Simulated Radioactive Decay Using Dice Nuclei

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Simulated Radioactive Decay Using Dice Nuclei"

Transcription

1 Purpos: In a radioactiv sourc containing a vry larg numbr of radioactiv nucli, it is not possibl to prdict whn any on of th nucli will dcay. Although th dcay tim for any on particular nuclus cannot b prdictd, th avrag rat of dcay of a larg sampl of radioactiv nucli is highly prdictabl. This laboratory uss 2-sidd dic to simulat th dcay of radioactiv nucli. Whn a 1 or a 2 is facing up aftr a throw of th dic, it rprsnts a dcay of that nuclus. Masurmnts on a collction of ths dic will b usd to accomplish th following objctivs: 1. Dmonstration of th analogy btwn th dcay of radioactiv nucli and th dcay of dic nucli 2. Dmonstration that both th numbr of nucli not yt dcayd (N) and th rat of dcay (dn/dt) both dcras xponntially 3. Dtrmination of xprimntal and thortical valus of th dcay probability constant λ for th dic nucli 4. Dtrmination of th xprimntal and thortical valus for th half-lif of th dic nucli Equipmnt: 2-sidd dic Thory: On of th most noticabl diffrncs btwn classical physics known prior to 19 and modrn physics sinc that tim is th incrasd rol that probability plays in modrn physical thoris. Th xact bhavior of many physical systms cannot b prdictd in advanc. On th othr hand, thr ar som systms that involv a vry larg numbr of possibl vnt, ach of which is not prdictabl; and yt, th bhavior of th systm as a whol is quit prdictabl. On xampl of such a systm is a collction of radioactiv nucli that mit α-, β-, or γ-radiation. It is not possibl to prdict whn any on radioactiv nuclus will dcay and mit a particl. Howvr, sinc any rasonabl sampl of radioactiv matrial contains a larg numbr of nucli (say at last 1 12 nucli), it is possibl to prdict th avrag rat of dcay with high probability. A basic concpt of radioactiv dcay is that th probability of dcay for ach typ of radioactiv nuclid is constant. In othr words, thr ar a prdictabl numbr of dcays pr scond vn though it is not possibl to prdict which nucli among th sampl will dcay. A quantity calld th dcay constant, or λ, charactrizs this concpt. It is th probability of dcay pr unit tim for on radioactiv nuclus. Th fundamntal concpt is that bcaus λ is constant, it is possibl to prdict th rat of dcay for a radioactiv sampl. Th valu of th constant λ is, of cours, diffrnt for ach radioactiv nuclid. Considr a sampl of N radioactiv nucli with a dcay constant of λ. Th rat of dcay of ths nucli dn dt is rlatd to λ and N by th quation 1 of 7

2 dn dt = λn Eq. 1 Th symbol dn dt stands for th rat of chang of N with tim t. Th minus sign in th quation mans that dn dt must b ngativ bcaus th numbr of radioactiv nucli is dcrasing. Th numbr of radioactiv nucli at tim t = is dsignatd as N. Th qustion of intrst is how many radioactiv nucli N ar lft at som latr tim t. Th answr to that qustion is found by rarranging Eq. 1 and intgrating it subjct to th condition that N = N at t =. Th rsult of that procdur is N = N Eq. 2 Equation 2 stats that th numbr of nucli N at som latr tim t dcrass xponntially from th original numbr N that ar prsnt. A scond qustion of intrst is th valu of th rat of dcay dn dt of th radioactiv sampl. That can b found by substituting th xprssion for N from Eq. 2 back into Eq. 1. Th rsult is Furthrmor, th xprssion for lading to dn dt = λn Eq. 3 dn dt in Eq. 1 can thn b substitutd into Eq. 3, λn = λn Eq. 4 Th quantity λn is th activity of th radioactiv sampl. Sinc λ is th probability of dcay for on nuclus, th quantity λn is th numbr of dcays pr unit tim for N nucli. Typically, λ is xprssd as th probability of dcay pr scond; so in that cas, λn is th numbr of dcays pr scond from a sampl of N nucli. Th symbol A is usd for activity ( A = λn ); thus, Eq. 4 bcoms: A = A Eq. 5 Equations 2 and 5 thus stat that both th numbr of nucli N and th activity A dcay xponntially according to th sam xponntial factor. For masurmnts mad on ral radioactiv nucli, th activity A is th quantity that is usually masurd. An important concpt associatd with radioactiv dcay procsss is th concpt of half-lif. Th tim for th sampl to go from th initial numbr of nucli N to half that valu N 2 is dfind as th half-lif t ½. If Eq. 2 is solvd for th tim t whn N = 2 th rsult is N ln(2) = λ 1 2 =.693 λ t Eq. 6 This sam rsult could also b obtaind by considring th tim for th activity to go from A to A 2. Figur 1 shows graphs of activity of a radioactiv sampl vrsus tim. Figur 1(a) shows a smi-log graph with th activity scal logarithmic and th tim scal linar. Th tim scal is simply markd in units of th half-lif. Not that th graph is linar on this 2 of 7

3 smi-log plot. Th half-lif is th tim to go from any givn valu of activity to half that activity. Figur 1(b) shows th shap of th activity vrsus tim graph if linar scals ar chosn for both quantitis. Th laboratory xrcis to b prformd dos not involv th dcay of ral radioactiv nucli. Instad, it is dsignd to illustrat th concpts dscribd abov by a simulatd dcay of dic nucli. In th xrcis, radioactiv nucli ar simulatd by a collction of 2-sidd dic. Th dic ar shakn and thrown, and a dic nucli has dcayd if ithr a 1 or a 2 is fac-up aftr th throw. In this simulation, th dcay constant λ is qual to th probability of 2 out of 2 of a particular fac coming up. Thus, th thortical dcay constant λ is.1. A uniqu aspct of this simulation xprimnt is that masurmnts can b takn on both th rmaining numbr N and th numbr that dcay. Th numbr that dcay is analogous to th activity A. For ral radioactiv nucli, N cannot b masurd dirctly but is infrrd from masurmnts of th activity Activity (counts/s) Activity (counts/s) t ½ 2 t ½ t ½ 2 t ½ Tim Tim Figur 1 Graph of activity vrsus tim on smilog and on linar scals. Exprimnt: 1. Dpnding on how many dic thr ar, ach di may rprsnt 5 or mor nucli. Each tim intrval may hav svral rounds of rolling th dic to crat a larg nough sampl of nucli. You will nd to kp carful track of how many dic dcay in ach round, and b sur to xclud that numbr from th nxt tim intrval. Your instructor will tll you how many nucli to start with. You will dtrmin how many rounds you nd to rach that numbr. 3 of 7

