《数学分析》课程教学资源（试题集锦）华中科技大学数学分析

一、一个语言的定义可以从两个方面进行: 二、从语言产生的角度;(形式语言) 三、从接收(识别)语言的角度。(自动机)

Optimization See Sydsaeter(2005, Chapters 2, 3)and Chiang(1984, Chapters 9, 11, 12 and 21) Positive definite matrix Definite matrices are directly related to optimization. A symmetric matrix A is positive semi- definite(A≥0) if rAr≥0,Vx; positive definite(A>0)

Equilibrium price. Equilibrium allocation: x=xi(p,p·w2), Note: A p* for any >0 is also an equilibrium price. Offer curve: (p)(p, p. w;). The equilibrium is the intersection point of the offer curves. Excess demand function:

(1)i(p, u) is zero homogeneous in p (2) substitution matrix: Dpi(p, u)<0 (3)symmetric cross-price effects: 23i(p 2=2z(p, u) (4) decreasing:=n≤0

《数学分析》课程教学资源（试题集锦）华中科技大学99年高等代数

Corporate finance 1. Theoretical Approaches 1.1. Corporate Finance in Arrow-Debreu world Complete market, perfect market, perfect competition, symmetric information, private consumption Risk: risk sharing, risk pooling, technology shocks, individual vs aggregate shocks Lucas(1978): existence of equilibrium asset price Merton: continuous-time pricing model

8.1. Independent Firms The downstream firm's problem is max(a-bxc-wT The upstream firm's problem is max(a-2b)3-cr The output is 8.2. Integrated Firm Suppose now that the two firms merge into one firm. This firms problem is max(a-by)y

Concept of plant nutrition Plant nutrition is a term that takes into account the interrelationships of mineral elements in the growth medium as well as their role in plant growth

Foliar fertilizer A foliar fertilizer is one that is applied to the surface of the plant. a Foliar uptake is important to aquatic plants and when nutrients are sprayed on foliage in horticulture and agriculture