Fall 2018 #11 Games and Nimbers. A. Game. 0.5 seconds, 64 megabytes
|
|
- Christian McGee
- 5 years ago
- Views:
Transcription
1 5-95 Fall 08 # Games and Nmbers A. Game 0.5 seconds, 64 megabytes There s a legend n the IT Cty college. A student that faled to answer all questons on the game theory exam s gven one more chance by hs professor. The student has to play a game wth the professor. The game s played on a square feld consstng of n n cells. Intally all cells are empty. On each turn a player chooses and pant an empty cell that has no common sdes wth prevously panted cells. Adjacent corner of panted cells s allowed. On the next turn another player does the same, then the frst one and so on. The player wth no cells to pant on hs turn loses. The professor have chosen the feld sze n and allowed the student to choose to be the frst or the second player n the game. What should the student choose to wn the game? Both players play optmally. 8 The only lne of the contans one nteger n ( n 0 ) the sze of the feld. number, f the player makng the frst turn wns when both players play optmally, otherwse prnt number.
2 B. Industral Nm seconds, 64 megabytes There are n stone quarres n Petrograd. Each quarry owns m dumpers ( n). It s known that the frst dumper of the -th quarry has x stones n t, the second dumper has x + stones n t, the thrd has x +, and the m-th dumper (the last for the -th quarry) has x + m - stones n t. Two olgarchs play a well-known game Nm. Players take turns removng stones from dumpers. On each turn, a player can select any dumper and remove any non-zero amount of stones from t. The player who cannot take a stone loses. Your task s to fnd out whch olgarch wll wn, provded that both of them play optmally. The olgarchs asked you not to reveal ther names. So, let's call the one who takes the frst stone «tolk» and the other one «bolk». The frst lne of the contans one nteger number n ( n 05 ) the amount of quarres. Then there follow n lnes, each of them contans two space-separated ntegers x and m ( x, m 06 ) the amount of stones n the frst dumper of the -th quarry and the number of dumpers at the -th quarry. «tolk» f the olgarch who takes a stone frst wns, and «bolk» otherwse. 3 tolk 4 bolk
3 C. Game of Stones 3 seconds, 56 megabytes Sam has been teachng Jon the Game of Stones to sharpen hs mnd and help hm devse a strategy to fght the whte walkers. The rules of ths game are qute smple: The game starts wth n ples of stones ndexed from to n. The -th ple contans s stones. The players make ther moves alternatvely. A move s consdered as removal of some number of stones from a ple. Removal of 0 stones does not count as a move. The player who s unable to make a move loses. Now Jon beleves that he s ready for battle, but Sam does not thnk so. To prove hs argument, Sam suggested that they play a modfed verson of the game. In ths modfed verson, no move can be made more than once on a ple. For example, f 4 stones are removed from a ple, 4 stones cannot be removed from that ple agan. Sam sets up the game and makes the frst move. Jon beleves that Sam s just tryng to prevent hm from gong to battle. Jon wants to know f he can wn f both play optmally. Frst lne conssts of a sngle nteger n ( n 06 ) the number of ples. Each of next n lnes contans an nteger s ( s 60) the number of stones n -th ple. Prnt a sngle lne contanng "YES" (wthout quotes) f Jon wns, otherwse prnt "NO" (wthout quotes) 5 NO YES In the frst case, Sam removes all the stones and Jon loses. In second case, the followng moves are possble by Sam: In each of these cases, last move can be made by Jon to wn the game as follows:
4 D. Sagheer and Apple Tree seconds, 56 megabytes Sagheer s playng a game wth hs best frend Solman. He brought a tree wth n nodes numbered from to n and rooted at node. The -th node has a apples. Ths tree has a specal property: the lengths of all paths from the root to any leaf have the same party (.e. all paths have even length or all paths have odd length). Sagheer and Solman wll take turns to play. Solman wll make the frst move. The player who can't make a move loses. In each move, the current player wll pck a sngle node, take a non-empty subset of apples from t and do one of the followng two thngs:. eat the apples, f the node s a leaf.. move the apples to one of the chldren, f the node s non-leaf. Before Solman comes to start playng, Sagheer wll make exactly one change to the tree. He wll pck two dfferent nodes u and v and swap the apples of u wth the apples of v. Can you help Sagheer count the number of ways to make the swap (.e. to choose u and v) after whch he wll wn the game f both players play optmally? (u, v) and (v, u) are consdered to be the same par. 5 The frst lne wll contan one nteger n ( n 0 ) the number of nodes n the apple tree. The second lne wll contan n ntegers a, a,..., a ( a 0 ) the number of apples on each node of the tree. The thrd lne wll contan n - ntegers p, p 3,..., p n ( p n) the parent of each node of the tree. Node has parent p (for n). Node s the root of the tree. n It s guaranteed that the descrbes a vald tree, and the lengths of all paths from the root to any leaf wll have the same party. On a sngle lne, prnt the number of dfferent pars of nodes (u, v), u v such that f they start playng after swappng the apples of both nodes, Sagheer wll wn the game. (u, v) and (v, u) are consdered to be the same par. 7
5 In the frst sample, Sagheer can only wn f he swapped node wth node 3. In ths case, both leaves wll have apples. If Solman makes a move n a leaf node, Sagheer can make the same move n the other leaf. If Solman moved some apples from a root to a leaf, Sagheer wll eat those moved apples. Eventually, Solman wll not fnd a move. In the second sample, There s no swap that wll make Sagheer wn the game. Note that Sagheer must make the swap even f he can wn wth the ntal tree.
