13-2. Компания "ШТРАЙ" Москва, ул. Островитянова, д.13. тел.: (495) , , факс:(495)

Size: px
Start display at page:

Download "13-2. Компания "ШТРАЙ" Москва, ул. Островитянова, д.13. тел.: (495) , , факс:(495)"

Transcription

1

2 - 13-2

3

4 - 13-4

5 13-5

6 - 13-6

7 13-7 φ

8 - 13-8

9 13-9 φ 0, , , , φ

10

11 13-11 φ φ

12 φ }

13 13-13 φ

14 E 390 φ φ φ φ

15 N 708 G 706

Kirchhoff's Current Law (KCL)

Kirchhoff's Current Law (KCL) Kirchhoff's Current Law (KCL) I. Charge (current flow) conservation law (the Kirchhoff s Current law) Pipe Pipe Pipe 3 Total volume of water per second flowing through pipe = total volume of water per

More information

x o R n a π(a, x o ) A R n π(a, x o ) π(a, x o ) A R n a a x o x o x n X R n δ(x n, x o ) d(a, x n ) d(, ) δ(, ) R n x n X d(a, x n ) δ(x n, x o ) a = a A π(a, xo ) a a A = X = R π(a, x o ) = (x o + ρ)

More information

Intro to Practical Digital Communications

Intro to Practical Digital Communications Intro to Practical Digital Communications Lecture 2 Vladimir Stojanović 6.973 Communication System Design Spring 2006 Massachusetts Institute of Technology Discrete data transmission Messages are encoded

More information

Note on some explicit formulae for twin prime counting function

Note on some explicit formulae for twin prime counting function Notes on Number Theory and Discrete Mathematics Vol. 9, 03, No., 43 48 Note on some explicit formulae for twin prime counting function Mladen Vassilev-Missana 5 V. Hugo Str., 4 Sofia, Bulgaria e-mail:

More information

Calculating Astronomical Unit from Venus Transit

Calculating Astronomical Unit from Venus Transit Calculating Astronomical Unit from Venus Transit A) Background 1) Parallaxes of the Sun (the horizontal parallaxes) By definition the parallaxes of the Sun is the angle β shown below: By trigonometry,

More information

Assembly Instructions

Assembly Instructions CK622400TX- Espresso CK612400TX- Black Nailhead Cocktail Table Trunk Assembly Instructions For assistance with assembly contact: Southern Enterprises Inc. Customer Service 1-800-633-5096 service@seidal.com

More information

Inductors in AC Circuits

Inductors in AC Circuits Inductors in AC Circuits Name Section Resistors, inductors, and capacitors all have the effect of modifying the size of the current in an AC circuit and the time at which the current reaches its maximum

More information

UNIVERSITETET I OSLO

UNIVERSITETET I OSLO NIVERSITETET I OSLO Det matematisk-naturvitenskapelige fakultet Examination in: Trial exam Partial differential equations and Sobolev spaces I. Day of examination: November 18. 2009. Examination hours:

More information

Optics. Kepler's telescope and Galileo's telescope. f 1. f 2. LD Physics Leaflets P5.1.4.2. Geometrical optics Optical instruments

Optics. Kepler's telescope and Galileo's telescope. f 1. f 2. LD Physics Leaflets P5.1.4.2. Geometrical optics Optical instruments Optics Geometrical optics Optical instruments LD Physics Lealets P5.1.4.2 Kepler's telescope and Galileo's telescope Objects o the experiment g Veriying that the length o a telescope is given by the sum

More information

Høgskolen i Narvik Sivilingeniørutdanningen

Høgskolen i Narvik Sivilingeniørutdanningen Høgskolen i Narvik Sivilingeniørutdanningen Eksamen i Faget STE6237 ELEMENTMETODEN Klassen: 4.ID 4.IT Dato: 8.8.25 Tid: Kl. 9. 2. Tillatte hjelpemidler under eksamen: Kalkulator. Bok Numerical solution

More information

6 ELECTRICAL PARAMETERS

6 ELECTRICAL PARAMETERS 6 ELECTRICAL PARAMETERS For power, low voltage and medium voltage cables, cross section nominal areas are calculated in taking into account several parameters as: permissible current carrying capacities

More information

Chapter - 3 Design of Rectangular Beams and One-way Slabs

Chapter - 3 Design of Rectangular Beams and One-way Slabs Rectangular Beams and One-way Slabs Page 1 of 9 Chapter - 3 Design of Rectangular Beams and One-way Slabs 12 h A 12 strip in a simply supported one-way slab h b=12 L Rectangular Beams and One-way Slabs

More information

A Generic Process Calculus Approach to Relaxed-Memory Consistency

A Generic Process Calculus Approach to Relaxed-Memory Consistency A Generic Process Calculus Approach to Relaxed-Memory Consistency Palle Raabjerg Tjark Weber Nadine Rohde Lars-Henrik Eriksson Joachim Parrow UPMARC Workshop on Memory Models (MM 15) 23 24 February 2015,

