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Fayetteville State University - MCMC - 05
Write in you answers for the following simulations and turn this worksheet in. Use your personal seed for all simulations. Send all (asked for) plots in ONE e-mail. - a0303_06: CPU time for the run: Energy em per spin with error bar:
Fayetteville State University - MCMC - 07
Continuous Systems: Heisenberg Spin ModelWe give an example of a model with a continuous energy function. The 2d version of the model is known as -model and of interest in eld theory because of its analogies with 4d Yang-Mills theory. In statistical
Fayetteville State University - MCMC - 07
Lecturenotes Statistics I Contents1. Uniform and General Distributions 2. Condence Intervals, Cumulative Distribution Function and Sorting1Uniform and General DistributionsUniform distribution (probability density): u(x) = 1 for 0 x < 1; 0 e
Fayetteville State University - MCMC - 07
The Jackknife ApproachJackknife estimators allow to correct for the bias and the error of the bias. The method was introduced in the 1950s in papers by Quenouille and Tukey. The jackknife method is recommended as the standard for error bar calculat
Fayetteville State University - MCMC - 07
Bayesian StatisticsKolmogorov Axioms and Conditional Probabilities We denote events by A, B, C, . . . , and use the following notation: 1. A B = A and B, the event that A and B both occur. 2. Ac = not A, the event that A does not occur. 3. E, the e
Fayetteville State University - MCMC - 07
Markov Chain Monte Carlo Simulations and Their Statistical Analysis An OverviewBernd Berg FSU, August 28, 2007Content1. Statistics and Monte Carlo (MC) calculations 2. Markov Chain Monte Carlo (MCMC or just MC) 3. Statistical Analysis of MCMC D
Fayetteville State University - MCMC - 07
Lecturenotes 4 MCMC I Contents1. Statistical Physics and Potts Models 2. Sampling and Re-weighting 3. Importance Sampling and Markov Chain Monte Carlo 4. The Metropolis Algorithm 5. The Heatbath Algorithm (Gibbs Sampler) 6. Start and Equilibration
Fayetteville State University - MCMC - 07
Lecgture 10: Computer Simulations of Generalized EnsemblesBernd A. BergFlorida State UniversityNovember 6, 2007Bernd A. Berg (FSU)Generalized EnsemblesNovember 6, 20071/1Overview1. Reweighting 2. Umbrella Sampling 3. Binders Method for
Fayetteville State University - MCMC - 07
Lecturenotes Statistics II Contents1. The Central Limit Theorem and Binning 2. Gaussian Error Analysis for Large and Small Samples1The Central Limit Theorem and BinningHow is the sum of two independent random variables y r = xr + xr . 1 2 (1)
Fayetteville State University - MCMC - 07
Parallel ComputingAfter briey discussing the often neglected, but in praxis frequently encountered, issue of trivially parallel computing, we turn to parallel computing with information exchange. Our illustration is the replica exchange method, als
Fayetteville State University - MCMC - 07
Lecturenotes 7 MCMC III Contents1. Statistical Errors of Markov Chain MC Data 2. Autocorrelations 3. Integrated Autocorrelation Time and Binning 4. Illustration: Metropolis generation of normally distributed data 5. Self-consistent versus reasonab
Fayetteville State University - MCMC - 07
1000 Histograms Multicanonical =0.711000.30.40.50.6 act0.70.80.91
Fayetteville State University - MCMC - 07
20 18 16 14 12 int 10 8 6 4 2 0 50 100 t 150 200 250 L=40 1-hit Metropolis L=80 1-hit Metropolis L=40 2-hit Metropolis L=80 2-hit Metropolis L=40 heat bath L=80 heat bath
Fayetteville State University - MCMC - 07
0.1100.1052fs0.1000.095 0.00 0.02L-10.040.06
Fayetteville State University - MCMC - 07
