# Mechanics 1: Work, Power and Kinetic Energy

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Mechanics 1: Wok, Powe and Kinetic Eneg We fist intoduce the ideas of wok and powe. The notion of wok can be viewed as the bidge between Newton s second law, and eneg (which we have et to define and discuss). The tem wok was fist used in 1826 b the Fench mathematician/enginee Gaspad-Gustave oiolis (note that this was, oughl, 150 eas afte Newton). Wok. Suppose a foce F acting on a paticle gives it a displacement d. Then the wok done b the foce on the paticle is defined as: d F d. (1) (It should be clea that wok is a scala.) The total wok done b a foce field (o, vecto field) F in moving a paticle fom point to point along a path is given b the line integal: P2 whee 1 is the position vecto of and 2 is the position vecto of, see Fig F d, (2) z d i k j + d Figue 1: It is woth consideing the F moe caefull in the epession fo wok. In ou discussion of Newton s second law, F = ma, F was the vecto sum of all foces acting on the paticle of mass m, i.e. the net foce acting on m. This will almost alwas be the case in ou epessions fo wok, and it is definitel the case when Newton s second law is used in cetain manipulations involving the epession fo wok, e.g., in Theoem 1. Howeve, thee ma be cicumstances when one is inteested in the wok done on a paticle b a specific foce in the vecto sum of all foces. This should be clea fom the contet. Unless eplicitl stated, the F in the epession fo wok is the vecto sum of all foces acting on the paticle of constant mass m. Eample. Find the wok done in moving an object along a vecto = 3i + 2j 5k if the applied foce is F = 2i j k, see Fig. 2 (this means along a distance of the constant length of the vecto in the constant diection of the vecto ). 1

2 F θ Figue 2: Solution: Wok done = magnitude of foce in diection of motion distance moved, = (F cos θ)() = F, = (2i j k) (3i + 2j 5k), = = 9. Eample. Find the wok done in moving a paticle once aound a cicle in the plane, if the cicle has cente at the oigin and adius 3, and if the foce field is given b: see Fig. 3. F = (2 + z)i + ( + z 2 )j + ( z)k, O t Figue 3: Solution: In the plane z = 0, F = (2 )i + ( + )j + (3 2)k and d = di + dj. Then the wok done is: = ((2 )i + ( + )j + (3 2)k) (di + dj), (2 )d + ( + )d. 2

3 hoose the paametic equations of the cicle as = 3cos t, = 3 sin t, whee t vaies fom 0 to 2π. Then the line integal becomes: 2π t=0 2π = 0 (2(3 cos t) 3sin t) ( 3sin t) dt + (3cos t + 3 sin t)(3cos t)dt, (9 9sin t cos t)dt = 9t 9 «2π 2 sin2 t = 18π. 0 In tavesing we have chosen the counteclockwise diection indicated in Fig. 3. We efe to this as the positive diection and sa that has been tavesed in the positive sense. If we had tavesed in the clockwise (negative) diection the value of the integal would have been 18π. Powe. The time ate of doing wok on a paticle is called the instantaneous powe, o, biefl, the powe applied to the paticle. Denoting the instantaneous powe b P, we have: P = dw dt. If F denotes the foce acting on a paticle and v is the velocit of the paticle then we also have: P = F v. Eample. Suppose a paticle of mass m moves unde the influence of a foce field along a space cuve whose position vecto is given b: = (2t 3 + t)i + (3t 4 t 2 + 8)j 12t 2 k. Find the instantaneous powe applied to the paticle b the foce field. Solution: We need to compute the foce and the velocit, and then take thei dot poduct. The velocit of the paticle is given b: v = (6t 2 + 1)i + (12t 3 2t)j 24tk. The acceleation is given b: a = 12ti + (36t 2 2)j 24k. Theefoe the foce is given b: F = ma = m `12ti + (36t 2 2)j 24k. Now we have enough infomation to compute the instantaneous wok: F v = m `12ti + (36t 2 2)j 24k `(6t 2 + 1)i + (12t 3 2t)j 24tk, = m `72t t + 432t 5 72t 3 24t 3 + 4t + 576t = m `432t 5 24t t. Ke point: It should be clea (quoting fom Sommefeld [1952]) that wok does not equal foce times distance as often stated, but component of foce along path times path length o foce times component of path length along foce 3

