Drive Technology \ Drive Automation \ System Integration \ Services. Data Sheet. Functional Safety Safety Characteristics for BE..
|
|
|
- Darleen Burns
- 5 years ago
- Views:
Transcription
1 Drive Techology \ Drive Automatio \ System Itegratio \ Services Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake Editio 12/ / EN
2 SEW-EURODRIVE Drivig the world
3 Data Sheet Safety otes kva i P f Hz 1 1 Data Sheet INFORMATION 1) We reserve the rights to make techical chages. This data sheet applies i additio to the "DR , 315 AC Motors" operatig istructios. Please observe the data specified i this publicatio. This documet does ot replace the detailed operatig istructios "DR , 315 AC Motors". Observe the other applicable documetatio 1) : "DR , 315 AC Motors" operatig istructios "DR. Series AC Motors" catalog 1.1 Safety otes INFORMATION Meaig of the value "MTTF d ": MTTF d is a statistical value. It is defied i the stadard EN ISO as "expected value of the mea time to dagerous failure". Statistical value meas that it is a value that has bee determied empirically. The value does ot imply a "guarateed operatig life" or a "failure-free time". For the BE.. brake, the value MTTF d refers to its capability of performig the mechaical switchig operatio, that is to move the pressure plate. Wear of the brake liig, which is caused by the coversio of kietic eergy durig the brakig process, does ot affect this value. The values differ for every applicatio because the value MTTF d depeds o the mea umber of actuatios per year. INFORMATION Observe the techical data for the brake i the "DR , 315 AC Motors" operatig istructios, i particular the maximum permitted work doe by the brake. INFORMATION Usage i safety-relevat applicatios: The system/machie maufacturer is resposible for compliace of the system/ machie with applicable safety regulatios. If a BE.. brake is used to fulfil a safety fuctio, the the brake is to be regarded as compoet (elemet) ad ot as safety-related subsystem. Usually, the BE.. brake aloe is ot sufficiet to execute a safety fuctio i compliace with the stadard. Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake 3
4 1 kva i P f Hz Data Sheet Characteristic safety values 1.2 Characteristic safety values Defiitio of the characteristic safety value B 10d : The value B 10d specifies the umber of cycles at which 10% of compoets have failed dagerously (defiitio accordig to stadard EN ISO ). Failed dagerously meas i this cotext that the brake is ot applied whe required. This meas the brake does ot deliver the ecessary brakig torque. Size B 10d Switchig cycles BE BE BE BE BE BE BE BE BE BE BE BE Defiitio of the categories: The categories classify safety-related compoets regardig their resistace to errors ad their respose i the evet of a error based o the reliability ad/or the structural arragemet of the parts. A higher resistace to errors meas a higher potetial to reduce risk. Brake type Category BE.. brake without safety techology Category B (accordig to EN ISO ) Safety characteristics BE.. brake (FS) Category 1 (accordig to EN ISO ) 1.3 Sample calculatios Below some examples for how to use the value B 10d to calculate the mea time to dagerous failure (MTTF d ). I the examples, the values MTTF d are calculated for size BE11 based o 2 differet switchig frequecies. The equatios used are described i stadard EN ISO The followig sample calculatios are based o two selected applicatios. The calculatio has to be adjusted for other applicatios. Also, other parameters might ifluece the calculatio. If you have ay questios o calculatig the values, please cotact SEW-EURODRIVE. 4 Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake
5 Data Sheet Sample calculatios kva i P f Hz Example 1 Iput data: Iput data for the BE11 brake: B 10d = Operatig days per year: d op = 300 d/a Daily operatig period: h op = 24 h/d Cycle time: t cycle = 87 s Startig frequecy: 41.4 per hour Calculatio: MTTF d B10d = 01. x op op d = op s xhop x 3600 h t cycle Isertig the values: d h s a d h op = 87s = a MTTFd = a = a 0. 1x Result: MTTF d = 100 years The result is assiged to "High" accordig to stadard EN ISO as show i the followig table. Desigatio Low Medium High Rage 3 years MTTF d < 10 years 10 years MTTF d < 30 years 30 years MTTF d 100 years Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake 5
6 1 kva i P f Hz Data Sheet Sample calculatios Example 2 Iput data: Iput data for the BE11 brake: Same values as i example 1 but with reduced cycle time Cycle time: t cycle = 25 s Startig frequecy: 144 per hour Calculatio: Make the calculatio as show i example 1. Result: MTTF d = 29 years The result is assiged to "Medium" accordig to stadard EN ISO Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake
7
8 SEW-EURODRIVE Drivig the world SEW-EURODRIVE Drivig the world SEW-EURODRIVE GmbH & Co KG P.O. Box 3023 D Bruchsal/Germay Phoe Fax
Drive Technology \ Drive Automation \ System Integration \ Services. Data Sheet. Functional Safety Safety Characteristics for Brake BE..