More information

ABB STOTZ-KONTAKT GmbH ABB i-bus KNX Switch Actuators SA/S

ABB STOTZ-KONTAKT GmbH ABB i-bus KNX Switch Actuators SA/S place picture here STO/GM/GS Juli 2011 ABB STOTZ-KONTAKT GmbH ABB i-bus KNX Switch Actuators SA/S A Complete Range 15.11.2011 DESTO Jürgen Schilder 2 A Complete Range Switch Actuators are responsible for

More information

Additional questions for chapter 4

Additional questions for chapter 4 Additional questions for chapter 4 1. A stock price is currently $ 1. Over the next two six-month periods it is expected to go up by 1% or go down by 1%. The risk-free interest rate is 8% per annum with

More information

Semiconductor (AC) fuses

Semiconductor (AC) fuses 14x51 & 22x58 URC / URD - 600 to 690 VAC EXTREMELY BREAKING CAPACITY RATING FUSES: PROTECTION OF POWER SEMI CONDUCTORS COMPLYING WITH IEC STANDARD 60269.1 AND 4 600-690 V AC VOLTAGE RATING ar-class ACCORDING

More information

Scientic Computing 2013 Computer Classes: Worksheet 11: 1D FEM and boundary conditions

Scientic Computing 2013 Computer Classes: Worksheet 11: 1D FEM and boundary conditions Scientic Computing 213 Computer Classes: Worksheet 11: 1D FEM and boundary conditions Oleg Batrashev November 14, 213 This material partially reiterates the material given on the lecture (see the slides)

More information

ON SEQUENTIAL CONTINUITY OF COMPOSITION MAPPING. 0. Introduction

ON SEQUENTIAL CONTINUITY OF COMPOSITION MAPPING. 0. Introduction ON SEQUENTIAL CONTINUITY OF COMPOSITION MAPPING Abstract. In [1] there was proved a theorem concerning the continuity of the composition mapping, and there was announced a theorem on sequential continuity

More information

Runtime Enforcement of Timed Properties

Runtime Enforcement of Timed Properties Runtime Enforcement of Timed Properties Srinivas Pinisetty 1,Yliès Falcone 2, Thierry Jéron 1, Hervé Marchand 1, Antoine Rollet 3 and Omer Nguena Timo 3 INRIA Rennes - Bretagne Atlantique, France LIG,

More information

Exponentially concave functions and multiplicative cyclical monotonicity

Exponentially concave functions and multiplicative cyclical monotonicity Exponentially concave functions and multiplicative cyclical monotonicity W. Schachermayer University of Vienna Faculty of Mathematics 11th December, RICAM, Linz Based on the paper S. Pal, T.L. Wong: The

More information

4 The Rhumb Line and the Great Circle in Navigation

4 The Rhumb Line and the Great Circle in Navigation 4 The Rhumb Line and the Great Circle in Navigation 4.1 Details on Great Circles In fig. GN 4.1 two Great Circle/Rhumb Line cases are shown, one in each hemisphere. In each case the shorter distance between

More information

Fertility, Female Labor Force Participation, and the Demographic Dividend

Fertility, Female Labor Force Participation, and the Demographic Dividend Fertility, Female Labor Force Participation, and the Demographic Dividend David E. Bloom David Canning Günther Fink Jocelyn E. Finlay Program on the Global Demography of Aging Harvard School of Public

More information

The RADIANCE Lighting Simulation and Rendering System

The RADIANCE Lighting Simulation and Rendering System The RADIANCE Lighting Simulation and Rendering System Written by Gregory J. Ward Lighting Group Building Technologies Program Lawrence Berkeley Laboratory COMPUTER GRAPHICS Proceedings, Annual Conference

More information

Ifo Institute for Economic Research at the University of Munich. 6. The New Keynesian Model

Ifo Institute for Economic Research at the University of Munich. 6. The New Keynesian Model 6. The New Keynesian Model 1 6.1 The Baseline Model 2 Basic Concepts of the New Keynesian Model Markets are imperfect: Price and wage adjustments: contract duration, adjustment costs, imperfect expectations

More information

Limitation of Minimal Excitation Current by Load Angle Regulation

Limitation of Minimal Excitation Current by Load Angle Regulation Limitation of Minimal Excitation Current by Load Angle Regulation Tomislav Idzotic 1), Gorislav Erceg 2), Damir Sumina 3) Faculty of Electrical Engineering and Computing Unska 3, Zagreb, Croatia Tel. /

More information

About the Gamma Function

About the Gamma Function About the Gamma Function Notes for Honors Calculus II, Originally Prepared in Spring 995 Basic Facts about the Gamma Function The Gamma function is defined by the improper integral Γ) = The integral is

