Course Hero

Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

37 Pages

numerical_integration_2

Course: PH 4390, Fall 2008
School: Mich Tech
Rating:
 
 
 
 
 

Word Count: 1962

Document Preview

Integration Romberg Numerical Integration cont The two indices within the Romberg scheme describe: the number of segments used m #evaluation points as 2 within the numerical integration the order of combinations of neighboring approximations for the integral Tm, l order of approximation A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU...

Register Now
Search

Unformatted Document Excerpt

Coursehero >> Michigan >> Mich Tech >> PH 4390

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Integration Romberg Numerical Integration cont The two indices within the Romberg scheme describe: the number of segments used m #evaluation points as 2 within the numerical integration the order of combinations of neighboring approximations for the integral Tm, l order of approximation A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.1/13 Numerical Integration Romberg Integration cont T2,0 = h f0 2 + fN 2 +f1 + f2 + f3 h2 /h4 /h6 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T2,0 = h f0 2 + fN 2 +f1 + f2 + f3 h2 /h4 /h6 T3,0 = h 2 f0 2 + fN 2 +f1 + f2 + f3 +f5 + f6 + f7 + f8 h2 h4 h6 4 / 16 / 64 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T2,0 = h f0 2 + fN 2 +f1 + f2 + f3 h2 /h4 /h6 T3,0 = T2,0 2 + h 2 + f5 + f6 +f7 + f8 h2 h4 h6 / / 4 16 64 1.) only a few additional terms ! A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T2,0 = h f0 2 + fN 2 +f1 + f2 + f3 h2 /h4 /h6 T3,0 = T2,0 2 + h 2 + f5 + f6 +f7 + f8 h2 4 h4 h6 / 16 / 64 2.) comparing errors A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T2,0 T3,0 = h2 /h4 /h6 T2,0 2 + h 2 + f5 + f6 +f7 + f8 T4,0 = T3,0 2 h2 4 h4 h6 / 16 / 64 h 4 + + f9 + f10 +f11 + f12 + f13 +f14 + f15 + f16 h2 16 h4 h6 / 256 / 4096 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T3,1 = 4T3,0 T2,0 3 h4 5h6 4 / 16 4T4,0 T3,0 3 h4 5h6 64 / 1024 T4,1 = A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont T4,2 = 16T4,1 T3,1 15 h6 64 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.2/13 Numerical Integration Romberg Integration cont Computing Sequence T2,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T2,0 T3,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T3,1 T2,0 T3,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T3,1 ? T2,0 T3,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T3,1 T2,0 T3,0 T4,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T3,1 T4,1 T2,0 T3,0 T4,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T3,1 T4,1 T2,0 T3,0 T4,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 ? T3,1 T4,1 T2,0 T3,0 T4,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T3,1 T4,1 T2,0 T3,0 T4,0 T5,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 T5,3 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 T5,3 ? A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 T5,3 ? For a given m we can get a number of m 1 improvements starting with 0, the bare numerical integration. A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 T5,3 ? At the endpoint (bottom line, leftmost data point) we have to decide ? whether the remaining error h2m2 4m1 is small enough to abort the series. A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Computing Sequence T4,2 T5,2 T3,1 T4,1 T5,1 T2,0 T3,0 T4,0 T5,0 T5,3 ? If we need to continue, we need to increment the value m do one more integral Tm,0 and derive all other Tm,l values towards the left end by combination with items from the previous line, Tm,l+1 = 4l+1 Tm,l Tm1,l 4l+1 1 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.3/13 Numerical Integration Romberg Integration cont Successive Tm,0 Calculation 1 m=0 Incr = ba 20 f (x0 ) 2 T0,0 = Incr + f (xN ) 2 A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.4/13 Numerical Integration Romberg Integration cont Successive Tm,0 Calculation 2 m=1 Incr = T1,0 = Incr 2 ba 21 i f (xi ) = T0,0 2 + Incr = T0,0 2 Do i = 1, 21 , 2 xi = x0 + (i Incr) + Incr f (xi ) Enddo A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.4/13 Numerical