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Imperial College

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School: Imperial College
Course: Pap
T UGAS 6 PPK ASPEN Sebuah pilot plant pembuatan gas H 2 dari metanol akan discale up menjadi pabrik dengan skala besar. Pilot plant ini terdiri atas dua buah reaktor yang menggunakan katalis yang berbeda : Tabel 1. Data Reaktor Reaktor PFR 1 PFR 2 Tabel
School: Imperial College
Course: Differentials
Introductory Optics System I Experiment EQUIPMENT Dispersion and Total Internal Reflection ] NEEDED: Optics Bench Ray Plate and Base Slit Plate Light Source Component Holder Slit Mask Cylindrical Lens Viewing Screen. Ray Table Component Holder An
School: Imperial College
Course: Probability And Statistics II
49 Taking limiting cases of the Studentt distribution n : St(n) N (0, 1), n 1 : St(n) Cauchy. 7. If X1 N (1 , 2 ) and X2 N (2 , 2 ) are independent and a, b are constants, then 1 2 T = aX1 + bX2 N (a1 + b2 , a2 2 + b2 2 ). 1 2 50 CHAPTER 4. CONTINUOUS PR
School: Imperial College
Course: Probability And Statistics II
2.6. TRANSFORMATIONS OF RANDOM VARIABLES 25 and, by dierentiation, because g is monotonic increasing, fY (y) = fX (g 1 (y) d g 1 (t) dt t=y = fX (g 1 (y) d g 1 (y) dt t=y , as d g 1 (t) > 0. dt Case (II): If g is decreasing, then for x X and y Y we have g
School: Imperial College
Course: Probability And Statistics II
7.3. HYPOTHESIS TESTING 65 In the Normal example given above, we have that: z is the test statistic; The distribution of random variable Z if H0 is true is the null distribution; = 0.05 is the signicance level of the test (choosing = 0.01 gives a stron
School: Imperial College
Course: Probability And Statistics II
49 Taking limiting cases of the Studentt distribution n : St(n) N (0, 1), n 1 : St(n) Cauchy. 7. If X1 N (1 , 2 ) and X2 N (2 , 2 ) are independent and a, b are constants, then 1 2 T = aX1 + bX2 N (a1 + b2 , a2 2 + b2 2 ). 1 2 50 CHAPTER 4. CONTINUOUS PR
School: Imperial College
Course: Probability And Statistics II
2.6. TRANSFORMATIONS OF RANDOM VARIABLES 25 and, by dierentiation, because g is monotonic increasing, fY (y) = fX (g 1 (y) d g 1 (t) dt t=y = fX (g 1 (y) d g 1 (y) dt t=y , as d g 1 (t) > 0. dt Case (II): If g is decreasing, then for x X and y Y we have g
School: Imperial College
Course: Probability And Statistics II
7.3. HYPOTHESIS TESTING 65 In the Normal example given above, we have that: z is the test statistic; The distribution of random variable Z if H0 is true is the null distribution; = 0.05 is the signicance level of the test (choosing = 0.01 gives a stron
School: Imperial College
Course: Probability And Statistics II
2.8. JOINT PROBABILITY DISTRIBUTIONS 33 Example 2.6 We record the delay that a motorist encounters at a oneway trac stop sign. Let X be the random variable representing the delay the motorist experiences. There is a certain probability that there will be
School: Imperial College
Course: Probability And Statistics II
6.3. MODES OF STOCHASTIC CONVERGENCE 6.3 6.3.1 57 MODES OF STOCHASTIC CONVERGENCE CONVERGENCE IN DISTRIBUTION Denition 6.3.1 Consider a sequence cfw_Xn , n = 1, 2, . . ., of random variables and a corresponding sequence of cdfs, FX1 , FX2 , . so that for
School: Imperial College
Course: Seismology
A Brief History of Global Seismology ! China in 1800BC the first earthquakes to Michaela Salacinski of history took place. At the time they were In be referenced in all believed to be generated by supernatural causes (Bullen, 1985). In 330BC the Greeks,
School: Imperial College
Course: Gasification
GUIDELINES FOR ACADEMIC ESSAYS Different types of research projects: Expository Analytic Argument Good essays generally combine the above elements and are not merely descriptive. What research writing is not: A string of quotations. A personal essay with
