Synchronising Word Problem for DFAs
|
|
|
- Victoria Bradford
- 6 years ago
- Views:
Transcription
1 Synchronising Word Prolem for DFAs Automt Theory nd Computility Rghunndn M. A. Deprtment of Computer Science nd Automtion Indin Institute of Science, nglore August 26, 2011
2 Tle of Contents 1 Synchroniztion Synchroniztion - Definition nd Exmples Rod Colouring Prolem Rod Colouring Theorem Synchronizing Word Prolem for DFAs Find Synchronising Word 2 Computtion of Sync Words Length of Sync Words Computtion of Sync Words Power Automton Algorithm using the Power Automton Polynomil Time Algorithm 3 Summry References Rghu (IISc) Sync-Word Prolem August / 16
3 Synchroniztion - Definition nd Exmples Definition Bringing system into desired known stte. Bringing group of ojects into the sme stte. Exmples Spceship round the moon Rootics Single root in unknown stte Group of roots in different sttes Prts orienttion Circuit testing Rghu (IISc) Sync-Word Prolem August / 16
4 Rod Colouring Prolem Given directed grph G, colour the edges such tht for every vertex, there re set of insturctions tht led to tht vertex, from every other vertex. Instructions to rech yellow vertex: B-R-R B-R-R B-R-R Imge source: uplod.wikimedi.org/wikipedi/commons /6/69/Rod coloring conjecture.svg Rghu (IISc) Sync-Word Prolem August / 16
5 Rod Colouring Theorem Adler nd Weiss, 1970 (Conjecture) Every finite strongly connected periodic directed grph of uniform out-degree hs synchronizing coloring. O Brien, 1981 Grphs contining cycle of prime length. Kri, 2003 Eulerin digrphs (every vertex hs the sme in-degree nd out-degree) Trhtmn, 2009 Generl cse Rghu (IISc) Sync-Word Prolem August / 16
6 Synchronizing Word Prolem for DFAs Sync Word Given DFA A = (Q, Σ, δ) Find w Σ nd q Q : q Q, δ(q, w) = q 1 2 Exmple For q = 1; w = For q = 2; w =, Rghu (IISc) Sync-Word Prolem August / 16
7 Find Synchronising Word , Rghu (IISc) Sync-Word Prolem August / 16
8 Find Synchronising Word , Synchronising word:, Rghu (IISc) Sync-Word Prolem August / 16
9 Find Synchronising Word Rghu (IISc) Sync-Word Prolem August / 16
10 Find Synchronising Word This utomton cnnot e synchronised. Rghu (IISc) Sync-Word Prolem August / 16
11 Find Synchronising Word - 3 0, 2 1 Rghu (IISc) Sync-Word Prolem August / 16
12 Find Synchronising Word - 3 0, 2 1 Synchronising word: 2 Rghu (IISc) Sync-Word Prolem August / 16
13 Find Synchronising Word ,d 01,c c c d d 11,c 10,d Rghu (IISc) Sync-Word Prolem August / 16
14 Find Synchronising Word ,d 01,c c c d d 11,c 10,d Synchronising word: c Rghu (IISc) Sync-Word Prolem August / 16
15 Length of Sync Words Given synchronising DFA, how long cn its shortest synchronising word e? Cerny, 1964 Fmily of utomt C n whose shortest sync words hve (n 1) 2 letters. Cerny, 1971 Conjecture tht (n 1) 2 is the upper ound for ny synchronising utomton. Klychko, 1987 Upper ound of (n3 n) 6. Rghu (IISc) Sync-Word Prolem August / 16
16 Computtion of Sync Words Questions: Given DFA, determine the shortest sync word, if one exists. Given DFA, determine if it is synchronising. Procedure: Decidle? Polynomil? Rghu (IISc) Sync-Word Prolem August / 16
17 Power Automton 012 0, , 0 Rghu (IISc) Sync-Word Prolem August / 16
18 Algorithm using the Power Automton , 0 Shortest-Sync-Word(A) Construct P(A). Determine shortest pth from Q to ny singleton. If no such pth exists, return FALSE. Else, output the lels long the pth found. Rghu (IISc) Sync-Word Prolem August / 16
19 Algorithm using the Power Automton , 0 Shortest-Sync-Word(A) Construct P(A). Determine shortest pth from Q to ny singleton. If no such pth exists, return FALSE. Else, output the lels long the pth found. Time Complexity: 2 Q Σ Rghu (IISc) Sync-Word Prolem August / 16
20 Polynomil Time Algorithm Theorem (Cerny, 1964) A DFA A is synchronising if nd only if q, q Q, w Σ : δ(q, w) = δ(q, w) Rghu (IISc) Sync-Word Prolem August / 16
21 Polynomil Time Algorithm Theorem (Cerny, 1964) A DFA A is synchronising if nd only if q, q Q, w Σ : δ(q, w) = δ(q, w) Sync-Word(A) Construct suutomton P 2 (A) of P(A). Compute pths from ech qq to singleton. If ll pths exist, then output TRUE. If ny pth does not exist, then output FALSE. Rghu (IISc) Sync-Word Prolem August / 16
22 References I R. L. Adler, B. Weiss, Similrity of utomorphisms of the torus, Memoires of the Americn Mthemticl Society, 98. (1970) H. Jurgensen, Synchroniztion, Informtion nd Computtion 206 (910): , (2008) Rod coloring prolem, coloring prolem Synchronizing word, word A. Trhtmn, The rod coloring prolem, Isrel Journl of Mthemtics 172 (1): 5160 (2009) M. Volkov, Synchronizing Automt nd the Cerny Conjecture, Proc. 2nd Int l. Conf. Lnguge nd Automt Theory nd Applictions (LATA 2008), LNCS, 5196, Springer-Verlg, pp Rghu (IISc) Sync-Word Prolem August / 16
ECE 274 Digital Logic. Digital Design. Datapath Components Registers. Datapath Components Register with Parallel Load
ECE 274 igitl Logic Multifunction Registers igitl esign 4. 4.2 igitl esign Chpter 4: Slides to ccompny the textbook igitl esign, First Edition, by Frnk Vhid, John Wiley nd Sons Publishers, 27. http://www.ddvhid.com
Before Reading. Introduce Everyday Words. Use the following steps to introduce students to Nature Walk.