Integration Romberg Integration cont Successive Tm,0 Calculation 3 m=2 Incr = T2,0 = Incr 2 ba (called h in graphical schemes) 22 i f (xi ) = T1,0 2 + Incr = T1,0 2 Do i = 1, 22 , 2 xi = x0 + (i Incr) + Incr f (xi ) Enddo A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.4/13 Numerical Integration Romberg Integration cont Successive Tm,0 Calculation 4 m=3 Incr = T3,0 = Incr 2 ba 23 i f (xi ) = T2,0 2 + Incr = T2,0 2 Do i = 1, 23 , 2 xi = x0 + (i Incr) + Incr f (xi ) Enddo A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.4/13 Numerical Integration Romberg Integration cont Programming scheme for the Romberg integration rule MROMBG INITIALIZE T(), TOL, ERR M=1 CALL ROMBG(T,M,TOL..) ITER(TOL,ERR..) M = M+1 CALL CLCTM0(T,M...) CALL LNFLLT(T,M...) CALC ERR CALL ROMBG(T,M,TOL...) END CLCTM0(T,M,...) END T(M,0) = 0.5 T(M1,0) + PRINT RESULT END ROMBG(T,M,TOL..) IF ( ERR > TOL ) THEN CALL ITER(T,M,TOL..) ELSE DONE END IF END f_i LNFLLT(T,M,...) DO L=0, M1 T(M+1,L) = [C1*T(M,L)T(M1,L)]/C2 ENDDO END F(X) F(X) = SIN(X) END A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.5/13 Numerical Integration Romberg Integration cont Although this Romberg scheme seems to work ne, we need to be careful with special cases. Consider for example A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.6/13 Numerical Integration Romberg Integration cont If we are interested in the integral 1 1 1 x2 dx then we run into troubles when using the Romberg scheme... None of the approximations within the Romberg scheme are converging rapidly. The reason for this can be explained again from looking into the Euler-McClaurin formula. The error is expressed there in terms of derivatives evaluated only at the endpoints ! But exactly at the endpoints the derivatives become innite in this special case ! A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.7/13 Numerical Integration Romberg Integration cont We recognize the problem already in the difference between actual and theoretical error during individual Romberg iterations. A possible cure to such problems can simply be changing to different variables. If we substitute for example, x = cos we obtain a different integral, 1 1 1 x2 dx = 0 sin2 () d which is a perfect task for Romberg integration. A First Course in Computational Physics, PL Vries, Chp 4, ISBN 0-471548689-3 PH4390: Computational Methods in Physics, MTU Fall 2006 p.8/13 Numerical Integration Improper Integrals Integrals of the form 0 f (x) dx are common in physics and called improper integrals. Some...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Mich Tech - PH - 4390
Ordinary Differential EquationsSeveral Dependent VariablesFor solving a second order differential equation we have introduced the step-wise, approach, i.e. in the first step get the first solution which is the first derivative and use this for the
Mich Tech - PH - 4390
Basic UNIX KnowledgeEssential Linux/UNIX commands File Information Gathering cat FILEshows content of FILE but not broken into pages as done by command more. examines FILE if it contains thegrep XXX FILEpattern XXX.checks FILE for what kind of
UVA - ASTR - 130
v 4 # 5 4 # 4 5 # 5 5 !$#"q$C!Df!$`"%k$9Dg"!"u 4 5 DGxC4gfC"gg Ih4kk4~$k4"5!Do"kgp$k#D!D"45!Dl$#"!"$!" | 4 #55 4 5 4 5 9Cu"!D4B$d!"!Df!"l"!9D9x"4Dr"9w"%gj"D s 45 5 # 4 @
North-West Uni. - MMSS - 532
The Effect of Congestion on Flight Delays Experienced by Departing Aircraft at Chicago OHare International Airport and Illustrative Congestion Fees That Could Alleviate the Problemby Tracy Johnson June 6, 2005 Senior Thesis for the Mathematical Met
Mich Tech - GENENG - 1102
UGNX AssembliesPutting it all togetherToday s Todays Objectives Learn what an assembly is and why its it s used To create a simple assembly in a UGNX tutorial Create an assembly with a part modification as HW Reference LMNX Pp. 9-2 thru 9-46
Mich Tech - GENENG - 1102
ENG 1102 Graphics in Engineering (Technical Communication) Design Project g j Sketching Sectional V Views1G:\common\eng1102\1102_200508\01graphics\en2.g08a.sectional_des.sxiSectiona Views* alcutting planecutting plane line2*Bertoline,
Mich Tech - GENENG - 1102
