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Problem 1 Deal-Grove model states that the thickness of the oxide is related to a time constant r and two constants A and b by the relation
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The expectation or expected value of a random variable is a single number that tells you a lot about the behavior of the variable. Roughly, the expectation is the average value, where each value is weighted according to the probability that it comes up. Formally, the expected value of a random variable r defined on a sample space s is: (B)=∑R()Pr(o) To appreciate its signficance, suppose S is the set of students in a class, and we select a student uniformly at random. Let r be the selected student's exam score. Then
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1)Plot resolution and depth of field as a function of exposure wavelength for a projection aligner with 100nm
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All the questions are from Plummer, Chapter 10, p.679-680, which was handed out in class 1)Question 10.3 2) Question 10.4 3)Question 10.5 4) Question 10.6
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Chapter 4: SQL Background Basic Structure Set Operations Aggregate Functions Null Values Nested Subqueries Derived Relations Views Modification of the Database Joined Relations
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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
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Expectations and Conditional Expectations Definition 1 Discrete Random Variable random wariable is discrete f the set of outcomes is either finite in number or countably
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1. Re-derive the equation for equilibrium swelling of a polyelectrolyte gel where the polymer chains contain a basic ionizable group that becomes positively charged with decreasing pH
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1. Re-derive the equation for equilibrium swelling of a polyelectrolyte gel where the polymer chains contain a basic ionizable group that becomes positively charged with decreasing pH
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A recent study of controlled release of a model small-molecule drug from poly (lactide-co-glycolide) microspheres prepared by the single-emulsion method found that the diffusion constant of the drug through the polymer was best related to the polymer's molecular weight according to
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