Drive Techology \ Drive Automatio \ System Itegratio \ Services Data Sheet Fuctioal Safety Safety Characteristics for Brake BE..(FS) Editio 08/2012 19491212 / EN SEW-EURODRIVE Drivig the world Data Sheet
Data Sheet. Functional Safety Characteristic Safety Values for BE.. Brakes * _0715*
Drive Technology \ Drive Automation \ System Integration \ Services *22291814_0715* Data Sheet Functional Safety Characteristic Safety Values for BE.. Brakes Edition 07/2015 22291814/EN SEW-EURODRIVE Driving
Data Sheet. Functional Safety Characteristic Safety Values for BE..(FS) Brakes * _0715*
Drive Technology \ Drive Automation \ System Integration \ Services *22292616_0715* Data Sheet Functional Safety Characteristic Safety Values for BE..(FS) Brakes Edition 07/2015 22292616/EN SEW-EURODRIVE
Kinetics of Complex Reactions
Kietics of Complex Reactios by Flick Colema Departmet of Chemistry Wellesley College Wellesley MA 28 wcolema@wellesley.edu Copyright Flick Colema 996. All rights reserved. You are welcome to use this documet
Standard BAL Real Power Balancing Control Performance
A. Itroductio. Title: Real Power Balacig Cotrol Performace 2. Number: BAL-00-3. Purpose: To maitai Itercoectio steady-state frequecy withi defied limits by balacig real power demad ad supply i real-time.
Provläsningsexemplar / Preview TECHNICAL REPORT INTERNATIONAL SPECIAL COMMITTEE ON RADIO INTERFERENCE
TECHNICAL REPORT CISPR 16-4-3 2004 AMENDMENT 1 2006-10 INTERNATIONAL SPECIAL COMMITTEE ON RADIO INTERFERENCE Amedmet 1 Specificatio for radio disturbace ad immuity measurig apparatus ad methods Part 4-3:
Solutions. Number of Problems: 4. None. Use only the prepared sheets for your solutions. Additional paper is available from the supervisors.
Quiz November 4th, 23 Sigals & Systems (5-575-) P. Reist & Prof. R. D Adrea Solutios Exam Duratio: 4 miutes Number of Problems: 4 Permitted aids: Noe. Use oly the prepared sheets for your solutios. Additioal
Standard BAL-001-0a Real Power Balancing Control Performance
A. Itroductio. Title: Real Power Balacig Cotrol Performace 2. Number: BAL-00-0a 3. Purpose: To maitai Itercoectio steady-state frequecy withi defied limits by balacig real power demad ad supply i real-time.
Power supplies for parallel operation Power supplies
Power supplies Power supplies for parallel operatio U 1 2 U Parallel operatio of switchmode power supplies Techical details for passive curret-sharig The aim of operatig switchmode power supplies (SMPS)
62. Power series Definition 16. (Power series) Given a sequence {c n }, the series. c n x n = c 0 + c 1 x + c 2 x 2 + c 3 x 3 +
62. Power series Defiitio 16. (Power series) Give a sequece {c }, the series c x = c 0 + c 1 x + c 2 x 2 + c 3 x 3 + is called a power series i the variable x. The umbers c are called the coefficiets of
KMXP MR Position Sensor
KMXP MR Positio Sesor AMR liear positio sesor 2x6 DFN package, very compact Small wall thickess for large air gaps High operatig temperature of 50 C O the edge solderig possible DESCRIPTION Movig a KMXP
Sequences of Definite Integrals, Factorials and Double Factorials
47 6 Joural of Iteger Sequeces, Vol. 8 (5), Article 5.4.6 Sequeces of Defiite Itegrals, Factorials ad Double Factorials Thierry Daa-Picard Departmet of Applied Mathematics Jerusalem College of Techology
ECE 422/522 Power System Operations & Planning/Power Systems Analysis II : 6 - Small Signal Stability
ECE 4/5 Power System Operatios & Plaig/Power Systems Aalysis II : 6 - Small Sigal Stability Sprig 014 Istructor: Kai Su 1 Refereces Kudur s Chapter 1 Saadat s Chapter 11.4 EPRI Tutorial s Chapter 8 Power
Department of Civil Engineering-I.I.T. Delhi CEL 899: Environmental Risk Assessment HW5 Solution
Departmet of Civil Egieerig-I.I.T. Delhi CEL 899: Evirometal Risk Assessmet HW5 Solutio Note: Assume missig data (if ay) ad metio the same. Q. Suppose X has a ormal distributio defied as N (mea=5, variace=
NUMERICAL METHODS FOR SOLVING EQUATIONS
Mathematics Revisio Guides Numerical Methods for Solvig Equatios Page 1 of 11 M.K. HOME TUITION Mathematics Revisio Guides Level: GCSE Higher Tier NUMERICAL METHODS FOR SOLVING EQUATIONS Versio:. Date:
Committee Draft. Ballot ID: mass. Action item Reference Number: API RP 581 RISK-BASED INSPECTION TECHNOLOGY. COF eneff Correction.
