On the Description of Communications Between Software Components with UML

Size: px
Start display at page:

Download "On the Description of Communications Between Software Components with UML"

Transcription

1 On the Description of Communictions Between Softwre Components with UML Zhiwei An Dennis Peters Fculty of Engineering nd Applied Science Memoril University of Newfoundlnd St. John s NL A1B 3X5 Novemer 12, 2003 Astrct For the purpose of nlysis nd verifiction, in softwre design, rchitecture of the softwre system nd communictions etween softwre components should e specified. Unified Modeling Lnguge (UML) is stndrd softwre design nottion tht includes Sequence digrms nd Collortion digrms, which descrie the interction etween ojects. They lso cn e used to descrie communictions etween components. In this pper, we discuss wht should e modeled in the communiction nd how the elements in UML cn e dopted to model the communiction. A formlism of UML design models tht cn e used for design nlysis is lso proposed. 1 Introduction Softwre systems re often composed of severl components ech of which is computtionl entity tht relizes prticulr function. Components interct with ech other y communictions etween them. Documenting communictions is one prt of softwre design nd the design models should e verifile to ensure the correctness of the design. In softwre systems, synchronous nd synchronous communiction could exist. To descrie different types of communictions etween components, severl methodologies hve een proposed. Two kinds of methods re 1) Architecturl Description Lnguges (ADL) [1] nd 2) UML in rchitecture description [3, 4]. The Unified Modeling Lnguge (UML) [6] is stndrd modeling lnguge with rich digrms to model sttic nd dynmic spects of system. Sequence digrms nd collortion digrms re two types of UML digrms widely used in communiction description. In sequence digrm, the horizontl dimension represents different ojects nd the verticl dimension represents time. Ech oject hs lifeline with ctivtion rs. The r egins with the invoction of method nd stops when the method ends. Arrows represent messges trnsmitted etween the ojects. The life line could hve rnch t time point nd the two or more lines could merge t lter time. The rnch mens conditionl rnch or concurrency. Sequence digrms specify time explicitly. In sequence digrm, ojects interct with ech other vi messges. A messge my specify severl different time points such s sending time nd receiving time. One messge links two events nd the order of events is specified. A collortion digrm presents set of roles to e plyed y instnces s well s required reltionships etween them. It lso presents set of messges specifying the interction etween the instnces plying the roles to chieve the desired result. In collortion digrms, messge order is descried y dding numers to rrow lels. 1

2 To verify the UML design models, the ide of model checking [2] is proposed. Typiclly, model checking lgorithm checks properties of system description sed on (finite) stte mchine model with prllel composition. To generte the utomt sed model, sequence digrms should e nlyzed nd trnslted into stte mchines. A sequence digrm descries time explicitly so the timing reltion of the events cn e derived from it. In UML design models for softwre system there re usully severl sequence digrms. Anlysis of ll of these digrms could generte stte mchine sed model for model checking. The rest of this pper is orgnized s follows: In Section 2, we discuss types of communictions etween softwre components nd wht should e modeled in the communiction. Section 3 uses n simplified elevtor exmple to show how to use UML digrms to descrie interctions. In Section 4, we propose one ehvior model of the softwre system nd illustrte how informtion in Sequence digrms could e mpped to the ehvior model. In Section 5, we drw some conclusions. 2 Types of Communictions Communictions etween softwre components re either synchronous or synchronous. The difference etween these two clsses of communictions is tht synchronous communictions involves locking opertions in the communiction. In synchronous communiction, the component is suspended fter the send opertion until it is unlocked y the other prtner in the communiction. In synchronous communiction, nonlocking opertions re used which mens tht the components will proceed without witing for the completion of the communiction. The following clsses of communictions re possile. Shred Vrile A vrile tht cn e ccessed y more thn one component is mens of communiction. The sic opertions on shred vrile re red nd write so mutul exclusion is the min prolem in this type. Asynchronous Messge Pssing (AMP) In this type of communiction, there re two events 1) the sender sends out the messge nd continues running, 2) the receiver receives the messge. If the receiver is ville nd the processes re co-locted, 1 nd 2 hppen t essentilly the sme time nd could e considered s the sme event. If the receiver is not ville, the messge is stored in uffer until the receiver is ville. The sender is not locked t ny time. Synchronous Messge Pssing (SMP) In Synchronous Messge Pssing, the sender cnnot send the messge until the receiver is ville to receive it. There is no uffer in this type of communiction. Procedure Cll In Procedure Cll, there re four events 1) the cller clls n ccess progrm in the cllee, 2) the ccess progrm is invoked, 3) the ccess progrm finishes, nd 4) the cller knows tht the cllee finishes. In Procedure Cll 1 nd 2 hppen t the sme time nd they could e considered s one event. 3 nd 4 re lso the sme event. Between the events of 2 nd 3, the cller is locked. Remote Procedure Cll When there re more thn one process nd process clls function in nother process, this type of communiction is clled Remote Procedure Cll (RPC). The mechnism of RPC is lmost the sme s procedure cll except tht the function in nother process my e unville ecuse tht function is clled y nother component nd it cn not e clled twice t the sme time. Asynchronous communiction nd synchronous communiction hve the similr semntics nd cn e modeled in similr wy. For exmple, synchronous messge pssing is specil cse of synchronous messge pssing without uffer nd synchronous messge pssing etween two components could e modeled s two synchronous messges: from one component to uffer nd then from the uffer to the other component. 2