4 Exampl: You instructor tlls you that your radioactiv sampl contains 5 nucli. You count your dic and find thr ar 5. This mans you will roll all 5 dic in 1 rounds to simulat 5 nucli. 2. Plac all of th dic in a cardboard box or othr containr. Shak th dic and gntly pour thm out onto th tabl (or into a largr box). Count and rcord how many dic show a 1 or a 2 on thir top-most fac (this rcord kping may b don on scratch papr and dos not nd to b includd with your final rport, unlss your instructor dircts you othrwis). Whn all th rounds ar thrown, count and rcord th total numbr of dcayd nucli, and how many nucli ar lft. Dtrmin how many rounds will b thrown in th nxt tim intrval, and whthr any rounds will contain fwr than th total numbr of dic. Exampl: You throw tn rounds of 5 dic ach, and find th following numbr dcay in ach round: Round Numbr of Dcays A total of 52 dic dcayd in that tim intrval. Thus, in th nxt tim intrval you start out with 5 52 = 448 dic. You will throw 8 rounds of 5 dic, and on round of 48 dic. 3. Rpat this procss until you hav fwr than 5 dic rmaining for th tim intrval. If you wish, you may go until you hav zro dic rmaining, but this may tak a whil! Analysis: 1. Entr your data into an Excl spradsht. You should hav two columns: Activity (numbr of dcays), and N (numbr at th bginning of ach throw) 2. Plot N on both a Cartsian and a smi-log graph. 3. Plot Activity on both a Cartsian and a smi-log graph. 4. Calculat th ratio of th numbr of dic rmovd (activity) aftr a givn throw to th numbr shakn for that throw. Ths ratios will giv an xprimntal valu for th dcay rat, λ. Not that numbr shakn is not th sam as th numbr lft aftr th throw it is th numbr lft aftr th prvious throw. 4 of 7

5 5. Calculat th avrag of ths valus, and rcord it as λ xp. 6. Th thortical valu of λ is.1. Calculat th prcnt rror in th valu of λ xp as compard to λ tho. 7. If you hav not don so alrady, activat on of th plots of N vs. throw, and click on Chart > Add Trndlin. Choos an xponntial trndlin, and undr Options, choos Display quation on chart. Compar th valu of λ rturnd by Excl to your calculatd valu of λ xp. 8. Calculat th thortical half-lif from Eq. 6, using th valu of λ =.1. Rcord that valu as (t 1/2 ) tho. For th purposs of this calculation, assum that a fractional throw is possibl. 9. From th xponntial curv of N vs. throw, dtrmin th numbr of throws ndd to go from N to ½ N. Rcord that numbr as (t 1/2 ) xp. For purposs of this dtrmination, considr a fractional throw as possibl. 1. Calculat th prcntag rror in th valu (t 1/2 ) xp compard to th valu of (t 1/2 ) tho. Rcord that prcntag rror. 11. Optional (possibl Extra Crdit? Ask your instructor!): Writ an Excl program that simulats this xprimnt. Start with th sam N, and th sam dcay constant, λ. But notic for som of th throws A was gratr than λn, and for som throws A was lss than λn. You will nd to figur out how to mak your program do this. Graph th rsults, and insrt a trndlin. Notic how th curv fit changs with ach itration of th simulation. Chang N what happns to th rturnd valu of λ as N gts largr or smallr? Your instructor may laborat on ths instructions. Rsults: Writ at last on paragraph dscribing th following: what you xpctd to larn about th lab (i.. what was th rason for conducting th xprimnt?) your rsults, and what you larnd from thm Think of at last on othr xprimnt might you prform to vrify ths rsults Think of at last on nw qustion or problm that could b answrd with th physics you hav larnd in this laboratory, or b xtrapolatd from th idas in this laboratory. 5 of 7

6 Clan-Up: Bfor you can lav th classroom, you must clan up your quipmnt, and hav your instructor sign blow. How you divid clan-up dutis btwn lab mmbrs is up to you. Clan-up involvs: Compltly dismantling th xprimntal stup Rmoving tap from anything you put tap on Drying-off any wt quipmnt Putting away quipmnt in propr boxs (if applicabl) Rturning quipmnt to propr cabints, or to th cart at th front of th room Throwing away pics of string, papr, and othr dtritus (i.. your watr bottls) Shutting down th computr Anything ls that nds to b don to rturn th room to its pristin, pr lab form. I crtify that th quipmnt usd by has bn cland up. (studnt s nam),. (instructor s nam) (dat) 6 of 7

7 Pr-Lab Assignmnt Rad th xprimnt and answr th following qustions bfor coming to class on lab day. 1. A typical sampl of radioactiv matrial would contain as a lowr limit approximatly how many nucli? (a) 1, (b) 1 6, (c) 1 12, or (d) Th thory of radioactiv dcay can prdict whn ach of th radioactiv nucli in a sampl will dcay. (a) tru (b) fals 3. Stat th dfinition of th dcay constant l. What ar its units? A radioactiv dcay procss has a dcay constant λ = s. Thr ar radioactiv nucli in th sampl at t =. How many radioactiv nucli ar prsnt in th sampl 1 hour latr? Show your work. 5. For th radioactiv sampl dscribd in qustion 4, what is th activity A (in dcays pr scond) at t =? What is th activity 1 hour latr? Show your work. 7 of 7

Non-Homogeneous Systems, Euler s Method, and Exponential Matrix

Non-Homogeneous Systems, Euler s Method, and Exponential Matrix Non-Homognous Systms, Eulr s Mthod, and Exponntial Matrix W carry on nonhomognous first-ordr linar systm of diffrntial quations. W will show how Eulr s mthod gnralizs to systms, giving us a numrical approach

More information

Econ 371: Answer Key for Problem Set 1 (Chapter 12-13)

Econ 371: Answer Key for Problem Set 1 (Chapter 12-13) con 37: Answr Ky for Problm St (Chaptr 2-3) Instructor: Kanda Naknoi Sptmbr 4, 2005. (2 points) Is it possibl for a country to hav a currnt account dficit at th sam tim and has a surplus in its balanc

More information

Question 3: How do you find the relative extrema of a function?

