The LWR Model in Lagrangian coordinates
|
|
- Agnete Marcussen
- 4 år siden
- Visninger:
Transkript
1 The LWR Model in Lagrangian coordinaes ACI-NIM: Mah Models on Traffic Flow Ludovic Leclercq, LICIT (ENTPE/INRETS) Jorge Laval, Georgiaech Universiy 31 ocober 2007 INRETS
2 Ouline Lagrangian resoluion of he homogeneous LWR model Exension o heerogeneous flow Numerical examples 2
3 The Homogeneous case
4 The LWR model Variables: k, densiy; v, speed; q=kv, flow Conservaion equaion: k + kv = 0 x q q m a: Flow/densiy relaionship Q Fundamenal diagram (FD): v = V ( k) or q = kv ( k) = Q( k) v m -w k c k m k The model can be synhesized as a scalar hyperbolic equaion: k + Q( k) = 0 x The Godunov scheme is classically used for numerical resoluion 4
5 The cumulaive coun funcion N(x,) N(x,) represens he cumulaive number of vehicles ha cross locaion x by ime k=- x N and q= N The conservaion equaion reduces o: x, N=,x N (exisence of N) The LWR model can hen be expressed as: N = Q( N) Hamilon-Jacobi equaion x (x,) Eulerian coordinaes (N,) Lagrangian coordinaes 5
6 The LWR Model in (N,) coordinaes as a conservaion law Variables: s=1/k, spacing; N(x,), cumulaive coun funcion The conservaion equaion becomes : s + v = 0 N v v m b: Speed/spacing relaionship V * FD can be expressed as : v = V s = V s * (1/ ) ( ) wk m s m =1/k m s c =1/k c s The model reduces o a scalar hyperbolic equaion: s + V * ( s) = 0 x 6
7 The LWR model in (N,) coordinaes as a variaional principle Le X(n,) be he inverse of N(x,) (X is obained by solving for x in n=n(x,)) X(n,) represens he rajecory of vehicle n X * X X verifies: = V (Hamilon-Jacobi equaion) N The model soluions in X also saisfy a leas-cos pah problem 7
8 Definiion of he leas-cos pah problem in (N,) Valid Pahs are locaions in (N,) where s is consan ( o characerisics in (x,)) Pah Slopes passing raes Pah Coss inercep c V*(s) c n s min s 0 c Passing rae X(n,) s c 8
9 Numerical resoluion using he variaional principle When he FD is riangular, only wo pahs have o be considered: free-flow pah (slope: 0 ; cos: v m ) congesed pah (slope: wk x ; cos: -w) V*(s) v m wk x 0 n -w s min s n n- n X(n,) X(n- n,) 0 wk x X(n,+ ) (, ) m (, ) X n + v X ( n, + ) = min X n n w wih = n / wk x Iniial nodes + This scheme is exac as each node is linked by a valid pah 9
10 Advanages of (N,) coordinaes (1) when n=1 he oupus are vehicle rajecories (carfollowing model) vehicle characerisics can hen be easily incorporaed: desinaion own characerisics (desired speed, size, reacion ime) when n>1 mesoscopic models n<1 moving boundary condiions 10
11 Advanages of (N,) coordinaes (2) v q wk x v m w n Lagrangian approach s x Eulerian approach k n A recangular laice only requires = n/wk x A recangular laice requires v m /w o be an ineger 11
12 Muliclasse in Lagrangian Framework
13 Principle Define a specific FD for each Lagrangian cell ( n=1) Each vehicle ype i is defined by hree parameers: The free-flow speed v m,i The jam densiy k x,i ( inverse of vehicle size) The wave-speed w i n a: Grid in (n,) plane n+ n n n- n Cell i+1 Cell i Cell i-1 n Flow [veh/s] v m,i w i + Densiy [veh/m] k x,i 13
14 Numerical resoluion using he variaional principle Free-flow pah: only he cos (v m,i ) is modified Congesed pah: he slope (w i k x,i ) and he cos (-w i ) are modified n n X(n,) 0 X(n,+ ) Slope modificaions change he srucure of he nework n-1 X(n-1,) w i k x,i wk x This poin is no on he nework grid => he value of X is unknown Iniial nodes + 14
15 X value esimaion soluion 1 Assume ha he spacing is uniform beween n and n-1 a ime and esimae he X value: ( ) ( 1 α ) (, ) α ( 1, ) wih α, X = X n + X n = w k i i i i m i The numerical scheme does no remain exac 15
16 X value esimaion soluion 2 Sore he X values a previous ime seps and look for he ime when he congesed pah join a nework node n n n-1 X(n,) X(n-1,) w i k x,i 0 X(n,+ ) This is possible if for each vehicle: w i is he same he raio k x,i /max(k x,i ) is an ineger Iniial nodes + Under hese assumpions, he numerical scheme is exac 16
17 Numerical examples