More information

Seminar 4: CHARGED PARTICLE IN ELECTROMAGNETIC FIELD. q j

Seminar 4: CHARGED PARTICLE IN ELECTROMAGNETIC FIELD. q j Seminar 4: CHARGED PARTICLE IN ELECTROMAGNETIC FIELD Introduction Let take Lagrange s equations in the form that follows from D Alembert s principle, ) d T T = Q j, 1) dt q j q j suppose that the generalized

More information

Finite dimensional topological vector spaces

Finite dimensional topological vector spaces Chapter 3 Finite dimensional topological vector spaces 3.1 Finite dimensional Hausdorff t.v.s. Let X be a vector space over the field K of real or complex numbers. We know from linear algebra that the

More information

High Power Infrared Emitting Diode, 940 nm, GaAlAs, MQW

High Power Infrared Emitting Diode, 940 nm, GaAlAs, MQW High Power Infrared Emitting Diode, 94 nm, GaAlAs, MQW DESCRIPTION 94 8389 is an infrared, 94 nm emitting diode in GaAlAs multi quantum well (MQW) technology with high radiant power and high speed molded

More information

ARSENIC IN DEEP GROUNDWATER: INSAR AND HYDROMECHANICAL MODELING IN THE MEKONG DELTA LAURA E. ERBAN 10.25.2013

ARSENIC IN DEEP GROUNDWATER: INSAR AND HYDROMECHANICAL MODELING IN THE MEKONG DELTA LAURA E. ERBAN 10.25.2013 ARSENIC IN DEEP GROUNDWATER: INSAR AND HYDROMECHANICAL MODELING IN THE MEKONG DELTA LAURA E. ERBAN 10.25.2013 ARSENIC IN ASIA COMMON ARSENIC SOURCE STUDY AREA MEKONG DELTA MEKONG DELTA CAMBODIA VIETNAM

More information

The Great Pyramid Architect Had A Secret. Abstract

The Great Pyramid Architect Had A Secret. Abstract The Great Pyramid Architect Had A Secret Joseph Turbeville MS Abstract This presentation offers powerful tabular evidence that the principal architect of the Great pyramid of Giza, in the era of the Old

More information

Computing the Symmetry Groups of the Platonic Solids With the Help of Maple

Computing the Symmetry Groups of the Platonic Solids With the Help of Maple Computing the Symmetry Groups of the Platonic Solids With the Help of Maple Patrick J. Morandi Department of Mathematical Sciences New Mexico State University Las Cruces NM 88003 USA pmorandi@nmsu.edu

More information

arxiv:math/0606467v2 [math.co] 5 Jul 2006

arxiv:math/0606467v2 [math.co] 5 Jul 2006 A Conjectured Combinatorial Interpretation of the Normalized Irreducible Character Values of the Symmetric Group arxiv:math/0606467v [math.co] 5 Jul 006 Richard P. Stanley Department of Mathematics, Massachusetts

More information

Gradient, Divergence and Curl in Curvilinear Coordinates

Gradient, Divergence and Curl in Curvilinear Coordinates Gradient, Divergence and Curl in Curvilinear Coordinates Although cartesian orthogonal coordinates are very intuitive and easy to use, it is often found more convenient to work with other coordinate systems.

More information

ABB i-bus KNX Switch Actuator, x-fold, 16 A, MDRC SA/S x.16.2.1, 2CDG1101xxR0011

ABB i-bus KNX Switch Actuator, x-fold, 16 A, MDRC SA/S x.16.2.1, 2CDG1101xxR0011 Technical Data 2CDC505051D0205 ABB i-bus KNX Product description Switch Actuators SA/S x.16.2.1, 16 A are modular installation devices in ProM design for installation in the distribution board. They are

More information

Boundary Conditions in lattice Boltzmann method

Boundary Conditions in lattice Boltzmann method Boundar Conditions in lattice Boltzmann method Goncalo Silva Department of Mechanical Engineering Instituto Superior Técnico (IST) Lisbon, Portugal Outline Introduction 1 Introduction Boundar Value Problems

More information

Distance measuring based on stereoscopic pictures

Distance measuring based on stereoscopic pictures 9th International Ph Workshop on Systems and Control: Young Generation Viewpoint 1. - 3. October 8, Izola, Slovenia istance measuring d on stereoscopic pictures Jernej Mrovlje 1 and amir Vrančić Abstract

More information

Elasticity Theory Basics

Elasticity Theory Basics G22.3033-002: Topics in Computer Graphics: Lecture #7 Geometric Modeling New York University Elasticity Theory Basics Lecture #7: 20 October 2003 Lecturer: Denis Zorin Scribe: Adrian Secord, Yotam Gingold

More information

Description. Dimensions. Features. www.pwb-encoders.com. precision works better

Description. Dimensions. Features. www.pwb-encoders.com. precision works better Description The MEC22 is a high resolution optical hollow shaft encoder that can be fixed quickly and easily on different sizes of motor shafts. The encoder provides two square wave outputs in quadrature