API RP 58 RISK-BASED INSPECTION TECHNOLOGY Ballot ID: Actio item Referece Numer: Title COF eeff Correctio Date: 0/0/8 Purpose: COF eeff factor usage is cofusig. Revisio: Impact: Ratioale: Techical Referece(s):
) +m 0 c2 β K Ψ k (4)
i ħ Ψ t = c ħ i α ( The Nature of the Dirac Equatio by evi Gibso May 18, 211 Itroductio The Dirac Equatio 1 is a staple of relativistic quatum theory ad is widely applied to objects such as electros ad
Magnetic Length Sensor MLS (Hybrid)
Small Hybride Large Hybride AMR gradiet sesor Liear displacemet, movemets, velocities High precisio Various pole pitches available DESCRIPTION Slidig the MLS-Sesors alog a magetic scale will produce a
Orthogonal Gaussian Filters for Signal Processing
Orthogoal Gaussia Filters for Sigal Processig Mark Mackezie ad Kiet Tieu Mechaical Egieerig Uiversity of Wollogog.S.W. Australia Abstract A Gaussia filter usig the Hermite orthoormal series of fuctios
Nernst Equation. Nernst Equation. Electric Work and Gibb's Free Energy. Skills to develop. Electric Work. Gibb's Free Energy
Nerst Equatio Skills to develop Eplai ad distiguish the cell potetial ad stadard cell potetial. Calculate cell potetials from kow coditios (Nerst Equatio). Calculate the equilibrium costat from cell potetials.
Accuracy of prediction methods for the improvement of impact sound pressure levels using floor coverings
Accuracy of predictio methods for the improvemet of impact soud pressure levels usig floor coverigs Daiel GRIFFIN 1 1 Marshall Day Acoustics, Australia ABSTRACT The improvemet of impact soud pressure levels
Student s Printed Name:
Studet s Prited Name: Istructor: XID: C Sectio: No questios will be aswered durig this eam. If you cosider a questio to be ambiguous, state your assumptios i the margi ad do the best you ca to provide
1 Hash tables. 1.1 Implementation
Lecture 8 Hash Tables, Uiversal Hash Fuctios, Balls ad Bis Scribes: Luke Johsto, Moses Charikar, G. Valiat Date: Oct 18, 2017 Adapted From Virgiia Williams lecture otes 1 Hash tables A hash table is a
OBJECTIVES. Chapter 1 INTRODUCTION TO INSTRUMENTATION FUNCTION AND ADVANTAGES INTRODUCTION. At the end of this chapter, students should be able to:
OBJECTIVES Chapter 1 INTRODUCTION TO INSTRUMENTATION At the ed of this chapter, studets should be able to: 1. Explai the static ad dyamic characteristics of a istrumet. 2. Calculate ad aalyze the measuremet
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science. BACKGROUND EXAM September 30, 2004.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Departmet of Electrical Egieerig ad Computer Sciece 6.34 Discrete Time Sigal Processig Fall 24 BACKGROUND EXAM September 3, 24. Full Name: Note: This exam is closed
NATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 009 MARKS: 50 TIME: 3 hours This questio paper cosists of 0 pages, a iformatio sheet ad 3 diagram sheets. Please tur over Mathematics/P DoE/Feb.