6 E. Permutaton Game second, 56 megabytes After a long day, Alce and Bob decded to play a lttle game. The game board conssts of cells n a straght lne, numbered from to n, where each cell contans a number a between and n. Furthermore, no two cells contan the same number. A token s placed n one of the cells. They take alternatng turns of movng the token around the board, wth Alce movng frst. The current player can move from cell to cell only f the followng two condtons are satsfed: the number n the new cell j must be strctly larger than the number n the old cell (.e. a j > a ), and the dstance that the token travels durng ths turn must be a multple of the number n the old cell (.e. j mod a = 0). Whoever s unable to make a move, loses. For each possble startng poston, determne who wns f they both play optmally. It can be shown that the game s always fnte,.e. there always s a wnnng strategy for one of the players. The frst lne contans a sngle nteger n ( n 0 5 ) the number of numbers. The second lne contans n ntegers a, a,, a n ( a n). Furthermore, there are no par of ndces such that a a j. Prnt s a strng of n characters, where the -th character represents the outcome of the game f the token s ntally placed n the cell. If Alce wns, then s has to be equal to "A"; otherwse, s has to be equal to "B". = BAAAABAB j n j ABAAAABBBAABAAB In the frst sample, f Bob puts the token on the number (not poston): : Alce can move to any number. She can wn by pckng 7, from whch Bob has no move wns, as Bob has only a move to 4, from whch Alce can move to 8. 3: Alce can only move to 4, after whch Bob wns by movng to 8. 4, 5, or 6: Alce wns by movng to 8. 7, 8: Alce has no move, and hence she loses mmedately. : Alce can move to and. Upon movng to, Bob can wn by movng to. If she chooses nstead, she
7 F. Playng wth Strng seconds, 56 megabytes Two people play the followng strng game. Intally the players have got some strng s. The players move n turns, the player who cannot make a move loses. Before the game began, the strng s wrtten on a pece of paper, one letter per cell. An example of the ntal stuaton at s = "abacaba" A player's move s the sequence of actons:. The player chooses one of the avalable peces of paper wth some strng wrtten on t. Let's denote t s t. Note that ntally, only one pece of paper s avalable.. The player chooses n the strng t = t t... t character n poston ( t ) such that for some postve t nteger l (0 < - l; + l t ) the followng equatons hold: t = t, t = t,..., t = t l + l 3. Player cuts the cell wth the chosen character. As a result of the operaton, he gets three new peces of paper, the frst one wll contan strng tt... t - t, the thrd one contans strng t t... t. + + t, the second one wll contan a strng consstng of a sngle character An example of makng acton ( = 4) wth strng s = «abacaba» Your task s to determne the wnner provded that both players play optmally well. If the frst player wns, fnd the poston of character that s optmal to cut n hs frst move. If there are multple postons, prnt the mnmal possble one. The frst lne contans strng s ( s 5000). It s guaranteed that strng s only contans lowercase Englsh letters. If the second player wns, prnt n the sngle lne "Second" (wthout the quotes). Otherwse, prnt n the frst lne "Frst" (wthout the quotes), and n the second lne prnt the mnmal possble wnnng move nteger ( s ). abacaba Frst abcde Second In the frst sample the frst player has multple wnnng moves. But the mnmum one s to cut the character n poston. In the second sample the frst player has no avalable moves.
Test 2. ECON3161, Game Theory. Tuesday, November 6 th
Test 2 ECON36, Game Theory Tuesday, November 6 th Drectons: Answer each queston completely. If you cannot determne the answer, explanng how you would arrve at the answer may earn you some ponts.. (20 ponts)
More informationDynamic Optimization. Assignment 1. Sasanka Nagavalli January 29, 2013 Robotics Institute Carnegie Mellon University
Dynamc Optmzaton Assgnment 1 Sasanka Nagavall snagaval@andrew.cmu.edu 16-745 January 29, 213 Robotcs Insttute Carnege Mellon Unversty Table of Contents 1. Problem and Approach... 1 2. Optmzaton wthout
More informationproblems palette of David Rock and Mary K. Porter 6. A local musician comes to your school to give a performance
palette of problems Davd Rock and Mary K. Porter 1. If n represents an nteger, whch of the followng expressons yelds the greatest value? n,, n, n, n n. A 60-watt lghtbulb s used for 95 hours before t burns
More informationReview: Our Approach 2. CSC310 Information Theory
CSC30 Informaton Theory Sam Rowes Lecture 3: Provng the Kraft-McMllan Inequaltes September 8, 6 Revew: Our Approach The study of both compresson and transmsson requres that we abstract data and messages
More informationUNIT 11 TWO-PERSON ZERO-SUM GAMES WITH SADDLE POINT
UNIT TWO-PERSON ZERO-SUM GAMES WITH SADDLE POINT Structure. Introducton Obectves. Key Terms Used n Game Theory.3 The Maxmn-Mnmax Prncple.4 Summary.5 Solutons/Answers. INTRODUCTION In Game Theory, the word
More informationOld text. From Through the Looking Glass by Lewis Carroll. Where is the setting of this place? Describe in your own words.