Nture Wlk Objectives 15 Before Reding Demonstrte understnding of the orgniztion nd bsic fetures of print Recognize nd red grde-pproprite irregulrly spelled words Red on-level text orlly with ccurcy pproprite
Soft Error Derating Computation in Sequential Circuits
Soft Error Derting Computtion in Sequentil Circuits Hossein Asdi Northestern University, ECE Dept. Boston, MA 02115 gsdi@ece.neu.edu Mehdi B. Thoori Northestern University, ECE Dept. Boston, MA 02115 mthoori@ece.neu.edu
LOGICAL FOUNDATION OF MUSIC
LOGICAL FOUNDATION OF MUSIC philosophicl pproch Im Anfng wr die Tt Goethe, Fust CARMINE EMANUELE CELLA cecily@liero.it www.cryptosound.org NATURE OF MUSICAL KNOWLEDGE Musicl knowledge cn e thought s complex
PIRELLI BRANDBOOK 4. IDENTITY DESIGN
PIRELLI BRANDBOOK 4. IDENTITY DESIGN 4.01 LOGOTYPE 4.01 The PIRELLI logotype The logotype is one of the most importnt elements of PIRELLI s visul identity. The logotype consists of the lettering PIRELLI
INPUT CAPTURE WITH ST62 16-BIT AUTO-RELOAD TIMER
APPLICATION NOTE INPUT CAPTURE WITH ST62 -BIT AUTO-RELOAD TIMER by -bit Micro Appliction Tem 1 INTRODUCTION This note presents how to use the ST62 -bit Auto-Relod Timer (ARTimer) to mesure durtions or
Chapter 5. Synchronous Sequential Logic. Outlines
Chpter 5 Synchronous Sequentil Logic Outlines Sequentil Circuits Ltches Flip-Flops Anlysis of Clocke Sequentil Circuits Stte Reuction n Assignment Design Proceure 2 5. Sequentil Circuits Sequentil circuits
LAERSKOOL RANDHART ENGLISH GRADE 5 DEMARCATION FOR EXAM PAPER 2
LAERSKOOL RANDHART ENGLISH GRADE 5 DEMARCATION FOR EXAM PAPER 2 Dte: 15 Octoer 2018 Time: 2 hours Totl: 25 mrks SECTION C: ESSAY (15 MARKS) Write n essy out one of the given topics. Your essy should e
Chapter 12. Synchronous Circuits. Contents
Chapter 12 Synchronous Circuits Contents 12.1 Syntactic definition........................ 149 12.2 Timing analysis: the canonic form............... 151 12.2.1 Canonic form of a synchronous circuit..............
