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Caltech - CS - 11
CS 11 C track: lecture 5n nLast week: pointers This week:n n n nPointer arithmetic Arrays and pointers Dynamic memory allocation The stack and the heapPointers (from last week)n nAddress: location where data stored Pointer: variable that holds an a
Caltech - CS - 11
CS 11 C track: lecture 2Last week: basics of C programming compilation data types (int, float, double, char, etc.) operators (+ - * / = = += etc.) functions conditionals loops preprocessor (#include)This week Preprocessor (#define) Operators and pre
Caltech - CS - 11
CS 11 C track: lecture 3nThis week:nArraysn none-dimensional multidimensionaln nCommand-line arguments AssertionsArraysn nWhat is an "array"? A way to collect together data of a single type in a single object A linear sequence of data objects e
Caltech - CS - 11
CS 11 C track: lecture 4 Last week: arrays This week: Recursion Introduction to pointersLab 4 Harder than previous labs One non-obvious trick hints on web page email me if get stuck Support code supplied for you Read carefully!Recursion (1)Sh
Caltech - CS - 11
CS 11 C track: lecture 6n nLast week: pointer arithmetic This week:nThe gdb program struct typedef linked listsn n ngdb for debugging (1)n ngdb: the Gnu DeBugger http:/www.cs.caltech.edu/courses/cs11/ material/c/mike/misc/gdb.html Use when program
Caltech - CS - 11
CS 11 C track: lecture 7 Last week: structs, typedef, linked lists This week: hash tables more on the C preprocessor extern constHash tables (1)Data structures we've seen so far:arrays structs linked listsHash tables (2)Hash tables are a new data
Caltech - CHE - 101
ChE 101 2012 Problem Set 11. Computational problem of the week: Every week, we will assign one problem designed to increase your exposure to numerical methods, improve your algorithmic thinking, and get you familiar with Matlab (you'll thank us once you
Caltech - CHE - 101
ChE 101 2012 Problem Set 2Read Schmidt, Sections 3.1-3.3 1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is kf = 25 hr-1 , and the rate coefficient of the reverse reaction is kb = 4 M-1 hr-1 . T
Caltech - CHE - 101
ChE 101 2012 Problem Set 3Read Schmidt Chapter 3 1. Find the minimum number of CSTRs connected in series to give an outlet conversion within 5 percent of that achieved in a PFR of equal total volume for: (a) first-order irreversible reaction of A to form
Caltech - CHE - 101
ChE 101 2012 Problem Set 4Read Schmidt, Chapter 4 1. Consider the reactions A D, A B, B C, r1 = k1 c2 A r2 = k2 cA r3 = k3with B the desired product. In the subsequent problems, you may use Mathematica to evaluate integrals and simplify algebraic expres
Caltech - CHE - 101
ChE 101 2012 Problem Set 51. Computational problem of the week: It is oft quoted that "when you ASSUME, you make an ASS of U and ME". In kinetics, we often make simplifying assumptions to make our modeling more tractable, but a good kineticist must alway
Caltech - CHE - 101
ChE 101 2012 Problem Set 6Read Schmidt, Chapter 71. Derivation of the Langmuir isotherm: In this problem, we will use the tools of statistical mechanics to derive the Langmuir adsorption isotherm and understand how it changes with temperature. All of th
Caltech - CHE - 101
ChE 101 2012 Problem Set 7Read Schmidt Chapters 5 and 10 1. The steady-state approximation is not valid until the reactive intermediates approach their steady-state concentration. The time required for this to occur is called the relaxation time tr . Pas
Caltech - CHE - 101
ChE 101 2012 Problem Set 8Read Schmidt Chapter 6 1. The inclusion of temperature effects in chemical reactor models makes the mass and energy balances intractable to solve analytically, since reaction rates depend on temperature in a highly nonlinear fas
Caltech - CHE - 101
ChE 101 2012 Problem Set 1 Solutions1. (a)i.f u n c t i o n varargout = eulers_method ( ode_func , t0 , tf , n , y0 ) t = l i n s p a c e ( t0 , tf , n+1) ; y = z e r o s ( l e n g t h ( y0 ) , n+1) ; y ( : , 1 ) = y0 ; h = ( tf - t0 ) / n ; for i = 1:
Caltech - CHE - 101
ChE 101 2012 Problem Set 2 Solutions1. Consider the following reversible elementary reaction: A 2B The rate coefficient of the forward reaction is kf = 25 hr-1 , and the rate coefficient of the reverse reaction is kb = 4 M-1 hr-1 . The aqueous phase reac
Caltech - CHE - 101
ChE 101 2012 Problem Set 3 Solutions1. (a) We will assume that all of the CSTRs have the same residence time. Thus, for n CSTRs in series, we have PFR CSTR = n Writing a mass balance on the nth CSTR, we see that cA,n-1 - cA,n = k CSTR cA,n Solving this b
Caltech - CHE - 101
ChE 101 2012 Problem Set 4 Solutions1. (a) We start with the balance on A in a CSTR, which tells us that = cA,0 - cA k1 c2 + k2 cA ARearranging terms, we obtain the equation k1 c2 + (1 + k2 ) cA - cA,0 = 0 A Applying the quadratic formula and taking the
Caltech - CHE - 101
ChE 101 2012 Problem Set 5 Solutions1. (a) The full ODE system to be solved is d[P ] dt d[ES] dt d[E] dt d[S] dt = kcat [ES] = kf [E][S] - (kcat + kb ) [ES] = (kcat + kb ) [ES] - kf [E][S] = kb [ES] - kf [E][S]Under the equilibrium assumption, the simpl
Caltech - CHE - 101
ChE 101 2012 Problem Set 6 Solutions1. (a) In order for the system to be in mechanical equilibrium, the pressure must be constant across the two phases. Next, in order to achieve thermal equilibrium, the temperatures of the two phases must be equal. Fina
Caltech - CHE - 101
ChE 101 2012 Set 7 Solutions1. The steady-state approximation is not valid until the reactive intermediates approach their steady-state concentration. The time required for this to occur is called the relaxation time tr . Past the relaxation time, the st
Caltech - CHE - 101
ChE 101 2012 Set 8 Solutions1. (a) The PFR mass balance is given by Equation 5.22 as u dcA E , = -k0 cA exp - dz RTwhere we have explicitly used the Arrhenius temperature dependence of k. The energy balance is given in Equation 5.31, u dT HR U pw E =- -
Caltech - CHE - 101
ChE 101 Chemical Reaction Engineering Final Exam ReviewWinter 2012Equation and Concept ReviewRemember to review the equations and concepts from the midterm exam review!Chapter 5: Nonisothermal ReactorsHeat removal and generation The rate of enthalpy
Caltech - ACM - 95b
Giordon StarkACM95b NotesMarch 13, 2010TABLE OF CONTENTS1st Order ODEs .4 Linear 1st Order ODEs .4 General Strategy (Leibniz) .4 Existence and Uniqueness .5 Complex Case .5 2 Order Linear IVPs .
Caltech - ACM - 95b
ACM95b/100b Lecture NotesNiles A. Pierce Caltech 2010Introduction to Dierential EquationsDierential equations relate derivatives of functions: a) Newtons second law dv d2 x F = ma = m =m 2 dt dt b) Radio carbon dating dy = ky, k = constant < 0 dt c) Ch
Caltech - ACM - 95b
ACM95b/100b Lecture NotesNiles A. Pierce Caltech 2010Reduction of OrderConsider the homogeneous 2nd order linear ODE Ly y + p(t)y + q (t)y = 0 (1)with p and q continuous on an open interval I . Suppose that one solution y1 (t) is already known. To nd
Caltech - PHYSICS - 129
Physics 129a Calculus of Variations 071113 Frank Porter Revision 0811201IntroductionMany problems in physics have to do with extrema. When the problem involves finding a function that satisfies some extremum criterion, we may attack it with various met
Caltech - PH - 129
Frank PorterJanuary 13, 2011Chapter 2SimulationThe technology of "Monte Carlo simulation" is an important tool for understanding and working with complicated probability distributions. This technique is widely used in both experiment design and analys
Caltech - PH - 129
Frank PorterFebruary 1, 2011Chapter 1Probability1.1Definition of ProbabilityThe notion of probability concerns the measure ("size") of sets in a space. The space may be called a Sample Space, or Event Space. We define a probability as a set function
Caltech - PH - 129