Question 3: How do you find the relative extrema of a function? ustion 3: How do you find th rlativ trma of a function? Th stratgy for tracking th sign of th drivativ is usful for mor than dtrmining whr a function is incrasing or dcrasing. It is also usful for locating

More information

The example is taken from Sect. 1.2 of Vol. 1 of the CPN book.

The example is taken from Sect. 1.2 of Vol. 1 of the CPN book. Rsourc Allocation Abstract This is a small toy xampl which is wll-suitd as a first introduction to Cnts. Th CN modl is dscribd in grat dtail, xplaining th basic concpts of C-nts. Hnc, it can b rad by popl

More information

The Matrix Exponential

The Matrix Exponential Th Matrix Exponntial (with xrciss) 92.222 - Linar Algbra II - Spring 2006 by D. Klain prliminary vrsion Corrctions and commnts ar wlcom! Th Matrix Exponntial For ach n n complx matrix A, dfin th xponntial

More information

CPS 220 Theory of Computation REGULAR LANGUAGES. Regular expressions

CPS 220 Theory of Computation REGULAR LANGUAGES. Regular expressions CPS 22 Thory of Computation REGULAR LANGUAGES Rgular xprssions Lik mathmatical xprssion (5+3) * 4. Rgular xprssion ar built using rgular oprations. (By th way, rgular xprssions show up in various languags:

More information

by John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia

by John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia Studnt Nots Cost Volum Profit Analysis by John Donald, Lcturr, School of Accounting, Economics and Financ, Dakin Univrsity, Australia As mntiond in th last st of Studnt Nots, th ability to catgoris costs

More information

Principles of Humidity Dalton s law

Principles of Humidity Dalton s law Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid

More information

QUANTITATIVE METHODS CLASSES WEEK SEVEN

QUANTITATIVE METHODS CLASSES WEEK SEVEN QUANTITATIVE METHODS CLASSES WEEK SEVEN Th rgrssion modls studid in prvious classs assum that th rspons variabl is quantitativ. Oftn, howvr, w wish to study social procsss that lad to two diffrnt outcoms.

More information

Lecture 3: Diffusion: Fick s first law

Lecture 3: Diffusion: Fick s first law Lctur 3: Diffusion: Fick s first law Today s topics What is diffusion? What drivs diffusion to occur? Undrstand why diffusion can surprisingly occur against th concntration gradint? Larn how to dduc th

More information

The Normal Distribution: A derivation from basic principles

The Normal Distribution: A derivation from basic principles Th Normal Distribution: A drivation from basic principls Introduction Dan Tagu Th North Carolina School of Scinc and Mathmatics Studnts in lmntary calculus, statistics, and finit mathmatics classs oftn

More information

Section 7.4: Exponential Growth and Decay

Section 7.4: Exponential Growth and Decay 1 Sction 7.4: Exponntial Growth and Dcay Practic HW from Stwart Txtbook (not to hand in) p. 532 # 1-17 odd In th nxt two ction, w xamin how population growth can b modld uing diffrntial quation. W tart

More information

7 Timetable test 1 The Combing Chart

7 Timetable test 1 The Combing Chart 7 Timtabl tst 1 Th Combing Chart 7.1 Introduction 7.2 Tachr tams two workd xampls 7.3 Th Principl of Compatibility 7.4 Choosing tachr tams workd xampl 7.5 Ruls for drawing a Combing Chart 7.6 Th Combing

More information

SUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT. Eduard N. Klenov* Rostov-on-Don. Russia

SUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT. Eduard N. Klenov* Rostov-on-Don. Russia SUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT Eduard N. Klnov* Rostov-on-Don. Russia Th distribution law for th valus of pairs of th consrvd additiv quantum numbrs

More information

5 2 index. e e. Prime numbers. Prime factors and factor trees. Powers. worked example 10. base. power

5 2 index. e e. Prime numbers. Prime factors and factor trees. Powers. worked example 10. base. power Prim numbrs W giv spcial nams to numbrs dpnding on how many factors thy hav. A prim numbr has xactly two factors: itslf and 1. A composit numbr has mor than two factors. 1 is a spcial numbr nithr prim

More information

http://www.wwnorton.com/chemistry/tutorials/ch14.htm Repulsive Force

http://www.wwnorton.com/chemistry/tutorials/ch14.htm Repulsive Force ctivation nrgis http://www.wwnorton.com/chmistry/tutorials/ch14.htm (back to collision thory...) Potntial and Kintic nrgy during a collision + + ngativly chargd lctron cloud Rpulsiv Forc ngativly chargd

More information

Factorials! Stirling s formula

Factorials! Stirling s formula Author s not: This articl may us idas you havn t larnd yt, and might sm ovrly complicatd. It is not. Undrstanding Stirling s formula is not for th faint of hart, and rquirs concntrating on a sustaind mathmatical

More information

AP Calculus AB 2008 Scoring Guidelines

AP Calculus AB 2008 Scoring Guidelines AP Calculus AB 8 Scoring Guidlins Th Collg Board: Conncting Studnts to Collg Succss Th Collg Board is a not-for-profit mmbrship association whos mission is to connct studnts to collg succss and opportunity.

More information

FACULTY SALARIES FALL 2004. NKU CUPA Data Compared To Published National Data

FACULTY SALARIES FALL 2004. NKU CUPA Data Compared To Published National Data FACULTY SALARIES FALL 2004 NKU CUPA Data Compard To Publishd National Data May 2005 Fall 2004 NKU Faculty Salaris Compard To Fall 2004 Publishd CUPA Data In th fall 2004 Northrn Kntucky Univrsity was among

More information

Free ACA SOLUTION (IRS 1094&1095 Reporting)

Free ACA SOLUTION (IRS 1094&1095 Reporting) Fr ACA SOLUTION (IRS 1094&1095 Rporting) Th Insuranc Exchang (301) 279-1062 ACA Srvics Transmit IRS Form 1094 -C for mployrs Print & mail IRS Form 1095-C to mploys HR Assist 360 will gnrat th 1095 s for

More information

New Basis Functions. Section 8. Complex Fourier Series

New Basis Functions. Section 8. Complex Fourier Series Nw Basis Functions Sction 8 Complx Fourir Sris Th complx Fourir sris is prsntd first with priod 2, thn with gnral priod. Th connction with th ral-valud Fourir sris is xplaind and formula ar givn for convrting