Application Support. Product Information. Omron STI. Support Engineers are available at our USA headquarters from
Omron STI Appliction Support Thnk you for your interest in Omron STI products. Plese contct Omron STI with your ppliction questions. Support Engineers re vilble t our U hedqurters from 4:00.m. until 5:00
Answers to Exercise 3.3 (p. 76)
Answers to Exercise 3.3 (p. 76) First of ll, check to see tht you hve weighted your dtset with the vrible WTCORRCT (see Figure 2.5 on p. 52 for how to do this). Once this hs been done, you then need to
ECE 274 Digital Logic. Digital Design. Sequential Logic Design Controller Design: Laser Timer Example
ECE 274 Digitl Logic Sequentil Logic Design Sequentil Logic Design Process Digitl Design 3.4 3.5 Digitl Design Chpter 3: Sequentil Logic Design -- Controllers Slides to ccompny the tetook Digitl Design,
CPSC 121: Models of Computation Lab #2: Building Circuits
CSC 121: Models of Computti L #2: Building Circuits Ojectives In this l, ou will get more eperience with phsicl logic circuits using The Mgic Bo. You will lso get our first eposure to Logisim, tool for
Safety Relay Unit G9SB
Sfety Rely Unit CSM DS_E_6_1 Ultr Slim Sfety Rely Unit Models of width 17.5 mm vilble with 2 or 3 poles. Models of width 22.5 mm with 3 poles lso vilble. Conforms to EN stndrds. (TÜV pprovl) DIN trck mounting
CPE 200L LABORATORY 2: DIGITAL LOGIC CIRCUITS BREADBOARD IMPLEMENTATION UNIVERSITY OF NEVADA, LAS VEGAS GOALS:
CPE 200L LABORATORY 2: DIGITAL LOGIC CIRCUITS BREADBOARD IMPLEMENTATION DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING UNIVERSITY OF NEVADA, LAS VEGAS GOALS: In this l, the sic logic circuits will e
SeSSION 9. This session is adapted from the work of Dr.Gary O Reilly, UCD. Session 9 Thinking Straight Page 1
G N I K N I THmily TrHeeT FSTRAIG SeSSION 9 This session is dpted from the work of Dr.Gry O Reilly, UCD Session 9 Thinking Stright Pge 1 Lerning Objectives ful thinking tht To look t how we cn spot unhelp
Safety Relay Unit G9SB
Sfety Rely Unit CSM DS_E_4_1 Ultr Slim Sfety Rely Unit Models of width 17.5 mm vilble with 2 or 3 poles. Models of width 22.5 mm with 3 poles lso vilble. Conforms to EN stndrds. (TÜV pprovl) DIN trck mounting
WE SERIES DIRECTIONAL CONTROL VALVES
WE SERIES DIRECTIONL CONTROL VLVES ISO4401 Size 03 ulletin 80340- DESIGNTION PGE Fetures nd Generl Description 3 Specifictions 4 Operting Limits 5 Tle of Contents Performnce Dt 6 Stndrd Models 7-8 Dimensions
Chapter 1: Introduction
Chpter : Introduction Slides to ccompny the textbook, First Edition, by, John Wiley nd Sons Publishers, 7. http://www.ddvhid.com Copyright 7 Instructors of courses requiring Vhid's textbook (published
A Proposed Keystream Generator Based on LFSRs. Adel M. Salman Baghdad College for Economics Sciences
A Proposed Keystrem Genertor Bsed on LFSRs Adel M Slmn Bghdd College for Economics Sciences 1 2 2012 مجلة كلية بغداد للعلوم الاقتصادية الجامعة العدد الرابع و الثلاثون UAbstrct A strem cipher is system
Sequencer devices. Philips Semiconductors Programmable Logic Devices
hilips emiconductors rogrmmle Logic Devices equencer devices INTODUTION Ten yers go, in their serch for strightforwrd solution to complex sequentil prolems, hilips emiconductors originted rogrmmle Logic
Contents. English. English. Your remote control 2
English Contents Your remote control 2 Instlltion Preprtion 3 Connect your computer 4 Switch on 5 Select your enu lnguge 5 Serch for nd Store chnnels Automtic instlltion 7 nul instlltion 8 Reshuffle the
MODELING OF BLOCK-BASED DSP SYSTEMS Dong-Ik Ko and Shuvra S. Bhattacharyya
MODELING OF BLOCK-BASED DSP SYSTEMS Dong-Ik Ko nd Shuvr S. Bhttchryy Deprtment of Electricl nd Computer Engeerg, nd Institute for Advnced Computer Studies University of Mrylnd, College Prk, 20742, USA
SEA SHEET MUSIC. Grace. low voice and piano. Elizabeth Alexander. Seafarer Press
SEA-127-00 - SHEET MUSC Grce low voice nd pino Elizbeth Alexnder n memory of Henry Grce Tenderly low voice nd pino E / E / F/A 4 4 Elizbeth Alexnder 6 E / F /A G7 t's hold peo my ple hed sty up to f ge
Standards Overview (updated 7/31/17) English III Louisiana Student Standards by Collection Assessed on. Teach in Collection(s)