More information

Chapter 4 AC to AC Converters ( AC Controllers and Frequency Converters )

Chapter 4 AC to AC Converters ( AC Controllers and Frequency Converters ) Chapter 4 AC to AC Converters ( AC Controllers and Frequency Converters ) Classification of AC to AC converters Same frequency variable magnitude AC power AC controllers AC power Frequency converters (Cycloconverters)

More information

DEFINABLE TYPES IN PRESBURGER ARITHMETIC

DEFINABLE TYPES IN PRESBURGER ARITHMETIC DEFINABLE TYPES IN PRESBURGER ARITHMETIC GABRIEL CONANT Abstract. We consider the first order theory of (Z, +,

More information

Smooth functions statistics

Smooth functions statistics Smooth functions statistics V. I. rnold To describe the topological structure of a real smooth function one associates to it the graph, formed by the topological variety, whose points are the connected

More information

Test1. Due Friday, March 13, 2015.

Test1. Due Friday, March 13, 2015. 1 Abstract Algebra Professor M. Zuker Test1. Due Friday, March 13, 2015. 1. Euclidean algorithm and related. (a) Suppose that a and b are two positive integers and that gcd(a, b) = d. Find all solutions

More information

Fatigue crack propagation

Fatigue crack propagation 1 (20) Repetition Ð Crack initiation and growth Small cracks Shear driven Interact with microstructure Mostly analyzed by continuum mechanics approaches Large cracks Tension driven Fairly insensitive to

More information

Suggestions for simplified Fixed Capital Stock calculations at Statistics Sweden Michael Wolf, National Accounts Division Statistics Sweden

Suggestions for simplified Fixed Capital Stock calculations at Statistics Sweden Michael Wolf, National Accounts Division Statistics Sweden Capital Stock Conference March 1997 Agenda Item VI Suggestions for simplified Fixed Capital Stock calculations at Statistics Sweden Michael Wolf, National Accounts Division Statistics Sweden 1 Suggestions

More information

Modeling Beams on Elastic Foundations Using Plate Elements in Finite Element Method

Modeling Beams on Elastic Foundations Using Plate Elements in Finite Element Method Modeling Beams on Elastic Foundations Using Plate Elements in Finite Element Method Yun-gang Zhan School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang,

More information

Lecture 5. Electric Flux and Flux Density, Gauss Law in Integral Form

Lecture 5. Electric Flux and Flux Density, Gauss Law in Integral Form Lecture 5 Electric Flux and Flux ensity, Gauss Law in Integral Form ections: 3.1, 3., 3.3 Homework: ee homework file LECTURE 5 slide 1 Faraday s Experiment (1837), Flux charge transfer from inner to outer

More information

High Power Infrared Emitting Diode, 940 nm, GaAlAs/GaAs

High Power Infrared Emitting Diode, 940 nm, GaAlAs/GaAs TSAL51 High Power Infrared Emitting Diode, 94 nm, GaAlAs/GaAs DESCRIPTION 96 1155 TSAL51 is an infrared, 94 nm emitting diode in GaAlAs/GaAs technology with high radiant power, molded in a blue-gray plastic

More information

S-DOMAIN ANALYSIS: POLES, ZEROS, AND BODE PLOTS

S-DOMAIN ANALYSIS: POLES, ZEROS, AND BODE PLOTS S-DOMAIN ANAYSIS: POES, ZEROS, AND BODE POTS The main objectiveis to find amplifier voltage gain as a transfer function of the complex frequency s. In this s-domain analysis a capacitance С is replaced

More information

Complexity Theory. Jörg Kreiker. Summer term 2010. Chair for Theoretical Computer Science Prof. Esparza TU München

Complexity Theory. Jörg Kreiker. Summer term 2010. Chair for Theoretical Computer Science Prof. Esparza TU München Complexity Theory Jörg Kreiker Chair for Theoretical Computer Science Prof. Esparza TU München Summer term 2010 Lecture 8 PSPACE 3 Intro Agenda Wrap-up Ladner proof and time vs. space succinctness QBF

More information

Emergency stop As an emergency switching off/emergency stop device. Standards According to IEC/EN 60204-1, VDE 0113 Part 1

Emergency stop As an emergency switching off/emergency stop device. Standards According to IEC/EN 60204-1, VDE 0113 Part 1 MainswitchSurfacemounting Partno. P3-63/I4/SVB Articleno. 207343 CatalogNo. SP3-063-I4CRQ IP65 Deliveryprogramme Product range Switch-disconnectors Basic function Main switches Maintenance switches Manual

More information

FOOTING DESIGN EXAMPLE

FOOTING DESIGN EXAMPLE County: Any Design: BRG Date: 10/007 Hwy: Any Ck Dsn: BRG Date: 10/007 FOOTING DESIGN EXAMPLE Design: Based on AASHTO LRFD 007 Specifications, TxDOT LRFD Bridge Design Manual, and TxDOT Project 0-4371

More information

Mapping Global Value Chains

Mapping Global Value Chains Mapping Global Value Chains Koen De Backer Sébastien Miroudot OECD Final WIOD Conference: Causes and Consequences of Globalization Groningen, The Netherlands, April 24-26, 2012. Why focusing on GVCs? A

More information

THE ELECTROMAGNETIC FIELD DUE TO THE ELECTRONS.