1 0.8 F and Fq 0.6 0.4 0.2 0 0 0.2 0.4 x 0.6 0.8 1 Empirical F and Fq Exact F and Fq
Fayetteville State University - MCMC - 07
Student probability densities Nf=N-1. 0.4 0.35 0.3 0.25 f(t) 0.2 0.15 0.1 0.05 0 -3 -2 -1 0 t 1 2 3 Nf=8 Nf=5 Nf=3 Nf=2 Nf=1
Fayetteville State University - MCMC - 07
14 12 10 int 8 6 4 2 0 10 20 30 t SW L=160 SW L= 80 SW L= 40 SW L= 20 W L=160 W L= 80 W L= 40 W L= 20 40 50 60
Fayetteville State University - MCMC - 07
-2 -3 -4 -5 f -6 -7 -8 -9 -10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Ising 10 state Potts
Fayetteville State University - MCMC - 07
0.5 0.4 0.3 Fq 0.2 0.1 0 0.36 0.38 0.4L=20 L=34 L=60 L=1000.42 0.44 0.46 0.48 actm0.5
Fayetteville State University - MCMC - 07
3.5 3 2.5 2 g6 5 4 3 21.5 1 0.5 0 0 0.2 0.4 x 0.6 0.8 1
Fayetteville State University - MCMC - 07
7000 6000 Histograms 5000 4000 3000 2000 1000 0 0 -0.5 e -1 -1.5 -2 multicanonical beta=0.0 beta=0.2 beta=0.4
Fayetteville State University - MCMC - 07
1 0.8 Uniform yr0.6 0.4 0.2 0 -10-50 Cauchy xr510
Fayetteville State University - MCMC - 07
1 0.08 0.8 0.6 C(t) | 0.00 0.4 0.2 0.08 0 0 5 10 15 t 20 25 30
Fayetteville State University - MCMC - 07
1 0.8 0.6 0.4 0.2 0 0 0.2 0.4 0.6 0.8 1 Action variable q=10actm
Fayetteville State University - PHY - 2048
Momentum Conservation (Tipler-Mosca Chapter 8) The Center of Mass (CM):The CM rcm moves as if all the external foces acting on the system were acting on the total mass M of the system located at this point. In particular, it moves with constant velo
Fayetteville State University - PHY - 2048
Announcement 1. Dr. Baba Jain will be holding a help session on Friday, Oct. 10, at 3:30 pm in UPL 110. 2. Look up your mini scores on the CAPA system and compare with your records! 3. Dr. Frawley is responsible for mini 3. Results were not good (7.9
Fayetteville State University - PHY - 5846
PHY5846C: INTRODUCTION TO EXPERIMENTAL TECHNIQUESPARTICLE DETECTION 1. Consider an particle of 5 MeV kinetic energy moving in silicon; a what is its range i.e. the distance travelled before it stops? b make a rough estimate of the time required for
Fayetteville State University - PHY - 98
PHY5846C: INTRODUCTION TO EXPERIMENTAL TECHNIQUESPARTICLE DETECTION 1. Consider an particle of 5 MeV kinetic energy moving in silicon; a what is its range i.e. the distance travelled before it stops? b make a rough estimate of the time required for
Fayetteville State University - PHY - 5846
PHY5846C: INTRODUCTION TO EXPERIMENTAL TECHNIQUES1. The luminosity of a colliding beam machine is de ned by N= ; where N interactions occur per second for cross section . For a machine with n1; n2 particles per bunch in the two beams with nB bunches
Fayetteville State University - PHY - 98
PHY5846C: INTRODUCTION TO EXPERIMENTAL TECHNIQUES1. The luminosity of a colliding beam machine is de ned by N= ; where N interactions occur per second for cross section . For a machine with n1; n2 particles per bunch in the two beams with nB bunches
Fayetteville State University - PHY - 3802
Fayetteville State University - PHY - 3802
percent, since the ratio5/540 reduces to 0.0093 (rounded off) in decimal form.Significant DigitsThe accuracy of a measurement is often described in t e r m s of the number of significant digits used in expressing it. If the digits of a number resu
Fayetteville State University - PHY - 3802
Fayetteville State University - PHY - 3802
Fayetteville State University - PHY - 3802
ELEC 3700 Spring 2001Page 1 of 4Anatomy of a Data Sheet LF155 Series Op-AmpsOverviewThis is a dissection of the data sheet for the LF155 series op-amps. The first four pages of the Dec. 1994 version of this data sheet are published in the text