18 Case of sudy One-lane road Cars and rucks wih specific FDs A consan flow rae a he 0.7 enry (1080 veh/h) 0.6 Composiion: 0-150s: 90% cars, 10% rucks 150s-350s: 60% cars, 40% rucks A raffic signal (cycle=90s, green ime=60s) Flow [veh/s] u=20 m/s u=12 m/s Trucks Cars Densiy [veh/m] 18
19 Variaional scheme 800 (Cars = 90% ; Trucks = 10%) (Cars = 60% ; Trucks = 40%) Space [m] Time [s] 19
20 Simulaion Wihou lane-changing: Coupled wih a lane-changing model: 20
21 Conclusion on Lagrangian approach oupu are vehicle rajecories. This makes i easier o incorporae exensions such as: origin/desinaion differen vehicle ypes moving bolenecks Allow a direc exension o heerogenous flow: Parsimonious and easy o calibrae (FD by vehicle ype) Exac under lile resricive assumpions (riangular FD, consan w, ineger raio beween jam densiies) Fully compaible wih exising exension of he LWR model and especially lane-changing one (Laval and Leclercq, 2007) 21
22 Thank you for your aenion 22
Basic statistics for experimental medical researchers
Basic statistics for experimental medical researchers Sample size calculations September 15th 2016 Christian Pipper Department of public health (IFSV) Faculty of Health and Medicinal Science (SUND) E-mail:
Læs mereParticle-based T-Spline Level Set Evolution for 3D Object Reconstruction with Range and Volume Constraints
Particle-based T-Spline Level Set for 3D Object Reconstruction with Range and Volume Constraints Robert Feichtinger (joint work with Huaiping Yang, Bert Jüttler) Institute of Applied Geometry, JKU Linz
Læs merePARALLELIZATION OF ATTILA SIMULATOR WITH OPENMP MIGUEL ÁNGEL MARTÍNEZ DEL AMOR MINIPROJECT OF TDT24 NTNU
PARALLELIZATION OF ATTILA SIMULATOR WITH OPENMP MIGUEL ÁNGEL MARTÍNEZ DEL AMOR MINIPROJECT OF TDT24 NTNU OUTLINE INEFFICIENCY OF ATTILA WAYS TO PARALLELIZE LOW COMPATIBILITY IN THE COMPILATION A SOLUTION
Læs mereTimetable will be aviable after sep. 5. when the sing up ends. Provicius timetable on the next sites.
English Information about the race. Practise Friday oct. 9 from 12.00 to 23.00 Saturday oct. 10. door open at 8.00 to breakfast/coffee Both days it will be possible to buy food and drinks in the racecenter.
Læs mereLinear Programming ١ C H A P T E R 2
Linear Programming ١ C H A P T E R 2 Problem Formulation Problem formulation or modeling is the process of translating a verbal statement of a problem into a mathematical statement. The Guidelines of formulation
Læs mereDoodleBUGS (Hands-on)
DoodleBUGS (Hands-on) Simple example: Program: bino_ave_sim_doodle.odc A simulation example Generate a sample from F=(r1+r2)/2 where r1~bin(0.5,200) and r2~bin(0.25,100) Note that E(F)=(100+25)/2=62.5
Læs mereAktivering af Survey funktionalitet
Surveys i REDCap REDCap gør det muligt at eksponere ét eller flere instrumenter som et survey (spørgeskema) som derefter kan udfyldes direkte af patienten eller forsøgspersonen over internettet. Dette
Læs mereFejlbeskeder i SMDB. Business Rules Fejlbesked Kommentar. Validate Business Rules. Request- ValidateRequestRegist ration (Rules :1)
Fejlbeskeder i SMDB Validate Business Rules Request- ValidateRequestRegist ration (Rules :1) Business Rules Fejlbesked Kommentar the municipality must have no more than one Kontaktforløb at a time Fejl
Læs mereProject Step 7. Behavioral modeling of a dual ported register set. 1/8/ L11 Project Step 5 Copyright Joanne DeGroat, ECE, OSU 1
Project Step 7 Behavioral modeling of a dual ported register set. Copyright 2006 - Joanne DeGroat, ECE, OSU 1 The register set Register set specifications 16 dual ported registers each with 16- bit words
Læs mereMandara. PebbleCreek. Tradition Series. 1,884 sq. ft robson.com. Exterior Design A. Exterior Design B.
Mandara 1,884 sq. ft. Tradition Series Exterior Design A Exterior Design B Exterior Design C Exterior Design D 623.935.6700 robson.com Tradition Series Exterior Design A w/opt. Golf Cart Garage Exterior
Læs mereMandara. PebbleCreek. Tradition Series. 1,884 sq. ft robson.com. Exterior Design A. Exterior Design B.