Old text Read ths extract carefully, then answer, n complete sentences, the questons that follow. For some mnutes Alce stood wthout speakng, lookng out n all drectons over the country and a most curous
More informationTo: Professor Avitabile Date: February 4, 2003 From: Mechanical Student Subject: Experiment #1 Numerical Methods Using Excel
To: Professor Avtable Date: February 4, 3 From: Mechancal Student Subject:.3 Experment # Numercal Methods Usng Excel Introducton Mcrosoft Excel s a spreadsheet program that can be used for data analyss,
More informationCalculation of the received voltage due to the radiation from multiple co-frequency sources
Rec. ITU-R SM.1271-0 1 RECOMMENDATION ITU-R SM.1271-0 * EFFICIENT SPECTRUM UTILIZATION USING PROBABILISTIC METHODS Rec. ITU-R SM.1271 (1997) The ITU Radocommuncaton Assembly, consderng a) that communcatons
More informationEMA. Education Maintenance Allowance (EMA) Financial Details Form 2017/18. student finance wales cyllid myfyrwyr cymru.
student fnance wales cylld myfyrwyr cymru Educaton Mantenance Allowance (EMA) Fnancal Detals Form 2017/18 sound advce on STUDENT FINANCE EMA Educaton Mantenance Allowance (EMA) 2017/18 /A How to complete
More informationSTAR POWER BOM/BOQ SETTING IDEA 1 - TWIST & SHOUT
Below are two deas for settng your blocks together. Of course, there are dozens more! Take your blocks out to play, and decde on a settng that makes you smle! STAR POWER BOM/BOQ SETTING IDEA 1 - TWIST
More informationNATIONAL RADIO ASTRONOMY OBSERVATORY Green Bank, West Virginia SPECTRAL PROCESSOR MEMO NO. 25. MEMORANDUM February 13, 1985
NATONAL RADO ASTRONOMY OBSERVATORY Green Bank, West Vrgna SPECTRAL PROCESSOR MEMO NO. 25 MEMORANDUM February 13, 1985 To: Spectral Processor Group From: R. Fsher Subj: Some Experments wth an nteger FFT
More informationIntroduction to Coalescent Models. Biostatistics 666 Lecture 4
Introducton to Coalescent Models Bostatstcs 666 Lecture 4 Last Lecture Lnkage Equlbrum Expected state for dstant markers Lnkage Dsequlbrum Assocaton between neghborng alleles Expected to decrease wth dstance
More informationALICE AND BOB GO TO DINNER: A VARIATION ON MÉNAGE
#A72 INTEGERS 6 (26) ALIE AND BOB GO TO DINNER: A VARIATION ON MÉNAGE Vladmr Shevelev Department of Mathematcs, Ben-Guron Unversty of the Negev, Beer-Sheva, Israel shevelev@bgu.ac.l Peter J.. Moses Moparmatc
More informationUltimate X Bonus Streak Analysis
Ultmate X Bonus Streak Analyss Gary J. Koehler John B. Hgdon Emnent Scholar, Emertus Department of Informaton Systems and Operatons Management, 35 BUS, The Warrngton College of Busness, Unversty of Florda,
More informationIntroduction to Coalescent Models. Biostatistics 666
Introducton to Coalescent Models Bostatstcs 666 Prevously Allele frequences Hardy Wenberg Equlbrum Lnkage Equlbrum Expected state for dstant markers Lnkage Dsequlbrum Assocaton between neghborng alleles
More informationPREVIEW. Phonics Matching Games. Created by Top Notch Teaching Card Games
Phoncs Matchng Games Card Games and Word Buldng for the sounds: // /ch/ /ck/ /th/ Created by Top Notch Teachng www.topnotchteachng.com Instructons These phoncs games are desgned to be used n conjuncton
More informationN( E) ( ) That is, if the outcomes in sample space S are equally likely, then ( )
Stat 400, secton 2.2 Axoms, Interpretatons and Propertes of Probablty notes by Tm Plachowsk In secton 2., we constructed sample spaces by askng, What could happen? Now, n secton 2.2, we begn askng and
More informationPriority based Dynamic Multiple Robot Path Planning
2nd Internatonal Conference on Autonomous obots and Agents Prorty based Dynamc Multple obot Path Plannng Abstract Taxong Zheng Department of Automaton Chongqng Unversty of Post and Telecommuncaton, Chna
More informationGeneralized Incomplete Trojan-Type Designs with Unequal Cell Sizes
Internatonal Journal of Theoretcal & Appled Scences 6(1): 50-54(2014) ISSN No. (Prnt): 0975-1718 ISSN No. (Onlne): 2249-3247 Generalzed Incomplete Trojan-Type Desgns wth Unequal Cell Szes Cn Varghese,
More informationProblem Set 7: Games Spring 2018
Problem Set 7: Games 15-95 Spring 018 A. Win or Freeze time limit per test: seconds : standard : standard You can't possibly imagine how cold our friends are this winter in Nvodsk! Two of them play the
More informationNetworks. Backpropagation. Backpropagation. Introduction to. Backpropagation Network training. Backpropagation Learning Details 1.04.
