1 Strong Induction Recall the principle of strong induction: Principle of Strong Induction. Let(n) be a predicate. If ·P() is true,and for all n, P(O)A P(1)...A P(n) implies P(n+1), then P() is true for all n E N. As an example, let's derive the fundamental theorem of arithmetic

Diffusion: Read Plummer Chap. 7, sections 7.1-7.4,, 7.53, 7.5.8 Show that c(zt) Wroexpfzla)I,with a=2VDf, is a solution to Fick's second law of diffusion. ac(z, t) dc(zt) 2. a) What is the intrinsic carrier concentration in Si at 1100 C? b) Calculate the effective diffusivity (including first-order, charged-vacancy corrections)for As impurities in Si at 1100 C for two cases: 1)CAs=10 cm and ii)

I. Plot resolution and depth of field as a function of exposure wavelength for a projection aligner with 100nm< A <500nm. Assume NA=0.26. Recalculate on the same plot for NA=0.41. Discuss the implication of these plots for the technologist that must manufacture transistors with 0.5 um

Write a compact sentence that describes the molecular origin of gas pressure, including its temperature and mass dependence. [51 A: P is due to change in momentum Ap = m Av of molecules striking a surface velocity Increases as VTm

Ron Suiter, BSEE Lehigh, MBA USC Ron began his career as an aircraft system designer in Douglas Aircraft Company's Hydro-Mechanical system design group. He became Unit Chief of the braking system design

This volume is an attempt to explore the value of rational-choice analysis for the study of international law. As the editors suggest, the field of international law has been quite resistant to rational-choice analysis. It is important to recognize, however, that the enterprise of which this volume is an example is not new. Political scientists have used

一、定语从句的基本用法 二、关系代词与关系副词 三、限制性定语从句与非限制性定语从句 四、关系代词”That与” Which” 五、As在定语从句中的用法

Medical Genetics Birth defects are defined as abnormalities of structure, function or body metabolism that are present at birth

molecular switches Proteins as motors in nanodevices Today. nano-and micro-particle drug carriers Reading D A Hammer and D.E. Discher, ' Synthetic cells- Self-assembling polymer membranes and bioadhesive colloids, Annu. Rev. Mater Res, 31, 387-404 (2001) Nano- and Micro-scale Drug Carriers and Detection Reagents Nano- to Micro-particle polymer-protein

Problem Set 3 Prof. Gene Chang (For Ph. D students, due on Dec. 28th in the class, or TA's office. For M.A. students, due on Dec. 26th, in the class or TA's office. Late turn-in may result in a penalty in the grade) 1. Kland is a Robinson Crusoe type economy. Robinson, as the consumer and the owner of the firm, has the utility function U(x,) =aIn x+ BInI, where is leisure. Robinson's endowment