More information

Adverse Selection and Moral Hazard in a Model With 2 States of the World

Adverse Selection and Moral Hazard in a Model With 2 States of the World Advrs Slction and Moral Hazard in a Modl With 2 Stats of th World A modl of a risky situation with two discrt stats of th world has th advantag that it can b natly rprsntd using indiffrnc curv diagrams,

More information

SPECIAL VOWEL SOUNDS

SPECIAL VOWEL SOUNDS SPECIAL VOWEL SOUNDS Plas consult th appropriat supplmnt for th corrsponding computr softwar lsson. Rfr to th 42 Sounds Postr for ach of th Spcial Vowl Sounds. TEACHER INFORMATION: Spcial Vowl Sounds (SVS)

More information

Basis risk. When speaking about forward or futures contracts, basis risk is the market

Basis risk. When speaking about forward or futures contracts, basis risk is the market Basis risk Whn spaking about forward or futurs contracts, basis risk is th markt risk mismatch btwn a position in th spot asst and th corrsponding futurs contract. Mor broadly spaking, basis risk (also

More information

Traffic Flow Analysis (2)

Traffic Flow Analysis (2) Traffic Flow Analysis () Statistical Proprtis. Flow rat distributions. Hadway distributions. Spd distributions by Dr. Gang-Ln Chang, Profssor Dirctor of Traffic safty and Oprations Lab. Univrsity of Maryland,

More information

A Note on Approximating. the Normal Distribution Function

A Note on Approximating. the Normal Distribution Function Applid Mathmatical Scincs, Vol, 00, no 9, 45-49 A Not on Approimating th Normal Distribution Function K M Aludaat and M T Alodat Dpartmnt of Statistics Yarmouk Univrsity, Jordan Aludaatkm@hotmailcom and

More information

Improving Managerial Accounting and Calculation of Labor Costs in the Context of Using Standard Cost

Improving Managerial Accounting and Calculation of Labor Costs in the Context of Using Standard Cost Economy Transdisciplinarity Cognition www.ugb.ro/tc Vol. 16, Issu 1/2013 50-54 Improving Managrial Accounting and Calculation of Labor Costs in th Contxt of Using Standard Cost Lucian OCNEANU, Constantin

More information

Statistical Machine Translation

Statistical Machine Translation Statistical Machin Translation Sophi Arnoult, Gidon Mailltt d Buy Wnnigr and Andra Schuch Dcmbr 7, 2010 1 Introduction All th IBM modls, and Statistical Machin Translation (SMT) in gnral, modl th problm

More information

Modern Portfolio Theory (MPT) Statistics

Modern Portfolio Theory (MPT) Statistics Modrn Portfolio Thory (MPT) Statistics Morningstar Mthodology Papr May 9, 009 009 Morningstar, Inc. All rights rsrvd. Th information in this documnt is th proprty of Morningstar, Inc. Rproduction or transcription

More information

Intermediate Macroeconomic Theory / Macroeconomic Analysis (ECON 3560/5040) Final Exam (Answers)

Intermediate Macroeconomic Theory / Macroeconomic Analysis (ECON 3560/5040) Final Exam (Answers) Intrmdiat Macroconomic Thory / Macroconomic Analysis (ECON 3560/5040) Final Exam (Answrs) Part A (5 points) Stat whthr you think ach of th following qustions is tru (T), fals (F), or uncrtain (U) and brifly

More information

Incomplete 2-Port Vector Network Analyzer Calibration Methods

Incomplete 2-Port Vector Network Analyzer Calibration Methods Incomplt -Port Vctor Ntwork nalyzr Calibration Mthods. Hnz, N. Tmpon, G. Monastrios, H. ilva 4 RF Mtrology Laboratory Instituto Nacional d Tcnología Industrial (INTI) Bunos irs, rgntina ahnz@inti.gov.ar

More information

Foreign Exchange Markets and Exchange Rates

Foreign Exchange Markets and Exchange Rates Microconomics Topic 1: Explain why xchang rats indicat th pric of intrnational currncis and how xchang rats ar dtrmind by supply and dmand for currncis in intrnational markts. Rfrnc: Grgory Mankiw s Principls

More information

Long run: Law of one price Purchasing Power Parity. Short run: Market for foreign exchange Factors affecting the market for foreign exchange

Long run: Law of one price Purchasing Power Parity. Short run: Market for foreign exchange Factors affecting the market for foreign exchange Lctur 6: Th Forign xchang Markt xchang Rats in th long run CON 34 Mony and Banking Profssor Yamin Ahmad xchang Rats in th Short Run Intrst Parity Big Concpts Long run: Law of on pric Purchasing Powr Parity

More information

Version 1.0. General Certificate of Education (A-level) January 2012. Mathematics MPC3. (Specification 6360) Pure Core 3. Final.

Version 1.0. General Certificate of Education (A-level) January 2012. Mathematics MPC3. (Specification 6360) Pure Core 3. Final. Vrsion.0 Gnral Crtificat of Education (A-lvl) January 0 Mathmatics MPC (Spcification 660) Pur Cor Final Mark Schm Mark schms ar prpard by th Principal Eaminr and considrd, togthr with th rlvant qustions,

More information

Continuity Cloud Virtual Firewall Guide

Continuity Cloud Virtual Firewall Guide Cloud Virtual Firwall Guid uh6 Vrsion 1.0 Octobr 2015 Foldr BDR Guid for Vam Pag 1 of 36 Cloud Virtual Firwall Guid CONTENTS INTRODUCTION... 3 ACCESSING THE VIRTUAL FIREWALL... 4 HYPER-V/VIRTUALBOX CONTINUITY

More information

Financial Mathematics

Financial Mathematics Financial Mathatics A ractical Guid for Actuaris and othr Businss rofssionals B Chris Ruckan, FSA & Jo Francis, FSA, CFA ublishd b B rofssional Education Solutions to practic qustions Chaptr 7 Solution

More information

Remember you can apply online. It s quick and easy. Go to www.gov.uk/advancedlearningloans. Title. Forename(s) Surname. Sex. Male Date of birth D

Remember you can apply online. It s quick and easy. Go to www.gov.uk/advancedlearningloans. Title. Forename(s) Surname. Sex. Male Date of birth D 24+ Advancd Larning Loan Application form Rmmbr you can apply onlin. It s quick and asy. Go to www.gov.uk/advancdlarningloans About this form Complt this form if: you r studying an ligibl cours at an approvd

More information

CHAPTER 4c. ROOTS OF EQUATIONS

CHAPTER 4c. ROOTS OF EQUATIONS CHAPTER c. ROOTS OF EQUATIONS A. J. Clark School o Enginring Dpartmnt o Civil and Environmntal Enginring by Dr. Ibrahim A. Aakka Spring 00 ENCE 03 - Computation Mthod in Civil Enginring II Dpartmnt o Civil

More information

Lecture 20: Emitter Follower and Differential Amplifiers

Lecture 20: Emitter Follower and Differential Amplifiers Whits, EE 3 Lctur 0 Pag of 8 Lctur 0: Emittr Followr and Diffrntial Amplifirs Th nxt two amplifir circuits w will discuss ar ry important to lctrical nginring in gnral, and to th NorCal 40A spcifically.