4 . Kinetic Eneg. We now show that the idea of wok leads natuall to the notion of the idea of the kinetic eneg of a paticle. If the foce is consevative, we show that this enables us to intoduce the idea of potential eneg. In this wa wok can be chaacteized eithe though kinetic eneg, o though the potential eneg. Refe back to Fig. 1 which we epoduce again hee. z d i k j + d Figue 4: We assume that the mass m of the paticle is constant, and that at times and t 2 it is located at points and, espectivel, and moving with velocities v 1 = d d (t1) and v2 = (t2) at points P1 and P2, dt dt espectivel. Then we can pove the following theoem. Theoem 1 The total wok done b the net foces F in moving the paticle along the cuve fom to is given b: 1 2 m(v2 2 v 2 1). (3) Poof: Wok done = F d dt dt = F vdt, = m dv dt vdt = m v dv, Note that Newton s second law is used hee. = 1 2 m d(v v) = 1 t 2 2 mv2 = 1 2 mv mv2 1, which completes the poof. If we call the quantit: T = 1 2 mv2, the kinetic eneg, this theoem states that: The total wok done b the net foces F in moving the paticle of constant mass m fom to along = the kinetic eneg at - the kinetic eneg at. o, smbolicall, 4

5 T 2 T 1, whee T 1 = 1 2 mv2 1 and T 2 = 1 2 mv2 2. It should be clea (but ou should convince ouself of this) that is a solution of Newton s equations. Now we conside the impotant case when the foce is consevative. onsevative Foce Fields. Suppose thee eists a scala function V such that F = V. Then we can pove the following: Theoem 2 The total wok done b the foce F = V. in moving the paticle along fom to is: Poof: Fist, note that: P2 V () V (). dv (,,z) = V V V (,,z)d + (,,z)d + (,, z)dz = V d. z Then the poof follows fom a diect calculation using the specific fom of F = V : P2 P2 V d = dv = V = V () V (), P2 which completes the poof. Now we state (without poof) two theoems that give computable conditions fo detemining if a foce field is consevative. Theoem 3 A foce field F is consevative if and onl if thee eists a continuousl diffeentiable scala field V such that F = V o, equivalentl, if and onl if: F = culf = 0 identicall. Theoem 4 A continuousl diffeentiable foce field F is consevative if and onl if fo an closed nonintesecting cuve (i.e., simple closed cuve) we have: I 0, i.e., the total wok done in moving a paticle aound an simple closed cuve is zeo. Potential Eneg o Potential. The scala function V, such that F = V is called the potential eneg (o also the scala potential o just potential) of the paticle in the consevative foce field F. It should be noted that if ou add an abita constant to the potential, the associated foce does not change. We can epess the potential as: V = F d, 0 whee 0 is chosen abitail. The point 0 is sometimes called the efeence point. Even though it is abita, a wise choice can simplif a poblem. We will see eamples of this late on. 5

### Multiple choice questions [70 points]

Multiple choice questions [70 points] Answe all of the following questions. Read each question caefull. Fill the coect bubble on ou scanton sheet. Each question has exactl one coect answe. All questions

### UNIT CIRCLE TRIGONOMETRY

UNIT CIRCLE TRIGONOMETRY The Unit Cicle is the cicle centeed at the oigin with adius unit (hence, the unit cicle. The equation of this cicle is + =. A diagam of the unit cicle is shown below: + = - - -

### Vector Calculus: Are you ready? Vectors in 2D and 3D Space: Review

Vecto Calculus: Ae you eady? Vectos in D and 3D Space: Review Pupose: Make cetain that you can define, and use in context, vecto tems, concepts and fomulas listed below: Section 7.-7. find the vecto defined

### Deflection of Electrons by Electric and Magnetic Fields

Physics 233 Expeiment 42 Deflection of Electons by Electic and Magnetic Fields Refeences Loain, P. and D.R. Coson, Electomagnetism, Pinciples and Applications, 2nd ed., W.H. Feeman, 199. Intoduction An

### Summary: Vectors. This theorem is used to find any points (or position vectors) on a given line (direction vector). Two ways RT can be applied:

Summ: Vectos ) Rtio Theoem (RT) This theoem is used to find n points (o position vectos) on given line (diection vecto). Two ws RT cn e pplied: Cse : If the point lies BETWEEN two known position vectos

### Voltage ( = Electric Potential )

V-1 of 9 Voltage ( = lectic Potential ) An electic chage altes the space aound it. Thoughout the space aound evey chage is a vecto thing called the electic field. Also filling the space aound evey chage

### Skills Needed for Success in Calculus 1

Skills Needed fo Success in Calculus Thee is much appehension fom students taking Calculus. It seems that fo man people, "Calculus" is snonmous with "difficult." Howeve, an teache of Calculus will tell