THE ELECTROMAGNETIC FIELD DUE TO THE ELECTRONS. THE ELECTROMAGNETIC FIELD DUE TO THE ELECTRONS 367 Proceedings of the London Mathematical Society Vol 1 1904 p 367-37 (Retyped for readability with same page breaks) ON AN EXPRESSION OF THE ELECTROMAGNETIC

More information

A Quantitative Approach to Security Monitor Deployment

A Quantitative Approach to Security Monitor Deployment A Quantitative Approach to Security Monitor Deployment Uttam Thakore PI: William H. Sanders Problem Intrusion detection requires adequate monitoring Monitors must collect sufficient information about intrusions

More information

TREATY BETWEEN THE REPUBLIC OF SLOVENIA AND THE REPUBLIC OF CROATIA ON THE COMMON STATE BORDER

TREATY BETWEEN THE REPUBLIC OF SLOVENIA AND THE REPUBLIC OF CROATIA ON THE COMMON STATE BORDER TRANSLATION TREATY BETWEEN THE REPUBLIC OF SLOVENIA AND THE REPUBLIC OF CROATIA ON THE COMMON STATE BORDER The Republic of Slovenia and the Republic of Croatia (hereinafter referred to as "the Contracting

More information

High Intensity SMD LED High Intensity SMD LED

High Intensity SMD LED High Intensity SMD LED High Intensity SMD LED High Intensity SMD LED TLME31 Color Type Technology Angle of Half Intensity ± Yellow TLME31 AlInGaP on GaAs 6 Description This device has been designed to meet the increasing demand

More information

SIAMUF seminar Aspenäs herrgård, Lerum, October 20-21, 2005

SIAMUF seminar Aspenäs herrgård, Lerum, October 20-21, 2005 SIAMUF seminar Aspenäs herrgård, Lerum, October 20-21, 2005 Instabilities in Boiling Water Reactors and analysis of flashing-induced instabilities at the CIRCUS test facility C. Demazière Department of

More information

Vector Calculus Solutions to Sample Final Examination #1

Vector Calculus Solutions to Sample Final Examination #1 Vector alculus s to Sample Final Examination #1 1. Let f(x, y) e xy sin(x + y). (a) In what direction, starting at (,π/), is f changing the fastest? (b) In what directions starting at (,π/) is f changing

More information

Physics 1120: Simple Harmonic Motion Solutions

Physics 1120: Simple Harmonic Motion Solutions Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Physics 1120: Simple Harmonic Motion Solutions 1. A 1.75 kg particle moves as function of time as follows: x = 4cos(1.33t+π/5) where distance is measured

More information

III. Compression Members. Design of Steel Structures. Introduction. Compression Members (cont.)

III. Compression Members. Design of Steel Structures. Introduction. Compression Members (cont.) ENCE 455 Design of Steel Structures III. Compression Members C. C. Fu, Ph.D., P.E. Civil and Environmental Engineering Department University it of Maryland Compression Members Following subjects are covered:

More information

Quantifying voter-controlled privacy

Quantifying voter-controlled privacy Quantifying voter-controlled privacy Hugo Jonker in collaboration with Sjouke Mauw and Jun Pang hugojonker@unilu SaToSS group, University of Luxembourg Universität zu Lübeck, 28 September 2009 Quantifying

More information

Magnetic susceptibility. Basic principles and features on the PPMS.

Magnetic susceptibility. Basic principles and features on the PPMS. Magnetic susceptibility. Basic principles and features on the PPMS. Experimental methods: DC Magnetometry AC Magnetometry Torque Magnetometry Heat Capacity 1. DC Magnetometry. Basic principles. DC magnetic

More information

StateFlow Hands On Tutorial

StateFlow Hands On Tutorial StateFlow Hands On Tutorial HS/PDEEC 2010 03 04 José Pinto zepinto@fe.up.pt Session Outline Simulink and Stateflow Numerical Simulation of ODEs Initial Value Problem (Hands on) ODEs with resets (Hands

More information

Topologically Massive Gravity with a Cosmological Constant

Topologically Massive Gravity with a Cosmological Constant Topologically Massive Gravity with a Cosmological Constant Derek K. Wise Joint work with S. Carlip, S. Deser, A. Waldron Details and references at arxiv:0803.3998 [hep-th] (or for the short story, 0807.0486,

More information

SAMPLE OF THE STUDY MATERIAL PART OF CHAPTER 3. Symmetrical Components & Faults Calculations

