1 MNSTERE VAN OPENBARE WERKEN BESTUUR DER WATERWEGEN DENST DER KUST HYDROGRAFE OOSTENDE M2 TDAL REDUCTON METHOD FOR COASTAL ZONES by - ing. C. VAN CAUWENBERGHE ; Dienst der Kust - Hydrogra ie, Oostende. - ing. L. DEKKER; Rijkswaterstaat - Directie Zeeland <AXH>,Middelburg. - A. SCHUURMAN ; Directoraat Generaal voor Scheepvaart en Maritieme Zaken - District Scheldemond, Vlissingen. Rapport nr. 3 van de Hydrogra ische Dienst der Kust.
2 TABLE OF CONTENTS NTRODUCTON 2 THEORY 2.1 Description of the theory. 2.2 Mathematical formulation of the theory. 2.3 Limiting conditions when using the reduction method. 2. A further specification of the factors. 2.5 Summary. 3 MEASUREMENTS 3.1 n general. 3.2 Preparations. 3.3 Practical considerations. 3. Data analysis. QUALTY CONTROL 5 THE HYDROGRAPHC REDUCTON CHART 5.1 Product development. 5.2 The practical use of the reduction chart. REFERENCES (bibliography).
3 NTRODUCTON The M2 reduction method was developed by the since then disbanded Advisory Department of the Rijkswaterstaat at Flushing (Adviesdienst Vlissingen) of the former Directorate for water management and water resources (Directie waterhuishouding en waterbeweging). . The M2 reduction method has been accepted as the standard method for tidal reduction for the mouths of the Eastern and Western Scheldt and the Belgian coast by the following governmental services in the Netherlands: A. De dienst der Hydrografie van de Koninklijke Marine B. Het Directoraat Generaal voor Scheepvaart en Maritieme Zaken, district Scheldemond, afdeling Hydras. c. Rijkswaterstaat, Directie Zeeland, Meetdienst. and in Belgium: Dienst der Kust, afdeling Hydrografie. The measurements service of the T.V. Zeebouw Zeezand located in Zeebrugge took part in these studies during the entire length of the project. The choice as standard method is the result of study and discussion within a working committie in which the above-mentioned services were represented and where various reduction methods were considered. n comparing methods, special attention was paid to accuracy and ease of use. n terms of accuracy, it was stipulated that the error in the water level generated by the reduction method be no larger than 1 dm. for both average deviation and standard deviation [2 thru The discussion of this reduction method is divided into four sections, namely: the theory, the measurements, aspects of quality control and the hydrographical reduction chart (the final product). 2. THEORY X: Simply put the principles of the M2 reduction method may be
4 - 2 - formulated as follows: Determine the water level at a "random" location at.sea based on the water level at a reference location by manipulating the reference water level with the help of three factors. These three factors are: A. A factor determined by the differences in mean sea level. B. An amplitude factor. c. A phase factor. n the appendices 1 thru 3 eaci-. factor is graphically presented. 2.2 Mathematical formulation of the theory The principle of the M2 reduction method may be mathematically formulated as follows: ( 1 ) where Z = Mean sea level difference factor F 1 F2 Zt =Amplitude factor. = Phase factor. = The calculated value of sea level height at a "random" location in meters, related to the N.A.P. datum at the time t Ct- Fz= The measured value of sea level height at the reference location in meters, again related to N.A.P. at the time t-f =--2--E= The use of this method of tidal reduction is limited by the following restriction: To achieve a reasonable level of accuracy the variation in sea level (tide) in both the reference and sea locations must be similar to one another. n appendix examples of similar and dissimilar sea level curves are shown.
5 - 3 - Practically speaking, the above-mentioned limiting condition has the following effects: A. The region within which a reference location may safely be used will be "limited". B. This restricted region will be larger depending on whether there are fewer banks and shoals in the intertidal area. 2. -!E-es!!!s!-f--!sE The factors mentioned in paragraphs 2.2 and 2.3 may be further determined as follows: A. Values of mean sea level for a number of locations along the coast in the area of interest are given in table 1. These mean sea level values have been taken from . Table 1. Mean sea level in meters related to N.A.P. Location Mean sea level Nieuwpoort -. 1 Oostende -. 9 ZE>ebrugge o.os Cadzand Vlissingen -.6 n view of the marginal differences in mean sea level, the factor pertaining to mean sea level difference may be neglected. The M2 component (2-day, lunar tide) is the most significant harmonic component in the region under consideration. This is the reason that the factors F1 and F2 are determined as given below and also the motivation behind the name of this method. B. The multiplier is given as: ( 2) where, A = The amplitude of the M2 component at the location at sea in cm. B The amplitude of the M2 component at the reference location in cm.