Networs Introducton to - In 1986 a method for learnng n mult-layer wor,, was nvented by Rumelhart Paper Why are what and where processed by separate cortcal vsual systems? - The algorthm s a sensble approach
More informationPassive Filters. References: Barbow (pp ), Hayes & Horowitz (pp 32-60), Rizzoni (Chap. 6)
Passve Flters eferences: Barbow (pp 6575), Hayes & Horowtz (pp 360), zzon (Chap. 6) Frequencyselectve or flter crcuts pass to the output only those nput sgnals that are n a desred range of frequences (called
More informationWild Animals. Lesson at a Glance. Animals. Lesson Objectives. Lesson Plan. Bible Story Text. Bible Truth. Lesson 3
Lesson at a Glance Wld Lesson Objectves The chldren wll dentfy wld anmals. The chldren wll state that God made anmals. The chldren wll thank God for makng wld anmals. Bble Story Text Geness 1:24-25 Bble
More informationDigital Transmission
Dgtal Transmsson Most modern communcaton systems are dgtal, meanng that the transmtted normaton sgnal carres bts and symbols rather than an analog sgnal. The eect o C/N rato ncrease or decrease on dgtal
More informationPrevention of Sequential Message Loss in CAN Systems
Preventon of Sequental Message Loss n CAN Systems Shengbng Jang Electrcal & Controls Integraton Lab GM R&D Center, MC: 480-106-390 30500 Mound Road, Warren, MI 48090 shengbng.jang@gm.com Ratnesh Kumar
More informationTile Values of Information in Some Nonzero Sum Games
lnt. ournal of Game Theory, Vot. 6, ssue 4, page 221-229. Physca- Verlag, Venna. Tle Values of Informaton n Some Nonzero Sum Games By P. Levne, Pars I ), and ZP, Ponssard, Pars 2 ) Abstract: The paper
More informationMachine Learning in Production Systems Design Using Genetic Algorithms
Internatonal Journal of Computatonal Intellgence Volume 4 Number 1 achne Learnng n Producton Systems Desgn Usng Genetc Algorthms Abu Quder Jaber, Yamamoto Hdehko and Rzauddn Raml Abstract To create a soluton
More informationMeredith Sinclair s DIY Clothespin Xmas Tree
1.Mer ed t hs nc l a r sdi YCl ot hes p nxma st r ee 2.DI YChr s t ma ss poons 3.DI YChr s t ma sca ndl ecent er p ec e Meredth Snclar s DIY Clothespn Xmas Tree Materals: Clothespns of varous szes, old
More informationThe Byzantine Generals Problem
The Byzantne Generals Problem A paper by: Lesle Lamport, Robert Shostak, and Marshall Pease. Summary by: Roman Kaplan. Every computer system must cope wth computer malfunctons, whereas a malfuncton does
More informationPRO- CRIMPER* III Hand Crimping
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool Assembly 91338-1 408-8377 wth De Assembly 91338-2 22 JUL 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationPRO- CRIMPER* III Hand
PRO- CRIMPER* III Hand Instructon Sheet Crmpng Tool Assembly 58529-1 408-9999 wth De Assembly 58529-2 11 AUG 14 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationPRACTICAL, COMPUTATION EFFICIENT HIGH-ORDER NEURAL NETWORK FOR ROTATION AND SHIFT INVARIANT PATTERN RECOGNITION. Evgeny Artyomov and Orly Yadid-Pecht
68 Internatonal Journal "Informaton Theores & Applcatons" Vol.11 PRACTICAL, COMPUTATION EFFICIENT HIGH-ORDER NEURAL NETWORK FOR ROTATION AND SHIFT INVARIANT PATTERN RECOGNITION Evgeny Artyomov and Orly
More informationGraph Method for Solving Switched Capacitors Circuits
Recent Advances n rcuts, ystems, gnal and Telecommuncatons Graph Method for olvng wtched apactors rcuts BHUMIL BRTNÍ Department of lectroncs and Informatcs ollege of Polytechncs Jhlava Tolstého 6, 586
More informationPRO- CRIMPER III Hand Crimping Tool Assembly DESCRIPTION (Figures 1 and 2)
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool Assembly 58495-1 408-9819 Wth De Assembly 58495-2 22 JUL 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationChinese Remainder. Discrete Mathematics Andrei Bulatov
Chnese Remander Introducton Theorem Dscrete Mathematcs Andre Bulatov Dscrete Mathematcs Chnese Remander Theorem 34-2 Prevous Lecture Resdues and arthmetc operatons Caesar cpher Pseudorandom generators
More informationShunt Active Filters (SAF)
EN-TH05-/004 Martt Tuomanen (9) Shunt Actve Flters (SAF) Operaton prncple of a Shunt Actve Flter. Non-lnear loads lke Varable Speed Drves, Unnterrupted Power Supples and all knd of rectfers draw a non-snusodal
More informationA Lower Bound for τ(n) of Any k-perfect Numbers
Pure Mathematcal Scences, Vol. 4, 205, no. 3, 99-03 HIKARI Ltd, www.m-har.com http://dx.do.org/0.2988/pms.205.4923 A Lower Bound for τn of Any -Perfect Numbers Keneth Adran P. Dagal Department of Mathematcs
More informationonlinecomponents.com
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool Assembly 58535-1 wth 408-4021 De Assembly 58535-2 29 JUL 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationWalsh Function Based Synthesis Method of PWM Pattern for Full-Bridge Inverter
Walsh Functon Based Synthess Method of PWM Pattern for Full-Brdge Inverter Sej Kondo and Krt Choesa Nagaoka Unversty of Technology 63-, Kamtomoka-cho, Nagaoka 9-, JAPAN Fax: +8-58-7-95, Phone: +8-58-7-957
