of r(t, u)and A(t)follow from Theorem 3. 1. Hence, in order to prove differentiability and the formula for the derivative, it is sufficient to show that there exist a function C: R++R+ such that C(r)/r-0 as r-0 and E>0 such

化学反应步骤: 基元反应一由反应物一步生成产物的反 应,没有可由宏观实验方法探测到的中间 产物。 复合反应——由两个以上的基元反应组合 而成的反应。组合的方式或先后次序称为 反应机理

Definition A real-valued function V: X H R defined on state space X of a system with behavior set B and state r:B×[0,∞)→ X is called a Lyapunov function if tHv(t)=v(a(t))=v(a(z(), t)) is a non-increasing function of time for every z E B according to this definition, Lyapunov

with x(0)=I exist and are unique on the time interval t E [ 0, 1] for allTER\.Then discrete time system(4. 1)with f(5)=r(, i)describes the evolution of continuous time system(4.)at discrete time samples. In particular, if a is continuous then so is f Let us call a point in the closure of X locally attractive for system(4. 1)if there exists

3.1.2 A general uniqueness theorem The key issue for uniqueness of solutions turns out to be the maximal slope of a=a(a) to guarantee uniqueness on time interval T=[to, t,, it is sufficient to require existence of a constant M such that

he variable t is usually referred to as the\time Note the use of an integral form in the formal definition(2.2): it assumes that the function tHa(a(t), t)is integrable on T, but does not require =a(t)to be differentiable at any particular point, which turns out to be convenient for working with discontinuous

§7-1概述 §7-2机械的运动方程式 §7-3机械运动方程式的求解 §7-4稳定运转状态下机械的周期性速度波动及其调节 §7-5机械的非周期性速度波动及其调节 §7-6考虑构件弹性时的机械动力学简介

药效学是研究药物对机体的作用及作用的机制,作用强度与剂量之间的关系以及临床适应症等。 第一节药物的基本作用 一、方式/类型

配体取代(交换反应 两类 电子转移反应氧化还原反应)Tabe, Marcus 反应机理的研究 研究对象:Co3,Cr+,Ni2+Pt等中心离子,简单配体 研究的时标( (time scale)范围:

目录 第一章绪论… 第一节社会学产生的历史背景…… 第二节从社会哲学到社会学的转变会学产生的理论前提………… 第二章孔德的实证主义社会学… 第一节生平与著述… 第二节科学分类和社会学… 第三节社会静力学和社会动力学……… 第四节社会学的研究方法…… 第五节关于社会改建的实证主义思想 第三章斯宾塞的社会有机论………