3 Tle 1: Concepts in Communiction nd UML Communiction Concepts UML Nottions Component Component s Life Running Access Progrm Messges or Clls (Opertions) Messge Nme or Cll Nme Event Oject Lifeline Activtion Br Messge Arrow Arrow Lel Two Ends of n Arrow Two ends of n Activtion Br 3 Description of Communictions in UML The techniques for denoting communiction types in UML re defined in UML 1.4. To descrie communictions with UML, the first step is to mp concepts in communiction to the elements in UML digrm. Tle 1 illustrtes the reltions of UML nottions nd concepts of communiction in this work. Opertions nd events should e distinguished here: opertions hve time durtion nd they re often composed of severl events which re points in time. Some concepts in communiction cnnot e represented y UML nottions. For exmple, the dt stte is not in UML t ll nd control stte my e represented implicitly. After mpping concepts of communictions to elements of UML, we need to model communictions with the semntics of collortion digrms nd sequence digrms. To descrie the whole system, the first step is to use collortion digrms to descrie reltions etween ojects, the second step is to use sequence digrms to descrie interctions. 3.1 Collortion Digrms in Communiction Becuse collortion digrm presents collection of instnces nd their reltionships, we cn use it to descrie the reltions etween components, s illustrted in Figure 1. The rrows etween components represent messges nd clls. Since this digrm only illustrtes the sttic reltions etween components no numer is used in the rrow lel. elevtora:elevtor elevtorb:elevtor crarrived nextstop getfloor getdirection schedulera:scheduler coordintor:coordintor schedulerb:scheduler schedule remove schedule remove crreq destintionrequesta :destintionrequest schedule remove remove schedule crarrived nextstop destintionrequestb :destintionrequest getfloor getdirection destrequest crrequest: crrequest destrequest crrequest Figure 1: Elevtor System in Collortion Digrm 3.2 Sequence Digrms in Communiction A sequence digrms descries severl spects of the communiction. First, it cn descrie the phenomenon of when one ccess progrm is invoked, wht other events could e generted during the run time of the 3

4 ccess progrms. Second, it cn illustrte the mechnism of communiction. When one ccess progrm is invoked, it my send messges to or cll ccess progrms in other components. Messges nd clls re distinguished y different types of rrows. For exmple, Figure 2 shows tht when the ccess progrm schedule is invoked, three opertions, getfloor, getdirection nd nextstop hppen. Figure 3 illustrtes the order of the events in the cse of AMP. destntion RequestA schedulera elevtora crrequest coordintor schedulera schedulerb destrequest schedule getfloor crrequest crreq schdule schdule getdirection nextstop Figure 2: Stimulus in UML, I Figure 3: Stimulus in UML, II Since there re finite numer of ccess progrms in the system nd we cn drw one sequence digrm for ech ccess progrm, the numer of sequence digrms is equl to the numer of ccess progrms nd hence the numer of sequence digrms will not grow too rpidly s the system size increses. Figure 2 nd Figure 3 only illustrte the ehviour when one ccess progrm is invoked. More sequence digrms re needed to completely descrie the communictions etween components, including conflict resolution. Figure 4 illustrtes ll types of communictions discussed in Section 2. In I, procedure cll is illustrted: component P clls n ccess progrm in component Q (opertion ). The ccess progrm in Q is invoked t the sme time s the component P clls it nd P is locked. After the ccess progrm in Q ends, P is unlocked. In II, P clls Q (opertion ) first nd it is locked until the opertion. If Q is unville nd R wnts to cll Q, R is locked nd should wit until the opertion is over. R will e unlocked only fter the opertion d. In III, P sends messge (opertion ) to Q nd P is not locked. If Q is not ville efore it finishes serving the messge form P nd R sends messge to it (opertion ), uffer is used to store the messge nd re-send the messge to Q (opertion c) fter Q is ville. In this type of communiction, no component is locked. In IV, P sends messge to Q (opertion ), R sends messge to Q (opertion ) when Q is not ville nd R is locked, this opertion cn finish only fter Q finishes serving the messge from P. When the opertion ends, R is unlocked nd Q egins to serve the messge from R. In V, red nd write re two sic opertions nd they should oey the rules of mutul exclusion. P Q P Q R P Q uffer R c d c I. Procedure Cll II. Remote Procedure Cll III. Asynchronous Messge Pssing P Q R P vr R P,Q,R re components,, c, d re messges or clls vr is shred vrile c red write red write IV. Synchronous Messge Pssing V. Shred Vrile Figure 4: Types of Communiction in UML 4