### PAN STABILITY TESTING OF DC CIRCUITS USING VARIATIONAL METHODS XVIII - SPETO - 1995. pod patronatem. Summary

PCE SEMINIUM Z PODSTW ELEKTOTECHNIKI I TEOII OBWODÓW 8 - TH SEMIN ON FUNDMENTLS OF ELECTOTECHNICS ND CICUIT THEOY ZDENĚK BIOLEK SPŠE OŽNO P.., CZECH EPUBLIC DLIBO BIOLEK MILITY CDEMY, BNO, CZECH EPUBLIC

### 10. Collisions. Before During After

10. Collisions Use conseation of momentum and enegy and the cente of mass to undestand collisions between two objects. Duing a collision, two o moe objects exet a foce on one anothe fo a shot time: -F(t)

### Chapter 3 Savings, Present Value and Ricardian Equivalence

Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,

### 4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to

. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate

### Chapter 4: Fluid Kinematics

Oveview Fluid kinematics deals with the motion of fluids without consideing the foces and moments which ceate the motion. Items discussed in this Chapte. Mateial deivative and its elationship to Lagangian

### CHAPTER 5 GRAVITATIONAL FIELD AND POTENTIAL

CHATER 5 GRAVITATIONAL FIELD AND OTENTIAL 5. Intoduction. This chapte deals with the calculation of gavitational fields and potentials in the vicinity of vaious shapes and sizes of massive bodies. The

### VISCOSITY OF BIO-DIESEL FUELS

VISCOSITY OF BIO-DIESEL FUELS One of the key assumptions fo ideal gases is that the motion of a given paticle is independent of any othe paticles in the system. With this assumption in place, one can use

### Continuous Compounding and Annualization

Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem

### Spirotechnics! September 7, 2011. Amanda Zeringue, Michael Spannuth and Amanda Zeringue Dierential Geometry Project

Spiotechnics! Septembe 7, 2011 Amanda Zeingue, Michael Spannuth and Amanda Zeingue Dieential Geomety Poject 1 The Beginning The geneal consensus of ou goup began with one thought: Spiogaphs ae awesome.

### 2. Orbital dynamics and tides

2. Obital dynamics and tides 2.1 The two-body poblem This efes to the mutual gavitational inteaction of two bodies. An exact mathematical solution is possible and staightfowad. In the case that one body

### Phys 2101 Gabriela González. cos. sin. sin

1 Phys 101 Gabiela González a m t t ma ma m m T α φ ω φ sin cos α τ α φ τ sin m m α τ I We know all of that aleady!! 3 The figue shows the massive shield doo at a neuton test facility at Lawence Livemoe

### A r. (Can you see that this just gives the formula we had above?)

24-1 (SJP, Phys 1120) lectic flux, and Gauss' law Finding the lectic field due to a bunch of chages is KY! Once you know, you know the foce on any chage you put down - you can pedict (o contol) motion

### Things to Remember. r Complete all of the sections on the Retirement Benefit Options form that apply to your request.

Retiement Benefit 1 Things to Remembe Complete all of the sections on the Retiement Benefit fom that apply to you equest. If this is an initial equest, and not a change in a cuent distibution, emembe to

### Relativistic Quantum Mechanics

Chapte Relativistic Quantum Mechanics In this Chapte we will addess the issue that the laws of physics must be fomulated in a fom which is Loentz invaiant, i.e., the desciption should not allow one to

### Gravitational Mechanics of the Mars-Phobos System: Comparing Methods of Orbital Dynamics Modeling for Exploratory Mission Planning

Gavitational Mechanics of the Mas-Phobos System: Compaing Methods of Obital Dynamics Modeling fo Exploatoy Mission Planning Alfedo C. Itualde The Pennsylvania State Univesity, Univesity Pak, PA, 6802 This

### MULTIPLE SOLUTIONS OF THE PRESCRIBED MEAN CURVATURE EQUATION

MULTIPLE SOLUTIONS OF THE PRESCRIBED MEAN CURVATURE EQUATION K.C. CHANG AND TAN ZHANG In memoy of Pofesso S.S. Chen Abstact. We combine heat flow method with Mose theoy, supe- and subsolution method with

### INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS

INITIAL MARGIN CALCULATION ON DERIVATIVE MARKETS OPTION VALUATION FORMULAS Vesion:.0 Date: June 0 Disclaime This document is solely intended as infomation fo cleaing membes and othes who ae inteested in

### AMB111F Financial Maths Notes

AMB111F Financial Maths Notes Compound Inteest and Depeciation Compound Inteest: Inteest computed on the cuent amount that inceases at egula intevals. Simple inteest: Inteest computed on the oiginal fixed

### Seshadri constants and surfaces of minimal degree

Seshadi constants and sufaces of minimal degee Wioletta Syzdek and Tomasz Szembeg Septembe 29, 2007 Abstact In [] we showed that if the multiple point Seshadi constants of an ample line bundle on a smooth

### Investigation of advanced data processing technique in magnetic anomaly detection systems

st Intenational Confeence on Sensing Technolog Novembe -, 5 Palmeston Noth, New Zealand Investigation of advanced data pocessing technique in magnetic anomal detection sstems. Ginbug (, A. Sheinke (, L.