School: Imperial College
Course: Gasification
THEAUSTRALIANCENTREGUIDETOWRITINGESSAYSANDTHESES 1.Whatisanessay? ThewordessaycomesfromtheMedievalFrenchwordassaymeaningtoweighortotest.An essayweighsortestsanideaorhypothesis.Itdevelopsanargumentaboutaclearlydefinedissue. Oftenthisargumentincludesadialog
School: Imperial College
Course: ENglish
English1ASampleEssays "Good"LiteraryAnalysisEssay:OfMiceandMen TeacherCommentary AsthefirstanalyticalessaycompletedinafreshmanAlevelclass,thispaperdoesasolidjobofstatinga specificthesiswhichconnectstwomajorincidentsinthenovelandleadsthewritertothinkcritic
School: Imperial College
Course: ENglish
AP Englishsome comments on timed essays When you write a formal essay outside of class, you can spend several hours on it. On an inclass essay (and on the AP test), you have only 40 minutesor less. On two of the three AP Literature essays, you must study
School: Imperial College
Course: ENglish
Notes on Cause/Effect Essays for English 111 In choosing a topic for a cause/effect essay for English 111, use the same rules that you used in choosing a topic for a definition essay: Just as you shouldn't choose something simple to define, like "table" o
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geometry and Linear Algebra Introductory Problem Sheet (not for assessment) 1. In the world famous East Grinstead Zoo, the elephants and tigers all live in the same enclosure. Their relationships obey the following rules: (1) There is at least one e
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geometry and Linear Algebra Solutions to Problem Sheet 9 1. Not a (signicant) vector space, eg for v = Liebeck there is no negative vector v such that v (v) = Liebeck. 2. (i) 0 = (0 + 0) = 0 + 0 by axiom S1. Subtracting 0 from both sides gives 0 = 0
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geometry and Linear Algebra, Solutions to Sheet 7 10 3 1. (i) This is xT Ax = 4, where A = 3 . Evalues of A are 11,1, unit evectors 2 3 1 , v2 = 1 . So if P = (v1 v2 ) then the change of variables x = P y 10 1 3 2 2 reduces eqn to 11y1 + y2 = 4, an
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geometry and Linear Algebra, Solutions to Sheet 8 1. (a) Line is cfw_(3, 1, 2) + (3, 0, 6) : R. Plane is 2x1 + 5x2 x3 = 9. (b) Plane 2x1 x2 + x3 = 1. Line cfw_(1, 2, 1) + (2, 1, 1) : R. 2. Same proof as for R2 , see Sheet 2, Q7. Distance 6. 3. (i) S
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geom and Linear Algebra, Solutions to Sheet 6 1. (i) Evalues 1,3. Corresponding evectors a a and b 2b (any nonzero 1 1 real numbers a, b). So eg. P = will do. 1 2 a b c 1 1 1 (ii) Evals 1,2,3. Evecs 0 , b , c (any a, b, c = 0). P = 0 1 1 0 0 c 0
School: Imperial College
Course: Geometry And Linear Algebra
M1GLA Geometry and Linear Algebra, Solutions to Sheet 5 1. (i) False for any pair A, B such that AB = BA, eg A = 0 1 1 0 0 1 ,B = 1 . 0 (ii) False, eg A = B = 0 0 1 . 0 (iii) True: assume A, B both invertible and AB = 0. Then 0 = A1 (AB) = (A1 A)B = B, co
School: Imperial College
Course: Probability And Statistics II
1. (a) Explain what is meant by a eld A of subsets of a sample space . Let A and B belong to some eld A. Show that A contains the set A B. What is meant by a probability space? (b) Let X and Y have joint probability density of the form fX,Y (x, y) = cx2 y
School: Imperial College
Course: Differential Equations
Imperial College London M2AA1 Diferential Equations: Test 3. MarchApril 2014. You can take more than one hour for this test. Name (IN CAPITALS!): . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CID: . . . . . . .