5 Figure 4 only illustrtes some sic types of communictions. In relistic system mixtures nd vrints of these communictions exist. In Figure 5, the communiction re AMP. In this exmple, the coordintor cn ccess two messges from two schedulers so we cn drw two lifelines for coordintor. A uffer is necessry when messge cnnot e processed immeditely fter eing sent. schedulera:scheduler coordintor uffer schedulerb:scheduler Figure 5: Communiction Mechnism 4 Anlysis Technique To verify UML design models, we need formlism to ccept ll sequences of events descried y the model. In softwre systems, components re modeled s stte mchines nd most model checking lgorithms ccept utomt sed specifiction s the input, so prllel composition of stte mchines is the model in this reserch work. 4.1 From UML to Stte Mchine Model Sequence digrms descrie the reltive order of events. In communictions, there re severl possile orders of events so the events re not totlly ordered. The est description of the reltionship of events is prtil order. In [5], reltions of messges in Messge Sequence Chrts (MSC) re trnslted into prtil order. Becuse sequence digrms come from MSCs with extension, similr process cn e used to extrct the prtil order from sequence digrms. UML Sequence digrms do not hve stte vriles in them so they do not represent component stte precisely. UML Sttechrts hve the ility to descrie the ehvior of the component ut Module Interfce Specifictions (MIS)[7] mke etter use of strction nd re more menle to mchine processing. A discussion of the process for generting forml ehviour model from component MIS is eyond the scope of this pper. From the discussion ove, we cn propose tht the prolem of synthesizing concurrent utomt from Sequence digrms cn e divided into two steps. 1)Descrie prtil order reltion in sequence digrms formlly nd 2)synthesizing concurrent utomt model from the prtil order reltions nd component MIS. 5 Conclusion UML interction digrms hve the ility to descrie the communiction etween softwre components. Collortion digrms descrie the reltions etween components nd sequence digrms descrie two spects of the interction: 1) when one event hppens, wht other events could hppen, nd 2) wht communictions mechnisms represent the communiction types. To verify softwre design, n utomt sed ehvior model could e derived from the sequence digrms nd used for model checking. 5

6 References [1] Roert Allen nd Dvid Grln. A forml sis for rchitecturl connection. ACM Trns. Softwre Eng. nd Methodology, July [2] E. M. Clrk, O. Grumerg, nd D. Peled. Model Checking. MIT Press, [3] Hssn Gom. Designing Concurrent, Distriuted, nd Rel-Time Applictions with UML. Addison- Wesley, [4] Christine Hofmeister, Roert Nord, nd Dilip Soni. Applied Softwre Architecture. Addison-Wesley, [5] Mdhvn Mukund, K. Nryn Kumr, nd Milind Sohoni. Synthesizing distriuted finite-stte systems from MSCs. In Proc. Int l Conf. Concurrency Theory (CONCUR), numer 1877 in Lecture Notes in Computer Science, pges , University Prk, PA, Springer-Verlg. [6] Rtionl Softwre Inc., et l. OMG Unified Modelling Lnguge Specifiction, version 1.5 edition, Mrch [7] Yo Wng. Forml nd strct softwre module specifictions survey. CRL Report 238, Communictions Reserch Lortory, Hmilton, Ontrio, Cnd, Novemer

Dataflow Language Model. DataFlow Models. Applications of Dataflow. Dataflow Languages. Kahn process networks. A Kahn Process (1)

Dataflow Language Model. DataFlow Models. Applications of Dataflow. Dataflow Languages. Kahn process networks. A Kahn Process (1) The slides contin revisited mterils from: Peter Mrwedel, TU Dortmund Lothr Thiele, ETH Zurich Frnk Vhid, University of liforni, Riverside Dtflow Lnguge Model Drsticlly different wy of looking t computtion:

More information

Math Circles Finite Automata Question Sheet 3 (Solutions)

Math Circles Finite Automata Question Sheet 3 (Solutions) Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how

More information

& Y Connected resistors, Light emitting diode.

& Y Connected resistors, Light emitting diode. & Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd

More information

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES

MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion

More information

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12

Sequential Logic (2) Synchronous vs Asynchronous Sequential Circuit. Clock Signal. Synchronous Sequential Circuits. FSM Overview 9/10/12 9//2 Sequentil (2) ENGG5 st Semester, 22 Dr. Hden So Deprtment of Electricl nd Electronic Engineering http://www.eee.hku.hk/~engg5 Snchronous vs Asnchronous Sequentil Circuit This Course snchronous Sequentil

More information

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center Resource Overview Quntile Mesure: Skill or Concept: 300Q Model the concept of ddition for sums to 10. (QT N 36) Model the concept of sutrction using numers less thn or equl to 10. (QT N 37) Write ddition

More information

Digital Design. Sequential Logic Design -- Controllers. Copyright 2007 Frank Vahid

Digital Design. Sequential Logic Design -- Controllers. Copyright 2007 Frank Vahid Digitl Design Sequentil Logic Design -- Controllers Slides to ccompny the tetook Digitl Design, First Edition, y, John Wiley nd Sons Pulishers, 27. http://www.ddvhid.com Copyright 27 Instructors of courses

More information

Multi-beam antennas in a broadband wireless access system

Multi-beam antennas in a broadband wireless access system Multi-em ntenns in rodnd wireless ccess system Ulrik Engström, Mrtin Johnsson, nders Derneryd nd jörn Johnnisson ntenn Reserch Center Ericsson Reserch Ericsson SE-4 84 Mölndl Sweden E-mil: ulrik.engstrom@ericsson.com,

More information

Geometric quantities for polar curves

Geometric quantities for polar curves Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions

More information

Regular languages can be expressed as regular expressions.