More informationSorting signed permutations by reversals, revisited
Journal of Computer and System Scences 70 (2005) 321 341 www.elsever.com/locate/jcss Sortng sgned permutatons by reversals, revsted Ham Kaplan, Elad Verbn School of Computer Scence, Tel Avv Unversty, Tel
More informationHigh Speed ADC Sampling Transients
Hgh Speed ADC Samplng Transents Doug Stuetzle Hgh speed analog to dgtal converters (ADCs) are, at the analog sgnal nterface, track and hold devces. As such, they nclude samplng capactors and samplng swtches.
More informationNetwork Theory. EC / EE / IN. for
Network Theory for / / IN By www.thegateacademy.com Syllabus Syllabus for Networks Network Graphs: Matrces Assocated Wth Graphs: Incdence, Fundamental ut Set and Fundamental rcut Matrces. Soluton Methods:
More informationaperture David Makovoz, 30/01/2006 Version 1.0 Table of Contents
aperture 1 aperture Davd Makovoz, 30/01/2006 Verson 1.0 Table of Contents aperture... 1 1 Overvew... 2 1.1 Input Image Requrements... 2 2 aperture... 2 2.1 Input... 2 2.2 Processng... 4 2.3 Output Table...
More informationPRO- CRIMPER* III Hand Crimping
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool Assembly 58641-1 wth 408-4379 De Assembly 58641-2 18 JUN 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationGuidelines for CCPR and RMO Bilateral Key Comparisons CCPR Working Group on Key Comparison CCPR-G5 October 10 th, 2014
Gudelnes for CCPR and RMO Blateral Key Comparsons CCPR Workng Group on Key Comparson CCPR-G5 October 10 th, 2014 These gudelnes are prepared by CCPR WG-KC and RMO P&R representatves, and approved by CCPR,
More informationA Comparison of Two Equivalent Real Formulations for Complex-Valued Linear Systems Part 2: Results
AMERICAN JOURNAL OF UNDERGRADUATE RESEARCH VOL. 1 NO. () A Comparson of Two Equvalent Real Formulatons for Complex-Valued Lnear Systems Part : Results Abnta Munankarmy and Mchael A. Heroux Department of
More informationPRO- CRIMPER* III Hand
PRO- CRIMPER* III Hand Instructon Sheet Crmpng Tool Assembly 90759-1 408-9962 wth De Assembly 90759-2 03 MAY 11 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More information1. REVIEW 2. DELIVERY SET
power status ON steps DIP test reset ON DIP off modes lght sensor / led sensor speed on sensor 2 speed off on/off delay pause to off REVIEW LED lghtng devce s desgned for automatc lghtng of starway steps
More informationVRT014 User s guide V0.8. Address: Saltoniškių g. 10c, Vilnius LT-08105, Phone: (370-5) , Fax: (370-5) ,
VRT014 User s gude V0.8 Thank you for purchasng our product. We hope ths user-frendly devce wll be helpful n realsng your deas and brngng comfort to your lfe. Please take few mnutes to read ths manual
More informationPRO-CRIMPER* III Hand Crimping Tool Assembly with Die AssemblY
PRO-CRIMPER* III Hand Crmpng Tool Assembly 90758-1 wth De AssemblY 90758-2 Instructon Sheet 408-9938 01 NOV 11 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationFigure 1. DC-DC Boost Converter
EE46, Power Electroncs, DC-DC Boost Converter Verson Oct. 3, 11 Overvew Boost converters make t possble to effcently convert a DC voltage from a lower level to a hgher level. Theory of Operaton Relaton
More informationPRO- CRIMPER III Hand Crimping Tool Assembly INSTALLATION AND REMOVAL OF DIE SET AND LOCATOR ASSEMBLY (Figure 2)
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool Assembly 90547-1 wth 408-9884 De Assembly 90547-2 02 NOV 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationA NSGA-II algorithm to solve a bi-objective optimization of the redundancy allocation problem for series-parallel systems
0 nd Internatonal Conference on Industral Technology and Management (ICITM 0) IPCSIT vol. 49 (0) (0) IACSIT Press, Sngapore DOI: 0.776/IPCSIT.0.V49.8 A NSGA-II algorthm to solve a b-obectve optmzaton of
More informationChapter 1. On-line Choice of On-line Algorithms. Yossi Azar Andrei Z. Broder Mark S. Manasse
Chapter On-lne Choce of On-lne Algorthms Yoss Azar Andre Z. Broder Mark S. Manasse Abstract Let fa ; A 2; ; Amg be a set of on-lne algorthms for a problem P wth nput set I. We assume that P can be represented
More informationThe Complexity of Playing Durak
The Complexty of Playng Durak Édouard Bonnet Insttute for Computer Scence and Control, Hungaran Academy of Scences (MTA SZTAKI), Budapest, Hungary, bonnet.edouard@sztak.mta.hu Abstract Durak s a Russan
More informationA Novel Optimization of the Distance Source Routing (DSR) Protocol for the Mobile Ad Hoc Networks (MANET)
A Novel Optmzaton of the Dstance Source Routng (DSR) Protocol for the Moble Ad Hoc Networs (MANET) Syed S. Rzv 1, Majd A. Jafr, and Khaled Ellethy Computer Scence and Engneerng Department Unversty of Brdgeport
More informationWebinar Series TMIP VISION
Webnar Seres TMIP VISION TMIP provdes techncal support and promotes knowledge and nformaton exchange n the transportaton plannng and modelng communty. DISCLAIMER The vews and opnons expressed durng ths
More informationComparison of Two Measurement Devices I. Fundamental Ideas.