Mandara 1,884 sq. ft. Tradition Series Exterior Design A Exterior Design B Exterior Design C Exterior Design D 623.935.6700 robson.com Tradition OPTIONS Series Exterior Design A w/opt. Golf Cart Garage
Læs mereThe X Factor. Målgruppe. Læringsmål. Introduktion til læreren klasse & ungdomsuddannelser Engelskundervisningen
The X Factor Målgruppe 7-10 klasse & ungdomsuddannelser Engelskundervisningen Læringsmål Eleven kan give sammenhængende fremstillinger på basis af indhentede informationer Eleven har viden om at søge og
Læs mereBusiness Rules Fejlbesked Kommentar
Fejlbeskeder i SMDB Validate Business Request- ValidateRequestRegi stration ( :1) Business Fejlbesked Kommentar the municipality must have no more than one Kontaktforløb at a time Fejl 1: Anmodning En
Læs mereVina Nguyen HSSP July 13, 2008
Vina Nguyen HSSP July 13, 2008 1 What does it mean if sets A, B, C are a partition of set D? 2 How do you calculate P(A B) using the formula for conditional probability? 3 What is the difference between
Læs mereTitel: Barry s Bespoke Bakery
Titel: Tema: Kærlighed, kager, relationer Fag: Engelsk Målgruppe: 8.-10.kl. Data om læremidlet: Tv-udsendelse: SVT2, 03-08-2014, 10 min. Denne pædagogiske vejledning indeholder ideer til arbejdet med tema
Læs mereFejlbeskeder i Stofmisbrugsdatabasen (SMDB)
Fejlbeskeder i Stofmisbrugsdatabasen (SMDB) Oversigt over fejlbeskeder (efter fejlnummer) ved indberetning til SMDB via webløsning og via webservices (hvor der dog kan være yderligere typer fejlbeskeder).
Læs mereBrug sømbrættet til at lave sjove figurer. Lav fx: Få de andre til at gætte, hvad du har lavet. Use the nail board to make funny shapes.
Brug sømbrættet til at lave sjove figurer. Lav f: Et dannebrogsflag Et hus med tag, vinduer og dør En fugl En bil En blomst Få de andre til at gætte, hvad du har lavet. Use the nail board to make funn
Læs mereHvor er mine runde hjørner?
Hvor er mine runde hjørner? Ofte møder vi fortvivlelse blandt kunder, når de ser deres nye flotte site i deres browser og indser, at det ser anderledes ud, i forhold til det design, de godkendte i starten
Læs mereGeneralized Probit Model in Design of Dose Finding Experiments. Yuehui Wu Valerii V. Fedorov RSU, GlaxoSmithKline, US
Generalized Probit Model in Design of Dose Finding Experiments Yuehui Wu Valerii V. Fedorov RSU, GlaxoSmithKline, US Outline Motivation Generalized probit model Utility function Locally optimal designs
Læs mereEngelsk. Niveau C. De Merkantile Erhvervsuddannelser September 2005. Casebaseret eksamen. www.jysk.dk og www.jysk.com.
052430_EngelskC 08/09/05 13:29 Side 1 De Merkantile Erhvervsuddannelser September 2005 Side 1 af 4 sider Casebaseret eksamen Engelsk Niveau C www.jysk.dk og www.jysk.com Indhold: Opgave 1 Presentation
Læs merePrivat-, statslig- eller regional institution m.v. Andet Added Bekaempelsesudfoerende: string No Label: Bekæmpelsesudførende
Changes for Rottedatabasen Web Service The coming version of Rottedatabasen Web Service will have several changes some of them breaking for the exposed methods. These changes and the business logic behind
Læs mereRAVE. The New Radar Motion Sensor Rated IP67: Optimized for Harsh Outdoor Applications
RAVE The New Radar Motion Sensor Rated IP67: Optimized for Harsh Outdoor Applications Product Presentation RAVE radar motion sensor In addition to the RaDec and RMS product families, the new RAVE radar
Læs mereOn the complexity of drawing trees nicely: corrigendum
Acta Informatica 40, 603 607 (2004) Digital Object Identifier (DOI) 10.1007/s00236-004-0138-y On the complexity of drawing trees nicely: corrigendum Thorsten Akkerman, Christoph Buchheim, Michael Jünger,
Læs mereECE 551: Digital System * Design & Synthesis Lecture Set 5
ECE 551: Digital System * Design & Synthesis Lecture Set 5 5.1: Verilog Behavioral Model for Finite State Machines (FSMs) 5.2: Verilog Simulation I/O and 2001 Standard (In Separate File) 3/4/2003 1 ECE
Læs mereEngineering of Chemical Register Machines
Prague International Workshop on Membrane Computing 2008 R. Fassler, T. Hinze, T. Lenser and P. Dittrich {raf,hinze,thlenser,dittrich}@minet.uni-jena.de 2. June 2008 Outline 1 Motivation Goal Realization