Solution of EECS 315 Final Examination F09
Solutio of EECS 315 Fial Examiatio F9 1. Fid the umerical value of δ ( t + 4ramp( tdt. δ ( t + 4ramp( tdt. Fid the umerical sigal eergy of x E x = x[ ] = δ 3 = 11 = ( = ramp( ( 4 = ramp( 8 = 8 [ ] = (
EXAMINATIONS OF THE ROYAL STATISTICAL SOCIETY
EXAMINATIONS OF THE ROYAL STATISTICAL SOCIETY GRADUATE DIPLOMA, 016 MODULE : Statistical Iferece Time allowed: Three hours Cadidates should aswer FIVE questios. All questios carry equal marks. The umber
6.867 Machine learning, lecture 7 (Jaakkola) 1
6.867 Machie learig, lecture 7 (Jaakkola) 1 Lecture topics: Kerel form of liear regressio Kerels, examples, costructio, properties Liear regressio ad kerels Cosider a slightly simpler model where we omit
Teaching Mathematics Concepts via Computer Algebra Systems
Iteratioal Joural of Mathematics ad Statistics Ivetio (IJMSI) E-ISSN: 4767 P-ISSN: - 4759 Volume 4 Issue 7 September. 6 PP-- Teachig Mathematics Cocepts via Computer Algebra Systems Osama Ajami Rashaw,
School of Electrical Engineering. EI2400 Applied Antenna Theory Lecture 9: Broadband antennas
School of Electrical Egieerig EI2400 Applied Atea Theory Lecture 9: Broadbad ateas Questio 1 What is the badwidth of a atea? It is the rage of frequecies withi which the performace of the atea with respect
Math 113 Exam 3 Practice
Math Exam Practice Exam will cover.-.9. This sheet has three sectios. The first sectio will remid you about techiques ad formulas that you should kow. The secod gives a umber of practice questios for you
Queueing theory and Replacement model
Queueig theory ad Replacemet model. Trucks at a sigle platform weigh-bridge arrive accordig to Poisso probability distributio. The time required to weigh the truck follows a expoetial probability distributio.
Measurement uncertainty of the sound absorption
Measuremet ucertaity of the soud absorptio coefficiet Aa Izewska Buildig Research Istitute, Filtrowa Str., 00-6 Warsaw, Polad a.izewska@itb.pl 6887 The stadard ISO/IEC 705:005 o the competece of testig
Classification of problem & problem solving strategies. classification of time complexities (linear, logarithmic etc)
Classificatio of problem & problem solvig strategies classificatio of time complexities (liear, arithmic etc) Problem subdivisio Divide ad Coquer strategy. Asymptotic otatios, lower boud ad upper boud:
WHAT IS THE PROBABILITY FUNCTION FOR LARGE TSUNAMI WAVES? ABSTRACT
WHAT IS THE PROBABILITY FUNCTION FOR LARGE TSUNAMI WAVES? Harold G. Loomis Hoolulu, HI ABSTRACT Most coastal locatios have few if ay records of tsuami wave heights obtaied over various time periods. Still
Answer: 1(A); 2(C); 3(A); 4(D); 5(B); 6(A); 7(C); 8(C); 9(A); 10(A); 11(A); 12(C); 13(C)
Aswer: (A); (C); 3(A); 4(D); 5(B); 6(A); 7(C); 8(C); 9(A); 0(A); (A); (C); 3(C). A two loop positio cotrol system is show below R(s) Y(s) + + s(s +) - - s The gai of the Tacho-geerator iflueces maily the
Triatomics-in-molecules method applied to helium cluster cations
- 1 - Triatomics-i-molecules method applied to helium cluster catios Reé KALUS Departmet of hysics, Uiversity of Ostrava, 30. duba 22, 701 03 Ostrava 1 e-mail: Ree.Kalus@osu.cz ABSTRACT The triatomics-i-molecules
CHAPTER I: Vector Spaces
CHAPTER I: Vector Spaces Sectio 1: Itroductio ad Examples This first chapter is largely a review of topics you probably saw i your liear algebra course. So why cover it? (1) Not everyoe remembers everythig
Analysis of the No-Load Characteristic of the Moving Coil Linear Compressor
Purdue Uiversity Purdue e-pubs Iteratioal Compressor Egieerig Coferece School of Mechaical Egieerig 008 Aalysis of the No-Load Characteristic of the Movig Coil Liear Compressor Yigbai Xie North Chia Electric
Rademacher Complexity
EECS 598: Statistical Learig Theory, Witer 204 Topic 0 Rademacher Complexity Lecturer: Clayto Scott Scribe: Ya Deg, Kevi Moo Disclaimer: These otes have ot bee subjected to the usual scrutiy reserved for
Signal Processing. Lecture 02: Discrete Time Signals and Systems. Ahmet Taha Koru, Ph. D. Yildiz Technical University.