### Channel selection in e-commerce age: A strategic analysis of co-op advertising models

Jounal of Industial Engineeing and Management JIEM, 013 6(1):89-103 Online ISSN: 013-0953 Pint ISSN: 013-843 http://dx.doi.og/10.396/jiem.664 Channel selection in e-commece age: A stategic analysis of

### Physics 53. Kinematics 2. Our nature consists in movement; absolute rest is death. Pascal

Phsics 53 Kinematics 2 Our nature consists in movement; absolute rest is death. Pascal Velocit and Acceleration in 3-D We have defined the velocit and acceleration of a particle as the first and second

### COMPONENTS OF VECTORS

COMPONENTS OF VECTORS To describe motion in two dimensions we need a coordinate sstem with two perpendicular aes, and. In such a coordinate sstem, an vector A can be uniquel decomposed into a sum of two

### CHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS

9. Intoduction CHAPTER 9 THE TWO BODY PROBLEM IN TWO DIMENSIONS In this chapte we show how Keple s laws can be deived fom Newton s laws of motion and gavitation, and consevation of angula momentum, and

### Chapter 2 Modelling of Fluid Flow and Heat Transfer in Rotating-Disk Systems

Chapte 2 Modelling of Fluid Flow and Heat Tansfe in Rotating-Disk Systems 2.1 Diffeential and Integal Equations 2.1.1 Diffeential Navie Stokes and Enegy Equations We will conside hee stationay axisymmetic

### A Capacitated Commodity Trading Model with Market Power

A Capacitated Commodity Tading Model with Maket Powe Victo Matínez-de-Albéniz Josep Maia Vendell Simón IESE Business School, Univesity of Navaa, Av. Peason 1, 08034 Bacelona, Spain VAlbeniz@iese.edu JMVendell@iese.edu

### 11. Rotation Translational Motion: Rotational Motion:

11. Rotation Translational Motion: Motion of the center of mass of an object from one position to another. All the motion discussed so far belongs to this category, except uniform circular motion. Rotational

### Instituto Superior Técnico Av. Rovisco Pais, 1 1049-001 Lisboa E-mail: virginia.infante@ist.utl.pt

FATIGUE LIFE TIME PREDICTIO OF POAF EPSILO TB-30 AIRCRAFT - PART I: IMPLEMETATIO OF DIFERET CYCLE COUTIG METHODS TO PREDICT THE ACCUMULATED DAMAGE B. A. S. Seano 1, V. I. M.. Infante 2, B. S. D. Maado

### Load Balancing in Processor Sharing Systems

Load Balancing in ocesso Shaing Systems Eitan Altman INRIA Sophia Antipolis 2004, oute des Lucioles 06902 Sophia Antipolis, Fance altman@sophia.inia.f Utzi Ayesta LAAS-CNRS Univesité de Toulouse 7, Avenue

### Load Balancing in Processor Sharing Systems

Load Balancing in ocesso Shaing Systems Eitan Altman INRIA Sophia Antipolis 2004, oute des Lucioles 06902 Sophia Antipolis, Fance altman@sophia.inia.f Utzi Ayesta LAAS-CNRS Univesité de Toulouse 7, Avenue

### Life Insurance Purchasing to Reach a Bequest. Erhan Bayraktar Department of Mathematics, University of Michigan Ann Arbor, Michigan, USA, 48109

Life Insuance Puchasing to Reach a Bequest Ehan Bayakta Depatment of Mathematics, Univesity of Michigan Ann Abo, Michigan, USA, 48109 S. David Pomislow Depatment of Mathematics, Yok Univesity Toonto, Ontaio,

### CLOSE RANGE PHOTOGRAMMETRY WITH CCD CAMERAS AND MATCHING METHODS - APPLIED TO THE FRACTURE SURFACE OF AN IRON BOLT

CLOSE RANGE PHOTOGRAMMETR WITH CCD CAMERAS AND MATCHING METHODS - APPLIED TO THE FRACTURE SURFACE OF AN IRON BOLT Tim Suthau, John Moé, Albet Wieemann an Jens Fanzen Technical Univesit of Belin, Depatment

### Efficient Redundancy Techniques for Latency Reduction in Cloud Systems

Efficient Redundancy Techniques fo Latency Reduction in Cloud Systems 1 Gaui Joshi, Emina Soljanin, and Gegoy Wonell Abstact In cloud computing systems, assigning a task to multiple seves and waiting fo