Stndrds Overview (updted 7/31/17) 2017-2018 English III Louisin Student Stndrds y Collection Tech in Collection(s) Stndrd Numer Wording of Stndrd 1 2 3 4 5 6 Assessed on E.O.C. Test RL.1 RL.2 RL.3 RL.4
SEA SHEET MUSIC. Grace. medium voice and piano. Elizabeth Alexander. Seafarer Press
SEA-127-01 - SHEET MUSC Grce medium voice nd pino Elizbeth Alexnder Sefrer Press n memory of Henry Grce medium voice nd pino Tenderly G/ G/ A/C 4 4 Elizbeth Alexnder 6 G/ A /C B7 t's hold peo my ple hed
VISUAL IDENTITY GUIDE
VISUAL IDENTITY GUIDE contents Bsic Section Visul Identity System Bsic Prt Appliction Section Visul Identity System Appliction Prt 1.1 Logo System Design 1.1.1 Stndrd Color Grphics of The Logo 1.1.2 Stndrd
LOGOMANUAL. guidelines how to use Singing Rock logotype. Version 1.5 English. Lukáš Matěja
LOGOMANUAL guidelines how to use Singing Rock logotype In cse of ny questions, contct our grphic designer Lukáš Mtěj +420 775 282 064 luks.mtej@singingrock.cz Version 1.5 English PRIMARY LOGOTYPE Primry
SEA SHEET MUSIC. Grace. high voice and piano. Elizabeth Alexander. Seafarer Press
SA-127-02 - SHT MUSC Grce high voice nd pino lizbeth Alexnder n memory of Henry Grce high voice nd pino Tenderly A/ A/ B/D 4 4 lizbeth Alexnder 6 A/ B /D C 7 t's hold peo my ple hed sty up to f ge ter
Evaluation of the Suitability of Acoustic Characteristics of Electronic Demung to the Original Demung
Indin Journl of Science nd Technology, Vol 8(S7), 122 126, April 2015 ISSN (Print) : 0974-6846 ISSN (Online) : 0974-5645 DOI: 10.17485/ijst/2015/v8iS7/64718 Evlution of the Suitility of Acoustic Chrcteristics
Standard Databases for Recognition of Handwritten Digits, Numerical Strings, Legal Amounts, Letters and Dates in Farsi Language
Stndrd Dtbses for Recognition of Hndwritten, Numericl Strings, Legl Amounts, Letters nd Dtes in Frsi Lnguge Frshid Solimnpour, Jvd Sdri, Ching Y. Suen To cite this version: Frshid Solimnpour, Jvd Sdri,
1 --FORMAT FOR CITATIONS & DOCUMENTATION-- ( ) YOU MUST CITE A SOURCE EVEN IF YOU PUT INFORMATION INTO YOUR OWN WORDS!
1 --FORMAT FOR CITATIONS & DOCUMENTATION-- (2014-2015) YOU MUST CITE A SOURCE EVEN IF YOU PUT INFORMATION INTO YOUR OWN WORDS! -----SEE LAST PAGE FOR SUMMARIES AND PARAPHRASES----- Tle of Contents 1. Source
Unit 10: I don t feel very well
Unit 10: I don t feel very well 10 1 The story: We meet Clire, phrmist, nd Greg, ustomer t the phrmy. Greg initilly goes to the phrmy to get something for hedhe, ut then he flls for Clire nd goes k repetedly
Homework 1. Homework 1: Measure T CK-Q delay
Homework Find the followin for 3nm, 9nm, 65nm nd 45nm, 32nm, 22nm MO technoloies Effective chnnel lenth Equivlent nd physicl oxide thickness upply volte (Vdd) rw the lyout for the followin Flip-Flop (use
ARCHITECTURAL CONSIDERATION OF TOPS-DSP FOR VIDEO PROCESSING. Takao Nishitani. Tokyo Metropolitan University
ARCHITECTURAL CONSIDERATION OF TOPS-DSP FOR VIDEO PROCESSING Tko Nishitni Tokyo Metropolitn University nishitni@eei.metro-u.c.jp ABSTRACT Possible DSP chip rchitecture with Ter-Opertions-Per - Second processing
walking. Rhythm is one P-.bythm is as Rhythm is built into our pitch, possibly even more so. heartbeats, or as fundamental to mu-
Ir melody- is sung without its rhythm, it immeditely loses much of its essence. P-.bythm is s fundmentl to mu- sic s pitch, possibly even more so. Rhythm is built into our bodies s hertbets, or s the motion
Investigation of Digital Signal Processing of High-speed DACs Signals for Settling Time Testing
Universal Journal of Electrical and Electronic Engineering 4(2): 67-72, 2016 DOI: 10.13189/ujeee.2016.040204 http://www.hrpub.org Investigation of Digital Signal Processing of High-speed DACs Signals for
Applications to Transistors
CS/EE1012 INTRODUCTION TO COMPUTER ENGINEERING SPRING 2013 LAYERED COMPUTER DESIGN 1. Introduction CS/EE1012 will study complete computer system, from pplictions to hrdwre. The study will e in systemtic,
artifacts, of thinking, feeling, believing, valuing and acting.
IOSR Journl of Reserch & Method in Eduction (IOSR-JRME) e-issn: 2320 7388,p-ISSN: 2320 737X Volume 4, Issue 5 Ver. III (Sep-Oct. 204), PP 29-36 A Study of Asin Indin nd Asin Indin Americn Crntic Music
DRAFT. Vocal Music AOS 2 WB 3. Purcell: Music for a While. Section A: Musical contexts. How is this mood achieved through the following?