Sigal Processig Lecture 02: Discrete Time Sigals ad Systems Ahmet Taha Koru, Ph. D. Yildiz Techical Uiversity 2017-2018 Fall ATK (YTU) Sigal Processig 2017-2018 Fall 1 / 51 Discrete Time Sigals Discrete
577. Estimation of surface roughness using high frequency vibrations
577. Estimatio of surface roughess usig high frequecy vibratios V. Augutis, M. Sauoris, Kauas Uiversity of Techology Electroics ad Measuremets Systems Departmet Studetu str. 5-443, LT-5368 Kauas, Lithuaia
Shock Transducer with Hall Sensing Element
Shock Trasducer with Hall Sesig Elemet Ioa Gavril Tarova, Bogda Tebrea, Titus Eduard Crisa Departamet of Electrical Measuremet, Faculty of Electrical Egieerig, Techical Uiversity of Cluj-Napoca, Str.C.Daicoviciu
EXPERIMENT OF SIMPLE VIBRATION
EXPERIMENT OF SIMPLE VIBRATION. PURPOSE The purpose of the experimet is to show free vibratio ad damped vibratio o a system havig oe degree of freedom ad to ivestigate the relatioship betwee the basic
TEACHER CERTIFICATION STUDY GUIDE
COMPETENCY 1. ALGEBRA SKILL 1.1 1.1a. ALGEBRAIC STRUCTURES Kow why the real ad complex umbers are each a field, ad that particular rigs are ot fields (e.g., itegers, polyomial rigs, matrix rigs) Algebra
NATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE 1 MATHEMATICS P1 NOVEMBER 016 MARKS: 150 TIME: 3 hours This questio paper cosists of 9 pages ad 1 iformatio sheet. Please tur over Mathematics/P1 DBE/November 016 INSTRUCTIONS
METRO EAST EDUCATION DISTRICT
METRO EAST EDUCATION DISTRICT COMMON PAPER GRADE 1 MATHEMATICS P1 SEPTEMBER 018 MARKS: 150 TIME: 3 hours This questio paper cosists of 10 pages ad 1 iformatio sheet. INSTRUCTIONS AND INFORMATION Read the
Butterworth LC Filter Designer
Butterworth LC Filter Desiger R S = g g 4 g - V S g g 3 g R L = Fig. : LC filter used for odd-order aalysis g R S = g 4 g V S g g 3 g - R L = useful fuctios ad idetities Uits Costats Table of Cotets I.
6.867 Machine learning
6.867 Machie learig Mid-term exam October, ( poits) Your ame ad MIT ID: Problem We are iterested here i a particular -dimesioal liear regressio problem. The dataset correspodig to this problem has examples
sin(n) + 2 cos(2n) n 3/2 3 sin(n) 2cos(2n) n 3/2 a n =
60. Ratio ad root tests 60.1. Absolutely coverget series. Defiitio 13. (Absolute covergece) A series a is called absolutely coverget if the series of absolute values a is coverget. The absolute covergece
Lecture 19: Convergence
Lecture 19: Covergece Asymptotic approach I statistical aalysis or iferece, a key to the success of fidig a good procedure is beig able to fid some momets ad/or distributios of various statistics. I may
C. Complex Numbers. x 6x + 2 = 0. This equation was known to have three real roots, given by simple combinations of the expressions
C. Complex Numbers. Complex arithmetic. Most people thik that complex umbers arose from attempts to solve quadratic equatios, but actually it was i coectio with cubic equatios they first appeared. Everyoe
n m CHAPTER 3 RATIONAL EXPONENTS AND RADICAL FUNCTIONS 3-1 Evaluate n th Roots and Use Rational Exponents Real nth Roots of a n th Root of a
CHAPTER RATIONAL EXPONENTS AND RADICAL FUNCTIONS Big IDEAS: 1) Usig ratioal expoets ) Performig fuctio operatios ad fidig iverse fuctios ) Graphig radical fuctios ad solvig radical equatios Sectio: Essetial
Comparison Study of Series Approximation. and Convergence between Chebyshev. and Legendre Series
Applied Mathematical Scieces, Vol. 7, 03, o. 6, 3-337 HIKARI Ltd, www.m-hikari.com http://d.doi.org/0.988/ams.03.3430 Compariso Study of Series Approimatio ad Covergece betwee Chebyshev ad Legedre Series
Chapter 3. Strong convergence. 3.1 Definition of almost sure convergence
Chapter 3 Strog covergece As poited out i the Chapter 2, there are multiple ways to defie the otio of covergece of a sequece of radom variables. That chapter defied covergece i probability, covergece i