Physics 129a Measure Theory 071126 Frank Porter1IntroductionThe rigorous mathematical underpinning of much of what we have discussed, such as the construction of a proper Hilbert space of functions, is to be found in "measure theory". We thus refine th
Caltech - PH - 129
Physics 125c Course Notes Approximate Methods 040415 F. PorterContents1 Introduction 2 Variational Method 2.1 Bound on Ground State Energy . . . . . . 2.2 Example: Helium Atom . . . . . . . . . . 2.3 Other Applications of Variational Method 2.4 Variatio
Caltech - PH - 129
36Frank PorterApril 18, 2010Chapter 3Reverend Bayes and Professor NeymanScientists use statistics in the process of gathering and interpreting information relevant to interesting questions. They sometimes like to pretend that there is no philosophica
Caltech - PH - 129
Complex Variables 020701 F. Porter Revision 0910061IntroductionThis note is intended as a review and reference for the basic theory of complex variables. For further material, and more rigor, Whittaker and Watson is recommended, though there are very m
Caltech - PH - 129
Physics 129a Hilbert Spaces 051014 Frank Porter Revision 0810091IntroductionIt is a fundamental postulate of quantum mechanics that any physically allowed state of a system may be described as a vector in a separable Hilbert space of possible states. H
Caltech - PH - 129
Physics 195a Course Notes Ideas of Quantum Mechanics 021024 F. Porter1IntroductionThis note summarizes and examines the foundations of quantum mechanics, including the mathematical background.22.1General Review of the Ideas of Quantum MechanicsStat
McGill - PH - 357
Homework #1 - Probability distribution Due Sept. 16, 2011 at 11:35, in classTami Pereg-Barnea1. Griffiths 1.4+: At time t = 0 a particle is represented by the wavefunction: A x if 0 x a a (x, 0) = A b-x if a x b b-a 0 otherwise(1)where a and b are con
McGill - PH - 357
Problem set 2 - Fourier transforms -functions and quantum dynamicsdue on Friday, September 23rd, in class.(Dated: September 16, 2011)1. Width of a Gaussian wave packet. In class we talked about the time evolution of a gaussian wave packet. We saw that
McGill - PH - 357
1Problem set 4 - The harmonic oscillatorDue: Oct. 10, 2011, in class Posted on Oct. 3, 2011 1. Typical scales in harmonic oscillators. Modern cold-atoms research concentrates on trapped atoms, which are futher constrained to move in an optical lattice.
McGill - PH - 357
1Problem set 5 - Free space and sharp potentialsDue: Oct. 19, 2011, in class Posted on Oct. 12, 2011 1. A particle in a parabolic potential is set free. This is similar to the 3rd problem in problem set 2. Imaginek a parabolic potential described by th
McGill - PH - 357
1Problem set 6 - Sharp potentialsDue on Wednesday, October 25, 2011. Posted on Oct. 19 1. To the edge of the cliff and back. In classical mechanics a particle hitting the a wall (i.e. a potential jump) gets reflected. In quantum mechanics, a particle wi
Caltech - PH - 357
1Problem set 3 - Square well potentialDue: Sept. 30, 2011, in class Posted on Sept. 23, 2011 1. Bohr Sommerfeld quantization of a particle in a box Assume we did not know about Schrdinger o formalism and wanted to solve the particle in a box problem. Ac
Caltech - MATH - 2b
MATH 2B WINTER 2012 HOMEWORK 1DUE MONDAY 1/9 AT 10AMAll numbered problems are from Pitman. 1.3.8: Let A and B be events such that P (A) = 0.6, P (B) = 0.4, P (AB) = 0.2. Find the probabilities of: (a) A B, b) Ac , c) B c , d) Ac B, e)A B c f) Ac B c 1.3
Caltech - MA - 2b
MATH 2B WINTER 2012 HOMEWORK 2DUE TUESDAY 1/17 AT NOONNote the deadline is shifted due to the holiday! All numbered problems are from Pitman. (1) 2.1.6 (2) 2.1.12. For this problem, assume that the casino is using the more common double zero wheel. This
Caltech - MA - 2b
MATH 2B WINTER 2012 HOMEWORK 3DUE MONDAY 1/23 AT NOONAll numbered problems are from Pitman. (1) 3.1.10 (2) 3.1.16 (3) 3.2.5 (4) 3.2.14 (5) 3.review.22 (6) (counts as 3 problems) [Gambler's Ruin] A gambler repeatedly bets a dollar on a sequence of i.i.d.