Læs mereSkriftlig Eksamen Kombinatorik, Sandsynlighed og Randomiserede Algoritmer (DM528)
Skriftlig Eksamen Kombinatorik, Sandsynlighed og Randomiserede Algoritmer (DM58) Institut for Matematik og Datalogi Syddansk Universitet, Odense Torsdag den 1. januar 01 kl. 9 13 Alle sædvanlige hjælpemidler
Læs mereIS THE RATIO OF VELOCITY TO SPEED OF SOUND
MACH NUMBER, M HE MACH NUMBER IS HE RAIO OF ELOCIY O SPEED OF SOUND RELAES DIRECED KINEIC ENERGY O INERNAL ENERGY IS A NON-DIMENSIONAL MEASURE OF FLOW COMPRESSIBILIY. M a FLOW REGIMES SUBSONIC AND SUPERSONIC
Læs mereEngelsk. Niveau D. De Merkantile Erhvervsuddannelser September Casebaseret eksamen. og
052431_EngelskD 08/09/05 13:29 Side 1 De Merkantile Erhvervsuddannelser September 2005 Side 1 af 4 sider Casebaseret eksamen Engelsk Niveau D www.jysk.dk og www.jysk.com Indhold: Opgave 1 Presentation
Læs mereIBM Network Station Manager. esuite 1.5 / NSM Integration. IBM Network Computer Division. tdc - 02/08/99 lotusnsm.prz Page 1
IBM Network Station Manager esuite 1.5 / NSM Integration IBM Network Computer Division tdc - 02/08/99 lotusnsm.prz Page 1 New esuite Settings in NSM The Lotus esuite Workplace administration option is
Læs mereSign variation, the Grassmannian, and total positivity
Sign variation, the Grassmannian, and total positivity arxiv:1503.05622 Slides available at math.berkeley.edu/~skarp Steven N. Karp, UC Berkeley FPSAC 2015 KAIST, Daejeon Steven N. Karp (UC Berkeley) Sign
Læs mereTM4 Central Station. User Manual / brugervejledning K2070-EU. Tel Fax
TM4 Central Station User Manual / brugervejledning K2070-EU STT Condigi A/S Niels Bohrs Vej 42, Stilling 8660 Skanderborg Denmark Tel. +45 87 93 50 00 Fax. +45 87 93 50 10 info@sttcondigi.com www.sttcondigi.com
Læs mereLarge time behavior of solutions for a complex-valued quadratic heat equation
Nonlinear Differ. Equ. Appl. 5, 5 45 c 5 Springer Basel -97/5/55-4 published online March 5, 5 DOI.7/s3-5-3-7 Nonlinear Differenial Equaions and Applicaions NoDEA Large ime behavior of soluions for a complex-valued
Læs mereDeepak Kumar Dubey, V. K. Jain RATE OF APPROXIMATION FOR INTEGRATED SZASZ-MIRAKYAN OPERATORS
DEMONSTRATIO MATHEMATICA Vol. XLI No 4 8 Deepak Kumar Dubey, V. K. Jai RATE OF APPROXIMATION FOR INTEGRATED SZASZ-MIRAKYAN OPERATORS Absrac. Recely Jai e al. [3] proposed a iegral modificaio of Szasz-Mirakya
Læs mereSlot diffusers. Slot diffusers LD-17, LD-18
LD-17, LD-18 Application LD-17 and LD-18 are designed for supply of cold or warm air in rooms with a height between. m and 4 m. They allow easy setting of air deflectors for different modes of operation
Læs mereRoE timestamp and presentation time in past
RoE timestamp and presentation time in past Jouni Korhonen Broadcom Ltd. 5/26/2016 9 June 2016 IEEE 1904 Access Networks Working Group, Hørsholm, Denmark 1 Background RoE 2:24:6 timestamp was recently
Læs mereCHAPTER 8: USING OBJECTS
Ruby: Philosophy & Implementation CHAPTER 8: USING OBJECTS Introduction to Computer Science Using Ruby Ruby is the latest in the family of Object Oriented Programming Languages As such, its designer studied
Læs mereUser Manual for LTC IGNOU
User Manual for LTC IGNOU 1 LTC (Leave Travel Concession) Navigation: Portal Launch HCM Application Self Service LTC Self Service 1. LTC Advance/Intimation Navigation: Launch HCM Application Self Service
Læs mereA multimodel data assimilation framework for hydrology
A multimodel data assimilation framework for hydrology Antoine Thiboult, François Anctil Université Laval June 27 th 2017 What is Data Assimilation? Use observations to improve simulation 2 of 8 What is
Læs mereH2020 DiscardLess ( ) Lessons learnt. Chefkonsulent, seniorrådgiver Erling P. Larsen, DTU Aqua, Denmark,
H2020 DiscardLess (2015-2019) Lessons learnt www.discardless.eu Chefkonsulent, seniorrådgiver Erling P. Larsen, DTU Aqua, Denmark, Fra ændrede fiskeredskaber til cost-benefit analyser Endnu et skifte i
Læs mereResource types R 1 1, R 2 2,..., R m CPU cycles, memory space, files, I/O devices Each resource type R i has W i instances.
