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Computational MCMC Bayesian Inference...? **Computational** MCMC Bayesian Inference **Computational** MCMC Bayesian Inference The Markov Chain Monte Carlo (MCMC) method employs Markov Chain to simulate Monte Carlo experiments. These experiments provide estimates to quantities by executing statistical experiments. MCMC takes a Bayesian approach to conduct the essential **mathematical** integration using simulation. In the Bayesian inference framework, probability estimation is used to quantify the uncertainty in the parameters (Chen, 2010). The data is certain and is considered fixed. On the other hand, parameters are uncertain and thus are represented as random variables. Since it is not usual to consider a single value of a parameter, we get a posterior distribution. A posterior... as This...

10 Pages(2500 words)Assignment

Mathematics Project...?Monthly Average Domestic Crude Oil Prices 2009 U.S. Average (in $/bbl Month Nominal Inflation Adjusted Jan-09 $33.07 $35.23 Feb-09 $31.04 $32.90 Mar-09 $39.88 $42.17 Apr-09 $42.20 $44.51 May-09 $51.02 $53.66 Jun-09 $61.46 $64.09 Jul-09 $56.16 $58.65 Aug-09 $62.80 $65.44 Sep-09 $60.98 $63.50 Oct-09 $67.43 $70.15 Nov-09 $69.43 $72.18 Dec-09 $66.33 $69.08 Jan-10 $69.85 $72.50 Feb-10 $68.04 $70.60 Mar-10 $72.90 $75.34 Apr-10 $76.31 $78.72 May-10 $66.25 $68.29 Jun-10 $67.12 $69.26 Jul-10 $67.91 $70.06 Aug-10 $68.34 $70.40 Sep-10 $67.18 $69.17 Oct-10 $73.63 $75.72 Nov-10 $76.00 $78.12 Dec-10 $81.01 $83.13 Source: http://www.fintrend.com/inflation/Inflation_Rate/Historical_Oil_Prices_Table.asp Month (Jan = 1) Nominal 1 $33.07 2 $31.04...

2 Pages(500 words)Assignment

Matlab problem...? **Matlab** programing Introduction This task was conducted in a bid to find a solution to the problem of optimizing combination of E12 resistors in series. Resistors are components of electricity which obstruct the flow of electric current and in the process make the current do actual work like lighting, heating, producing sound, magnetism and the like. This task tries to come up with a programming solution to the problem of combining resistors in a manner that would minimize the cost incurred in setting up the entire set up. The task is to come up with a **Matlab** program which shall be able to lay out the most optimal mode of combining E12 resistors so as to form a desired value of resistance. It is to see...

5 Pages(1250 words)Assignment

Wireless telecommunication + matlab program...are discussed. Generation of modulated signals is also discussed briefly along with useful equations and figures. In the end an appendix is presented in which **MATLAB** program is presented for Amplitude Modulation with the snapshot of the resulting graphs of signals. A similar program for Frequency Modulation is presented with resulting graphs of signals.
Table of contents: -
S. NO
Title
Page NO
1-
Introduction to wireless communication.
1
1.1-
History of wireless communication
1.2-
Techniques used for wireless communication
2-
Modulation
2.1-
Amplitude Modulation (AM)
2.1.1-
DSB-SC Amplitude Modulation
2.1.2-
Quadrature Amplitude Modulation (QAM)
2.1.3-
Single Side Band Amplitude (SSB) Modulation
2.1.4-
Vestigial...

6 Pages(1500 words)Assignment

MATLAB Dynamics & Control Assignment...XX20196 – Process Dynamics, Modeling & Control. **MATLAB** Dynamics & Control Assignment Report Written by Declaration: “I declarethat the work submitted is solely my own original work and that all sources that I have consulted have been duly acknowledged”
Signature:____________________ Date:__________________
Contents
Objectives: 2
Part 1 – Explore the dynamics of your open loop process. 2
Part 2 – Evaluate the “PID” control strategy. 18
Appendix 20
References 24
Objectives:
At the end of this assignment you should understand the principles behind analysis of process dynamics, and implementation and evaluation of a digital process control scheme.
Part 1 – Explore the dynamics of your open loop...

18 Pages(4500 words)Assignment

Matlab problem..., 5.0])
ylim ([2.0, 5.0])
legend ({Linear Regression, Regression + STDev}, Data, Reg STD)
% More **computations**
res = PV – Xn * aA; % res = e = PV - Xa
ResSS = res * res; % residual total of the square
TotSS = sum ((PV - mean (PV)). ^2); % total addition of the squares
R2 = 1 – ResSS / TotSS;
std_error = sqrt (ResSS / (NUM-numel (aA)));
std_PV = sqrt (TotSS / (NUM-1));
% Similar to the std (PV)
R2_adjust = 1 - (std_error/std_PV) ^2;
1. Output
Figure 1: **Matlab** Output
2. Documentation
2.1. Abstract
This project involved development of a linear regression program in **MATLAB** software. It was successful in the drawing of a graph of the relationship between two variables PV (dependent...

4 Pages(1000 words)Assignment

Matlab...**Matlab** Assignment: Problem 4 First Last Introduction Road construction involves leveling of the land. This cannot be achieved without removal of earth material as opposed to building a road along the slope of the hill.
When a road passes through a hilly terrain, the road is designed in such way to minimize excess earth materials to be brought into the site, or be taken from the site.
Thus the total areas (or volume) change before and after the road construction remains minimum, but the shape has been changed.
Fig 1.Longitude section of the hilly terrain.
A road needs to be built through a hilly terrain at a sloping angle of not more than 10 degrees with minimal material wastage. The various measurements (height of hill...

5 Pages(1250 words)Assignment

Matlab Assignment...Introduction From the lessons learnt about acceleration, position and velo of a moving body, the equation relating the three is shown below: Velocity = change in distance / time spend
Acceleration = change in speed v / change in time t
This project uses **matlab** program to load the available data for acceleration, use the acceleration to generate the corresponding values of velocity and then plot the relevant graphs for the acceleration and velocity of a moving body. Acceleration is represented as a (t). Using the equation for acceleration, we do an integration of the equations to produce the positions and the velocity being a function of the time.
Numerical Integration
The core subject of this project is the production of...

3 Pages(750 words)Assignment

Computational Fluid Dynamic...Introduction **Computational** fluid Dynamics (CFD) can be described as the art of replacing existing PDE systems with a set of algebraic equations which can be solved using digital **computers**. **Computational** fluid Dynamics (CFD) usually provides a qualitative prediction of the fluid flow by the means of **mathematical** modeling, numerical methods and software tools (Ferziger and Peric, 2006). CFD enables engineers and scientists to perform numerical environments in virtual flow laboratories. **Computational** fluid Dynamics (CFD) has a wide range of uses in the engineering and scientific research. It can be used by architects to produce 3D models of their...

11 Pages(2750 words)Assignment

Matlab...**MATLAB** Affiliation **MATLAB** Experiment 1.3. Solution
The first experiment employed the use of the two systems provided in the lab manual as shown below. They were incorporated into a **Matlab** script with the help of the ‘tf’ inbuilt transfer function.
Outlined below are the System Functions calculations that were used to facilitate the input of the **MATLAB** code function ‘tf’.
The **MATLAB** was then used in the calculation of the Transfer functions T(s). The resultant simplified system transfer functions are illustrated in Figure 1.3.1 below
Figure1.3.1
1.4. Test Results
Table 1: Experiment 1...

9 Pages(2250 words)Assignment