Regular languages can be expressed as regular expressions. Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected

More information

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad Hll Ticket No Question Pper Code: AEC009 INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigl, Hyderd - 500 043 MODEL QUESTION PAPER Four Yer B.Tech V Semester End Exmintions, Novemer - 2018 Regultions:

More information

Specifying Data-Flow Requirements for the Automated Composition of Web Services

Specifying Data-Flow Requirements for the Automated Composition of Web Services Specifying Dt-Flow Requirements for the Automted Composition of We Services Annpol Mrconi ITC-Irst - Trento - Itly mrconi@itc.it Mrco Pistore University of Trento - Itly pistore@dit.unitn.it Polo Trverso

More information

Mixed CMOS PTL Adders

Mixed CMOS PTL Adders Anis do XXVI Congresso d SBC WCOMPA l I Workshop de Computção e Aplicções 14 20 de julho de 2006 Cmpo Grnde, MS Mixed CMOS PTL Adders Déor Mott, Reginldo d N. Tvres Engenhri em Sistems Digitis Universidde

More information

Solutions to exercise 1 in ETS052 Computer Communication

Solutions to exercise 1 in ETS052 Computer Communication Solutions to exercise in TS52 Computer Communiction 23 Septemer, 23 If it occupies millisecond = 3 seconds, then second is occupied y 3 = 3 its = kps. kps If it occupies 2 microseconds = 2 6 seconds, then

More information

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):

Kirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR): SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween

More information

Algorithms for Memory Hierarchies Lecture 14

Algorithms for Memory Hierarchies Lecture 14 Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in

More information

CHAPTER 2 LITERATURE STUDY

CHAPTER 2 LITERATURE STUDY CHAPTER LITERATURE STUDY. Introduction Multipliction involves two bsic opertions: the genertion of the prtil products nd their ccumultion. Therefore, there re two possible wys to speed up the multipliction:

More information

(1) Non-linear system

(1) Non-linear system Liner vs. non-liner systems in impednce mesurements I INTRODUCTION Electrochemicl Impednce Spectroscopy (EIS) is n interesting tool devoted to the study of liner systems. However, electrochemicl systems

More information

Translate and Classify Conic Sections

Translate and Classify Conic Sections TEKS 9.6 A.5.A, A.5.B, A.5.D, A.5.E Trnslte nd Clssif Conic Sections Before You grphed nd wrote equtions of conic sections. Now You will trnslte conic sections. Wh? So ou cn model motion, s in E. 49. Ke

More information

Student Book SERIES. Fractions. Name

Student Book SERIES. Fractions. Name D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types

More information

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC

ABB STOTZ-KONTAKT. ABB i-bus EIB Current Module SM/S Intelligent Installation Systems. User Manual SM/S In = 16 A AC Un = 230 V AC User Mnul ntelligent nstlltion Systems A B 1 2 3 4 5 6 7 8 30 ma 30 ma n = AC Un = 230 V AC 30 ma 9 10 11 12 C ABB STOTZ-KONTAKT Appliction Softwre Current Vlue Threshold/1 Contents Pge 1 Device Chrcteristics...

More information

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week

Homework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3

More information

Synchronous Generator Line Synchronization

Synchronous Generator Line Synchronization Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected

More information

Experiment 8 Series DC Motor (II)

Experiment 8 Series DC Motor (II) Ojectives To control the speed of loded series dc motor y chnging rmture voltge. To control the speed of loded series dc motor y dding resistnce in prllel with the rmture circuit. To control the speed

More information

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates

CS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the

More information

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES

CHAPTER 3 AMPLIFIER DESIGN TECHNIQUES CHAPTER 3 AMPLIFIER DEIGN TECHNIQUE 3.0 Introduction olid-stte microwve mplifiers ply n importnt role in communiction where it hs different pplictions, including low noise, high gin, nd high power mplifiers.

More information

SOLVING TRIANGLES USING THE SINE AND COSINE RULES

SOLVING TRIANGLES USING THE SINE AND COSINE RULES Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES

More information

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005 CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN SPRING 2005 EXPERIMENT 1 FUNDAMENTALS 1. GOALS : Lern how to develop cr lrm digitl circuit during which the following re introduced : CS2204 l fundmentls, nd

More information

A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE

A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE A COMPARISON OF CIRCUIT IMPLEMENTATIONS FROM A SECURITY PERSPECTIVE Mster Thesis Division of Electronic Devices Deprtment of Electricl Engineering Linköping University y Timmy Sundström LITH-ISY-EX--05/3698--SE

More information

Student Book SERIES. Patterns and Algebra. Name

Student Book SERIES. Patterns and Algebra. Name E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing

More information

Service Composition and Synthesis The Roman Model

Service Composition and Synthesis The Roman Model Service Composition nd Synthesis The Romn Model Giuseppe De Gicomo SAPIENZA Università di Rom, Itly Joint work with Dniel Berrdi, Mssimilino de Leoni, Diego Clvnese, Fhim Cheikh, Rick Hull, Murizio Lenzerini,

More information

Available online at ScienceDirect. Procedia Engineering 89 (2014 )

Available online at   ScienceDirect. Procedia Engineering 89 (2014 ) Aville online t www.sciencedirect.com ScienceDirect Procedi Engineering 89 (2014 ) 411 417 16th Conference on Wter Distriution System Anlysis, WDSA 2014 A New Indictor for Rel-Time Lek Detection in Wter

More information

Asynchronous Data-Driven Circuit Synthesis

Asynchronous Data-Driven Circuit Synthesis Asynchronous Dt-Driven Circuit Synthesis Sm Tylor, Doug Edwrds, Luis A Pln, Senior Memer, IEEE nd Luis A. Trzon D., Student Memer, IEEE Astrct A method is descried for synthesising synchronous circuits

More information

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type)