### Strength Analysis and Optimization Design about the key parts of the Robot

Intenational Jounal of Reseach in Engineeing and Science (IJRES) ISSN (Online): 2320-9364, ISSN (Pint): 2320-9356 www.ijes.og Volume 3 Issue 3 ǁ Mach 2015 ǁ PP.25-29 Stength Analysis and Optimization Design

### Effect of Unemployment Insurance Tax On Wages and Employment: A Partial Equilibrium Analysis

Effect of Unemployment nuance Tax On Wage and Employment: atial Equilibium nalyi Deegha Raj dhikai, Oklahoma Employment Secuity Commiion ynn Gay, Oklahoma Employment Secuity Commiion Jackie Bun, Texa &

DYNAMIS AND STRUTURAL LOADING IN WIND TURBINES M. Ragheb 12/30/2008 INTRODUTION The loading egimes to which wind tubines ae subject to ae extemely complex equiing special attention in thei design, opeation

### Experimentation under Uninsurable Idiosyncratic Risk: An Application to Entrepreneurial Survival

Expeimentation unde Uninsuable Idiosyncatic Risk: An Application to Entepeneuial Suvival Jianjun Miao and Neng Wang May 28, 2007 Abstact We popose an analytically tactable continuous-time model of expeimentation

### Fast FPT-algorithms for cleaning grids

Fast FPT-algoithms fo cleaning gids Josep Diaz Dimitios M. Thilikos Abstact We conside the poblem that given a gaph G and a paamete k asks whethe the edit distance of G and a ectangula gid is at most k.

### How to recover your Exchange 2003/2007 mailboxes and emails if all you have available are your PRIV1.EDB and PRIV1.STM Information Store database

AnswesThatWok TM Recoveing Emails and Mailboxes fom a PRIV1.EDB Exchange 2003 IS database How to ecove you Exchange 2003/2007 mailboxes and emails if all you have available ae you PRIV1.EDB and PRIV1.STM

### Liquidity and Insurance for the Unemployed

Liquidity and Insuance fo the Unemployed Robet Shime Univesity of Chicago and NBER shime@uchicago.edu Iván Wening MIT, NBER and UTDT iwening@mit.edu Fist Daft: July 15, 2003 This Vesion: Septembe 22, 2005

### Mechanics lecture 7 Moment of a force, torque, equilibrium of a body

G.1 EE1.el3 (EEE1023): Electronics III Mechanics lecture 7 Moment of a force, torque, equilibrium of a body Dr Philip Jackson http://www.ee.surrey.ac.uk/teaching/courses/ee1.el3/ G.2 Moments, torque and

### Data Center Demand Response: Avoiding the Coincident Peak via Workload Shifting and Local Generation

(213) 1 28 Data Cente Demand Response: Avoiding the Coincident Peak via Wokload Shifting and Local Geneation Zhenhua Liu 1, Adam Wieman 1, Yuan Chen 2, Benjamin Razon 1, Niangjun Chen 1 1 Califonia Institute

### A Note on Risky Bond Valuation

A Note on Risky Bond Valuation C. H. Hui Banking Poliy Depatment Hong Kong Monetay Authoity 0th Floo,, Gaden Road, Hong Kong Email: Cho-Hoi_Hui@hkma.gov.hk C. F. Lo Physis Depatment The Chinese Univesity

### The impact of migration on the provision. of UK public services (SRG.10.039.4) Final Report. December 2011

The impact of migation on the povision of UK public sevices (SRG.10.039.4) Final Repot Decembe 2011 The obustness The obustness of the analysis of the is analysis the esponsibility is the esponsibility

### UNIVERSIDAD DE CANTABRIA TESIS DOCTORAL

UNIVERSIDAD DE CANABRIA Depatamento de Ingenieía de Comunicaciones ESIS DOCORAL Cyogenic echnology in the Micowave Engineeing: Application to MIC and MMIC Vey Low Noise Amplifie Design Juan Luis Cano de

### Structure and evolution of circumstellar disks during the early phase of accretion from a parent cloud

Cente fo Tubulence Reseach Annual Reseach Biefs 2001 209 Stuctue and evolution of cicumstella disks duing the ealy phase of accetion fom a paent cloud By Olusola C. Idowu 1. Motivation and Backgound The

### The Incidence of Social Security Taxes in Economies with Partial. Compliance: Evidence from the SS Reform in Mexico

The Incidence of Social Secuity Taxes in Economies ith Patial Compliance: Evidence fom the SS Refom in Mexico Gecia M. Maufo Abstact Looking at impovements in social secuity benefits in Mexico, this pape

