Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances

4.1 LTI Discrete-Time Systems in the Transform Domain · Such transformdomain- representations provide additional insight into the behavior of such systems It is easier to design and implement these systems in the transform-domain for certain applications We consider now the use of the DtFt and the z-transform in developing the transform- domain representations of an LTI system

AARON COHEN Professor Emeritus of Mechanical Engineering Texas A&M University Professor Aaron Cohen received a B.S. degree in Mechanical Engineering from Texas A&M University in 1952 and an M.S. degree in Applied Mathematics from Stevens

Eco514Game Theory Lecture 3: Nash Equilibrium Marciano Siniscalchi September 23, 1999 Introduction 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

PARTO- PRELUDE: REVIEW OF UNIFIED ENGINEERING THERMODYNAMICS [AW pp 2-22, 32-41(see IAW for detailed SB&vw references): VN Chapter 1] 0.1 What it's all about The focus of thermodynamics in 16.050 is on the production of work, often in the form of kinetic energy(for example in the exhaust of a jet engine)or shaft power

United Nations Criminal Justice Information Network The United Nations Criminal Justice Information Network (UNCJIN)was created in 1989 pursuant to Economic and Social Council resolution 1986/11 of 21 May 1986, in which the Secretary-General was invited to establish, in cooperation with the United Nations institutes and other entities concerned, a global crime and criminal justice information network, including a mechanism for the centralizatio of inputs from non-

Chapter One Introduction Heat: Heat is a kind of energy, Which occurs in the transfer process. (the transferred energy contains the orderly work and disorderly heat) Energy: Concept of energy is used to specify the state of a system in thermodynamics Heat Transfer: kind of application science, is concerned with analysis of the rate of heat transfer taking place in system, or with the research on the heat-transfer reqularity

Where Are W e Doing in This Chapter? After modeling consumers' choice set and his preference (represented by utility functions), we now put them together and model how he/she makes optimal choice. In mathematical terms, this is constrained maximization problem; In economics, this is rational choice problem

I. Summary of the Text Beijing,may5,1998 Intel announces that it will invest US$50 0 million to open an information technology research and development center in Beijing, China The Intel China Research Center will explore Internet-related issue and information technology disciplines. It will improve the fundamental research level in high technology in China and promote the exchange and cooperation between

The simultaneous oxidation and sulfidation of Fe 25Cr and Fe-17Cr-l.5Si-0.5Al alloys was studied at 1023K and 1223K in H2-H2O-H2S gas mixtures. The kinetic boundary which indicates the transition from oxide to sulfide has heen found in these two alloys. The critical oxygen partial pressures of Fel7Crl.5SiO.5Al alloys were systematically lower than those of Fe-25Cr alloy. The reaction kinetics were measured by the stainless steel spring balance, and the reaction products were characterized by X-ray diffraction and scanning electron microscopy. The reaction rate usually decreased with the increase of the oxygen partial pressure at the constant sulfur partial pressure. The exista-nce of silicon plays an important role to suppress the sulfidation of Fel7Cr alloy