School: Imperial College
Course: Differential Equations
Imperial College London M2AA1 Diferential Equations: Test 3. MarchApril 2014. You can take more than one hour for this test. Name (IN CAPITALS!): . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CID: . . . . . . .
School: Imperial College
Course: Differential Equations
Imperial College London M2AA1 Diferential Equations: Class Test 2. 11/3/2014 Name (IN CAPITALS!): . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CID: . . . . . . . . . . Markers initials: . . . . . . . . . . . Q1
School: Imperial College
Course: Differential Equations
Imperial College London M2AA1 Diferential Equations: Practise Exam Paper May 2013 This paper contains more questions than the real paper, in order to encourage you to cover all topics of the material. You should therefore allow yourself to spend 2 1/4 hou
School: Imperial College
Course: Differential Equations
Imperial College London M2AA1 Diferential Equations: Practise Exam Paper May 2013 This paper contains more questions than the real paper, in order to encourage you to cover all topics of the material. You should therefore allow yourself to spend 2 1/4 hou
School: Imperial College
Course: Algebraic Topology
HOMEWORK 1 Problem 1: Let f : X Y be a quotient map of topological spaces. (a) Show that if Y is Hausdor, then the bers f 1 (y) (y Y ) are closed. (b) Is Y necessarily Hausdor if all the bers are closed? Solution: (a) Quotient maps are continuous, so prei
School: Imperial College
Course: Algebraic Topology
SOLUTION TO QUESTION 1 OF HOMEWORK 8 As I said in lecture, the questions on this problem sheet are much too dicult. Nevertheless Im posting a solution to Question 1 here since this should help clarify the MayerVietoris sequence for mapping tori, for thos
School: Imperial College
Course: Algebraic Topology
HOMEWORK 2 Problem 1: Let X, Y be topological spaces, A X a subspace, and f : A Y a quotient map. Show that X f Y is homeomorphic to the quotient X/, where is the equivalence relation on X generated by x1 x2 for all x1 , x2 A for which f (x1 ) = f (x2 ).
School: Imperial College
Course: Algebraic Topology
HOMEWORK 7 Problem 1: Let X be an arbitrary nonempty set. Compute the singular homology of X equipped with the trivial topology cfw_, X and of X equipped with the discrete topology. Solution: Let Xtriv and Xdisc denote the topological space that consists
School: Imperial College
Course: Algebraic Topology
HOMEWORK 5 Problem 1: Van Kampens theorem talks about decompositions X = U V , where U, V are open and pathconnected, and U V = is pathconnected as well. Show that the assumption that both U and V are open is necessary for the theorem to hold. Solution:
School: Imperial College
Course: Algebraic Topology
HOMEWORK 6 0 1 2 n1 n Problem 1: Let 0 V1 V2 . Vn 0 be a complex of vector spaces, meaning that the Vi are vector spaces and the i are linear maps with i i1 = 0 for i = 1, ., n. In particular, ker i im i1 , so it makes sense to dene the quotient spaces Hi
School: Imperial College
Course: Differentials
Introductory Optics System I Experiment EQUIPMENT Dispersion and Total Internal Reflection ] NEEDED: Optics Bench Ray Plate and Base Slit Plate Light Source Component Holder Slit Mask Cylindrical Lens Viewing Screen. Ray Table Component Holder An
School: Imperial College
Course: Stochastic Simulation
M3S9/M4S9: R tutorial II Formatting data There are several useful functions in order to format data. The truncfunction acts like floor for elements greater than 0 and like ceiling for elements less than 0. The round function allows you to specify how many
School: Imperial College
Course: Stochastic Simulation