Fayetteville State University - PHY - 3802
IM.3. The Geiger-Mller Counter1. Purpose: Some measurements in nuclear decay, notions of statistics 2. Apparatus: Scaler-Timer (The Nucleus model 550),Geiger-Mller tube, oscilloscope, radioactive sources.3. Introduction:A typical Geiger-Mller (G
Fayetteville State University - PHY - 3802
IM.1. Franck-Hertz Experiment1. Purpose:Perform the historic Franck-Hertz experiment to demonstrate the existence of discrete energy levels in mercury, and to determine the minimum kinetic energy needed by an electron in order to collide inelastica
Fayetteville State University - PHY - 3802
July 23, 2001Massachusetts Institute of Technology Physics Department8.13/8.14 Junior Physics Laboratory Experiment #7 2001/2002The Franck-Hertz Experiment and the Ramsauer-Townsend EectElastic and Inelastic Scattering of Electrons by AtomsPU
Fayetteville State University - PHY - 3802
The e/m ratioObjective To measure the electronic charge-to-mass ratio e/m, by injecting electrons into a magnetic field and examining their trajectories. We also estimate the magnitude of the earth's magnetic field. Introduction This experiment demo
Fayetteville State University - PHY - 3802
Fayetteville State University - EML - 3015
GROUP 3 ! Human Cooling SystemGroup Members: Brian Hammond Darren Fancher Chris Batsch Charles Coleman04/13/091OverviewDesign Proposal Objective Applications Material Selection & Specifications Similar Products Actual System Design Calculatio
Fayetteville State University - EML - 3016
Basic Fluid Properties and Governing EquationsDensity (): mass per unit volume (kg/m3 or slug/ft3) Specific Volume (v=1/): volume per unit mass Temperature (T): thermodynamic property that measures the molecular activity of an object. It is used to
Fayetteville State University - EML - 3016
Unsteady Heat Transfer in Semi-infinite SolidsSolidification process of the coating layer during a thermal spray operation is an unsteady heat transfer problem. As we discuss earlier, thermal spray process deposits thin layer of coating materials on
Fayetteville State University - EML - 3013
EML 3013 Dynamic Systems I Lab-1 Turn in these problems with your homework set #2Spring 2007Part A. A vehicle is moving along a straight line with its instantaneous velocity recorded in the attached spreadsheet: velocity as a function of time, v=
Fayetteville State University - EML - 3013
EML 3013HW-4Spring 200712185. If the end A of the cable is moving upwards at vA = 14 m/s, determine the speed of block B.12187. The cord is attached to the pin at C and passes over the two pulleys at A and D. The pulley at A is attached to th
Fayetteville State University - EML - 3013
EML 3013 Dynamic Systems I Lab-2 Spring 2007 (Turn in parts 2-A & 2-B next Friday; turn in part 2-C with your lab report-experiment 2) Lab-2A. (also 13-96 from the textbook) The forked rod is used to move the smooth 2-lb particle around the horizonta
Fayetteville State University - EML - 3013
Homework 1 1218. A car is to be hoisted by elevator to the fourth floor of a parking garage, which is 48 ft above the ground. If the elevator can accelerate at 0.6 ft/s2, decelerate at 0.3 ft/s2, and reach a maximum speed of 8 ft/s, determine the sho
Fayetteville State University - EEL - 4746
68HC11 TimerHC11 or HC12: Chapter 10168HC11 Timer Subsystem Several timing functions: Basic timing Real time interrupts Output compare Input capture Computer Operating Properly Pulse Accumulator Pulse Width Modulation Based on a central
Fayetteville State University - EEL - 4746