### Statistics and Data Analysis

Pape 274-25 An Extension to SAS/OR fo Decision System Suppot Ali Emouznead Highe Education Funding Council fo England, Nothavon house, Coldhabou Lane, Bistol, BS16 1QD U.K. ABSTRACT This pape exploes the

### THE CARLO ALBERTO NOTEBOOKS

THE CARLO ALBERTO NOTEBOOKS Mean-vaiance inefficiency of CRRA and CARA utility functions fo potfolio selection in defined contibution pension schemes Woking Pape No. 108 Mach 2009 Revised, Septembe 2009)

### Secure Smartcard-Based Fingerprint Authentication

Secue Smatcad-Based Fingepint Authentication [full vesion] T. Chales Clancy Compute Science Univesity of Mayland, College Pak tcc@umd.edu Nega Kiyavash, Dennis J. Lin Electical and Compute Engineeing Univesity

### Valuation of Floating Rate Bonds 1

Valuation of Floating Rate onds 1 Joge uz Lopez us 316: Deivative Secuities his note explains how to value plain vanilla floating ate bonds. he pupose of this note is to link the concepts that you leaned

### Financial Planning and Risk-return profiles

Financial Planning and Risk-etun pofiles Stefan Gaf, Alexande Kling und Jochen Russ Pepint Seies: 2010-16 Fakultät fü Mathematik und Witschaftswissenschaften UNIERSITÄT ULM Financial Planning and Risk-etun

### Complex Envelope Vectorization for the solution of mid-high frequency acoustic problems. A. Sestieri

Complex Envelope Vectoization fo the solution of mid-high fequency acoustic poblems A. Sestiei Depatment of Mechanical and Aeospace Engineeing Univesity of Rome la Sapienza Pesentation layout - Low fequency

### Do Bonds Span the Fixed Income Markets? Theory and Evidence for Unspanned Stochastic Volatility

Do Bonds Span the Fied Income Makets? Theoy and Evidence fo Unspanned Stochastic olatility PIERRE COLLIN-DUFRESNE and ROBERT S. GOLDSTEIN July, 00 ABSTRACT Most tem stuctue models assume bond makets ae

### Over-encryption: Management of Access Control Evolution on Outsourced Data

Ove-encyption: Management of Access Contol Evolution on Outsouced Data Sabina De Capitani di Vimecati DTI - Univesità di Milano 26013 Cema - Italy decapita@dti.unimi.it Stefano Paaboschi DIIMM - Univesità

### An Analysis of Manufacturer Benefits under Vendor Managed Systems

An Analysis of Manufactue Benefits unde Vendo Managed Systems Seçil Savaşaneil Depatment of Industial Engineeing, Middle East Technical Univesity, 06531, Ankaa, TURKEY secil@ie.metu.edu.t Nesim Ekip 1

### CONCEPT OF TIME AND VALUE OFMONEY. Simple and Compound interest

CONCEPT OF TIME AND VALUE OFMONEY Simple and Compound inteest What is the futue value of shs 10,000 invested today to ean an inteest of 12% pe annum inteest payable fo 10 yeas and is compounded; a. Annually

### The Essence of the Electromagnetic Wave is Not Energy

The Eence of the Electomagnetic Wave i Not Enegy Zeng Qingping Ai Foce Rada Academy Pofeo cienceum@yahoocn Abtact The cutomay opinion i: electic ave o light ave i enegy, TYang expeiment i the intefeence

### Research and the Approval Process

Reseach and the Appoval Pocess Emeic Heny y Maco Ottaviani z Febuay 2014 Abstact An agent sequentially collects infomation to obtain a pincipal s appoval, such as a phamaceutical company seeking FDA appoval

### Towards Realizing a Low Cost and Highly Available Datacenter Power Infrastructure

Towads Realizing a Low Cost and Highly Available Datacente Powe Infastuctue Siam Govindan, Di Wang, Lydia Chen, Anand Sivasubamaniam, and Bhuvan Ugaonka The Pennsylvania State Univesity. IBM Reseach Zuich

### Software Engineering and Development

I T H E A 67 Softwae Engineeing and Development SOFTWARE DEVELOPMENT PROCESS DYNAMICS MODELING AS STATE MACHINE Leonid Lyubchyk, Vasyl Soloshchuk Abstact: Softwae development pocess modeling is gaining

### Contingent capital with repeated interconversion between debt and equity

Contingent capital with epeated inteconvesion between debt and equity Zhaojun Yang 1, Zhiming Zhao School of Finance and Statistics, Hunan Univesity, Changsha 410079, China Abstact We develop a new type