SAMPLE OF THE STUDY MATERIAL PART OF CHAPTER 3. Symmetrical Components & Faults Calculations SAMPLE OF THE STUDY MATERIAL PART OF CHAPTER 3 3.0 Introduction Fortescue's work proves that an unbalanced system of 'n' related phasors can be resolved into 'n' systems of balanced phasors called the

More information

9.916 Altruism and Cooperation

9.916 Altruism and Cooperation 9.916 Altruism and Cooperation Today s Lecture I give everyone $10 Anonymous pairs Chance to send $0-$10 Anything you send, x3 How much do you send Puzzle of altruism: How could it evolve free-riders should

More information

A Classical Monetary Model - Money in the Utility Function

A Classical Monetary Model - Money in the Utility Function A Classical Monetary Model - Money in the Utility Function Jarek Hurnik Department of Economics Lecture III Jarek Hurnik (Department of Economics) Monetary Economics 2012 1 / 24 Basic Facts So far, the

More information

Analog and Digital Signals, Time and Frequency Representation of Signals

Analog and Digital Signals, Time and Frequency Representation of Signals 1 Analog and Digital Signals, Time and Frequency Representation of Signals Required reading: Garcia 3.1, 3.2 CSE 3213, Fall 2010 Instructor: N. Vlajic 2 Data vs. Signal Analog vs. Digital Analog Signals

More information

Math, Trigonometry and Vectors. Geometry. Trig Definitions. sin(θ) = opp hyp. cos(θ) = adj hyp. tan(θ) = opp adj. Here's a familiar image.

Math, Trigonometry and Vectors. Geometry. Trig Definitions. sin(θ) = opp hyp. cos(θ) = adj hyp. tan(θ) = opp adj. Here's a familiar image. Math, Trigonometr and Vectors Geometr Trig Definitions Here's a familiar image. To make predictive models of the phsical world, we'll need to make visualizations, which we can then turn into analtical

More information

Introduction to the Finite Element Method

Introduction to the Finite Element Method Introduction to the Finite Element Method 09.06.2009 Outline Motivation Partial Differential Equations (PDEs) Finite Difference Method (FDM) Finite Element Method (FEM) References Motivation Figure: cross

More information

Matlab Based Interactive Simulation Program for 2D Multisegment Mechanical Systems

Matlab Based Interactive Simulation Program for 2D Multisegment Mechanical Systems Matlab Based Interactive Simulation Program for D Multisegment Mechanical Systems Henryk Josiński,, Adam Świtoński,, Karol Jędrasiak, Andrzej Polański,, and Konrad Wojciechowski, Polish-Japanese Institute

More information

Programming with TI-Nspire

Programming with TI-Nspire 1 By: Brian Olesen BO@haslev-gym.dk Pilot teacher at Haslev Gymnasium and HF Skolegade 31 4690 Haslev Denmark 2 1. Introduction to the Program Editor Functions and Programs are found in the menu of the

More information

Rotation Kinematics, Moment of Inertia, and Torque

Rotation Kinematics, Moment of Inertia, and Torque Rotaton Knematcs, Moment of Inerta, and Torque Mathematcally, rotaton of a rgd body about a fxed axs s analogous to a lnear moton n one dmenson. Although the physcal quanttes nvolved n rotaton are qute

More information

DIMENSIONING OF CURRENT TRANSFORMERS FOR PROTECTON APPLICATION

DIMENSIONING OF CURRENT TRANSFORMERS FOR PROTECTON APPLICATION ÿþ üûúùø öõöôùóùõò CT Dimensioning DIMENSIONING OF CURRENT TRANSFORMERS FOR PROTECTON APPLICATION Application note GER3973 1 CT Dimensioning ÿþ üûúùø öõöôùóùõò GER-3973 Application note ÿþ üûúùø öõöôùóùõò

More information

THE GENERALIZED RECURRENT WEYL SPACES HAVING A DECOMPOSABLE CURVATURE TENSOR

THE GENERALIZED RECURRENT WEYL SPACES HAVING A DECOMPOSABLE CURVATURE TENSOR International Mathematical Forum, 1, 2006, no. 4, 165-174 THE GENERALIZED RECURRENT WEYL SPACES HAVING A DECOMPOSABLE CURVATURE TENSOR Hakan Demirbüker and Fatma Öztürk Faculty of Science and Letters Davutpaşa,

More information

ELEKTROTECHNISCHE WERKE FRITZ DRIESCHER & SÖHNE GMBH D-85366 MOOSBURG TEL. +49 87 61 6 81-0 FAX +49 87 61 68 12 30

ELEKTROTECHNISCHE WERKE FRITZ DRIESCHER & SÖHNE GMBH D-85366 MOOSBURG TEL. +49 87 61 6 81-0 FAX +49 87 61 68 12 30 40 DRIESCHER - Low voltage fusedswitch-disconnector system 40 Rated current upto 445 A 40 84 40 40 ELEKTROTECHNISCHE WERKE FRITZ DRIESCHER & SÖHNE GMBH D-8566 MOOSBURG TEL. +49 87 6 6 8-0 FAX +49 87 6