Discontinued AN6262N, AN6263N. (planed maintenance type, maintenance type, planed discontinued typed, discontinued type) ICs for Cssette, Cssette Deck ANN, ANN Puse Detection s of Rdio Cssette, Cssette Deck Overview The ANN nd the ANN re the puse detection integrted circuits which select the progrm on the cssette tpe. In

More information

Implementation of Different Architectures of Forward 4x4 Integer DCT For H.264/AVC Encoder

Implementation of Different Architectures of Forward 4x4 Integer DCT For H.264/AVC Encoder Implementtion of Different Architectures of Forwrd 4x4 Integer DCT For H.64/AVC Encoder Bunji Antoinette Ringnyu, Ali Tngel, Emre Krulut 3 Koceli University, Institute of Science nd Technology, Koceli,

More information

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008

CS2204 DIGITAL LOGIC & STATE MACHINE DESIGN fall 2008 CS224 DIGITAL LOGIC & STATE MACHINE DESIGN fll 28 STAND ALONE XILINX PROJECT 2-TO- MULTIPLEXER. Gols : Lern how to develop stnd lone 2-to- multiplexer () Xilinx project during which the following re introduced

More information

arxiv: v1 [cs.cc] 29 Mar 2012

arxiv: v1 [cs.cc] 29 Mar 2012 Solving Mhjong Solitire ords with peeking Michiel de Bondt rxiv:1203.6559v1 [cs.cc] 29 Mr 2012 Decemer 22, 2013 Astrct We first prove tht solving Mhjong Solitire ords with peeking is NPcomplete, even if

More information

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator)

Three-Phase Synchronous Machines The synchronous machine can be used to operate as: 1. Synchronous motors 2. Synchronous generators (Alternator) Three-Phse Synchronous Mchines The synchronous mchine cn be used to operte s: 1. Synchronous motors 2. Synchronous genertors (Alterntor) Synchronous genertor is lso referred to s lterntor since it genertes

More information

Analysis of circuits containing active elements by using modified T - graphs

Analysis of circuits containing active elements by using modified T - graphs Anlsis of circuits contining ctive elements using modified T - grphs DALBO BOLEK *) nd EA BOLKOA**) Deprtment of Telecommunictions *) dioelectronics **) Brno Universit of Technolog Purknov 8, 6 Brno CECH

More information

Open Access A Novel Parallel Current-sharing Control Method of Switch Power Supply

Open Access A Novel Parallel Current-sharing Control Method of Switch Power Supply Send Orders for Reprints to reprints@enthmscience.e 170 The Open Electricl & Electronic Engineering Journl, 2014, 8, 170-177 Open Access A Novel Prllel Current-shring Control Method of Switch Power Supply

More information

Proceedings of Meetings on Acoustics

Proceedings of Meetings on Acoustics Proceedings of Meetings on Acoustics Volume 19, 2013 http://cousticlsociety.org/ ICA 2013 Montrel Montrel, Cnd 2-7 June 2013 Signl Processing in Acoustics Session 4SP: Sensor Arry Bemforming nd Its Applictions

More information

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Algebra Practice. Dr. Barbara Sandall, Ed.D., and Travis Olson, M.S.

Algebra Practice. Dr. Barbara Sandall, Ed.D., and Travis Olson, M.S. By Dr. Brr Sndll, Ed.D., Dr. Melfried Olson, Ed.D., nd Trvis Olson, M.S. COPYRIGHT 2006 Mrk Twin Medi, Inc. ISBN 978-1-58037-754-6 Printing No. 404042-EB Mrk Twin Medi, Inc., Pulishers Distriuted y Crson-Dellos

More information

1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or

1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or Chpter 3 Deciml Numers Do you know wht DECIMAL is? In chpter, we delt with units, s, 0 s nd 00 s. When you tke single unit nd divide it into (or 0 or 00) its, wht we then hve re deciml frctions of whole

More information

The Discussion of this exercise covers the following points:

The Discussion of this exercise covers the following points: Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI

More information

Use of compiler optimization of software bypassing as a method to improve energy efficiency of exposed data path architectures

Use of compiler optimization of software bypassing as a method to improve energy efficiency of exposed data path architectures Guzm et l. EURASIP Journl on Emedded Systems 213, 213:9 RESEARCH Open Access Use of compiler optimiztion of softwre ypssing s method to improve energy efficiency of exposed dt pth rchitectures Vldimír

More information

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin

METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or

More information

Patterns and Relationships

Patterns and Relationships Series Techer Ptterns nd Reltionships opyright 009 3P Lerning. All rights reserved. First edition printed 009 in Austrli. A ctlogue record for this ook is ville from 3P Lerning Ltd. ISBN 978-1-91860-3-4

More information

A Development of Earthing-Resistance-Estimation Instrument

A Development of Earthing-Resistance-Estimation Instrument A Development of Erthing-Resistnce-Estimtion Instrument HITOSHI KIJIMA Abstrct: - Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin

More information

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009

University of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009 Problem 1: Using DC Mchine University o North Crolin-Chrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:

More information

FOMA M702iG Manual for Data Communication

FOMA M702iG Manual for Data Communication FOMA M702iG Mnul for Dt Communiction Dt Communictions... 1 Before Using... 2 Prepring for Dt Communiction... 3 Instlling the Communiction Configurtion Files (Drivers)... 4 Connecting the FOMA Hndset nd