PROFICIENCY TESTING ACTIVITIES OF FREQUENCY CALIBRATION LABORATORIES IN TAIWAN, 2009
PROFICIENCY TESTING ACTIVITIES OF FREQUENCY CALIBRATION LABORATORIES IN TAIWAN, 009 Huag-Tie Li, Po-Cheg Chag, Jia-Lu Wag, ad Chia-Shu Liao Natioal Stadard Time & Frequecy Lab., TL, Chughwa Telecom Co.,
6.003 Homework #3 Solutions
6.00 Homework # Solutios Problems. Complex umbers a. Evaluate the real ad imagiary parts of j j. π/ Real part = Imagiary part = 0 e Euler s formula says that j = e jπ/, so jπ/ j π/ j j = e = e. Thus the
Test One (Answer Key)
CS395/Ma395 (Sprig 2005) Test Oe Name: Page 1 Test Oe (Aswer Key) CS395/Ma395: Aalysis of Algorithms This is a closed book, closed otes, 70 miute examiatio. It is worth 100 poits. There are twelve (12)
To the use of Sellmeier formula
To the use of Sellmeier formula by Volkmar Brücker Seior Experte Service (SES) Bo ad HfT Leipzig, Germay Abstract Based o dispersio of pure silica we proposed a geeral Sellmeier formula for various dopats
THE SYSTEMATIC AND THE RANDOM. ERRORS - DUE TO ELEMENT TOLERANCES OF ELECTRICAL NETWORKS
R775 Philips Res. Repts 26,414-423, 1971' THE SYSTEMATIC AND THE RANDOM. ERRORS - DUE TO ELEMENT TOLERANCES OF ELECTRICAL NETWORKS by H. W. HANNEMAN Abstract Usig the law of propagatio of errors, approximated
SHAFTS: STATICALLY INDETERMINATE SHAFTS
LECTURE SHAFTS: STATICALLY INDETERMINATE SHAFTS Third Editio A.. Clark School of Egieerig Departmet of Civil ad Eviromet Egieerig 7 Chapter 3.6 by Dr. Ibrahim A. Assakkaf SPRING 2003 ENES 220 Mechaics
A. Much too slow. C. Basically about right. E. Much too fast
Geeral Questio 1 t this poit, we have bee i this class for about a moth. It seems like this is a good time to take stock of how the class is goig. g I promise ot to look at idividual resposes, so be cadid!
GRADE 12 SEPTEMBER 2015 MATHEMATICS P1
NATIONAL SENIOR CERTIFICATE GRADE 1 SEPTEMBER 015 MATHEMATICS P1 MARKS: 150 TIME: 3 hours *MATHE1* This questio paper cosists of 10 pages, icludig a iformatio sheet. MATHEMATICS P1 (EC/SEPTEMBER 015) INSTRUCTIONS
TRACEABILITY SYSTEM OF ROCKWELL HARDNESS C SCALE IN JAPAN
HARDMEKO 004 Hardess Measuremets Theory ad Applicatio i Laboratories ad Idustries - November, 004, Washigto, D.C., USA TRACEABILITY SYSTEM OF ROCKWELL HARDNESS C SCALE IN JAPAN Koichiro HATTORI, Satoshi
Supporting information to. and Ruben Kretzschmar. Institute of Isotope Geochemistry and Mineral Resources, ETH Zurich, NO, 8092 Zürich, Switzerland
Supportig iformatio to Iro isotope fractioatio durig proto-promoted, ligad-cotrolled, ad reductive dissolutio of goethite Ja G. Wiederhold*., Stepha M. Kraemer, Nadya Teutsch, Paul M. Borer, Alex N. Halliday,
Using SAS to Evaluate Integrals and Reverse Functions in Power and Sample Size Calculations
Usig SAS to Evaluate Itegrals ad everse Fuctios i Power ad Sample Size Calculatios Xigshu Zhu, Merck &Co., Ic. Blue Bell, PA 94 Shupig Zhag, Merck &Co., Ic. Blue Bell, PA 94 ABSTACT We have recetly created
Exmple Questions for the Examination for 4041 OPTICAL COMMUNICATION ENGINEERING
Exmple Questios for the Examiatio for 441 OPTICAL COMMUNICATION ENGINEERING Official Readig Time: 1 mis Writig Time: 1 mis Total Duratio: 13 mis NOTE: The 8 Exam will have of 6 (!) Questios ad thus will
DESCRIPTION OF THE SYSTEM
Sychroous-Serial Iterface for absolute Ecoders SSI 1060 BE 10 / 01 DESCRIPTION OF THE SYSTEM TWK-ELEKTRONIK GmbH D-001 Düsseldorf PB 1006 Heirichstr. Tel +9/11/6067 Fax +9/11/6770 e-mail: ifo@twk.de Page
CUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE
CUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE Ryutaro SEGAWA 1, Shizuo YAMAMOTO, Akira SONE 3 Ad Arata MASUDA 4 SUMMARY Durig a strog earthquake, the respose of a structure
Appendix: The Laplace Transform