Purcell: Music for While Section A: Musicl contexts Like the Bch Brndenurg Concerto No. 5 in Workook 1, this song y Henry Purcell ws composed during the Broque er. To understnd the music it is helpful
arxiv: v2 [cs.sd] 13 Dec 2016
![arxiv: v2 [cs.sd] 13 Dec 2016](/thumbs/84/90804470.jpg "arxiv: v2 [cs.sd] 13 Dec 2016")
Towrds computer-ssisted understnding of dynmics in symphonic music rxiv:1612.02198v2 [cs.sd] 13 Dec 2016 Mrten Grchten 1, Crlos Edurdo Cncino-Chcón 2, Thssilo Gdermier 2 nd Gerhrd Widmer 1,2 1 Deprtment
The Official IDENTITY SYSTEM. A Manual Concerning Graphic Standards and Proper Implementation. As developed and established by the
The Officil ISKCON IDENTITY SYSTEM A Mnul Concerning Grphic Stndrds nd Proper Implementtion As developed nd estlished y the COMMUNICATIONS DEPARTMENT of the INTERNATIONAL SOCIETY FOR KRISHNA CONSCIOUSNESS
Mapping Arbitrary Logic Functions into Synchronous Embedded Memories For Area Reduction on FPGAs
Mpping Aritrry Logic Functions into Synchronous Emedded Memories For Are Reduction on FPGAs Gordon R. Chiu, Deshnnd P. Singh, Vlvn Mnohrrjh, nd Stephen D. Brown Toronto Technology Center, Alter Corportion
lookbook Transportation - Airports
Trnsporttion - Airports Trnsporttion - Airports Introduction By using digitl signge for generl informtion, wyfinding, lerts nd dvertising in key loctions, irports cn elevte their brnd imge nd provide experiences
A New Concept of Providing Telemetry Data in Real Time
The Spce Congress Proceedings 1967 (4th) Spce Congress Proceedings Apr 3rd, 12: AM A New Concept of Providing Telemetry Dt in Rel Time John M. Bllock Pn Americn World Airwys, GMRD, Ptrick Air Force Bse,
Corporate Logo Guidelines
Corporte Logo Guidelines The llpy logo Inspirtion The logo is inspired by llpy s commitment to the world of secure nd complete pyment services. The solid circle surrounding the nme represents bullet proof
Big Adventures. Why might you like to have an adventure? What kind of adventures might you enjoy?
UNIT 7Tourism Ledership Sports Big Adventures Lesson One Before you red Why might you like to hve n dventure? Wht kind of dventures might you enjoy? Wht re these people doing? Would you be frid to try?
LCD Data Projector VPL-S500U/S500E/S500M
LCD Dt Projector VPL-S500U/S500E/S500M Sony presents to you... In tody s world it is esy to crete n impctful nd colorful presenttion full of chrts grphics video clips nd nimtions. To deliver these effective
Explosion protected add-on thermostat
Dt Sheet 605051 Pge 1/7 Explosion protected dd-on thermostt ATH-EXx type series Prticulrities 10 A contct rting cn be directly fitted in zone 1, 2, 21 nd 22 optionl -50 C used Control rnges from -20 to
Introduction. APPLICATION NOTE 712 DS80C400 Ethernet Drivers. Jun 06, 2003
Mxim > Design Support > Technicl Documents > Appliction Notes > Microcontrollers > APP 712 Keywords: DS80C400, ethernet drivers, ethernet controller, TCP/IP router, source code, MII, MAC, PHY, ethernet
The wonders of the mind. The way we are. Making a difference. Around the world. Module 1. Module 2. Module 3. Module 4
Module 1 The wonders of the mind Unit Grmmr Voculry Pronuncition 1 Super rins Tense revision: present tense forms Tense revision: pst tense forms 2 Mind over mtter Pssives review Pssive continuous tenses
Contents 2. Notations Used in This Guide 6. Introduction to Your Projector 7. Using Basic Projector Features 28. Setting Up the Projector 15
User's Guide Contents 2 Nottions Used in This Guide 6 Introduction to Your Projector 7 Projector Prts nd Functions... 8 Projector Prts - Front/Side... 8 Projector Prts - Top/Side... 9 Projector Prts -
Chapter 3: Sequential Logic Design -- Controllers
Chpter 3: Sequentil Logic Design -- Controllers Slides to ccompny the textbook, First Edition, by, John Wiley nd Sons Publishers, 27. http://www.ddvhid.com Copyright 27 Instructors of courses requiring
Nice to meet you ENTRY TEST. Greetings and introductions. Countries and nationalities. The verb be. Complete the dialogue with the words in the box.