More information

(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ

(1) Primary Trigonometric Ratios (SOH CAH TOA): Given a right triangle OPQ with acute angle, we have the following trig ratios: ADJ Tringles nd Trigonometry Prepred y: S diyy Hendrikson Nme: Dte: Suppose we were sked to solve the following tringles: Notie tht eh tringle hs missing informtion, whih inludes side lengths nd ngles. When

More information

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

Design and implementation of a high-speed bit-serial SFQ adder based on the binary decision diagram

Design and implementation of a high-speed bit-serial SFQ adder based on the binary decision diagram INSTITUTE OFPHYSICS PUBLISHING Supercond. Sci. Technol. 16 (23) 1497 152 SUPERCONDUCTORSCIENCE AND TECHNOLOGY PII: S953-248(3)67111-3 Design nd implementtion of high-speed it-seril SFQ dder sed on the

More information

ROBOTIC SYSTEMS FOR SURGICAL APPLICATIONS

ROBOTIC SYSTEMS FOR SURGICAL APPLICATIONS Proceedings of the Interntionl Conference on Mnufcturing Systems ICMS Vol. 4, 2009, ISSN 1842-3183 University POLITEHNICA of Buchrest, Mchine nd Mnufcturing Systems Deprtment Buchrest, Romni ROBOTIC SYSTEMS

More information

Operation Manual. Addendum. Embroidery Machine. Product Code: 884-T13

Operation Manual. Addendum. Embroidery Machine. Product Code: 884-T13 Emroidery Mchine Opertion Mnul Addendum Product Code: 884-T13 Be sure to red this document efore using the mchine. We recommend tht you keep this document nery for future reference. ABOUT THIS MANUAL ABOUT

More information

Direct Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.

Direct Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28. P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices

More information

mac profile Configuration Guide Adobe Photoshop CS/CC Sawgrass Virtuoso SG400/SG800 Macintosh v

mac profile Configuration Guide Adobe Photoshop CS/CC Sawgrass Virtuoso SG400/SG800 Macintosh v mc profile Mcintosh 10.5-10.10 Configurtion Guide Adoe Photoshop CS/CC Swgrss Virtuoso SG400/SG800 v20150427 Configurtion Guide - Photoshop CS/CC Swgrss SG400/800 Before proceeding, ensure the correct

More information

Safety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501.

Safety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501. Sfety Rely Unit The Series Offers Complete Line-up of Compct Units. Four kinds of -mm wide Units re ville: A -pole model, -pole model, nd models with poles nd OFF-dely poles, s well s Two-hnd ler. Simple

More information

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques Simplifying PID Control. Optimizing Plnt Performnce. Performnce Monitoring Fundmentls: Demystifying Performnce Assessment Techniques Roert C. Rice, PhD Rchelle R. Jyringi Dougls J. Cooper, PhD Control

More information

Chapter 2 Literature Review

Chapter 2 Literature Review Chpter 2 Literture Review 2.1 ADDER TOPOLOGIES Mny different dder rchitectures hve een proposed for inry ddition since 1950 s to improve vrious spects of speed, re nd power. Ripple Crry Adder hve the simplest

More information

A New Algorithm to Compute Alternate Paths in Reliable OSPF (ROSPF)

A New Algorithm to Compute Alternate Paths in Reliable OSPF (ROSPF) A New Algorithm to Compute Alternte Pths in Relile OSPF (ROSPF) Jin Pu *, Eric Mnning, Gholmli C. Shoj, Annd Srinivsn ** PANDA Group, Computer Science Deprtment University of Victori Victori, BC, Cnd Astrct

More information

Triangles and parallelograms of equal area in an ellipse

Triangles and parallelograms of equal area in an ellipse 1 Tringles nd prllelogrms of equl re in n ellipse Roert Buonpstore nd Thoms J Osler Mthemtics Deprtment RownUniversity Glssoro, NJ 0808 USA uonp0@studentsrownedu osler@rownedu Introduction In the pper

More information

On the Effectivity of Different Pseudo-Noise and Orthogonal Sequences for Speech Encryption from Correlation Properties

On the Effectivity of Different Pseudo-Noise and Orthogonal Sequences for Speech Encryption from Correlation Properties On the Effectivity of Different Pseudo-Noise nd Orthogonl Sequences for Speech Encryption from Correltion Properties V. Anil Kumr, Ahijit Mitr nd S. R. Mhdev Prsnn Astrct We nlyze the effectivity of different

More information

PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 PRACTICES ELECTROSTATIC DISCHARGE (ESD) TEST PRACTICES

PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 PRACTICES ELECTROSTATIC DISCHARGE (ESD) TEST PRACTICES PREFERRED PRACTICE NO. PT-TE-1414 RELIABILITY PAGE 1 OF 6 ELECTROSTATIC DISCHARGE (ESD) TEST Prctice: Test stellites for the ility to survive the effects of electrosttic dischrges (ESDs) cused y spce chrging

More information

MATH 118 PROBLEM SET 6

MATH 118 PROBLEM SET 6 MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the

More information

To provide data transmission in indoor

To provide data transmission in indoor Hittite Journl of Science nd Engineering, 2018, 5 (1) 25-29 ISSN NUMBER: 2148-4171 DOI: 10.17350/HJSE19030000074 A New Demodultor For Inverse Pulse Position Modultion Technique Mehmet Sönmez Osmniye Korkut

