Formulations Model problem Strong Formulation Find u such that Vu=f in n2 a =0 on I for a polygonal domain

Dirichlet Model Problems Strong Form Domain: Q =(0, 1) Find u such that (0)=(1)=0 for given f SMA-HPO⊙1999M Poisson in Rl. Formulation 1

1 Model problem 1.1 Poisson Equation in 1D Boundary Value Problem(BVP) (x)=∫(x) (0,1),u(0)=(1)=0,f Describes many simple physical phenomena(e.g) Deformation of an elastic bar Deformation of a string under tension Temperature distribution in a bar The Poisson equation in one dimension is in fact an ordinary differ tion. When dealing with ordinary differential equations we Poisson equation will be used here to illastrate numerical techniques for elliptic PDE's in multi-dimensions. Other techniques specialized for ordinary differen tial equations could be used if we were only interested in the one dimension

The engineer designing an ion exchange column operation usually will prefer to work with the simplest kinetic model and linear driving force approximations. The weakness ofthis approach is that any driving force law only regards the momentary exchange rate as a hnction of the solute concentration in the bulk solution and the average concentration in the particle, neglecting the effect of concentration profiles in the particle

重庆工商大学：《计量经济学》课程教学资源（讲义）第2章 一元线性回归 The Simple Linear Regression Model

重庆工商大学：《计量经济学》课程教学资源（讲义）第4章 非线性回归模型的线性化 The Nonlinear Single Regression Model

重庆工商大学：《计量经济学》课程教学资源（讲义）第10章 联立方程模型 Simultaneous Equations Model Cont.（2/2，席尧生）

Interaction diagrams are used to model the dynamic aspects of a software system They help you to visualize how the system runs. An interaction diagram is often built from a use case and a class diagram. —The objective is to show how a set of objects accomplish the required interactions with an actor

The concept of cell differentiation Determination or commitment Totipotency, Pluripotency and Monopotency Developmental landscape model

Three Ways to Describe Crystal Structures Three Structural sketches of P4O10 molecules: (a)Stick-ball model：showing that the P-O chemical bond is the tetrahedral coordination and sp3 covalent bonds