System Model Resource types R 1 1, R 2 2,..., R m CPU cycles, memory space, files, I/O devices Each resource type R i has W i instances. Each process utilizes a resource as follows: request use e.g., request
Læs mereMaskinsikkerhed Risikovurdering Del 2: Praktisk vejledning og metodeeksempler
DS-information DS/ISO/TR 14121-2 2. udgave 2012-07-04 Maskinsikkerhed Risikovurdering Del 2: Praktisk vejledning og metodeeksempler Safety of machinery Risk assessment Part 2: Practical guidance and examples
Læs mereFrequency Dispersion: Dielectrics, Conductors, and Plasmas
1/23 Frequency Dispersion: Dielectrics, Conductors, and Plasmas Carlos Felipe Espinoza Hernández Professor: Jorge Alfaro Instituto de Física Pontificia Universidad Católica de Chile 2/23 Contents 1 Simple
Læs mereX M Y. What is mediation? Mediation analysis an introduction. Definition
What is mediation? an introduction Ulla Hvidtfeldt Section of Social Medicine - Investigate underlying mechanisms of an association Opening the black box - Strengthen/support the main effect hypothesis
Læs mereSkriftlig Eksamen Diskret matematik med anvendelser (DM72)
Skriftlig Eksamen Diskret matematik med anvendelser (DM72) Institut for Matematik & Datalogi Syddansk Universitet, Odense Onsdag den 18. januar 2006 Alle sædvanlige hjælpemidler (lærebøger, notater etc.),
Læs mereEric Nordenstam 1 Benjamin Young 2. FPSAC 12, Nagoya, Japan
Eric 1 Benjamin 2 1 Fakultät für Matematik Universität Wien 2 Institutionen för Matematik Royal Institute of Technology (KTH) Stockholm FPSAC 12, Nagoya, Japan The Aztec Diamond Aztec diamonds of orders
Læs mereMeasuring Evolution of Populations
Measuring Evolution of Populations 2007-2008 5 Agents of evolutionary change Mutation Gene Flow Non-random mating Genetic Drift Selection Populations & gene pools Concepts a population is a localized group
Læs mereTrolling Master Bornholm 2012
Trolling Master Bornholm 1 (English version further down) Tak for denne gang Det var en fornøjelse især jo også fordi vejret var med os. Så heldig har vi aldrig været før. Vi skal evaluere 1, og I må meget
Læs mereInfo og krav til grupper med motorkøjetøjer
Info og krav til grupper med motorkøjetøjer (English version, see page 4) GENERELT - FOR ALLE TYPER KØRETØJER ØJER GODT MILJØ FOR ALLE Vi ønsker at paraden er en god oplevelse for alle deltagere og tilskuere,
Læs mereHelp / Hjælp
Home page Lisa & Petur www.lisapetur.dk Help / Hjælp Help / Hjælp General The purpose of our Homepage is to allow external access to pictures and videos taken/made by the Gunnarsson family. The Association
Læs mereVejafmærkning i fht. letbaner. Fodgængerafmærkning og brug af røde blinksignaler
Vejafmærkning i fht. letbaner Fodgængerafmærkning og brug af røde blinksignaler Færdselsloven Lovens område 1. Loven gælder, hvor andet ikke er bestemt, for færdsel på vej, som benyttes til almindelig
Læs merePortal Registration. Check Junk Mail for activation . 1 Click the hyperlink to take you back to the portal to confirm your registration
Portal Registration Step 1 Provide the necessary information to create your user. Note: First Name, Last Name and Email have to match exactly to your profile in the Membership system. Step 2 Click on the
Læs mereBilag. Resume. Side 1 af 12
Bilag Resume I denne opgave, lægges der fokus på unge og ensomhed gennem sociale medier. Vi har i denne opgave valgt at benytte Facebook som det sociale medie vi ligger fokus på, da det er det største
Læs mereBarnets navn: Børnehave: Kommune: Barnets modersmål (kan være mere end et)
Forældreskema Barnets navn: Børnehave: Kommune: Barnets modersmål (kan være mere end et) Barnets alder: år og måneder Barnet begyndte at lære dansk da det var år Søg at besvare disse spørgsmål så godt
Læs mereCS 4390/5387 SOFTWARE V&V LECTURE 5 BLACK-BOX TESTING - 2
1 CS 4390/5387 SOFTWARE V&V LECTURE 5 BLACK-BOX TESTING - 2 Outline 2 HW Solution Exercise (Equivalence Class Testing) Exercise (Decision Table Testing) Pairwise Testing Exercise (Pairwise Testing) 1 Homework
Læs mereShooting tethered med Canon EOS-D i Capture One Pro. Shooting tethered i Capture One Pro 6.4 & 7.0 på MAC OS-X 10.7.5 & 10.8
Shooting tethered med Canon EOS-D i Capture One Pro Shooting tethered i Capture One Pro 6.4 & 7.0 på MAC OS-X 10.7.5 & 10.8 For Canon EOS-D ejere der fotograferer Shooting tethered med EOS-Utility eller
Læs mereBreaking Industrial Ciphers at a Whim MATE SOOS PRESENTATION AT HES 11
Breaking Industrial Ciphers at a Whim MATE SOOS PRESENTATION AT HES 11 Story line 1 HiTag2: reverse-engineered proprietary cipher 2 Analytic tools are needed to investigate them 3 CryptoMiniSat: free software
Læs mereDesign til digitale kommunikationsplatforme-f2013
E-travellbook Design til digitale kommunikationsplatforme-f2013 ITU 22.05.2013 Dreamers Lana Grunwald - svetlana.grunwald@gmail.com Iya Murash-Millo - iyam@itu.dk Hiwa Mansurbeg - hiwm@itu.dk Jørgen K.