UGNX: Parametric Features1. Capturing Design Intent p g g 2. Modeling for ChangeUGNX: Parametric Features1. Capturing Design Intent p g g 2. Modeling for Change Formulas/Parameter Names Pad Feature Slot Feature Positioning M h d P i i i Methods
North-West Uni. - APA - 522
Monopoly with resaleGiacomo Calzolari* Alessandro Pavan* Abstract This paper examines the intricacies associated with the design of revenue-maximizing mechanisms for a monopolist who expects her buyers to resell. We consider two cases: resale to a t
Mich Tech - ETHICS - 1101
Sustainability in the Communications Industry At a glance, the communications industry seems to be an unlikely place for a company to become active in promoting sustainability, but that is what Verizon Communications has done. In 2002, they were awar
Mich Tech - JH - 1101
ENG1101 Presentations Chemical Engineering I t to Engineering Design Intro tAs a Team Team. Get out a piece of paper For each of the following slides, answer: Wh t was the objective? What th bj ti ? What were the constraints? What do you se
Arizona - CHEM - 044
Arizona - CS - 620
c m#Es c m#Es Ga d ycGysyEd9pGpyp G9pE Ypf 9e9vyeUp a See eyepye jp CChpEjfC #p yyedph ye 9eC%py yyyyCdCpypy
Mich Tech - CE - 4630
FISH PASSAGE DESIGN AT ROAD CULVERTSA design manual for fish passage at road crossingsWashington Department of Fish and Wildlife Habitat and Lands Program Environmental Engineering Division March 3, 1999FISH PASSAGE DESIGN AT ROAD CULVERTSINTR
Mich Tech - CE - 5403
Lecture 16PERFORMANCE MODELSInstructional Objectives Understand use of performance models Identify common modeling approaches Understand methods for evaluating reliability Describe requirements for updating modelsOverview Serviceability-pe
Mich Tech - CE - 5403
Lecture1L 12 LecturePAVEMENT CONDITION INDICESInstructional ObjectivessHistoric development of pavement condition indices The basic functions of condition indices in PMS Different types of condition indices Development of a pavement condition
Mich Tech - CE - 4501
CE4501 Environmental Engineering Chemical Processes Problem Set 2 Fall 2008 Due: Friday, 10/3 by 5 p.m. Solutions will be posted on the Web. Problem sets will be graded for completeness, and one problem (selected at random) will be graded in detail.
Mich Tech - CE - 4501
CE4501 Environmental Engineering Chemical Processes Problem Set 3 - SOLUTION Fall 2008 Due: Monday, 10/13 by 5 p.m. DO 10 OF THE 12 PROBLEMS. Solutions will be posted on the Web. Problem sets will be graded for completeness, and one problem (selected
Mich Tech - CE - 4501
Fall 2008 CE4501. Environmental Chemical Processes LaboratoryThe laboratory section of this course has specific objectives that are distinct from the lecture/recitation part of the course. Nonetheless, the two are closely synchronized, and activitie
Mich Tech - CE - 3502
CE3502, EMMA Project Guidelines and List of Potential Projects Objectives 1. To plan the gathering of data suitable for evaluation of a hypothesis; 2. To use statistical analyses to evaluate a hypothesis; 3. To learn about environmental conditions; 4
Mich Tech - CE - 3502
NAME _ CE3502 Environmental Measurements, Monitoring & Data Analysis Spring 2009 Midterm Section 1. True or False Questions (2 pts each) 1. For any list of numbers, half of them will be below the mean. True _ False _X__ 2. The sample mean is always t
Mich Tech - CE - 5666
Sustainability Criteria for Water Resource SystemsCE5666 Water Resources Planning and Management October 23, 2006Prepared byTask Committee on Sustainability Criteria, Water Resources Planning and Management Division, ASCE Working Group of UNESCO/
Mich Tech - CE - 4620
Dynamic Wave EquationsUnsteady Flow Modeling with HEC-RASCE 5666 Fall 2006 ContinuityA V y y + VB + B = q x x twhere A = cross sectional area V = average velocity x = distance along channel y = depth t = time q = lateral inflow S f = friction slo
Mich Tech - CE - 3600
CE 3600Sample ExamName: _2 hours Closed book, closed notes, 1 crib sheet allowed READ THE ENTIRE QUESTION CAREFULLY. DEVELOP A SOLUTION STRATEGY. WRITE CLEARLY. STATE ANY ASSUMPTIONS YOU FEEL ARE NECESSARY. SHOW ALL WORK. REFERENCE ALL VALUES O
Mich Tech - FW - 5115
