1. Any arbitrary input sequence x[n] can be expressed as a linear combination of delaved and advanced unit sample sequences [n]=x[k][n-k] k=-0 2. .Linear Time-Invariant()System A system satisfying both the linearity and the time-invariance property. .If yiln] is the output due to an input xiln] and y2ln] is the output due to an input x2n] then for an input xn]=axiln]+bx2n] the output is given by ]=]+by2[n]

Objective-Determination- of realizable transfer function G() approximating a given frequency response specification is an important step in the development of a digital filter If an IIR filter is desired, G() should be a stable real rational function Digital filter design is the process of deriving the transfer function G

3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)

The stock Price Assumption Consider a stock whose price is s In a short period of time of length At the change in then stock price S is assumed to be normal with mean Sdt and standard deviation os√△, that is, S follows geometric Brownian motion ds=u Sdt+oSdz Then dInS=( )dt+oda

General linear models Suppose that we have a model: 1 It is inherently linear for the parameters if it can be transformed into Examples: 1. Exponential model: Y

Monte Carlo Integration Hit and miss method:Algorithm: （ 1) generate N uniform random numbers, (i=1, 2,..., N), on(a,b) and N uniform random numbers, (i=1, 2,..., N), on (0,c); （2) calculate g() and count the number of cases, Nhit for whichg() （3)I can be estimated by

选择和管理营销渠道 1、营销渠道是什么(What is the nature of marketing Channels)? 2、公司在设计、管理、评价和修正其渠道时将面临什么 (What decisions do companies face in designing, managing, evaluating, and modifying their channels)? 3、渠道的动态发展趋势是什么(What trends are taking place in channel dynamics)? 4、如何管理渠道的冲突(How can channel conflict be managed)?

HEAT EXCHANGER NETWORK SYNTHESIS 1: TARGETING OBJECTIVES: 1 Determine the minimum energy inputs required for a process 2Determine the minimum number of heat exchangers required to transfer this energy 3Develop a methodology for determining where these heat exchangers should be placed in the process

DESIGN METHODOLOGY: CHOICE OF PROCESS TYPE goaL-- Choose the process type appropriate to the plant to be designed

Nash equilibrium has undoubtedly proved to be the most influential idea in game theory. enabled fundamental breakthroughs in economics and the social sciences. Its development was a major intellectual achievement; what is perhaps more important, it Recent foundational research has emphasized the subtleties in the interpretation of Nash equilibrium. This lecture deals with the technical details of equilibrium analysis, but also with these interpretational issues. However, a more precise appraisal of the situation must