More information

THE SQUARE PARTIAL SUMS OF THE FOURIER TRANSFORM OF RADIAL FUNCTIONS IN THREE DIMENSIONS

THE SQUARE PARTIAL SUMS OF THE FOURIER TRANSFORM OF RADIAL FUNCTIONS IN THREE DIMENSIONS Scientiae Mathematicae Japonicae Online, Vol. 5,, 9 9 9 THE SQUARE PARTIAL SUMS OF THE FOURIER TRANSFORM OF RADIAL FUNCTIONS IN THREE DIMENSIONS CHIKAKO HARADA AND EIICHI NAKAI Received May 4, ; revised

More information

Matrix Representations of Linear Transformations and Changes of Coordinates

Matrix Representations of Linear Transformations and Changes of Coordinates Matrix Representations of Linear Transformations and Changes of Coordinates 01 Subspaces and Bases 011 Definitions A subspace V of R n is a subset of R n that contains the zero element and is closed under

More information

Full representation of the real transformer

Full representation of the real transformer TRASFORMERS EQVALET CRCT OF TWO-WDG TRASFORMER TR- Dots show the points of higher potential. There are applied following conventions of arrow directions: -for primary circuit -the passive sign convention

More information

UPSETTING OF BIMETALLIC COMPONENTS IN CLOSED DIE

UPSETTING OF BIMETALLIC COMPONENTS IN CLOSED DIE Engineering Review Vol. 31, Issue 2, 105-109, 2011. 105 UDC 621.961:621.792.3:539.378.2 UPSETTING OF BIMETALLIC COMPONENTS IN CLOSED DIE Miroslav PLANČAK Zlatan CAR Dragiša VILOTIĆ Dejan MOVRIN Marko KRŠULJA

More information

Walrasian Demand. u(x) where B(p, w) = {x R n + : p x w}.

Walrasian Demand. u(x) where B(p, w) = {x R n + : p x w}. Walrasian Demand Econ 2100 Fall 2015 Lecture 5, September 16 Outline 1 Walrasian Demand 2 Properties of Walrasian Demand 3 An Optimization Recipe 4 First and Second Order Conditions Definition Walrasian

More information

Ultrabright White LED, Ø 3 mm

Ultrabright White LED, Ø 3 mm Ultrabright White LED, Ø 3 mm DESCRIPTION The VLHW41 series is a clear, untinted 3 mm LED for high end applications where supreme luminous intensity is required. These lamps utilize the highly developed

More information

Surface Mount Ceramic Chip Antennas for 868 MHz

Surface Mount Ceramic Chip Antennas for 868 MHz VJ561M868MXBSR Surface Mount Ceramic Chip Antennas for 868 MHz VJ561M868MXBSR chip antenna product Vishay VJ561M868MXBSR chip antennas are covered by one or more of the following patents: WO2825262 (A1),

More information

FIELD THEORY OF ISING PERCOLATING CLUSTERS

FIELD THEORY OF ISING PERCOLATING CLUSTERS UK Meeting on Integrable Models and Conformal Field heory University of Kent, Canterbury 16-17 April 21 FIELD HEORY OF ISING PERCOLAING CLUSERS Gesualdo Delfino SISSA-rieste Based on : GD, Nucl.Phys.B

More information

Two primary advantages of radars: all-weather and day /night imaging

Two primary advantages of radars: all-weather and day /night imaging Lecture 0 Principles of active remote sensing: Radars. Objectives: 1. Radar basics. Main types of radars.. Basic antenna parameters. Required reading: G: 8.1, p.401-40 dditional/advanced reading: Online

More information

ABB i-bus KNX SA/S Switch Actuators Product Manual

ABB i-bus KNX SA/S Switch Actuators Product Manual ABB i-bus KNX SA/S Switch Actuators Product Manual Contents Contents Page 1 General... 5 1.1 Using the product manual...5 1.1.1 Structure of the product manual...6 1.1.2 Notes...6 1.2 Product and functional

More information

SIXTY STUDY QUESTIONS TO THE COURSE NUMERISK BEHANDLING AV DIFFERENTIALEKVATIONER I

SIXTY STUDY QUESTIONS TO THE COURSE NUMERISK BEHANDLING AV DIFFERENTIALEKVATIONER I Lennart Edsberg, Nada, KTH Autumn 2008 SIXTY STUDY QUESTIONS TO THE COURSE NUMERISK BEHANDLING AV DIFFERENTIALEKVATIONER I Parameter values and functions occurring in the questions belowwill be exchanged