Læs mereATEX direktivet. Vedligeholdelse af ATEX certifikater mv. Steen Christensen stec@teknologisk.dk www.atexdirektivet.
ATEX direktivet Vedligeholdelse af ATEX certifikater mv. Steen Christensen stec@teknologisk.dk www.atexdirektivet.dk tlf: 7220 2693 Vedligeholdelse af Certifikater / tekniske dossier / overensstemmelseserklæringen.
Læs mereDET KONGELIGE BIBLIOTEK NATIONALBIBLIOTEK OG KØBENHAVNS UNIVERSITETS- BIBLIOTEK. Index
DET KONGELIGE Index Download driver... 2 Find the Windows 7 version.... 2 Download the Windows Vista driver.... 4 Extract driver... 5 Windows Vista installation of a printer.... 7 Side 1 af 12 DET KONGELIGE
Læs mereVEDLIGEHOLDELSE AF MALEDE MØBLER
DK VEDLIGEHOLDELSE AF MALEDE MØBLER DK / FORORD Malede møbler er smukke, nemme at vedligeholde og findes i forskellige varianter, farver og overfladetyper. Til hver enkel møbeltype ligger der en lang forarbejdning
Læs mereArbejsskadeAnmeldelse
ArbejsskadeAnmeldelse OpretAnmeldelse 001 All Klassifikations: KlassifikationKode is an unknown value in the current Klassifikation 002 All Klassifikations: KlassifikationKode does not correspond to KlassifikationTekst
Læs mereVARIO D1. Samlet pris kr. XXXX,-
Forside INDHOLD! NYHED! 1 sæt vario d1 6 modul monteret med 6 stk. fotoprint, format 70 x 100 cm. 3 stk. halogenspot, 200W 2 stk. brochureholder VARIO D1 5 sk. Vario d2 rammer, format 70 x 100 cm. Monteret
Læs mereVores mange brugere på musskema.dk er rigtig gode til at komme med kvalificerede ønsker og behov.
På dansk/in Danish: Aarhus d. 10. januar 2013/ the 10 th of January 2013 Kære alle Chefer i MUS-regi! Vores mange brugere på musskema.dk er rigtig gode til at komme med kvalificerede ønsker og behov. Og
Læs mereThe purpose of our Homepage is to allow external access to pictures and videos taken/made by the Gunnarsson family.
General The purpose of our Homepage is to allow external access to pictures and videos taken/made by the Gunnarsson family. Formålet med vores hjemmesiden er at gøre billeder og video som vi (Gunnarsson)
Læs mereTrolling Master Bornholm 2016 Nyhedsbrev nr. 8
Trolling Master Bornholm 2016 Nyhedsbrev nr. 8 English version further down Der bliver landet fisk men ikke mange Her er det Johnny Nielsen, Søløven, fra Tejn, som i denne uge fangede 13,0 kg nord for
Læs mereBlack Jack --- Review. Spring 2012
Black Jack --- Review Spring 2012 Simulation Simulation can solve real-world problems by modeling realworld processes to provide otherwise unobtainable information. Computer simulation is used to predict
Læs mereImmigration Housing. Housing - Renting. Stating that you want to rent something. Type of accommodation. Type of accommodation. Type of accommodation
- Renting English I am looking for a to rent. Stating that you want to rent something room flat / apartment studio flat / studio apartment detached house semi-detached house terraced house How much is
Læs mereBesvarelser til Lineær Algebra Reeksamen Februar 2017
Besvarelser til Lineær Algebra Reeksamen - 7. Februar 207 Mikkel Findinge Bemærk, at der kan være sneget sig fejl ind. Kontakt mig endelig, hvis du skulle falde over en sådan. Dette dokument har udelukkende
Læs mereForslag til implementering af ResearcherID og ORCID på SCIENCE
SCIENCE Forskningsdokumentation Forslag til implementering af ResearcherID og ORCID på SCIENCE SFU 12.03.14 Forslag til implementering af ResearcherID og ORCID på SCIENCE Hvad er WoS s ResearcherID? Hvad
Læs mereBADGES CATALOG d e s i g n p r o d u c e d e l i v e r
BADGES CATALOG design produce deliver BADGES Your company name, brand or marketing activity on a professional personalized badge or pin. Sharp full color print, also available with a providing high-end
Læs mereDet er muligt at chekce følgende opg. i CodeJudge: og
Det er muligt at chekce følgende opg. i CodeJudge:.1.7 og.1.14 Exercise 1: Skriv en forløkke, som producerer følgende output: 1 4 9 16 5 36 Bonusopgave: Modificer dit program, så det ikke benytter multiplikation.