Appedix: The Laplace Trasform The Laplace trasform is a powerful method that ca be used to solve differetial equatio, ad other mathematical problems. Its stregth lies i the fact that it allows the trasformatio
Design and Analysis of ALGORITHM (Topic 2)
DR. Gatot F. Hertoo, MSc. Desig ad Aalysis of ALGORITHM (Topic 2) Algorithms + Data Structures = Programs Lessos Leared 1 Our Machie Model: Assumptios Geeric Radom Access Machie (RAM) Executes operatios
ESTIMATION OF QUALITY PARAMETERS IN THE RADIO FLIGHT SUPPORT OPERATIONAL SYSTEM
VITION ISSN 648 7788 / eissn 8 48 6 Volume 3: 3 8 doi:.3846/6487788.6.754 ESTIMTION OF QULITY PMETES IN THE DIO FLIGHT SUPPOT OPETIONL SYSTEM Oleksadr SOLOMENTSEV, Maksym ZLISKYI, Oleksiy ZUIEV 3 Natioal
Summary: CORRELATION & LINEAR REGRESSION. GC. Students are advised to refer to lecture notes for the GC operations to obtain scatter diagram.
Key Cocepts: 1) Sketchig of scatter diagram The scatter diagram of bivariate (i.e. cotaiig two variables) data ca be easily obtaied usig GC. Studets are advised to refer to lecture otes for the GC operatios
ln(i G ) 26.1 Review 26.2 Statistics of multiple breakdowns M Rows HBD SBD N Atoms Time
EE650R: Reliability Physics of Naoelectroic Devices Lecture 26: TDDB: Statistics of Multiple Breadows Date: Nov 17, 2006 ClassNotes: Jaydeep P. Kulari Review: Pradeep R. Nair 26.1 Review I the last class
Robust Default Correlation for Cost Risk Analysis
Robust Default Correlatio for Cost Risk Aalysis Christia Smart, Ph.D., CCEA Director, Cost Estimatig ad Aalysis Missile Defese Agecy Preseted at the 03 ICEAA Professioal Developmet ad Traiig Workshop Jue,
1 Adiabatic and diabatic representations
1 Adiabatic ad diabatic represetatios 1.1 Bor-Oppeheimer approximatio The time-idepedet Schrödiger equatio for both electroic ad uclear degrees of freedom is Ĥ Ψ(r, R) = E Ψ(r, R), (1) where the full molecular
Building Blocks Problem Related to Harmonic Series
The Mathematics Ethusiast Volume 3 Number Article -006 Buildig Blocks Problem Related to Harmoic Series Yutaka Nishiyama Let us kow how access to this documet beefits you. Follow this ad additioal works
Exponents. Learning Objectives. Pre-Activity
Sectio. Pre-Activity Preparatio Epoets A Chai Letter Chai letters are geerated every day. If you sed a chai letter to three frieds ad they each sed it o to three frieds, who each sed it o to three frieds,
PH 411/511 ECE B(k) Sin k (x) dk (1)
Fall-27 PH 4/5 ECE 598 A. La Rosa Homework-3 Due -7-27 The Homework is iteded to gai a uderstadig o the Heiseberg priciple, based o a compariso betwee the width of a pulse ad the width of its spectral
Math 31B Integration and Infinite Series. Practice Final
Math 3B Itegratio ad Ifiite Series Practice Fial Istructios: You have 8 miutes to complete this eam. There are??? questios, worth a total of??? poits. This test is closed book ad closed otes. No calculator
Probabilistic Classifiers Using Nearest Neighbor Balls. Climate Change Workshop, Malta, March, 2009
Probabilistic Classifiers Usig Nearest Neighbor Balls Climate Chage Worshop Malta March 2009 Bo Raeby & Ju Yu Cetre of Biostochastics Swedish Uiversity of Agricultural Scieces Bacgroud Climate chage implies
Sample Size Determination (Two or More Samples)
Sample Sie Determiatio (Two or More Samples) STATGRAPHICS Rev. 963 Summary... Data Iput... Aalysis Summary... 5 Power Curve... 5 Calculatios... 6 Summary This procedure determies a suitable sample sie
NATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 008 MARKS: 50 TIME: 3 hours This questio paper cosists of pages, diagram sheets ad a formula sheet. Please tur over Mathematics/P DoE/Eemplar 008
1 1 2 = show that: over variables x and y. [2 marks] Write down necessary conditions involving first and second-order partial derivatives for ( x0, y
