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question

Question 1. Brownian bridge [12 marks] Consider the process where 𝐵𝑡 is a standard Brownian Motion. (a) Show that 𝑋𝑡 is a standard Brownian bridge [3 marks]. (b)Find 𝐸[exp(2𝑋1/2 − 4𝑋1/3)] [3 marks]. (c) Find 𝐸[𝑋1/4|𝐵5/6] [3 marks]. (d)Using the result from (c), use R or Mathematica to compute 𝑃 (14 < 𝐸[𝑋1/4|𝐵5/6] < 12). …

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Serial Navier Stokes

#include #include #include #include #include using namespace std; const int Nx = 201; const int Ny = 101; const double Lx = 0.1, Ly = 0.05; const double rho = 1000, nu = 1e-6; const double P_max = 0.5; const double t_end = 50.0; const double dt_min = 1.e-3; const double courant = 0.01; const …

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Pipebend 2023

MINOR LOSS COEFFICIENT OF PIPE BEND Pressure differences in pipe are measured in locations indicated in the figure below. The distances are: L1 = 500 mm, L2 = 100 mm, L3 = 100 mm and L4 = 500 mm. The pipe diameter is constant and the pipe is located horizontally. The aim of the work …

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ECON7310 project2

Instruction ECON7310: Elements of Econometrics Research Project 2 Fu Ouyang May 15, 2023 Answer all questions following a similar format of the answers to your tutorial questions. When you use R to conduct empirical analysis, you should show your R script(s) and outputs (e.g., screenshots for commands, tables, and figures, etc.). You will lose 2 …

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DS2004 description

DiTella and Schargrodsky, American Economic Review (2004) ¡°Do Police Reduce Crime? Estimates Using the Allocation of Police Forces After a Terrorist Attack¡± The original replication file march2004_ditella_data.zip is taken from the AER website. https://www.aeaweb.org/aer/data/march2004_ditella_data.zip DS2004 is a slightly reorganized version of the posted data set. There are 7884 observations and 10 variables. The sample contains …

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MIIE Coding Task

1. Overview MIIE Computer Science RA Coding Task This task is meant to simulate some of the common data processing steps you will be undertaking in your position. Goal: we would like you to scrape this yearbook as a folder of images files from this website:https://www.classmates.com/yearbooks/Alameda-High-School/4182755124?pa ge=1 We anticipate the task will take on average …

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Gradle Project

Group Project (20%) Description In this project, you will learn to use Gradle commands(e.g. dependency) and write a Java program to parse the dependency structure of a project. Preparation a) Download and install Gradle properly as discussed in lab session. b)Download task1.zip from course webpage. c) Get familiar with Gradle commands. a) General goal: Write …

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