Peatland RestorationDifferent types of peatlandsBogs-Poor Fens acid peat deposits with no to little significant inflow and outflow of surface or ground waterFens Open peatland systems significant drainage from surrounding mineral soils and grou
Mich Tech - FW - 4260
FW4260 Population Ecology Problem Set #2 Logistic Growth1.Comparing exponential and logistic growth models. Construct two 50-year data sets each with a starting population size of 5 individuals and a population growth rate r = 0.1. One data set sho
Mich Tech - CHEMISTRY - 2421
IDENTIFICATION OF AN ALCOHOL OR CARBONYL COMPOUND BY MEANS OF THREE REAGENTS (12/12/2004)The reactions of alcohols, aldehydes, and ketones with the reagents, chromic acid in acetone, 2,4-dinitrophenylhydrazine, and sodium hypoiodite, are useful for
Mich Tech - CHEMISTRY - 2421
QUALITATIVE TESTS FOR IDENTIFICATION OF CARBON-CARBON UNSATURATION AND ALCOHOL FUNCTIONS (Rev'd 12/12/2004)In this experiment we will examine two reagents (bromine in carbon tetrachloride and aqueous potassium permanganate) which are widely used fo
Mich Tech - CHEMISTRY - 2421
II. CLASSIFICATION TESTSA. CHROMIC ACID TEST Unknown alcohol, aldehyde, or ketone (1 drop of liquid, 10mg of solid) Acetone, Reagent grade (1mL) Chromic Acid (1 drop)1. Dissolve 1 drop of liquid alcohol, aldehyde, or ketone unknown in 1mL of r
Mich Tech - CHEMISTRY - 2411
COLUMN CHROMATOGRAPHY: SEPARATION OF A MIXTURE OF FLUORENE AND FLUORENONE (7/20/04)We have already seen how mixtures of compounds may be separated by thin-layer chromatography (TLC). However, TLC works only on a very small (milligram) scale. When l
Mich Tech - CHEMISTRY - 2421
GRIGNARD REACTION: PREPARATION OF TRIPHENYLMETHANOL (12/12/2004)Grignard reagents are among the most versatile organometallic reagents, and they are the easiest organometallic reagent to prepare. Grignard reagents may be readily prepared from alkyl
Mich Tech - CHEMISTRY - 2411
Fractional Distillation of an Ethyl Acetate - Butyl Acetate Mixture with Gas Chromatography Analysis (05/30/08)We have seen in previous experiments how acid-base extraction, recrystallization, column chromatography, and thin-layer chromatography ca
Mich Tech - CHEMISTRY - 2421
IDENTIFICATION OF AN ALCOHOL OR CARBONYL COMPOUND BY MEANS OF THREE REAGENTS (12/12/2004)The reactions of alcohols, aldehydes, and ketones with the reagents, chromic acid in acetone, 2,4-dinitrophenylhydrazine, and sodium hypoiodite, are useful for
Mich Tech - CE - 5403
CE 5403Assignment 2Develop an inventory form that you can use when you collect the data for the condition assessment and evaluation required as part of a typical PMS. The basic data should fit on one page but may include supplement data to make t
Arizona - AZ - 1331
Particle Film Technologies: Pest Management and Yield Enhancement Qualities in Lemons1David L. Kerns and Glenn C. WrightAbstractSurround WP and Snow were evaluated for their ability to manage citrus thrips populations in lemons on the Yuma Mesa,
Mich Tech - CE - 3600
CE 3600 100 ptsExample First ExamName (1 pt): _READ THE ENTIRE QUESTION CAREFULLY. DEVELOP A SOLUTION STRATEGY. WRITE CLEARLY. STATE ANY ASSUMPTIONS YOU FEEL ARE NECESSARY. SHOW ALL WORK. Mercury has a specific gravity of 13.56 with respect to
Mich Tech - CE - 3600
CE 3600 100 pts 1. (8 pts)Example First ExamName (1 pt): _Solution_Mercury has a specific gravity of 13.56 with respect to water ( = 1000 kg/m3). What is the specific weight of mercury? Express answer in the proper units.2. (16 pts) A flat pl
Mich Tech - MEEM - 5408
II.2.Data Primitives and operators Certain fundamental data types and corresponding operators are built into the C/C+ language:1. IntegersBefore a variable can be used, it must be declared. That is, the type and name of the variable must be spec
Mich Tech - CS - 6461
An Architecture for Privacy-Sensitive Ubiquitous ComputingJason I. HongGroup for User Interface Research Computer Science Division University of California at Berkeley Berkeley, CA, 94720-1776 USAJames A. LandayDUB Group Computer Science and Eng
Mich Tech - CS - 6461