More information

Performance Evaluation

Performance Evaluation Prformanc Evaluation ( ) Contnts lists availabl at ScincDirct Prformanc Evaluation journal hompag: www.lsvir.com/locat/pva Modling Bay-lik rputation systms: Analysis, charactrization and insuranc mchanism

More information

Mathematics. Mathematics 3. hsn.uk.net. Higher HSN23000

Mathematics. Mathematics 3. hsn.uk.net. Higher HSN23000 hsn uknt Highr Mathmatics UNIT Mathmatics HSN000 This documnt was producd spcially for th HSNuknt wbsit, and w rquir that any copis or drivativ works attribut th work to Highr Still Nots For mor dtails

More information

Category 7: Employee Commuting

Category 7: Employee Commuting 7 Catgory 7: Employ Commuting Catgory dscription This catgory includs missions from th transportation of mploys 4 btwn thir homs and thir worksits. Emissions from mploy commuting may aris from: Automobil

More information

Fundamentals: NATURE OF HEAT, TEMPERATURE, AND ENERGY

Fundamentals: NATURE OF HEAT, TEMPERATURE, AND ENERGY Fundamntals: NATURE OF HEAT, TEMPERATURE, AND ENERGY DEFINITIONS: Quantum Mchanics study of individual intractions within atoms and molculs of particl associatd with occupid quantum stat of a singl particl

More information

Constraint-Based Analysis of Gene Deletion in a Metabolic Network

Constraint-Based Analysis of Gene Deletion in a Metabolic Network Constraint-Basd Analysis of Gn Dltion in a Mtabolic Ntwork Abdlhalim Larhlimi and Alxandr Bockmayr DFG-Rsarch Cntr Mathon, FB Mathmatik und Informatik, Fri Univrsität Brlin, Arnimall, 3, 14195 Brlin, Grmany

More information

81-1-ISD Economic Considerations of Heat Transfer on Sheet Metal Duct

81-1-ISD Economic Considerations of Heat Transfer on Sheet Metal Duct Air Handling Systms Enginring & chnical Bulltin 81-1-ISD Economic Considrations of Hat ransfr on Sht Mtal Duct Othr bulltins hav dmonstratd th nd to add insulation to cooling/hating ducts in ordr to achiv

More information

Making and Using the Hertzsprung - Russell Diagram

Making and Using the Hertzsprung - Russell Diagram Making and Using th Hrtzsprung - Russll Diagram Nam In astronomy th Hrtzsprung-Russll Diagram is on of th main ways that w organiz data dscribing how stars volv, ags of star clustrs, masss of stars tc.

More information

Renewable Energy Sources. Solar Cells SJSU-E10 S John Athanasiou

Renewable Energy Sources. Solar Cells SJSU-E10 S John Athanasiou Rnwabl Enrgy Sourcs. Solar Clls SJSU-E10 S-2008 John Athanasiou 1 Rnwabl Enrgy Sourcs Rnwabl: Thy can last indfinitly 1. Wind Turbin: Convrting th wind nrgy into lctricity Wind, Propllr, Elctric Gnrator,

More information

ME 612 Metal Forming and Theory of Plasticity. 6. Strain

ME 612 Metal Forming and Theory of Plasticity. 6. Strain Mtal Forming and Thory of Plasticity -mail: azsnalp@gyt.du.tr Makin Mühndisliği Bölümü Gbz Yüksk Tknoloji Enstitüsü 6.1. Uniaxial Strain Figur 6.1 Dfinition of th uniaxial strain (a) Tnsil and (b) Comprssiv.

More information

C H A P T E R 1 Writing Reports with SAS

C H A P T E R 1 Writing Reports with SAS C H A P T E R 1 Writing Rports with SAS Prsnting information in a way that s undrstood by th audinc is fundamntally important to anyon s job. Onc you collct your data and undrstand its structur, you nd

More information

Chapter 5 Capacitance and Dielectrics

Chapter 5 Capacitance and Dielectrics 5 5 5- Chaptr 5 Capacitanc and Dilctrics 5.1 Introduction... 5-3 5. Calculation of Capacitanc... 5-4 Exampl 5.1: Paralll-Plat Capacitor... 5-4 Exampl 5.: Cylindrical Capacitor... 5-6 Exampl 5.3: Sphrical

More information

(Analytic Formula for the European Normal Black Scholes Formula)

(Analytic Formula for the European Normal Black Scholes Formula) (Analytic Formula for th Europan Normal Black Schols Formula) by Kazuhiro Iwasawa Dcmbr 2, 2001 In this short summary papr, a brif summary of Black Schols typ formula for Normal modl will b givn. Usually

More information

June 2012. Enprise Rent. Enprise 1.1.6. Author: Document Version: Product: Product Version: SAP Version: 8.81.100 8.8

June 2012. Enprise Rent. Enprise 1.1.6. Author: Document Version: Product: Product Version: SAP Version: 8.81.100 8.8 Jun 22 Enpris Rnt Author: Documnt Vrsion: Product: Product Vrsion: SAP Vrsion: Enpris Enpris Rnt 88 88 Enpris Rnt 22 Enpris Solutions All rights rsrvd No parts of this work may b rproducd in any form or

More information

Cloud and Big Data Summer School, Stockholm, Aug., 2015 Jeffrey D. Ullman

Cloud and Big Data Summer School, Stockholm, Aug., 2015 Jeffrey D. Ullman Cloud and Big Data Summr Scool, Stockolm, Aug., 2015 Jffry D. Ullman Givn a st of points, wit a notion of distanc btwn points, group t points into som numbr of clustrs, so tat mmbrs of a clustr ar clos

More information

HOMEWORK FOR UNIT 5-1: FORCE AND MOTION

HOMEWORK FOR UNIT 5-1: FORCE AND MOTION Nam Dat Partnrs HOMEWORK FOR UNIT 51: FORCE AND MOTION 1. You ar givn tn idntial springs. Dsrib how you would dvlop a sal of for (i., a mans of produing rpatabl fors of a varity of sizs) using ths springs.