68HC11 TimerChapter 10168HC11 Timer SubsystemSeveral timing functions: Basic timing Real time interrupts Output compare Input capture Computer Operating Properly Pulse Accumulator Pulse Width Modulation Based on a central timer Overflow
Fayetteville State University - EEL - 4746
Assembler ProgrammingChapter 6EEL-4746 Best PracticesEEL-4746 Best Practices1. All programs must begin with the following comment * * EEL-4746 Spring 2004 Semester * Homework #N Due (Due Date) * Problem #M * Name of Partner A * Name o
Fayetteville State University - EEL - 4746
68HC11 Serial I/OChapter 111Parallel I/OData_in Data_outNExt DeviceReady6811STRBMultiple I/O lines to transfer data from 6811 to Ext Device2Serial I/Oxmit rcvrExt Device6811Minimum of two lines needed to transfer data from 6
Fayetteville State University - EEL - 4746
68HC11 Parallel I/OChapter 7Microcontroller-Based SystemI/O Interface To I/OMemoryCPUBUS CPU: Central Processor Unit Microcontroller I/O: Input/Output e.g. M68HC11 Memory: Program and Data Bus: Address signals, Control signals, and Dat
Fayetteville State University - EEL - 4746
Number SystemsDecimal, Binary, and Hexadecimal1Base-N Number System Base N N Digits: 0, 1, 2, 3, 4, 5, ., N-1 Example: 1045N Positional Number SystemN LN N N N N d n -1 L d 4 d3 d 2 d1 d 0n -143210 Digit do is the least sign
Fayetteville State University - EEL - 4746
EEL 4746L Microprocessor Based System Design Lab Fall 2004Lab #4 InstructionsIn this lab, you will learn how to use THRSIM11 to simulate HC11 programs at home for purposes of homework assignments, projects, and lab assignments, in such a way that
Fayetteville State University - EEL - 4746
Experiment 1 Overview of the CME11E9-EVBU Development board & Familiarization with running simple programsREFERENCES CME11e9-EVBU Development Board Instruction Manual (pdf file at the following link www.axman.com) EQUIPMENT & MATERIALS CME11E9-EVBU
Fayetteville State University - EML - 4536
Beams and Framesbeam theory can be used to solve simple beams x complex beams with many cross section changes are solvable but lengthy x many 2-d and 3-d frame structures are better modeled by beam theoryxOne Dimensional ProblemsThe geometry of
Fayetteville State University - EML - 4536
General Procedure for Finite Element MethodFEM is based on Direct Stiffness approach or Displacement approach. A broad procedural outline is listed below 1. Discretize and select element type.Skeletal structuresSkeletal structure gets discretized
Fayetteville State University - EGM - 5611
EML 5300 CONTINUUM MECHANICS Dr. N. Chandra Fall 1999345 Engineering Building Class Hours: Tuesday, Thursday 8:55 to 10:10 am Phone: 410-6331 Office Hours:Tuesday 2:00 to 4:00 pmCOURSE OBJECTIVE To introduce the concept of the mechanics of defor
Fayetteville State University - EGM - 5611
MOHRS CIRCLE IN THREE DIMENSIONS Consider the state of stress given byT11 T12 T13 o T = T21 T22 T23 T31 T32 T33 {e ,e ,e } o1 o2 o3I II T is symmetric. When we determine the principal value, let T , T and T III be the principal value. Let T
Fayetteville State University - EGM - 5611
EML 5611 CONTINUUM MECHANICS Course Outline 1. Introduction (2 Lectures) Continuum Theory Definition and Ramifications Solids and Fluids General Principles and Field Equations 2. Cartesian Tensor Theory (6 Lectures) Indicial Notation Scalars, Vectors
Fayetteville State University - EGM - 5611
Review to Section 3.12 to 3.17 1. Time rate of change of element is given by the velocity gradient v where the differential is with respect to the spatial coordinate system. This can be decomposed into% where D and respectively.% W are the rate o