Cmridge University Press 978-0--697-6 - English in Mind Techer s Resource Pck, Second Edition Srh Ackroyd nd Clire Thcker More informtion Nice to meet you Nme Clss Dte Greetings nd introductions Complete
CSE 101. Algorithm Design and Analysis Miles Jones Office 4208 CSE Building Lecture 9: Greedy
CSE 101 Algorithm Design and Analysis Miles Jones mej016@eng.ucsd.edu Office 4208 CSE Building Lecture 9: Greedy GENERAL PROBLEM SOLVING In general, when you try to solve a problem, you are trying to find
Reproducible music for 3, 4 or 5 octaves handbells or handchimes. by Tammy Waldrop. Contents. Performance Suggestions... 3
eproducible Spring ing! eproducible music for, or octves hndbells or hndchimes by Tmmy Wldrop Contents Performnce Suggestions... The Gtheing... Esily memorized, surround sound, to strt off ny event. L+
Efficient Building Blocks for Reversible Sequential
Effiient Building Bloks for Reversile Sequentil Ciruit Design Siv Kumr Sstry Hri Shym Shroff Sk. Noor Mhmmd V. Kmkoti Reonfigurle nd Intelligent Systems Engineering Group, Deprtment of Computer Siene nd
Engineer To Engineer Note
Engineer To Engineer Note EE-203 Technicl Notes on using Anlog Devices' DSP components nd development tools Contct our technicl support by phone: (800) ANALOG-D or e-mil: dsp.support@nlog.com Or visit
Pitch I. I. Lesson 1 : Staff
Pitch Lesson 1 : Stff n this lesson you will lern bout the five-line stff, pitches nd notes, noteheds, scending nd descending motion, steps nd leps, ledger lines. Music is written on five-line stff: five
Phosphor: Explaining Transitions in the User Interface Using Afterglow Effects
Phosphor: Explining Trnsitions in the User Interfce Using Afterglow Effects Ptrick Budisch, Desney Tn, Mxime Collom, Dn Roins, Ken Hinckley, Mneesh Agrwl, Shengdong Zho, Gonzlo Rmos To cite this version:
Minimizing FPGA Reconfiguration Data at Logic Level
Southern Illinois University Crondle OpenSIUC Conferene Proeedings Deprtment of Eletril nd Computer Engineering 3-2006 Minimizing FPGA Reonfigurtion Dt t Logi Level Krishn Rghurmn Southern Illinois University
Informatique Fondamentale IMA S8
Informatique Fondamentale IMA S8 Cours 1 - Intro + schedule + finite state machines Laure Gonnord http://laure.gonnord.org/pro/teaching/ Laure.Gonnord@polytech-lille.fr Université Lille 1 - Polytech Lille
Contents 2. Notations Used in This Guide 6. Introduction to Your Projector 7. Using Basic Projector Features 29. Setting Up the Projector 16
User's Guide Contents 2 Nottions Used in This Guide 6 Introduction to Your Projector 7 Projector Fetures... 8 Quick nd Esy Setup... 8 Esy Wireless Projection... 8 Flexible Connectivity... 9 Connect with
THE SOLAR NEIGHBORHOOD. XV. DISCOVERY OF NEW HIGH PROPER MOTION STARS WITH 0B4 yr 1 BETWEEN DECLINATIONS 47 AND 00
The Astronomicl Journl, 130:1658 1679, 2005 October # 2005. The Americn Astronomicl Society. All rights reserved. Printed in U.S.A. A THE SOLAR NEIGHBORHOOD. XV. DISCOVERY OF NEW HIGH PROPER MOTION STARS
Operation Manual. Cutting Machine Product Code: 891-Z01
Opertion Mnul Cutting Mchine Product Code: 891-Z01 Be sure to red this document efore using the mchine. We recommend tht you keep this document nery for future reference. TRADEMARKS IMPORTANT: READ BEFORE
Blackheath. Kidbrooke Eltham Falconwood Welling Bexleyheath Barnehurst
Trin times 5 9 December 2018 to 18 My 2019 Lonon to: Drtfor, Grvesen n The Mewy Towns. To Luton Lonon Chring Cross Lonon Wterloo Est Lonon rige Lonon Victori Denmrk Hill Peckhm Rye Nunhe St Pncrs Interntionl
Appendix A. Quarter-Tone Note Names
233 Appendx A Qurter-Tone Note Nmes The followng tble lsts ll possble note nmes, rngng from double flts to double shrps, for ech of the 24 possble ptch-clsses. Enhrmonclly equvlent note nmes pper on the
A.R. ENGINEERING COLLEGE, VILLUPURAM ECE DEPARTMENT
.R. ENGINEERING COLLEGE, VILLUPURM ECE EPRTMENT QUESTION BNK SUB. NME: IGITL ELECTRONICS SUB. COE: EC223 SEM: III BRNCH/YER: ECE/II UNIT-I MINIMIZTION TECHNIQUESN LOGIC GTES PRT- ) efine Minterm & Maxterm.