Comparson of Two Measurement Devces I. Fundamental Ideas. ASQ-RS Qualty Conference March 16, 005 Joseph G. Voelkel, COE, RIT Bruce Sskowsk Rechert, Inc. Topcs The Problem, Eample, Mathematcal Model One
More informationMesh Equations. Introduction
Mesh Equatons Introducton The crcuts n ths problem set consst of resstors and ndependent sources. We wll analyze these crcuts by wrtng and solvng a set of mesh equatons. To wrte mesh equatons, we. Express
More informationANNUAL OF NAVIGATION 11/2006
ANNUAL OF NAVIGATION 11/2006 TOMASZ PRACZYK Naval Unversty of Gdyna A FEEDFORWARD LINEAR NEURAL NETWORK WITH HEBBA SELFORGANIZATION IN RADAR IMAGE COMPRESSION ABSTRACT The artcle presents the applcaton
More informationPRO-CRIMPER* III Hand. with Die Assembly OCT 11 Rev C. Pivot Pin. Die Assembly Moving Jaw CONTACT FAMILY SIZE (AWG)
PRO-CRIMPER* III Hand Instructon Sheet Crmpng Tool Assembly 58514-1 408-9973 wth De Assembly 58514-2 12 OCT 11 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More information4.3- Modeling the Diode Forward Characteristic
2/8/2012 3_3 Modelng the ode Forward Characterstcs 1/3 4.3- Modelng the ode Forward Characterstc Readng Assgnment: pp. 179-188 How do we analyze crcuts wth juncton dodes? 2 ways: Exact Solutons ffcult!
More informationPRO- CRIMPER* III Hand Crimping
PRO- CRIMPER* III Hand Crmpng Instructon Sheet Tool 58448-2 408-9357 Wth De 58448-3 10 Mar 11 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually powered hand
More informationOnline Reporting. Online Reporting. A step-by-step guide. Important information for churches, schools and organisations
Onlne Reportng Onlne Reportng A step-by-step gude www.olr.ccl.com Important nformaton for churches, schools and organsatons May 2016 Reportng s a vtal part of beng a lcence holder... Reportng s a requrement
More informationSteps for Starting a WRO Robotics Program
Steps f Startng a WRO Robotcs Program Congratulatons on your decson to start a WRO robotcs program! Whether you are a teacher, parent, coach, an after-school club leader, you ll fnd lots of suppt as you
More informationControl Chart. Control Chart - history. Process in control. Developed in 1920 s. By Dr. Walter A. Shewhart
Control Chart - hstory Control Chart Developed n 920 s By Dr. Walter A. Shewhart 2 Process n control A phenomenon s sad to be controlled when, through the use of past experence, we can predct, at least
More informationEnsemble Evolution of Checkers Players with Knowledge of Opening, Middle and Endgame
Ensemble Evoluton of Checkers Players wth Knowledge of Openng, Mddle and Endgame Kyung-Joong Km and Sung-Bae Cho Department of Computer Scence, Yonse Unversty 134 Shnchon-dong, Sudaemoon-ku, Seoul 120-749
More informationantenna antenna (4.139)
.6.6 The Lmts of Usable Input Levels for LNAs The sgnal voltage level delvered to the nput of an LNA from the antenna may vary n a very wde nterval, from very weak sgnals comparable to the nose level,
More informationMTBF PREDICTION REPORT
MTBF PREDICTION REPORT PRODUCT NAME: BLE112-A-V2 Issued date: 01-23-2015 Rev:1.0 Copyrght@2015 Bluegga Technologes. All rghts reserved. 1 MTBF PREDICTION REPORT... 1 PRODUCT NAME: BLE112-A-V2... 1 1.0
More information1 GSW Multipath Channel Models
In the general case, the moble rado channel s pretty unpleasant: there are a lot of echoes dstortng the receved sgnal, and the mpulse response keeps changng. Fortunately, there are some smplfyng assumptons
More informationPERFORMANCE EVALUATION OF BOOTH AND WALLACE MULTIPLIER USING FIR FILTER. Chirala Engineering College, Chirala.