More information

EY-AM 300: novanet BACnet application master, modunet300

EY-AM 300: novanet BACnet application master, modunet300 Product dt sheet 96.010 EY-AM 300: novnet BACnet ppliction mster, modunet300 How energy efficiency is improved Open communiction for interoperle opertion of the entire optimised plnt. Fetures Prt of the

More information

ABOUT THIS MANUAL ABOUT THIS MANUAL

ABOUT THIS MANUAL ABOUT THIS MANUAL ABOUT THIS MANUAL ABOUT THIS MANUAL This mnul provides detils on IQ Designer, which is ville with the upgrde. Mke sure tht the mchine hs een upgrded to the most recent version. When you find this icon

More information

EE Controls Lab #2: Implementing State-Transition Logic on a PLC

EE Controls Lab #2: Implementing State-Transition Logic on a PLC Objective: EE 44 - Controls Lb #2: Implementing Stte-rnsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre

More information

Area-Time Efficient Digit-Serial-Serial Two s Complement Multiplier

Area-Time Efficient Digit-Serial-Serial Two s Complement Multiplier Are-Time Efficient Digit-Seril-Seril Two s Complement Multiplier Essm Elsyed nd Htem M. El-Boghddi Computer Engineering Deprtment, Ciro University, Egypt Astrct - Multipliction is n importnt primitive

More information

Color gamut reduction techniques for printing with custom inks

Color gamut reduction techniques for printing with custom inks Color gmut reduction techniques for printing with custom inks Sylvin M. CHOSSON *, Roger D. HERSCH * Ecole Polytechnique Fédérle de usnne (EPF) STRCT Printing with custom inks is of interest oth for rtistic

More information

A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Radio Networks

A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Radio Networks Globecom 04 - Wireless Networking Symposium A Slot-Asynchronous MAC Protocol Design for Blind Rendezvous in Cognitive Rdio Networks Xingy Liu nd Jing Xie Deprtment of Electricl nd Computer Engineering

More information

Aquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;

Aquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed; Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with

More information

Network Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM

Network Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem

More information

Misty. Sudnow Dot Songs

Misty. Sudnow Dot Songs Sudnow Dot Songs isty T The Dot Song is nottionl system tht depicts voiced chords in wy where the non-music reder cn find these firly redily. But the Dot Song is not intended be red, not s sight reder

More information

Lecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation

Lecture 16: Four Quadrant operation of DC Drive (or) TYPE E Four Quadrant chopper Fed Drive: Operation Lecture 16: Four Qudrnt opertion of DC Drive (or) TYPE E Four Qudrnt chopper Fed Drive: Opertion The rmture current I is either positive or negtive (flow in to or wy from rmture) the rmture voltge is lso

More information

Spiral Tilings with C-curves

Spiral Tilings with C-curves Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through

More information

Synchronous Machine Parameter Measurement

Synchronous Machine Parameter Measurement Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions

More information

Network-coded Cooperation for Multi-unicast with Non-Ideal Source-Relay Channels

Network-coded Cooperation for Multi-unicast with Non-Ideal Source-Relay Channels This full text pper ws peer reviewed t the direction of IEEE Communictions Society suject mtter experts for puliction in the IEEE ICC 2010 proceedings Network-coded Coopertion for Multi-unicst with Non-Idel

More information

S1 Only VEOG HEOG. S2 Only. S1 and S2. Computer. Subject. Computer

S1 Only VEOG HEOG. S2 Only. S1 and S2. Computer. Subject. Computer The Eects of Eye Trcking in VR Helmet on EEG Recordings Jessic D. Byliss nd Dn H. Bllrd The University of Rochester Computer Science Deprtment Rochester, New York 14627 Technicl Report 685 My 1998 Astrct

More information

Efficient and Resilient Key Discovery based on Pseudo-Random Key Pre-Deployment

Efficient and Resilient Key Discovery based on Pseudo-Random Key Pre-Deployment Efficient nd Resilient Key Discovery sed on Pseudo-Rndom Key Pre-Deployment p. 1 Efficient nd Resilient Key Discovery sed on Pseudo-Rndom Key Pre-Deployment Roerto Di Pietro, Luigi V. Mncini, nd Alessndro

More information

Buletinul Ştiinţific al Universităţii POLITEHNICA din Timişoara. Seria HIDROTEHNICA TRANSACTIONS on HYDROTECHNICS

Buletinul Ştiinţific al Universităţii POLITEHNICA din Timişoara. Seria HIDROTEHNICA TRANSACTIONS on HYDROTECHNICS Buletinul Ştiinţific l Universităţii POLITEHNICA din Timişor Seri HIDROTEHNICA TRANSACTIONS on HYDROTECHNICS Tom 58(72), Fscicol 1, 2013 Mens of Representing the Pluming Instlltions Studied to Building

More information

PROGRAMMING MANUAL MTMA/01 MTMV/01 FB00329-EN

PROGRAMMING MANUAL MTMA/01 MTMV/01 FB00329-EN RMMING MNUL MTM/01 MTMV/01 FB00329-EN Generl precutions Red the instructions crefully efore eginning the instlltion nd crry out the ctions s specified y the mnufcturer. The instlltion, progrmming, commissioning

More information

Analysis of Coding-aware MAC Protocols based on Reverse Direction Protocol for IEEE based Wireless Networks using Network Coding*