Segmented Leap-Ahead LFSR Architecture for Uniform Random Number Generator
, pp.233-242 http://dx.doi.org/10.14257/ijseia.2013.7.5.21 Segmented Leap-Ahead LFSR Architecture for Uniform Random Number Generator Je-Hoon Lee 1 and Seong Kun Kim 2 1 Div. of Electronics, Information
Your Summer Holiday Resource Pack: English
Messge Activity to Prents: Sheet The summer holidys re here! To help keep your child entertined, we ve put together Summer Holidy Resource Pck. It s een produced to reduce summer holidy lerning loss nd
Blackheath. Kidbrooke Eltham Falconwood Welling Bexleyheath Barnehurst
Trin times 5 19 My to 14 December 2019 Lonon to: Drtfor, Grvesen n The Mewy Towns To Luton Lonon rige Lonon Victori Denmrk Hill Peckhm Rye Nunhe St Pncrs Interntionl Frringon City Thmeslink Lonon lckfrirs
CSC 373: Algorithm Design and Analysis Lecture 17
CSC 373: Algorithm Design and Analysis Lecture 17 Allan Borodin March 4, 2013 Some materials are from Keven Wayne s slides and MIT Open Courseware spring 2011 course at http://tinyurl.com/bjde5o5. 1 /
9. The Structure of Chanted Ipili Tindi
9. The Structure of Chnted Ipili Tindi Frnces Ingemnn Introduction The Ipili people of the Porger nd Piyl vlleys of Ppu New Guine hve trditionl tles, clled tindi, which my be told either in ordinry spoken
Train times. Monday to Sunday. Stoke-on-Trent. Crewe
Trin times Mony to Suny Services between: Derby Crewe Stoke-on-Trent 5 Vli from 22n July to 7th October 2018 This timetble replces the Est Milns Trins Trin times 5 timetble between the bove tes on this
Contents 2. Notations Used in This Guide 7. Introduction to Your Projector 8. Using Basic Projector Features 34. Setting Up the Projector 17
User's Guide Contents 2 Nottions Used in This Guide 7 Introduction to Your Projector 8 Projector Fetures... 9 Long-life Lser Light Source... 9 Quick nd Esy Setup... 9 Esy Wireless Projection... 9 Projecting
Total Minimal Dominating Signed Graph
International J.Math. Combin. Vol.3 (2010), 11-16 Total Minimal Dominating Signed Graph P.Siva Kota Reddy (Department of Mathematics, Acharya Institute of Technology, Bangalore-560 090, India) S. Vijay
Restricted super line signed graph RL r (S)
Notes on Number Theory and Discrete Mathematics Vol. 19, 2013, No. 4, 86 92 Restricted super line signed graph RL r (S) P. Siva Kota Reddy 1 and U. K. Misra 2 1 Department of Mathematics Siddaganga Institute
ELCT 501: Digital System Design
ELCT 5: Digital System Lecture 8: System Dr. Mohamed Abd El Ghany, Algorithmic State Machine (ASM) For large machines, the designers often use a different form of representation, called the algorithmic
Logic. Andrew Mark Allen March 4, 2012
Logic Andrew Mark Allen - 05370299 March 4, 2012 Abstract NAND gates and inverters were used to construct several different logic gates whose operations were investigate under various inputs. Then the
On the Infinity of Primes of the Form 2x 2 1
On the Infinity of Primes of the Form 2x 2 1 Pingyuan Zhou E-mail:zhoupingyuan49@hotmail.com Abstract In this paper we consider primes of the form 2x 2 1 and discover there is a very great probability
CSEE 6861 CAD of Digital Systems Handout: Lecture #5
SEE 6861 of igital Sstems Handout: Lecture #5 2/18/16 Prof. Steven M. Nowick nowick@cs.columbia.edu epartment of omputer Science (and Elect. Eng.) olumbia Universit New York, NY, US ESPRESSO: dvanced Steps
PRACTICE FINAL EXAM T T. Music Theory II (MUT 1112) w. Name: Instructor:
Music Theory II (MUT 1112) w Nme: Instructor: PRACTICE FINAL EXAM Prt-writing (45 minutes; 40%) Complete the prtil progression below with pproprite chord symbols. (There my be more thn one correct nswer.)
CAN THO UNIVERSITY JOURNAL OF SCIENCE INSTRUCTIONS FOR AUTHORS
CAN THO UNIVERSITY JOURNAL OF SCIENCE INSTRUCTIONS FOR AUTHORS Reserch Articles include Title, Author s nme nd ffilition, Correspondence, Astrct, Introduction, Mterils nd Methods, Results, Discussion,
Reverse Iterative Deepening for Finite-Horizon MDPs with Large Branching Factors
Reverse Itertive Deepening for Finite-Horizon MDPs with Lrge Brnching Fctors Andrey Kolobov Peng Di Musm Dniel S. Weld {kolobov, dipeng, musm, weld}@cs.wshington.edu Dept. of Computer Science nd Engineering
User's Guide. Downloaded from
User's Guide Downloded from www.vndenborre.be Contents 2 Nottions Used in This Guide 6 Connecting to Composite Video Source... 26 Connecting to Externl USB Devices... 27 Introduction to Your Projector
University of Bristol - Explore Bristol Research. Peer reviewed version. Link to published version (if available): /ISCAS.2005.