6 - - c. The phase factor is given as: where, FM = The phase of the M2 component at the location at sea in minutes. FR = The phase of the M2 component at the reference location in minutes. 2.5 Summary When the factors determined from equations (2) and (3) have been substituted in equation (1) we get () where ( 5) 3 THE MEASUREMENTS 3.1!-9! The reason for taking measurements is to determine the factors A, B, FM and FR according to the paragraphs 2. and 2.5. To this end the following measurements had to be made: A. Water levels at the reference locations. B. Water levels at the locations at sea. No separate measurement campaign had to be carried out to determine the water levels at the reference iocations, since water levels are continually registered at a sufficient number of coastal locations. These may serve as reference stations. On the other hand, it was necessary to carry out accurate datum level measurements, in order to verify the height difference between N.A.P. (New Amsterdam's Benchmark) in the Netherlands and T.A.W. (The Second General Benchmark Survey) in Belgium.
7 - 5 - To measure water levels at sea, a number of measurement campaigns were carried out. These campaigns may be split into three separate phases: A. Preparations B. The measurements themselves c. Data-analysis. The measurements will now be considered on the basis of these three phases. 3.2 The preparations for the water level measurements at the locations at sea consisted of the determination of the duration and location of the measurements and the readying of personnel and material to carry them out. The services taking part in the project were, without serious difficulty, able to guarantee the necessary logistic support. The fact that the M2 amplitude and phase had to be determined was, of course, most important in ascertaining the duration of the measurements. The measurements would be carried out during an entire springs-neaps cycle. This implied a measurement lenght of at least 3 days. Aside from the length of the measurements, the time of the year also played a role. The measurements were conducted in the spring and summer as far as possible in order to avoid measuring under stormy conditions. A sampling interval of 15 minutes was chosen. This interval was deemed sufficient to reproduce the variations in water level with the necessary accuracy and to ensure that reliable analyses could be made. Significant with respect to the choice of measuring locations were: A. The boundaries of the area under study. B. The number and the lie with respect to one another of the measuring points. The boundaries were chosen in relation to the boundaries of the participating Government Services. The region covers the Belgian coast from the French border to the mouth of the Eastern Scheldt and stretches some 3 km out to sea.
8 - 6 - The number and lie of the measuring points was determined from practical experience, budgetary limitations and the use of the measurements for other purposes. n appendix 5 a map is given showing the locations of the measurements carried out to date. The first measurments werd made in 1982 and the last in Appendix 5 reveals that the entire region has not yet been measured. Measurments will be carried out in the future before the Belgian coast between Oostende and the French border, in the West-hinder area and just to the North of the Mouth of the Eastern Scheldt. 3.3 Practical considerations. The Dutch measurements werd conducted using pressure sensors, placed on the sea bed [a,. The pressure sensing device used, the DAG GOOO, is shown in appendix 6. The DAG 6 tide guage consists of a water tight drum with lid, fitted out with hooks to enable its being suspended in a framework. The drum is made from cast bronze, thus making the device insensitive to corrosion. The pressure sensor is on the underside and there is further a battery compartment, an electronics section and room for a data cassete, where the pressure data is recorded. The DAG 6 instruments were placed on the sea bed and marked at the surface with a buoy. n our case, the devices werd retreived after a months measurements. The Belgian measurements, carried out with Aanderaa equipment, could first be begun in Of these, six series fell within the group that could immedately be used. These were then used as controle measurements. The rest of the measurements carried out and those still to be carried out will serve to fill in the blank spaces in the western section of the reduction chart. 3. -: The data analyses consisted of the following steps for those measurements made in the reference locations: A. The choice of reference sites for the investigation of the measurements at the locations at sea. B. Harmonic analyses of the reference water levels for each period of measurement to determine he M2 components.
9 - 7 - c. Harmonic analyses of the reference water levels in 1983 to determine the M2 components. Analyses of the data collected from the locations at sea consisted of the following steps: A. The cassettes, containing pressure data, were read out. Pressure values were recorded at 15 minute intervals. B. The pressure values werd corrected for the specific weight of sea water, barometric pressure and mean sea level. This correction inherently implies the translation of pressures into water levels. c. The water levels were presented graphically for visual control and possible correction. D. Harmonic analyses of the water level data to determine the M2 components (amplitude and phase). E. The M2 component varies with time as a result of variations in the angle between the lunar trajectory and the equator. t was therefore deemed necessary to normalize the M2 component to the year n that year the angle had an average valve of 23 27', for a lenght of the ascending node of 9. The normalization procedure could then be carried out as follows: The equation below was used to determine the M2 amplitude: where, A B A = B * a c ( 6) M2 amplitude (norm 1983) for the location at sea M2 amplitude (norm 1983) for the reference location a = M2 amplitude (measurement period) for the location at b sea M2 amplitude (measurement period) for the reference location. For the M2 phase: The M2 phase difference between 1983 and the period of measurements at the reference location was added to the M2 phase for the measurement period at the location at sea.