### Cloud Service Reliability: Modeling and Analysis

Cloud Sevice eliability: Modeling and Analysis Yuan-Shun Dai * a c, Bo Yang b, Jack Dongaa a, Gewei Zhang c a Innovative Computing Laboatoy, Depatment of Electical Engineeing & Compute Science, Univesity

### Uncertain Version Control in Open Collaborative Editing of Tree-Structured Documents

Uncetain Vesion Contol in Open Collaboative Editing of Tee-Stuctued Documents M. Lamine Ba Institut Mines Télécom; Télécom PaisTech; LTCI Pais, Fance mouhamadou.ba@ telecom-paistech.f Talel Abdessalem

### Inaugural - Dissertation

Inaugual - Dissetation zu Elangung de Doktowüde de Natuwissenschaftlich-Mathematischen Gesamtfakultät de Rupecht - Kals - Univesität Heidelbeg vogelegt von Diplom-Mathematike Makus Fische aus Belin Datum

### Molecular Dynamics Simulations and Neutron Scattering: Polymer Melt and Solution Dynamics

Molecula Dynamics Simulations and Neuton Scatteing: Polyme Melt and Solution Dynamics Gant D. Smith Depatment of Mateials Science and Engineeing Univesity of Utah Polyme Dynamics and Relaxation Richad

### Conjunctive Query Answering for the Description Logic SHIQ

Jounal of Atificial Intelligence Reseach 31 (2008) 157-204 Submitted 06/07; published 01/08 Conjunctive Quey Answeing fo the Desciption Logic SHIQ Bite Glimm Ian Hoocks Oxfod Univesity Computing Laboatoy,

### Real Time Tracking of High Speed Movements in the Context of a Table Tennis Application

Real Time Tacking of High Speed Movements in the Context of a Table Tennis Application Stephan Rusdof Chemnitz Univesity of Technology D-09107, Chemnitz, Gemany +49 371 531 1533 stephan.usdof@infomatik.tu-chemnitz.de

### An Epidemic Model of Mobile Phone Virus

An Epidemic Model of Mobile Phone Vius Hui Zheng, Dong Li, Zhuo Gao 3 Netwok Reseach Cente, Tsinghua Univesity, P. R. China zh@tsinghua.edu.cn School of Compute Science and Technology, Huazhong Univesity

### Adaptive Control of a Production and Maintenance System with Unknown Deterioration and Obsolescence Rates

Int J of Mthemtic Sciences nd Appictions, Vo, No 3, Septembe Copyight Mind Rede Pubictions wwwjounshubcom Adptive Conto of Poduction nd Mintennce System with Unknown Deteiotion nd Obsoescence Rtes Fwzy

### ON THE (Q, R) POLICY IN PRODUCTION-INVENTORY SYSTEMS

ON THE R POLICY IN PRODUCTION-INVENTORY SYSTEMS Saifallah Benjaafa and Joon-Seok Kim Depatment of Mechanical Engineeing Univesity of Minnesota Minneapolis MN 55455 Abstact We conside a poduction-inventoy

### 2.1 Three Dimensional Curves and Surfaces

. Three Dimensional Curves and Surfaces.. Parametric Equation of a Line An line in two- or three-dimensional space can be uniquel specified b a point on the line and a vector parallel to the line. The

### HEALTHCARE INTEGRATION BASED ON CLOUD COMPUTING

U.P.B. Sci. Bull., Seies C, Vol. 77, Iss. 2, 2015 ISSN 2286-3540 HEALTHCARE INTEGRATION BASED ON CLOUD COMPUTING Roxana MARCU 1, Dan POPESCU 2, Iulian DANILĂ 3 A high numbe of infomation systems ae available

### YIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE

YIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE Septembe 1999 Quoted Rate Teasuy Bills [Called Banke's Discount Rate] d = [ P 1 - P 1 P 0 ] * 360 [ N ] d = Bankes discount yield P 1 = face

econsto www.econsto.eu De Open-Access-Publikationsseve de ZBW Leibniz-Infomationszentum Witschaft The Open Access Publication Seve of the ZBW Leibniz Infomation Cente fo Economics Yang, Wei; Feng, Youyi;

### TARGET ESTIMATION IN COLOCATED MIMO RADAR VIA MATRIX COMPLETION. Shunqiao Sun, Athina P. Petropulu and Waheed U. Bajwa

TARGET ESTIMATION IN COLOCATED MIMO RADAR VIA MATRIX COMPLETION Shunqiao Sun, Athina P. Petopulu and Waheed U. Bajwa Depatment of Electical & Compute Engineeing, Rutges, The State Univesity of New Jesey