Analysis of Coding-aware MAC Protocols based on Reverse Direction Protocol for IEEE based Wireless Networks using Network Coding* Anlysis of oding-wre MA Protocols sed on Reverse irection Protocol for IEEE 8.-sed Wireless Networks using Network oding* Rul Plcios, Htegereil Kssye Hile, Jesus Alonso-Zrte nd Frizio Grnelli {plciostrujillo,

More information

Section 6.1 Law of Sines. Notes. Oblique Triangles - triangles that have no right angles. A c. A is acute. A is obtuse

Section 6.1 Law of Sines. Notes. Oblique Triangles - triangles that have no right angles. A c. A is acute. A is obtuse Setion 6.1 Lw of Sines Notes. Olique Tringles - tringles tht hve no right ngles h is ute h is otuse Lw of Sines - If is tringle with sides,, nd, then sin = sin = sin or sin = sin = sin The miguous se (SS)

More information

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel

Interference Cancellation Method without Feedback Amount for Three Users Interference Channel Open Access Librry Journl 07, Volume, e57 ISSN Online: -97 ISSN Print: -9705 Interference Cncelltion Method without Feedbc Amount for Three Users Interference Chnnel Xini Tin, otin Zhng, Wenie Ji School

More information

Research Article Efficient Integration of Pipelined IP Blocks into Automatically Compiled Datapaths

Research Article Efficient Integration of Pipelined IP Blocks into Automatically Compiled Datapaths Hindwi Pulishing Corportion EURASIP Journl on Emedded Systems Volume 27, Article ID 6573, 9 pges doi:.55/27/6573 Reserch Article Efficient Integrtion of Pipelined IP Blocks into Automticlly Compiled s

More information

A Cluster-based TDMA System for Inter-Vehicle Communications *

A Cluster-based TDMA System for Inter-Vehicle Communications * JOURNAL OF INFORMATION SCIENCE AND ENGINEERING 30, 213-231 (2014) A Cluster-bsed TDMA System for Inter-Vehicle Communictions * Deprtment of Electricl Engineering Ntionl Sun Yt-Sen University Kohsiung,

More information

Y9.ET1.3 Implementation of Secure Energy Management against Cyber/physical Attacks for FREEDM System

Y9.ET1.3 Implementation of Secure Energy Management against Cyber/physical Attacks for FREEDM System Y9.ET1.3 Implementtion of Secure Energy ngement ginst Cyber/physicl Attcks for FREED System Project Leder: Fculty: Students: Dr. Bruce cillin Dr. o-yuen Chow Jie Dun 1. Project Gols Develop resilient cyber-physicl

More information

10.4 AREAS AND LENGTHS IN POLAR COORDINATES

10.4 AREAS AND LENGTHS IN POLAR COORDINATES 65 CHAPTER PARAMETRIC EQUATINS AND PLAR CRDINATES.4 AREAS AND LENGTHS IN PLAR CRDINATES In this section we develop the formul for the re of region whose oundry is given y polr eqution. We need to use the

More information

Study on SLT calibration method of 2-port waveguide DUT

Study on SLT calibration method of 2-port waveguide DUT Interntionl Conference on Advnced Electronic cience nd Technology (AET 206) tudy on LT clibrtion method of 2-port wveguide DUT Wenqing Luo, Anyong Hu, Ki Liu nd Xi Chen chool of Electronics nd Informtion

More information

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations

9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations 54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show

More information

Make Your Math Super Powered

Make Your Math Super Powered Mke Your Mth Super Powered: Use Gmes, Chllenges, nd Puzzles Where s the fun? Lern Mth Workshop model by prticipting in one nd explore fun nocost/low-cost gmes nd puzzles tht you cn esily bring into your

More information

Alternating-Current Circuits

Alternating-Current Circuits chpter 33 Alternting-Current Circuits 33.1 AC Sources 33.2 esistors in n AC Circuit 33.3 Inductors in n AC Circuit 33.4 Cpcitors in n AC Circuit 33.5 The LC Series Circuit 33.6 Power in n AC Circuit 33.7

More information

Intention reconsideration in theory and practice

Intention reconsideration in theory and practice Intention reconsidertion in theory nd prctice Simon Prsons nd Ol Pettersson nd lessndro Sffiotti nd Michel Wooldridge bstrct. utonomous gents operting in complex dynmic environments need the bility to

More information

Information-Coupled Turbo Codes for LTE Systems

Information-Coupled Turbo Codes for LTE Systems Informtion-Coupled Turbo Codes for LTE Systems Lei Yng, Yixun Xie, Xiowei Wu, Jinhong Yun, Xingqing Cheng nd Lei Wn rxiv:709.06774v [cs.it] 20 Sep 207 Abstrct We propose new clss of informtion-coupled

More information

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM

A Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:

More information

MOS Transistors. Silicon Lattice

MOS Transistors. Silicon Lattice rin n Width W chnnel p-type (doped) sustrte MO Trnsistors n Gte Length L O 2 (insultor) ource Conductor (poly) rin rin Gte nmo trnsistor Gte ource pmo trnsistor licon sustrte doped with impurities dding

More information

Design of UHF Fractal Antenna for Localized Near-Field RFID Application

Design of UHF Fractal Antenna for Localized Near-Field RFID Application 1 Design of UHF Frctl Antenn for Loclized Ner-Field RFID Appliction Yonghui To, Erfu Yng, Yxin Dong, nd Gng Wng, Memer, IEEE Astrct In this pper, frctl structure is proposed for loclized ner-field UHF

More information