10 QUALTY CONTROL After the factors A, B, FM and FR have been determined, the equation given in paragraph 2.5 can be verified. Tbis check carried out for the most part by Rijkswaterstaat and the Dienst Der Kust, implies the determination of the difference between the computed and the measured water levels. t may be expressed as:. h Zt calculated - Zt measured where, Ah the difference between the water level Zt calculated with equations () and (5) and the measured water level Zt Zt the water level at a location at sea, given in m. relative to N.A.P. at time t. For all measuring points and for the entire period of measurements h has been determined at intervals of 15 minutes. The standard deviation of h, the percentage of t. h valves between ± 1 dm and the maximum and minimum values of h are given in appendix 7. The following general conclusion may be drawn on the basis of these results: The largest standard deviation is 7 cm and the mean of the deviation 1,-1 cm (in percentage) reaches 95.9%. The M2 method of reduction meets the stipulated degree of accuracy. 5. THE HYDROGRAPHC REDUCTON CHART 5. 1 E!:-!:-::!:.: After it had been determined that the accuracy requirements had been met, the product itself could be developed. This product, the reduction chart - M2 method, is shown in appendix a. The development was carried out in the following steps: A. The results of the measurements, the M2 amplitudes and phases are recorded in the chart, whereby their relationship to one another is made visi ble through the use of iso-contours.
11 - 9 - n this way it is possible to determine the M2 values (and therefore the water levels) at an arbitrary point. B. Eight reference locations have been chosen, and the area within which each reference location is applieable is delimited based on the results of the iuality control The three Belgian reference locations are part of the Vlaamse Banken Network, and the five Dutch locations form part of the ZEGE net. n these networks, water level. information is automatically collected and stored in a Data base. Efforts are presently being made to couple the above-mentioned networks. c. Rijkswaterstaat makes use of N.A.P. as chart datum, and this is also used as reference level for the chart. The other services use GLLWS (the average lowest low tide at springs). The realisation of the latter reference level in the reduction chart made it necessary to present iso-contours of GLLWS (Z in cm in relation to N.A.P.). During production of the first version of the chart it became apparant that the Belgian GLLWS, at the Dutch-Belgian border, was about 2 dm lower than the Dutch GLLWS datum. Additional investigation showed that this difference is due to a difference in the way low tide is defined when determining the value of GLLWS. As a result, the frequency with which low tide comes to lie beneath chart datum at Vlissingen is 6,7% of the time, where as for Oostende and Zeebrugge this happens,6% of the time. With the help of a text, the situation described above is made clear in the reduction chart itself. o. The theoretical background is reiterated in the lower right hand corner of the chart, as an instruction for the user. The value of Z, i.e. the difference in height between N.A.P. and GLLWS, determined with the help of equation (), had also been presented. E. A few additional finishing touches to the reduction chart, such as header, geographic and UTM coordinates, depth contours, etc. are then made. Lay-out was prcvided for by the Dienst der Kust, Hydrographic office. l
12 - 1 - F. n a plenary sitting of the working committee on the 13th of May 1986, the dicision was made to officially begin using the reduction chart as of the 1st. of january Therefore, since this date, the chart is to be considered valid in those areas where the!so-contours are crly defined. 5.2!-EE!!!---!-E!