Wisconsin Milwaukee - HIST - 210
History 248 Fall 2008 Essay Assignment 1 HISTORY 248 (Fall 2008) Essay Assignment 11DUE: In your section meeting in Week 6 (10/9/08 or 10/10/08) Value: 20% of course grade Essay Requirements: 4-6 pages. You must have at least four full pages and not mor
Wisconsin Milwaukee - ENGLISH - 170
Movie Review V for Vendetta Some say the book is always better than the movie; I have heard this comment twice this week once on Twilight and another one on Sisterhood of the Travelling Pants. But I would like to hold an opposite comment towards V for Ven
Wisconsin Milwaukee - LING - 100
Sep 2, 2008-Dec 11, 20081Linguistics 210POWER OF WORDSFall 2008Prerequisites: None. Instructor: Assistants: Hamid Ouali ouali@uwm.edu tel. 229-1113Hie-Jung You (Hina) hyou@uwm.edu tel. 229-3672 Brenden Mason bjmason@uwm.eduOffice Hours:Ouali: You
Wisconsin Milwaukee - LING - 300
History 248 Fall 2008 Essay Assignment 2 Question 1: Explain how total war redefined internal and external threats for multiethnic empires. In particular, examine how the war affected the interests and goals of national minority leaders. Nationalism is on
Wisconsin Milwaukee - LING - 300
Natalie Yu (Yu Tsz Sum) February 28, 2009 JMC 101 Intro to Mass Media Section 608 Jennifer Draeger The Torch in Her Hand Shines "Like No OtherTM "Growing up in Hong Kong, I remembered Japan-founded companies had always dominated the electronics market in
Wisconsin Milwaukee - LING - 300
Natalie Yu 1. What is the difference between linguistics and linguistic anthropology? According to Salzmann (and me having taken both linguistics and linguistic anthropology courses), there are certain resemblance and divergence between linguistics and li
Wisconsin Milwaukee - LING - 300
Natalie Yu 3. How do the Hopi examples help illustrate the relationship between language and thought in the Sapir-Whorf hypothesis? The Sapir-Whorf hypothesis suggests that a people's worldview is reflected from the lexicon and grammar of their language.
Wisconsin Milwaukee - LING - 300
Natalie Yu (,Tsz Sum) 4. Define and illustrate the following terms: phonology, morphology, syntax, semantics, and discourse. To start briefly, phonology, morphology, syntax, semantics are the different aspects that linguists study in the structure of lang
Wisconsin Milwaukee - LING - 300
Natalie Yu 5. How does the phrase "Colorless green ideas sleep furiously" help us understand the difference between language acquisition and language learning? From the very first video we saw in the course, the famous sentence by Noam Chomsky, "Colorless
Wisconsin Milwaukee - LING - 300
Natalie Yu 6. Will computers conversing with humans represent the next stage of language evolution? Many says that computers have been "taught" to talk, but according to Napoli (and in my own opinion), computers do not have language; the sounds they are p
Wisconsin Milwaukee - LING - 300
Quiz (Discussion Focus) One 1.What distinction does Napoli make between communication and language?According to Napoli, to communicate is one of the main purposes of language. And there are many ways to communicate, using language is one of them, yet ma
Wisconsin Milwaukee - LING - 300
Natalie Yu Anthro 105401 March 4, 2009 Week #6 Pop Language Project Q: Does computer language constitute the next human language?zLanguage changes swiftly especially in recent decades with the emergence of pop culture. With the booming popularity of the
Wisconsin Milwaukee - LING - 300
1Natalie Yu (Yu Tsz Sum) HIST 249-609 March 1, 2009 HISTORY 249 (Spring 2009) Essay Assignment 1 Question 1 Examine the Challenges that European governments faced at the end of the First World War. Why did extreme ideologies gain in this period? Be sure
Wisconsin Milwaukee - LING - 300
Natalie Yu February 1, 2011 German Beginners 2 Dialog 1 (P.52) (Black font= Kunde Brown font= Verkauferin) Tag! Tag! Sie wnschen? Ich htte gern Orangen. Wie viel Orangen mchten Sie? 1 kg, bitte. Haben Sie auch Apfel? Ja, natrlich. Auch 1 kg mchten Sie? Hm