M3S9/M4S9: R tutorial I What is R? R is a language and environment for statistical computing and graphics. R provides a wide variety of statistical (linear and nonlinear modelling, classical statistical tests, timeseries analysis, classication, clusterin
School: Imperial College
Course: Stochastic Simulation
M3S9/M4S9: R tutorial III HighLevel Plotting Functions Here, we introduce plotting functions which produce a complete gure by themselves, the most prominent of these is the function plot(), which, as its default, produces scatter plots. plot(x,y, type="p
School: Imperial College
Course: Differentials
Introductory Experiment II Optics System The Telescope II EQUIPMENT NEEDED: Optics Bench 150 mm Focal Length Convex Lens L1 (150 mm Lens) 75 mm Focal Length Convex Lens Component Holders (2) f    Line of sight Figure 21.1 The Telescope Introduction
School: Imperial College
Course: Differentials
S, M, E Division  Physics 204Lab Report Rubric Data Questions A lab title is missing from the lab report The summary clearly reflects the objective, the method followed, the data collected, a discussion of the results and cites specific evidence, discus
School: Imperial College
School: Imperial College
School: Imperial College
School: Imperial College
School: Imperial College
Course: Medication Mathematics
Imperial Valley College Division of Nursing Education and Health Technologies NURS100 Study Guide IVPB's Order: 50 mL D5W with 1 Gm Keflin  run over 40 min. 1. Calculate the volume/min. using a standard microdrip tubing. 2. Calculate the volume/mi
School: Imperial College
Course: United States From 1877
History 121 MaryJo Wainwright, Instructor CHAPTER 25 STUDY GUIDE World War II, 1941 1945 Chapter Focus Questions: What events led to Pearl Harbor and the declaration of war? How were national resources marshaled for war? What characterized
School: Imperial College
Course: Differentials
PHYSICS 232 FUNDAMENTALS OF PHYSICS: Wave, Optics and Modern Physics Dr Kate Jones Ayres 220a* kgrzywac@utk.edu General Information Class Hours: 11:15 12:05 Mon/Wed/Fri Office Hours: 14:00 16:00 Wed/Fri and by appointment Text: Young & Freedman, Universit
School: Imperial College
Course: Gasification
1 English Composition 101 Syllabus: Spring 2010 Office Phone: 7326802 Office Hours: MW 1112; T 23; F 111 Or by appointment Dr. Morache Office: 112 Shields EMail: jmorache@csi.edu Welcome to English 101! Writing is the essential means for deepening an
School: Imperial College
Course: Gasification
Spring Semester, 2009 Syllabus: English 2121 (Section 01CRN 24019) Instructor: Dr. Ruth Caillouet Class Time and Place: Tues/Thurs 12:452:00; Technology T222 Contact Information: Office: A&S 210J; Phone: 6784664741 Office Hours: Tuesday and Thursday 11
School: Imperial College
Course: Gasification
English 101A Syllabus Montgomery College English Composition, Literature & Professional Writing Department Rockville Campus, Fall 2004 N.B. Syllabus subject to change at my discretion DO NOT THROW AWAY ANY OF YOUR WORK IN THIS COURSE. Professor Redmond Of
School: Imperial College
Course: Gasification
Page 1 of 6 ENGLISH 102, SECTIONS 045 AND 407 "Hang up philosophy" (R&J 3.3.57) "Madam, I will" (TN 4.1.65) Instructor: Benjamin Worth Email: bworth@pop.uky.edu Office: AT 201J Office Phone: (606) 2574872 ext. 4085 Hours: M 912 AM or by appointment Area
School: Imperial College
Course: Discrete Mathematics
Course Information Math 240 Discrete Math Fall 2008 3 credits Description: This course is an introduction to the theory of discrete mathematics and includes elementary concepts in logic, set theory, graph theory, number theory and combinatorics. Th
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Source: National Center for Education Statistics (NCES), Institute of Education Sciences, 20122013
Course Hero, Inc. does not independently verify the accuracy of the information presented above.