More information

Version Issue Date Reason / Description of Change Author Draft February, N/A 2009

Version Issue Date Reason / Description of Change Author Draft February, N/A 2009 Appndix A: CNS Managmnt Procss: OTRS POC Documnt Control Titl : CNS Managmnt Procss Documnt : (Location of Documnt and Documnt numbr) Author : Ettin Vrmuln (EV) Ownr : ICT Stratgic Srvics Vrsion : Draft

More information

5.4 Exponential Functions: Differentiation and Integration TOOTLIFTST:

5.4 Exponential Functions: Differentiation and Integration TOOTLIFTST: .4 Eponntial Functions: Diffrntiation an Intgration TOOTLIFTST: Eponntial functions ar of th form f ( ) Ab. W will, in this sction, look at a spcific typ of ponntial function whr th bas, b, is.78.... This

More information

LAB 3: VELOCITY AND ACCELERATION GRAPHS

LAB 3: VELOCITY AND ACCELERATION GRAPHS Goas: LAB 3: ELOCITY AND ACCELERATION GRAPHS Invstigat accration vs. tim graphs Prdict accration graphs from vocity graphs Invstigat accration as sop of vocity vs. tim graph Part 1 - Making ocity- Graphs

More information

Parallel and Distributed Programming. Performance Metrics

Parallel and Distributed Programming. Performance Metrics Paralll and Distributd Programming Prformanc! wo main goals to b achivd with th dsign of aralll alications ar:! Prformanc: th caacity to rduc th tim to solv th roblm whn th comuting rsourcs incras;! Scalability:

More information

The Fourier Transform

The Fourier Transform Th Fourir Transfor Larning outcos Us th Discrt Fourir Transfor to prfor frquncy analysis on a discrt (digital) signal Eplain th significanc of th Fast Fourir Transfor algorith; Eplain why windowing is

More information

Teaching Computer Networking with the Help of Personal Computer Networks

Teaching Computer Networking with the Help of Personal Computer Networks Taching Computr Ntworking with th Hlp of Prsonal Computr Ntworks Rocky K. C. Chang Dpartmnt of Computing Th Hong Kong Polytchnic Univrsity Hung Hom, Kowloon, Hong Kong csrchang@comp.polyu.du.hk ABSTRACT

More information

Who uses our services? We have a growing customer base. with institutions all around the globe.

Who uses our services? We have a growing customer base. with institutions all around the globe. not taking xpr Srvic Guid 2013 / 2014 NTE i an affordabl option for audio to txt convrion. Our rvic includ not or dirct trancription rvic from prviouly rcordd audio fil. Our rvic appal pcially to tudnt

More information

EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS

EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS 25 Vol. 3 () January-March, pp.37-5/tripathi EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS *Shilpa Tripathi Dpartmnt of Chmical Enginring, Indor Institut

More information

Entity-Relationship Model

Entity-Relationship Model Entity-Rlationship Modl Kuang-hua Chn Dpartmnt of Library and Information Scinc National Taiwan Univrsity A Company Databas Kps track of a company s mploys, dpartmnts and projcts Aftr th rquirmnts collction

More information

Section 5-5 Inverse of a Square Matrix

Section 5-5 Inverse of a Square Matrix - Invrs of a Squar Matrix 9 (D) Rank th playrs from strongst to wakst. Explain th rasoning hind your ranking. 68. Dominan Rlation. Eah mmr of a hss tam plays on math with vry othr playr. Th rsults ar givn

More information

Subatomic Physics: Particle Physics Study Guide

Subatomic Physics: Particle Physics Study Guide Subatomic Physics: Particl Physics Study Guid This is a uid of what to rvis for th xam. Th othr matrial w covrd in th cours may appar in ustions but it will always b providd if ruird. Rmmbr that, in an

More information

WORKERS' COMPENSATION ANALYST, 1774 SENIOR WORKERS' COMPENSATION ANALYST, 1769

WORKERS' COMPENSATION ANALYST, 1774 SENIOR WORKERS' COMPENSATION ANALYST, 1769 08-16-85 WORKERS' COMPENSATION ANALYST, 1774 SENIOR WORKERS' COMPENSATION ANALYST, 1769 Summary of Dutis : Dtrmins City accptanc of workrs' compnsation cass for injurd mploys; authorizs appropriat tratmnt

More information

Use a high-level conceptual data model (ER Model). Identify objects of interest (entities) and relationships between these objects

Use a high-level conceptual data model (ER Model). Identify objects of interest (entities) and relationships between these objects Chaptr 3: Entity Rlationship Modl Databas Dsign Procss Us a high-lvl concptual data modl (ER Modl). Idntify objcts of intrst (ntitis) and rlationships btwn ths objcts Idntify constraints (conditions) End

More information

Cost-Volume-Profit Analysis

Cost-Volume-Profit Analysis ch03.qxd 9/7/04 4:06 PM Pag 86 CHAPTER Cost-Volum-Profit Analysis In Brif Managrs nd to stimat futur rvnus, costs, and profits to hlp thm plan and monitor oprations. Thy us cost-volum-profit (CVP) analysis

More information

Lecture notes: 160B revised 9/28/06 Lecture 1: Exchange Rates and the Foreign Exchange Market FT chapter 13

Lecture notes: 160B revised 9/28/06 Lecture 1: Exchange Rates and the Foreign Exchange Market FT chapter 13 Lctur nots: 160B rvisd 9/28/06 Lctur 1: xchang Rats and th Forign xchang Markt FT chaptr 13 Topics: xchang Rats Forign xchang markt Asst approach to xchang rats Intrst Rat Parity Conditions 1) Dfinitions

More information

Current and Resistance

Current and Resistance Chaptr 6 Currnt and Rsistanc 6.1 Elctric Currnt...6-6.1.1 Currnt Dnsity...6-6. Ohm s Law...6-4 6.3 Elctrical Enrgy and Powr...6-7 6.4 Summary...6-8 6.5 Solvd Problms...6-9 6.5.1 Rsistivity of a Cabl...6-9

More information

Analyzing the Economic Efficiency of ebaylike Online Reputation Reporting Mechanisms