Wang, D., Canagarajah, CN., & Bull, DR. (2005). S frame design for multiple description video coding. In IEEE International Symposium on Circuits and Systems (ISCAS) Kobe, Japan (Vol. 3, pp. 19 - ). Institute
Contents 2. Notations Used in This Guide 6. Introduction to Your Projector 7. Using Basic Projector Features 29. Setting Up the Projector 16
User's Guide Contents 2 Nottions Used in This Guide 6 Introduction to Your Projector 7 Projector Fetures... 8 Quick nd Esy Setup... 8 Esy Wireless Projection... 8 Flexible Connectivity... 9 Connect with
Contents 2. Notations Used in This Guide 6. Introduction to Your Projector 7. Using Basic Projector Features 30. Setting Up the Projector 17
User's Guide Contents 2 Nottions Used in This Guide 6 Introduction to Your Projector 7 Projector Fetures... 8 Quick nd Esy Setup... 8 Esy Wireless Projection... 8 Flexible Connectivity... 9 Connect with
Power Problems in VLSI Circuit Testing
Power Problems in VLSI Circuit Testing Farhana Rashid and Vishwani D. Agrawal Auburn University Department of Electrical and Computer Engineering 200 Broun Hall, Auburn, AL 36849 USA fzr0001@tigermail.auburn.edu,
1) What is the standard divisor? A) 30.1 B) 903 C) 6.38 D) 6.88 E) 16.74
Sample Exam 2 Name TA Name Be sure to use a #2 pencil. Calculators are allowed, but cell phones or palm pilots are NOT acceptable. MULTIPLE CHOICE. Choose the one alternative that best completes the statement
Negation Switching Equivalence in Signed Graphs
International J.Math. Combin. Vol.3 (2010), 85-90 Negation Switching Equivalence in Signed Graphs P.Siva Kota Reddy (Department of Mathematics, Acharya Institute of Technology, Bangalore-560 090, India)
GRABLINKTM. FullTM. - DualBaseTM. - BaseTM. GRABLINK Full TM. GRABLINK DualBase TM. GRABLINK Base TM
GRLINKTM FullTM - DulseTM - setm Full-Fetured se, Medium nd Full Cmer Link Frme Grbbers GRLINK Full TM GRLINK Dulse TM GRLINK se TM www.euresys.com info@euresys.com Copyright 011 Euresys s.. elgium. Euresys
An Empirical Study on Identification of Strokes and their Significance in Script Identification
An Empirical Study on Identification of Strokes and their Significance in Script Identification Sirisha Badhika *Research Scholar, Computer Science Department, Shri Jagdish Prasad Jhabarmal Tibrewala University,
Analysis of Clocked Sequential Circuits
Analysis of Clocked Sequential Circuits COE 202 Digital Logic Design Dr. Muhamed Mudawar King Fahd University of Petroleum and Minerals Presentation Outline Analysis of Clocked Sequential circuits State
Notations Used in This Guide
User's Guide Nottions Used in This Guide Sfety indictions The documenttion nd the projector use grphicl symbols to show how to use the projector sfely. The indictions nd their mening re s follows. Mke
NAPIER. University School of Engineering. Advanced Communication Systems Module: SE Television Broadcast Signal.
NAPIER. University School of Engineering Television Broadcast Signal. luminance colour channel channel distance sound signal By Klaus Jørgensen Napier No. 04007824 Teacher Ian Mackenzie Abstract Klaus
REDUCING DYNAMIC POWER BY PULSED LATCH AND MULTIPLE PULSE GENERATOR IN CLOCKTREE
Available Online at www.ijcsmc.com International Journal of Computer Science and Mobile Computing A Monthly Journal of Computer Science and Information Technology IJCSMC, Vol. 3, Issue. 5, May 2014, pg.210
400 Series Flat Panel Monitor Arm
1 2 INSTALLATION MANUAL 400 Series Flt Pnel Monitor Arm Rotte Mount Double Pivot P/L USA 1-800-888-8458 1 1x A B C D 1x 75-100mm #8-32 1x 3/32" 2 3 1x 2x 1x 1/8" #10-23/8" Sterile #6-32x1/2" 4 3/16" 2x
A clock is a free-running signal with a cycle time. A clock may be either high or low, and alternates between the two states.
Clocks A clock is a free-running signal with a cycle time. A clock may be either high or low, and alternates between the two states. 1 The length of time the clock is high before changing states is its
Oscillating high-aspect-ratio monolithic silicon nanoneedle array enables efficient delivery of functional bio-macromolecules into living cells
Oscillting high-spect-rtio monolithic silicon nnoneedle rry enles efficient delivery of functionl io-mcromolecules into living cells Disuke Mtsumoto,, Rmchndr Ro Sthuluri, Yoshio Kto, Yron R. Silererg,