More information

MOSFET DEVICE MODELING FOR ANALOG CIRCUITS DESIGN

MOSFET DEVICE MODELING FOR ANALOG CIRCUITS DESIGN MOSFET DEVICE MODELING FOR ANALOG CIRCUITS DESIGN Student name: Truong, Long Giang Student #: 970304580 Course: ECE1352F 1. INTRODUCTION The technological trend towards deep sub-micrometer dimensions,

More information

MINIMIZATION OF ENTROPY FUNCTIONALS UNDER MOMENT CONSTRAINTS. denote the family of probability density functions g on X satisfying

MINIMIZATION OF ENTROPY FUNCTIONALS UNDER MOMENT CONSTRAINTS. denote the family of probability density functions g on X satisfying MINIMIZATION OF ENTROPY FUNCTIONALS UNDER MOMENT CONSTRAINTS I. Csiszár (Budapest) Given a σ-finite measure space (X, X, µ) and a d-tuple ϕ = (ϕ 1,..., ϕ d ) of measurable functions on X, for a = (a 1,...,

More information

Embedded Retaining Wall Design Engineering or Paradox?

Embedded Retaining Wall Design Engineering or Paradox? Embedded Retaining Wall Design Engineering or Paradox? A personal viewpoint by A.Y. Chmoulian, associate at Royal Haskoning Introduction Retaining wall design theory is a complicated subject with a long

More information

ESTABLISHMENT OF A PERMANENT GPS STATION AT THE DEPARTMENT OF GEODESY AND SURVEYING OF THE BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS

ESTABLISHMENT OF A PERMANENT GPS STATION AT THE DEPARTMENT OF GEODESY AND SURVEYING OF THE BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS PERIODICA POLYTECHNICA SER. CIV. ENG. VOL. 46, NO. 2, PP. 179 184 (2002) ESTABLISHMENT OF A PERMANENT GPS STATION AT THE DEPARTMENT OF GEODESY AND SURVEYING OF THE BUDAPEST UNIVERSITY OF TECHNOLOGY AND

More information

Technical data UNIBLOCK UBSF 180 625

Technical data UNIBLOCK UBSF 180 625 Data TECHNICL DT Technical data UNIBLOCK UBSF 80 6 Output data Type UBSF 80 UBSF 0 UBSF 00 UBSF 6 Output power 80 kv 0 kv 00 kv 6 kv Output voltage 80/77 V 0/ V 0/ V 0/ V Output current 7 8 66 80 Power

More information

Public Key Cryptography: RSA and Lots of Number Theory

Public Key Cryptography: RSA and Lots of Number Theory Public Key Cryptography: RSA and Lots of Number Theory Public vs. Private-Key Cryptography We have just discussed traditional symmetric cryptography: Uses a single key shared between sender and receiver

More information

p e i 1 [p e i i ) = i=1

p e i 1 [p e i i ) = i=1 Homework 1 Solutions - Sri Raga Velagapudi Algebra Section 1. Show that if n Z then for every integer a with gcd(a, n) = 1, there exists a unique x mod n such that ax = 1 mod n. By the definition of gcd,

More information

Lecture 8 - Turbulence. Applied Computational Fluid Dynamics

Lecture 8 - Turbulence. Applied Computational Fluid Dynamics Lecture 8 - Turbulence Applied Computational Fluid Dynamics Instructor: André Bakker http://www.bakker.org André Bakker (2002-2006) Fluent Inc. (2002) 1 Turbulence What is turbulence? Effect of turbulence

More information

Complementary Code Keying with PIC Based Microcontrollers For The Wireless Radio Communications

Complementary Code Keying with PIC Based Microcontrollers For The Wireless Radio Communications Complementary Code Keying with PIC Based Microcontrollers For The Wireless Radio Communications Boris Ribov, Grisha Spasov Abstract: The IEEE 802.11b is a Direct Sequence Spread Spectrum (DSSS) system

More information

On Recognizable Timed Languages FOSSACS 2004

On Recognizable Timed Languages FOSSACS 2004 On Recognizable Timed Languages Oded Maler VERIMAG Grenoble France Amir Pnueli NYU and Weizmann New York and Rehovot USA FOSSACS 2004 Nutrition Facts Classical (Untimed) Recognizability Timed Languages

More information

A Note on the Bertsimas & Sim Algorithm for Robust Combinatorial Optimization Problems

A Note on the Bertsimas & Sim Algorithm for Robust Combinatorial Optimization Problems myjournal manuscript No. (will be inserted by the editor) A Note on the Bertsimas & Sim Algorithm for Robust Combinatorial Optimization Problems Eduardo Álvarez-Miranda Ivana Ljubić Paolo Toth Received:

More information

Elliptical copulae. Dorota Kurowicka, Jolanta Misiewicz, Roger Cooke

Elliptical copulae. Dorota Kurowicka, Jolanta Misiewicz, Roger Cooke Elliptical copulae Dorota Kurowicka, Jolanta Misiewicz, Roger Cooke Abstract: In this paper we construct a copula, that is, a distribution with uniform marginals. This copula is continuous and can realize

More information