Analyzing the Economic Efficiency of ebaylike Online Reputation Reporting Mechanisms A rsarch and ducation initiativ at th MIT Sloan School of Managmnt Analyzing th Economic Efficincy of Baylik Onlin Rputation Rporting Mchanisms Papr Chrysanthos Dllarocas July For mor information, plas

More information

Precise Memory Leak Detection for Java Software Using Container Profiling

Precise Memory Leak Detection for Java Software Using Container Profiling Distinguishd Papr Prcis Mmory Lak Dtction for Java Softwar Using Containr Profiling Guoqing Xu Atanas Rountv Dpartmnt of Computr Scinc and Enginring Ohio Stat Univrsity {xug,rountv}@cs.ohio-stat.du ABSTRACT

More information

Chapter 3: Capacitors, Inductors, and Complex Impedance

Chapter 3: Capacitors, Inductors, and Complex Impedance haptr 3: apacitors, Inductors, and omplx Impdanc In this chaptr w introduc th concpt of complx rsistanc, or impdanc, by studying two ractiv circuit lmnts, th capacitor and th inductor. W will study capacitors

More information

In the first years of the millennium, Americans flocked to Paris to enjoy French

In the first years of the millennium, Americans flocked to Paris to enjoy French 14 chaptr Exchang Rats and th Forign Exchang Markt: An Asst Approach 320 In th first yars of th millnnium, Amricans flockd to Paris to njoy Frnch cuisin whil shopping for dsignr clothing and othr spcialtis.

More information

FINAL EXAM: DATABASES ("BASES DE DATOS") 9/06/06 SCHEMA

FINAL EXAM: DATABASES (BASES DE DATOS) 9/06/06 SCHEMA FINAL EXAM: DATABASES ("BASES DE DATOS") 9/06/06 SCHEMA Considr th following rlational schma, which will b rfrrd to as WORKING SCHEMA, which maintains information on th ordr and invoics of a rtail company:

More information

Infrared Vibration-Rotation Spectroscopy of HCl and DCl

Infrared Vibration-Rotation Spectroscopy of HCl and DCl Chmistry 363 JMS 1/05 Spring 010 DLC 1/10 Infrard Vibration-Rotation Spctroscopy of HCl and DCl Exprimnt Objctiv: to obtain th quilibrium bond lngth (r ) and vibration-rotation spctroscopic constants from

More information

Planning and Managing Copper Cable Maintenance through Cost- Benefit Modeling

Planning and Managing Copper Cable Maintenance through Cost- Benefit Modeling Planning and Managing Coppr Cabl Maintnanc through Cost- Bnfit Modling Jason W. Rup U S WEST Advancd Tchnologis Bouldr Ky Words: Maintnanc, Managmnt Stratgy, Rhabilitation, Cost-bnfit Analysis, Rliability

More information

Theoretical approach to algorithm for metrological comparison of two photothermal methods for measuring of the properties of materials

Theoretical approach to algorithm for metrological comparison of two photothermal methods for measuring of the properties of materials Rvista Invstigación Cintífica, ol. 4, No. 3, Nuva época, sptimbr dicimbr 8, IN 187 8196 Thortical approach to algorithm for mtrological comparison of two photothrmal mthods for masuring of th proprtis

More information

SIMULATION OF THE PERFECT COMPETITION AND MONOPOLY MARKET STRUCTURE IN THE COMPANY THEORY

SIMULATION OF THE PERFECT COMPETITION AND MONOPOLY MARKET STRUCTURE IN THE COMPANY THEORY 1 SIMULATION OF THE PERFECT COMPETITION AND MONOPOLY MARKET STRUCTURE IN THE COMPANY THEORY ALEXA Vasil ABSTRACT Th prsnt papr has as targt to crat a programm in th Matlab ara, in ordr to solv, didactically

More information

Installation Saving Space-efficient Panel Enhanced Physical Durability Enhanced Performance Warranty The IRR Comparison

Installation Saving Space-efficient Panel Enhanced Physical Durability Enhanced Performance Warranty The IRR Comparison Contnts Tchnology Nwly Dvlopd Cllo Tchnology Cllo Tchnology : Improvd Absorption of Light Doubl-sidd Cll Structur Cllo Tchnology : Lss Powr Gnration Loss Extrmly Low LID Clls 3 3 4 4 4 Advantag Installation

More information

Magic Message Maker Amaze your customers with this Gift of Caring communication piece

Magic Message Maker Amaze your customers with this Gift of Caring communication piece Magic Mssag Makr maz your customrs with this Gift of aring communication pic Girls larn th powr and impact of crativ markting with this attntion grabbing communication pic that will hlp thm o a World of

More information

Chapter 10 Function of a Matrix

Chapter 10 Function of a Matrix EE448/58 Vrsion. John Stnsby Chatr Function of a atrix t f(z) b a comlx-valud function of a comlx variabl z. t A b an n n comlxvalud matrix. In this chatr, w giv a dfinition for th n n matrix f(a). Also,

More information

STATEMENT OF INSOLVENCY PRACTICE 3.2

STATEMENT OF INSOLVENCY PRACTICE 3.2 STATEMENT OF INSOLVENCY PRACTICE 3.2 COMPANY VOLUNTARY ARRANGEMENTS INTRODUCTION 1 A Company Voluntary Arrangmnt (CVA) is a statutory contract twn a company and its crditors undr which an insolvncy practitionr

More information

I. INTRODUCTION. Figure 1, The Input Display II. DESIGN PROCEDURE

I. INTRODUCTION. Figure 1, The Input Display II. DESIGN PROCEDURE Ballast Dsign Softwar Ptr Grn, Snior ighting Systms Enginr, Intrnational Rctifir, ighting Group, 101S Spulvda Boulvard, El Sgundo, CA, 9045-438 as prsntd at PCIM Europ 0 Abstract: W hav dvlopd a Windows

More information

TIME MANAGEMENT. 1 The Process for Effective Time Management 2 Barriers to Time Management 3 SMART Goals 4 The POWER Model e. Section 1.