PERFORMANCE EVALUATION OF BOOTH AND WALLACE MULTIPLIER USING FIR FILTER 1 H. RAGHUNATHA RAO, T. ASHOK KUMAR & 3 N.SURESH BABU 1,&3 Department of Electroncs and Communcaton Engneerng, Chrala Engneerng College,
More informationInteger Programming. P.H.S. Torr Lecture 5. Integer Programming
Integer Programmng P.H.S. Torr Lecture 5 Integer Programmng Outlne Mathematcal programmng paradgm Lnear Programmng Integer Programmng Integer Programmng Eample Unmodularty LP -> IP Theorem Concluson Specal
More informationIEE Electronics Letters, vol 34, no 17, August 1998, pp ESTIMATING STARTING POINT OF CONDUCTION OF CMOS GATES
IEE Electroncs Letters, vol 34, no 17, August 1998, pp. 1622-1624. ESTIMATING STARTING POINT OF CONDUCTION OF CMOS GATES A. Chatzgeorgou, S. Nkolads 1 and I. Tsoukalas Computer Scence Department, 1 Department
More informationSpace Time Equalization-space time codes System Model for STCM
Space Tme Eualzaton-space tme codes System Model for STCM The system under consderaton conssts of ST encoder, fadng channel model wth AWGN, two transmt antennas, one receve antenna, Vterb eualzer wth deal
More information29. Network Functions for Circuits Containing Op Amps
9. Network Functons for Crcuts Contanng Op Amps Introducton Each of the crcuts n ths problem set contans at least one op amp. Also each crcut s represented by a gven network functon. These problems can
More informationPRO- CRIMPER* III Hand
PRO- CRIMPER* III Hand Instructon Sheet Crmpng Tool Assembly 90684-1 408-9934 wth De Assembly 90684-2 09 OCT 09 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationRational Secret Sharing without Broadcast
Ratonal Secret Sharng wthout Broadcast Amjed Shareef, Department of Computer Scence and Engneerng, Indan Insttute of Technology Madras, Chenna, Inda. Emal: amjedshareef@gmal.com Abstract We use the concept
More informationFigure.1. Basic model of an impedance source converter JCHPS Special Issue 12: August Page 13
A Hgh Gan DC - DC Converter wth Soft Swtchng and Power actor Correcton for Renewable Energy Applcaton T. Selvakumaran* and. Svachdambaranathan Department of EEE, Sathyabama Unversty, Chenna, Inda. *Correspondng
More informationPRO-CRIMPER* III Hand Crimping Tool Assembly with Die Assembly
PRO-CRIMPER* III Hand Crmpng Tool Assembly 90548-1 wth De Assembly 90548-2 Instructon Sheet 408-9885 02 NOV 12 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually
More informationCoordinating the Motions of Multiple Robots with Specified Trajectories
Coordnatng the Motons of Multple Robots wth Specfed Trajectores Srnvas Akella Seth Hutchnson Department of Computer Scence Beckman Insttute Rensselaer Polytechnc Insttute Unversty of Illnos, Urbana-Champagn
More informationMANY applications involve robots that are deployed in a. Multi-Robot Data Gathering Under Buffer Constraints and Intermittent Communication
Mult-Robot Data Gatherng Under Buffer Constrants and Intermttent Communcaton Meng Guo Student Member, IEEE and Mchael M. Zavlanos Member, IEEE arxv:17.9v [cs.ma] 3 Oct 17 Abstract We consder a team of
More informationElectricity Network Reliability Optimization
Electrcty Network Relablty Optmzaton Kavnesh Sngh Department of Engneerng Scence Unversty of Auckland New Zealand kav@hug.co.nz Abstract Electrcty dstrbuton networks are subject to random faults. On occurrence
More informationArterial Travel Time Estimation Based On Vehicle Re-Identification Using Magnetic Sensors: Performance Analysis
Arteral Travel Tme Estmaton Based On Vehcle Re-Identfcaton Usng Magnetc Sensors: Performance Analyss Rene O. Sanchez, Chrstopher Flores, Roberto Horowtz, Ram Raagopal and Pravn Varaya Department of Mechancal
More informationNonlinear Complex Channel Equalization Using A Radial Basis Function Neural Network
Nonlnear Complex Channel Equalzaton Usng A Radal Bass Functon Neural Network Mclau Ncolae, Corna Botoca, Georgeta Budura Unversty Poltehnca of Tmşoara cornab@etc.utt.ro Abstract: The problem of equalzaton
More informationNEW ALGORITHM FOR ATTITUDE DETERMINATION USING GPS SIGNALS
XVI CONGRESSO NAZIONALE AIDAA 4-8 settembre 00 PALERMO NEW ALGORIHM FOR AIUDE DEERMINAION USING GPS SIGNALS F. BERNELLI-ZAZZERA, M. MOLINA, M. VANOI, M. VASILE Dpartmento d Ingegnera Aerospazale, Poltecnco