![1 1 2 = show that: over variables x and y. [2 marks] Write down necessary conditions involving first and second-order partial derivatives for ( x0, y](/thumbs/95/125864248.jpg "1 1 2 = show that: over variables x and y. [2 marks] Write down necessary conditions involving first and second-order partial derivatives for ( x0, y")
Questio (a) A square matrix A= A is called positive defiite if the quadratic form waw > 0 for every o-zero vector w [Note: Here (.) deotes the traspose of a matrix or a vector]. Let 0 A = 0 = show that:
Probability, Expectation Value and Uncertainty
Chapter 1 Probability, Expectatio Value ad Ucertaity We have see that the physically observable properties of a quatum system are represeted by Hermitea operators (also referred to as observables ) such
Lesson 10: Limits and Continuity
www.scimsacademy.com Lesso 10: Limits ad Cotiuity SCIMS Academy 1 Limit of a fuctio The cocept of limit of a fuctio is cetral to all other cocepts i calculus (like cotiuity, derivative, defiite itegrals
Math 113 Exam 4 Practice
Math Exam 4 Practice Exam 4 will cover.-.. This sheet has three sectios. The first sectio will remid you about techiques ad formulas that you should kow. The secod gives a umber of practice questios for
Office: JILA A709; Phone ;
Office: JILA A709; Phoe 303-49-7841; email: weberjm@jila.colorado.edu Problem Set 5 To be retured before the ed of class o Wedesday, September 3, 015 (give to me i perso or slide uder office door). 1.
METRO EAST EDUCATION DISTRICT NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICS PAPER 1 SEPTEMBER 2014
METRO EAST EDUCATION DISTRICT NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS PAPER SEPTEMBER 04 MARKS: 50 TIME: 3 hours This paper cosists of 7 pages ad a iformatio sheet. GR Mathematics- P MEED September
Multilayer perceptrons
Multilayer perceptros If traiig set is ot liearly separable, a etwork of McCulloch-Pitts uits ca give a solutio If o loop exists i etwork, called a feedforward etwork (else, recurret etwork) A two-layer
MCT242: Electronic Instrumentation Lecture 2: Instrumentation Definitions
Faculty of Egieerig MCT242: Electroic Istrumetatio Lecture 2: Istrumetatio Defiitios Overview Measuremet Error Accuracy Precisio ad Mea Resolutio Mea Variace ad Stadard deviatio Fiesse Sesitivity Rage
1 Review of Probability & Statistics
1 Review of Probability & Statistics a. I a group of 000 people, it has bee reported that there are: 61 smokers 670 over 5 960 people who imbibe (drik alcohol) 86 smokers who imbibe 90 imbibers over 5
Unit 5. Gases (Answers)
Uit 5. Gases (Aswers) Upo successful completio of this uit, the studets should be able to: 5. Describe what is meat by gas pressure.. The ca had a small amout of water o the bottom to begi with. Upo heatig
Chapter 6 Infinite Series
Chapter 6 Ifiite Series I the previous chapter we cosidered itegrals which were improper i the sese that the iterval of itegratio was ubouded. I this chapter we are goig to discuss a topic which is somewhat
CS / MCS 401 Homework 3 grader solutions
CS / MCS 401 Homework 3 grader solutios assigmet due July 6, 016 writte by Jāis Lazovskis maximum poits: 33 Some questios from CLRS. Questios marked with a asterisk were ot graded. 1 Use the defiitio of
MISCELLANEOUS SEQUENCES & SERIES QUESTIONS
MISCELLANEOUS SEQUENCES & SERIES QUESTIONS Questio (***+) Evaluate the followig sum 30 r ( 2) 4r 78. 3 MP2-V, 75,822,200 Questio 2 (***+) Three umbers, A, B, C i that order, are i geometric progressio
CHM 424 EXAM 2 - COVER PAGE FALL
CHM 44 EXAM - COVER PAGE FALL 007 There are six umbered pages with five questios. Aswer the questios o the exam. Exams doe i ik are eligible for regrade, those doe i pecil will ot be regraded. coulomb
Physics Supplement to my class. Kinetic Theory
Physics Supplemet to my class Leaers should ote that I have used symbols for geometrical figures ad abbreviatios through out the documet. Kietic Theory 1 Most Probable, Mea ad RMS Speed of Gas Molecules