Læs mereOpera Ins. Model: MI5722 Product Name: Pure Sine Wave Inverter 1000W 12VDC/230 30A Solar Regulator
Opera Ins Model: MI5722 Product Name: Pure Sine Wave Inverter 1000W 12VDC/230 30A Solar Regulator I.Precautions 1. Keep the product away from children to avoid children playing it as a toy and resultinginpersonalinjury.
Læs mereAPPENDIX E.3 SHADOW FLICKER CALCULATUIONS. 70 m TOWERS & 56 m BLADES
Grousemount Wind Farm, Co. Kerry Environmental Impact Statement - Volume 2 of 3 August 2015 APPENDIX E.3 SHADOW FLICKER CALCULATUIONS 70 m TOWERS & 56 m BLADES Appendix E: Shadow Flicker Assumptions for
Læs mereWindPRO version Nov 2013 Printed/Page :45 / 1. SHADOW - Main Result
SHADOW - Main Result Assumptions for shadow calculations Maximum distance for influence Calculate only when more than 20 % of sun is covered by the blade Please look in WTG table WindPRO version 2.9.269
Læs mereSikkerhedsvejledning
11-01-2018 2 Sikkerhedsvejledning VIGTIGT! Venligst læs disse instruktioner inden sengen samles og tages i brug Tjek at alle dele og komponenter er til stede som angivet i vejledningen Fjern alle beslagsdele
Læs mereSpecial VFR. - ved flyvning til mindre flyveplads uden tårnkontrol som ligger indenfor en kontrolzone
Special VFR - ved flyvning til mindre flyveplads uden tårnkontrol som ligger indenfor en kontrolzone SERA.5005 Visual flight rules (a) Except when operating as a special VFR flight, VFR flights shall be
Læs mereBoligsøgning / Search for accommodation!
Boligsøgning / Search for accommodation! For at guide dig frem til den rigtige vejledning, skal du lige svare på et par spørgsmål: To make sure you are using the correct guide for applying you must answer
Læs mereH07RN-F CPR BESKRIVELSE STANDARDER. Kontakter Installation Tlf.: Support:
Industrial flexible rubber cable range with an insulation and sheath in elastomers. Cables for heavy duty uses, Oil resistant and Flame retardancy according to IEC/EN 60332-1-2 standard. BESKRIVELSE Application
Læs mereMobile Hospitals. A world on wheels
Mobile Hospitals A world on wheels 01 HMK bilcon presentation history, products, facts 02 Mobile Blood Donation Units 3D film Examples Standard specifications Fully custom made solutions Film preparing
Læs mereVejledning til Sundhedsprocenten og Sundhedstjek
English version below Vejledning til Sundhedsprocenten og Sundhedstjek Udfyld Sundhedsprocenten Sæt mål og lav en handlingsplan Book tid til Sundhedstjek Log ind på www.falckhealthcare.dk/novo Har du problemer
Læs mereUNISONIC TECHNOLOGIES CO.,
UNISONIC TECHNOLOGIES CO., 3 TERMINAL 1A NEGATIVE VOLTAGE REGULATOR DESCRIPTION 1 TO-263 The UTC series of three-terminal negative regulators are available in TO-263 package and with several fixed output
Læs mereWIO200A INSTALLATIONS MANUAL Rev Dato:
WIO200A INSTALLATIONS MANUAL 111686-903 Rev. 1.01 Dato: 10.01.2013 Side 1 af 14 Contents Contents... 2 Introduction... 3 Pin assignment of the terminal box connector for customer... 4 Pin assignment of
Læs mereChapter 14. Mendel & Genetics. AP Biology
Chapter 14. Mendel & Genetics Gregor Mendel Modern genetics began in the mid-1800s in an abbey garden, where a monk named Gregor Mendel documented inheritance in peas used experimental method used quantitative
Læs mereConstant Terminal Voltage. Industry Workshop 1 st November 2013
Constant Terminal Voltage Industry Workshop 1 st November 2013 Covering; Reactive Power & Voltage Requirements for Synchronous Generators and how the requirements are delivered Other countries - A different
Læs mereRemember the Ship, Additional Work
51 (104) Remember the Ship, Additional Work Remember the Ship Crosswords Across 3 A prejudiced person who is intolerant of any opinions differing from his own (5) 4 Another word for language (6) 6 The
Læs mereTrolling Master Bornholm 2016 Nyhedsbrev nr. 7