TIME MANAGEMENT. 1 The Process for Effective Time Management 2 Barriers to Time Management 3 SMART Goals 4 The POWER Model e. Section 1. Prsonal Dvlopmnt Track Sction 1 TIME MANAGEMENT Ky Points 1 Th Procss for Effctiv Tim Managmnt 2 Barrirs to Tim Managmnt 3 SMART Goals 4 Th POWER Modl In th Army, w spak of rsourcs in trms of th thr M

More information

The Constrained Ski-Rental Problem and its Application to Online Cloud Cost Optimization

The Constrained Ski-Rental Problem and its Application to Online Cloud Cost Optimization 3 Procdings IEEE INFOCOM Th Constraind Ski-Rntal Problm and its Application to Onlin Cloud Cost Optimization Ali Khanafr, Murali Kodialam, and Krishna P. N. Puttaswam Coordinatd Scinc Laborator, Univrsit

More information

Introduction to Finite Element Modeling

Introduction to Finite Element Modeling Introduction to Finit Elmnt Modling Enginring analysis of mchanical systms hav bn addrssd by driving diffrntial quations rlating th variabls of through basic physical principls such as quilibrium, consrvation

More information

CPU. Rasterization. Per Vertex Operations & Primitive Assembly. Polynomial Evaluator. Frame Buffer. Per Fragment. Display List.

CPU. Rasterization. Per Vertex Operations & Primitive Assembly. Polynomial Evaluator. Frame Buffer. Per Fragment. Display List. Elmntary Rndring Elmntary rastr algorithms for fast rndring Gomtric Primitivs Lin procssing Polygon procssing Managing OpnGL Stat OpnGL uffrs OpnGL Gomtric Primitivs ll gomtric primitivs ar spcifid by

More information

An Analysis of Synergy Degree of Primary-Tertiary Industry System in Dujiangyan City

An Analysis of Synergy Degree of Primary-Tertiary Industry System in Dujiangyan City www.ccsnt.org/ijbm Intrnational Journal of Businss and Managmnt Vol. 6, No. 8; August An Analysis of Synrgy Dgr of Primary-Trtiary Industry Systm in Dujiangyan City Qizhi Yang School of Tourism, Sichuan

More information

Architecture of the proposed standard

Architecture of the proposed standard Architctur of th proposd standard Introduction Th goal of th nw standardisation projct is th dvlopmnt of a standard dscribing building srvics (.g.hvac) product catalogus basd on th xprincs mad with th

More information

Defining Retirement Success for Defined Contribution Plan Sponsors: Begin with the End in Mind

Defining Retirement Success for Defined Contribution Plan Sponsors: Begin with the End in Mind Dfining Rtirmnt Succss for Dfind Contribution Plan Sponsors: Bgin with th End in Mind David Blanchtt, CFA, CFP, AIFA Had of Rtirmnt Rsarch Morningstar Invstmnt Managmnt david.blanchtt@morningstar.com Nathan

More information

[ ] These are the motor parameters that are needed: Motor voltage constant. J total (lb-in-sec^2)

[ ] These are the motor parameters that are needed: Motor voltage constant. J total (lb-in-sec^2) MEASURING MOOR PARAMEERS Fil: Motor paramtrs hs ar th motor paramtrs that ar ndd: Motor voltag constant (volts-sc/rad Motor torqu constant (lb-in/amp Motor rsistanc R a (ohms Motor inductanc L a (Hnris

More information

METHODS FOR HANDLING TIED EVENTS IN THE COX PROPORTIONAL HAZARD MODEL

METHODS FOR HANDLING TIED EVENTS IN THE COX PROPORTIONAL HAZARD MODEL STUDIA OECONOMICA POSNANIENSIA 204, vol. 2, no. 2 (263 Jadwiga Borucka Warsaw School of Economics, Institut of Statistics and Dmography, Evnt History and Multilvl Analysis Unit jadwiga.borucka@gmail.com

More information

NAVAL POSTGRADUATE SCHOOL

NAVAL POSTGRADUATE SCHOOL NAVAL POSTGRADUATE SCHOOL MONTEREY, CALIFORNIA MBA PROFESSIONAL REPORT Th Survivor Bnfit Plan: A Cost-Bnfit Analysis By: Advisors: Scott E. Batty, and Tho Kang Dcmbr 2007 William R. Gats, Raymond E. Franck

More information

Maximum and minimum void ratios and median grain size of granular soils: their importance and correlations with material properties

Maximum and minimum void ratios and median grain size of granular soils: their importance and correlations with material properties 3 r d Intrnational Confrnc on Nw Dvlopmnts in Soil Mchanics and Gotchnical Enginring, 8-30 Jun 01, Nar East Univrsity, Nicosia, North Cyprus Maximum and minimum void ratios and mdian grain siz of granular

More information

AP Calculus Multiple-Choice Question Collection 1969 1998. connect to college success www.collegeboard.com

AP Calculus Multiple-Choice Question Collection 1969 1998. connect to college success www.collegeboard.com AP Calculus Multipl-Choic Qustion Collction 969 998 connct to collg succss www.collgboard.com Th Collg Board: Conncting Studnts to Collg Succss Th Collg Board is a not-for-profit mmbrship association whos

More information

Rent, Lease or Buy: Randomized Algorithms for Multislope Ski Rental

Rent, Lease or Buy: Randomized Algorithms for Multislope Ski Rental Rnt, Las or Buy: Randomizd Algorithms for Multislop Ski Rntal Zvi Lotkr zvilo@cs.bgu.ac.il Dpt. of Comm. Systms Enginring Bn Gurion Univrsity Br Shva Isral Boaz Patt-Shamir Dror Rawitz {boaz, rawitz}@ng.tau.ac.il

More information

Production Costing (Chapter 8 of W&W)

Production Costing (Chapter 8 of W&W) Production Costing (Chaptr 8 of W&W).0 Introduction Production costs rfr to th oprational costs associatd with producing lctric nrgy. Th most significant componnt of production costs ar th ful costs ncssary

More information

Simulation of the electric field generated by a brown ghost knife fish

Simulation of the electric field generated by a brown ghost knife fish C H A P T R 2 7 Simulation of th lctric fild gnratd by a brown ghost knif fish lctric fild CONCPTS 27.1 Th fild modl 27.2 lctric fild diagrams 27.3 Suprposition of lctric filds 27.4 lctric filds and forcs

More information

Keywords Cloud Computing, Service level agreement, cloud provider, business level policies, performance objectives.

Keywords Cloud Computing, Service level agreement, cloud provider, business level policies, performance objectives. Volum 3, Issu 6, Jun 2013 ISSN: 2277 128X Intrnational Journal of Advancd Rsarch in Computr Scinc and Softwar Enginring Rsarch Papr Availabl onlin at: wwwijarcsscom Dynamic Ranking and Slction of Cloud

More information