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, VOL. 22, NO. 1, JANUARY 20041Guest Editorial Recent Advances in Service Overlay NetworksI. SERVICE OVERLAY NETWORKSTHE best effort Internet was designed when host connectivity was the primary
Mich Tech - FW - 5411
FW5411 Applied Regression Analysis03/18/2009Assignment #4 Adequacy and TransformationsIntroduction: Tent caterpillars are a native insect to North America. Populations of tent caterpillar fluctuate, with outbreaks every few years. During outbr
Mich Tech - FW - 3200
Mich Tech - FW - 3200
FW3200 Inventory, Monitoring and Data Analysis03-16-2009Homework No. 7 Stand InventoryStand Level Structure SummariesTimber and non-timber resource values are related to stand structure. Clearly, the value of a stand for timber products is re
Mich Tech - FW - 3200
FW3200 Inventory, Monitoring and Data Analysis01-26-2009Homework No. 2 Basic Statistics by SimulationObjectives:In this assignment we will work with a population that follows the continuous uniform distribution on the interval {0,1}. The obje
Mich Tech - FW - 3200
Mich Tech - EE - 3306
users_guide_33250a.book Page 1 Monday, April 10, 2000 9:09 AMUsers GuidePublication Number 33250-90001 April 2000 Copyright Agilent Technologies 2000 All Rights Reserved.Agilent 33250A 80 MHz Function / Arbitrary Waveform Generatorusers_gui
UVA - ANTH - 589
Spatial Data Analysis in ArchaeologyAnthropology 589b Fraser D. Neiman 2.05.07 University of Virginia Spring 2007Problem Set 2: More Correlograms and VariogramsThe Problem Archaeologists have long used temporal and spatial variation in Maya termi
UVA - POWERPOINT - 345
Major Tropes in English LiteratureJnanam MacIsaac Section 4Metaphor Trope of Similarity One domain of meaning to another Making the dissimilar into the similar Masters of Metaphor: Shakespeare, Geoffrey ChaucerIrony Tone and the Contradic
UVA - POWERPOINT - 345
Plate TectonicsYates Hall IV 15-November-99 Section Math & SciencePlate Tectonics The theory that explains how slow motions within the mantle of the Earth move large segments of the crust, resulting in gradual drifting of the continents as well a
UVA - POWERPOINT - 345
World War I: The Great WarDan EllisBefore the WarShift in the Balance of Power, 1871 German AspirationsEuropean OverseasTreaty systemUnlikely PartnersBalkan troubles, 1905 & 1911Summer of TroublesBalkans 1914 Austria-Hungarian Reactions
UVA - WEB - 546
UVA - WEB - 546
UVA - WEB - 546
UVA - WEB - 546
UVA - WEB - 546
Mich Tech - GE - 3250
Computational Geosciences Week 01 Excel basics Homework 01 Background The island of Stromboli, in the Mediterranean sea north of Sicily, comprises an active volcano (with active vents at 900 m elevation) with a town of several hundred people (severa
Mich Tech - GE - 3250
IDEast-WestNorth-SouthDepth, ft13.7004554.95948-494724.5119755.94062-4910319.1582154.51911-4148418.6911755.02671-4174516.2915157.13354-4179617.3703759.33444-4014712.1401559.53669-4411813.2783362.4611-4180915.51319
Mich Tech - SAT - 3820
Security Analysis and Improvements for IEEE 802.11iChanghua He John C MitchellElectrical Engineering and Computer Science Departments Stanford University, Stanford CA 94305 AbstractThis paper analyzes the IEEE 802.11i wireless networking standard
Mich Tech - ECE - 3140
Notes on the FCCs 700 MHz Auction for EE 3140 Professor MeyerBackgroundWith digital TV gaining ubiquity, broadcasters are slowly moving away from the old analog channels of 5090 or so, which occupy about 700900 MHz of the wireless spectrum. When t
Arizona - SCHEDULE - 091
Crs. #(units) Call # Sec #Course/Section Title Time DaysInstructor Bldg. Room #Crs. #(units) Call # Sec #Course/Section Title Time DaysInstructor Bldg. Room # BOESENPHARMACY PRACTICE (PHPR)Dr. Marie Chisholm, Head, Drachman B2011D, 6
Mich Tech - EE - 5223
FEATUREARTICLEA Review of Faults Detectable by Gas-in-Oil Analysis in TransformersKey Words: Transformer, fault, dissolved gas analysisEC Publication 60599 [1] provides a coded list of faults detectable by dissolved gas
Mich Tech - CE - 5666
Case Study 1: A Dual Discharge Strategy for a Major Municipal Wastewater EffluentWater Quality Management ModelingCE 5666 Water Resources Planning & ManagementDepartment of Civil and Environmental Engineering Michigan Technological UniversityDa