Trolling Master Bornholm 2016 Nyhedsbrev nr. 7 English version further down Så var det omsider fiskevejr En af dem, der kom på vandet i en af hullerne, mellem den hårde vestenvind var Lejf K. Pedersen,
Læs mereSkriftlig Eksamen Beregnelighed (DM517)
Skriftlig Eksamen Beregnelighed (DM517) Institut for Matematik & Datalogi Syddansk Universitet Mandag den 7 Januar 2008, kl. 9 13 Alle sædvanlige hjælpemidler (lærebøger, notater etc.) samt brug af lommeregner
Læs mere., S/I (Castelnuovo Mumford)
REGULARITY AND a-invariant OF CAMERON WALKER GRAPHS ( ), ( ), ( ), ( ) [7]. 1. S = K[x 1,...,x n ] K n degx i = 1. I S dims/i = d, S/I Hilber H (S/I, λ) H (S/I, λ) = h 0 + h 1 λ + h 2 λ 2 + + h s λ s (1
Læs mereframe bracket Ford & Dodge
, Rev 3 02/19 frame bracket 8552005 Ford & Dodge ITEM PART # QTY DESCRIPTION 1 00083 8 NUT,.50NC HEX 2 00084 8 WASHER,.50 LOCK 3 14189-76 2 FRAME BRACKET 4 14194-76 1 411AL FRAME BRACKET PASSENGER SIDE
Læs mereTrolling Master Bornholm 2016 Nyhedsbrev nr. 5
Trolling Master Bornholm 2016 Nyhedsbrev nr. 5 English version further down Kim Finne med 11 kg laks Laksen blev fanget i denne uge øst for Bornholm ud for Nexø. Et andet eksempel er her to laks taget
Læs mereWIKI & Lady Avenue New B2B shop
WIKI & Lady Avenue New B2B shop Login Login: You need a personal username and password Du skal bruge et personligt username og password Only Recommended Retail Prices Viser kun vejl.priser! Bestilling
Læs merePattern formation Turing instability
Pattern formation Turing instability Tomáš Vejchodský Centre for Mathematical Biology Mathematical Institute Summer school, Prague, 6 8 August, 213 Outline Motivation Turing instability general conditions
Læs mereSkriftlig Eksamen Beregnelighed (DM517)
Skriftlig Eksamen Beregnelighed (DM517) Institut for Matematik & Datalogi Syddansk Universitet Mandag den 31 Oktober 2011, kl. 9 13 Alle sædvanlige hjælpemidler (lærebøger, notater etc.) samt brug af lommeregner
Læs mereApplication of High- resolution LiDAR-derived DEM in Landslide Volume Estimation
Application of High- resolution LiDAR-derived DEM in Landslide Volume Estimation Chih Ming Tseng 1, Ching Weei Lin 2, Jin King Liu 1. Chang Jung Christian University 2. National Cheng Kung University TAIWAN
Læs mereModtageklasser i Tønder Kommune
Modtageklasser i Tønder Kommune - et tilbud i Toftlund og Tønder til børn, der har behov for at blive bedre til dansk TOFTLUND TØNDER Hvad er en modtageklasse? En modtageklasse er en klasse med særligt
Læs mereUniversity of Copenhagen Faculty of Science Written Exam - 3. April Algebra 3
University of Copenhagen Faculty of Science Written Exam - 3. April 2009 Algebra 3 This exam contains 5 exercises which are to be solved in 3 hours. The exercises are posed in an English and in a Danish
Læs mereESG reporting meeting investors needs
ESG reporting meeting investors needs Carina Ohm Nordic Head of Climate Change and Sustainability Services, EY DIRF dagen, 24 September 2019 Investors have growing focus on ESG EY Investor Survey 2018
Læs merehow to save excel as pdf
1 how to save excel as pdf This guide will show you how to save your Excel workbook as PDF files. Before you do so, you may want to copy several sheets from several documents into one document. To do so,
Læs mereExercise 6.14 Linearly independent vectors are also affinely independent.
Affine sets Linear Inequality Systems Definition 6.12 The vectors v 1, v 2,..., v k are affinely independent if v 2 v 1,..., v k v 1 is linearly independent; affinely dependent, otherwise. We first check
Læs mereAccessing the ALCOTEST Instrument Upload Data - NJSP Public Website page -
Accessing the ALCOTEST Instrument Upload Data - NJSP Public Website page - www.njsp.org Public Information Access Public Information Page Selection Within the Public Information Drop Down list, select
Læs mere