### METHODOLOGICAL APPROACH TO STRATEGIC PERFORMANCE OPTIMIZATION

ETHODOOGICA APPOACH TO STATEGIC PEFOANCE OPTIIZATION ao Hell * Stjepan Vidačić ** Željo Gaača *** eceived: 4. 07. 2009 Peliminay communication Accepted: 5. 0. 2009 UDC 65.02.4 This pape pesents a matix

### Intertemporal Macroeconomics

Intetempoal Macoeconomics Genot Doppelhofe* May 2009 Fothcoming in J. McCombie and N. Allington (eds.), Cambidge Essays in Applied Economics, Cambidge UP This chapte eviews models of intetempoal choice

### INVESTIGATION OF FLOW INSIDE AN AXIAL-FLOW PUMP OF GV IMP TYPE

1 INVESTIGATION OF FLOW INSIDE AN AXIAL-FLOW PUMP OF GV IMP TYPE ANATOLIY A. YEVTUSHENKO 1, ALEXEY N. KOCHEVSKY 1, NATALYA A. FEDOTOVA 1, ALEXANDER Y. SCHELYAEV 2, VLADIMIR N. KONSHIN 2 1 Depatment of

### Distributed Computing and Big Data: Hadoop and MapReduce

Distibuted Computing and Big Data: Hadoop and Map Bill Keenan, Diecto Tey Heinze, Achitect Thomson Reutes Reseach & Development Agenda R&D Oveview Hadoop and Map Oveview Use Case: Clusteing Legal Documents

### An Efficient Group Key Agreement Protocol for Ad hoc Networks

An Efficient Goup Key Ageement Potocol fo Ad hoc Netwoks Daniel Augot, Raghav haska, Valéie Issany and Daniele Sacchetti INRIA Rocquencout 78153 Le Chesnay Fance {Daniel.Augot, Raghav.haska, Valéie.Issany,

### How to SYSPREP a Windows 7 Pro corporate PC setup so you can image it for use on future PCs

AnswesThatWok TM How to SYSPREP a Windows 7 Po copoate PC setup so you can image it fo use on futue PCs In a copoate envionment most PCs will usually have identical setups, with the same pogams installed

### Review Graph based Online Store Review Spammer Detection

Review Gaph based Online Stoe Review Spamme Detection Guan Wang, Sihong Xie, Bing Liu, Philip S. Yu Univesity of Illinois at Chicago Chicago, USA gwang26@uic.edu sxie6@uic.edu liub@uic.edu psyu@uic.edu

### Electricity transmission network optimization model of supply and demand the case in Taiwan electricity transmission system

Electicity tansmission netwok optimization model of supply and demand the case in Taiwan electicity tansmission system Miao-Sheng Chen a Chien-Liang Wang b,c, Sheng-Chuan Wang d,e a Taichung Banch Gaduate

### Definitions. Optimization of online direct marketing efforts. Test 1: Two Email campaigns. Raw Results. Xavier Drèze André Bonfrer. Lucid.

Definitions Optimization of online diect maketing effots Xavie Dèze Andé Bonfe Lucid Easily undestood; intelligible. Mentally sound; sane o ational. Tanslucent o tanspaent. Limpid Chaacteized by tanspaent

### Hip Hop solutions of the 2N Body problem

Hip Hop solutions of the N Boy poblem Esthe Baabés baabes@ima.ug.es Depatament Infomàtica i Matemàtica Aplicaa, Univesitat e Giona. Josep Maia Cos cos@eupm.upc.es Depatament e Matemàtica Aplicaa III, Univesitat

### SELF-INDUCTANCE AND INDUCTORS

MISN-0-144 SELF-INDUCTANCE AND INDUCTORS SELF-INDUCTANCE AND INDUCTORS by Pete Signell Michigan State Univesity 1. Intoduction.............................................. 1 A 2. Self-Inductance L.........................................

### Improving Network Security Via Cyber-Insurance A Market Analysis

1 Impoving Netwok Secuity Via Cybe-Insuance A Maket Analysis RANJAN PAL, LEANA GOLUBCHIK, KONSTANTINOS PSOUNIS Univesity of Southen Califonia PAN HUI Hong Kong Univesity of Science and Technology Recent

### How many times have you seen something like this?

VOL. 77, NO. 4, OTOR 2004 251 Whee the amea Was KTHRN McL. YRS JMS M. HNL Smith ollege Nothampton, M 01063 jhenle@math.smith.eu How many times have you seen something like this? Then Now Souces: outesy

### Cost/Benefit Analysis of Aquaponic Systems

Cost/Benefit Analysis of Aquaponic Systems Richad Chiang 1 PURPOSE pupose of this pape is to analyse the costs and benefits of aquaponic systems designed fo home use. Howeve, one can easily extapolate