More informationcurrent activity shows on the top right corner in green. The steps appear in yellow
Browzwear Tutorals Tutoral ntroducton Ths tutoral leads you through the basc garment creaton process usng an llustrated step by step approach. Each slde shows the actual applcaton at the stage of the acton
More informationTHE GENERATION OF 400 MW RF PULSES AT X-BAND USING RESONANT DELAY LINES *
SLAC PUB 874 3/1999 THE GENERATION OF 4 MW RF PULSES AT X-BAND USING RESONANT DELAY LINES * Sam G. Tantaw, Arnold E. Vleks, and Rod J. Loewen Stanford Lnear Accelerator Center, Stanford Unversty P.O. Box
More informationUser s manual. Digital control relay SNI
User s manual Dgtal control relay SNI DISIBEINT ELECTRONIC S.L, has been present n the feld of the manufacture of components for the ndustral automaton for more than 35 years, and mantans n constant evoluton
More informationI' I THE GAME OF CHECKERS SOME STUDIES IN MACHINE LEARNING USING. should eventually eliminate the need for much of this detailed programming
', ' SOME STUDES N MACHNE LEARNNG USNG THE GAME OF CHECKERS A. L. Samuel ntroducton The studes reported here have been concerned wth the programmng of a dgtal computer to behave n a way whch, f done by
More informationDiscussion on How to Express a Regional GPS Solution in the ITRF
162 Dscusson on How to Express a Regonal GPS Soluton n the ITRF Z. ALTAMIMI 1 Abstract The usefulness of the densfcaton of the Internatonal Terrestral Reference Frame (ITRF) s to facltate ts access as
More informationph fax
www.customron.com ph 800.732.7699 fax 507.732.7837 Balusters, pckets, spndles these are the bones of a star ralng system. At Custom Iron, we commonly refer to these as balusters. And, uncommonly, we nvent
More informationInstruction Sheet ROTA- CRIMP* Hand Crimping Tools and
Instructon Sheet ROTA- CRIMP* Hand Crmpng Tools 08-09 6007 and 6007- APR PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually powered hand tools. Hand tools are
More informationSDE PEW- 12 Hand Tool
SDE PEW- 12 Hand Tool Instructon Sheet Assembly 2063956-1 wth 408-10370 De Assembly 2063956-2 07 OCT 10 PROPER USE GUIDELINES Cumulatve Trauma Dsorders can result from the prolonged use of manually powered
More information... -J to send radio signals through the air, how modulation , IJ."~ UNITED STATES~~ FREQUENCY ALLOCATIONS
..., J."..J What would lfe be lke wthout rado and televson? Only a hundred years ago the fastest way to send a message between Amerca and Europe or Asa was a fast shp. Now we get lve televson coverage
More informationSTRUCTURE ANALYSIS OF NEURAL NETWORKS
STRUCTURE ANALYSIS OF NEURAL NETWORKS DING SHENQIANG NATIONAL UNIVERSITY OF SINGAPORE 004 STRUCTURE ANALYSIS OF NEURAL NETWORKS DING SHENQIANG 004 STRUCTURE ANANLYSIS OF NEURAL NETWORKS DING SHENQIANG
More informationSTATISTICS. is given by. i i. = total frequency, d i. = x i a ANIL TUTORIALS. = total frequency and d i. = total frequency, h = class-size
STATISTICS ImPORTANT TERmS, DEFINITIONS AND RESULTS l The mean x of n values x 1, x 2, x 3,... x n s gven by x1+ x2 + x3 +... + xn x = n l mean of grouped data (wthout class-ntervals) () Drect method :
More informationA Simple Satellite Exclusion Algorithm for Advanced RAIM
A Smple Satellte Excluson Algorthm for Advanced RAIM Juan Blanch, Todd Walter, Per Enge Stanford Unversty ABSTRACT Advanced Recever Autonomous Integrty Montorng s a concept that extends RAIM to mult-constellaton
More informationAdaptive Modulation for Multiple Antenna Channels
Adaptve Modulaton for Multple Antenna Channels June Chul Roh and Bhaskar D. Rao Department of Electrcal and Computer Engneerng Unversty of Calforna, San Dego La Jolla, CA 993-7 E-mal: jroh@ece.ucsd.edu,
More informationMulti-Robot Map-Merging-Free Connectivity-Based Positioning and Tethering in Unknown Environments
Mult-Robot Map-Mergng-Free Connectvty-Based Postonng and Tetherng n Unknown Envronments Somchaya Lemhetcharat and Manuela Veloso February 16, 2012 Abstract We consder a set of statc towers out of communcaton
More informationFigure 1. DC-DC Boost Converter
EE36L, Power Electroncs, DC-DC Boost Converter Verson Feb. 8, 9 Overvew Boost converters make t possble to effcently convert a DC voltage from a lower level to a hgher level. Theory of Operaton Relaton
More information