-E! The use of the reduction chart by those services metioned in paragraph 1, may be summed up as f11ows: A. n those areas where hydrographic surveys are carried out, a number of points are registered on the reduction chart, there where the water level is to be calculated, and being themselves representative for a certain portion of the area. With the help of these points, the M2 amplitude and phase can be read directly from the reduction chart. B. For the points mentioned under A., the corresponding reference location(s) along with M2 amplitude and phase are additionally determined. The water levels for the period in question at these reference locations are shifted from the data base of the measuring network to a computerfile and readied. c. Equations () and (5) are programmed. This program reads the reference water levels and requests that the necessary M2 values be fed in by hand. After this, the desired water level at sea is calculated and stored on file for further use. Fu rt h ermore, p 1 ans * exst. to store t h e b asc. data of the reduction chart in matrix form in the computer, and to.re-edit the analyses software. This will be done in such a way that, based on the location and moment in time of a particular sounding, the choice of reference location, the determination of the M2 values and the determination of the water level at the location(s) at sea will be carried out automatically. ha s been deueloppe i n ne
13 REFERENCES Lit. 1. Lupgens G.A. en Theune J.W., Reductiemethode waterstanden in het mondingsgebied van de Westerschelde, notitie G.W , Rijkswaterstaat, Dienst Getijdewateren, april Lit. 2. Pottiez, R., Schallier, A. en Vriesendorp R.J., Studie redactie -1e Voortgangsrapport Meetdien TVZZ, Knokke-Heist, juni 198. Lit. 3. Pottiez, R., Schallier A. en Vriesendorp, R.J., Studie reductie -2e Voortgangsrapport! Meetdienst TVZZ, Knokke-Heist, november 198. Lit.. j).,gueecker J )-J. en Van Cauwenberghe, c., Studie reductie -inwendig rapport. Dienst der Kust, Hydrografie, juni Lit. 5. Reductie langs de Belgische kust en Scheldemonding-berekenJng van getijkrommen volgens de Vlakrnethode. Dienst der Hydrografie, Den Haag, juni Lit. 6. Reductie langs de Belgische kust en de Scheldemonding. Verslagen van de 1 vergaderingen. Dienst der Kust, Hydrografie, mei 198-mei Lit. 7. Van Cauwenberghe, c., Overzicht van de tijwaarnemingen langs de Belgische Kust. Periode voor Nieuwpoort, Oostende en Zeebrugge. Tijdschrift der Openbare Werken van Belgie. Nr. 5, Lit. 8. Theune, J.W., Onderzoek betrouwbaarheid DAG 6 getijmeters, notitie WWKZ-8.V287. Rijkswaterstaat, Directie Waterhuishouding en Waterbeweging-District Kust en Zee, Adviesdienst Vlissingen, maart 198.
14 REFERENCES (cont'd) Lit. 9. Theune, J.W. en de Ridder, J., Reductiemethode waterstanden in het mondingsgebied van de Westerschelde, notitie WWKZ-8S.V376. Rijkswaterstaat, Directie Waterhuishouding en Waterbeweging-District Kust en Zee, Adviesdienst Vlissingen, oktober Lit. 1. Oosterwijk, H.J.M. en Doekes, J., Bepaling L.L.W.S L.A.T. en H.A.T. veer de Nederlandse getijstations, nota G.w.r.o Rijkswaterstaat, Dienst Getijdewateren. t ;;, tl3. a7
15 2 _, L '-.J :z low QC lj.a..ij Q::. V' 2 c: o.j...j et: U. -:i '"". ' J ( ' / ' / / '. L i
Notices to Mariners + OSTEND NOVEMBER 20th 2014 NR. 24 1 BELGIUM >24/334 (T) NIEUWPOORT - SEAWARD GUNNERY EXERCISES BaZ 2014-23/325 (T) is cancelled. During the period from 08/12/2014 until and including
Notices to Mariners + OSTEND NOVEMBER 05th 2015 NR. 23 1 GENERAL NOTICES >23/261 GENERAL NOTICE - NEW PUBLICATION New edition 2015 of the: Belgian chart 104 Westerschelde - Zeeschelde: Monding Westerschelde
Notices to Mariners + OSTEND SEPTEMBER 15th 2011 NR. 19 1 BELGIUM >19/236 (T) NIEUWPOORT - SEAWARD GUNNERY EXERCISES BaZ 2011-18/225 (T) is cancelled. During the period from 26/09/2011 until and including
Notices to Mariners + OSTEND OCTOBER 23rd 2014 NR. 22 1 BELGIUM >22/307 (T) NIEUWPOORT - SEAWARD GUNNERY EXERCISES BaZ 2014-21/290 (T) is cancelled. During the period from 10/11/2014 until and including
Claim#:021914-174 Initials: J.T. Last4SSN: 6996 DOB: 5/3/1970 Crime Date: 4/30/2013 Status: Claim is currently under review. Decision expected within 7 days Claim#:041715-334 Initials: M.S. Last4SSN: 2957
Afdeling Waterwegen Kust - Hydrografie - Oostende H y d ro g ra p h ie S u rvey in g B elgian users & user requirem ents The data logging and processing o f bathymetric information along the Belgian coast
Notices to Mariners + OSTEND october 24th 2013 NR. 22 1 BELGIUM >22/334 (T) NIEUWPOORT - SEAWARD GUNNERY EXERCISES BaZ 2013-21/315 (T) is cancelled. During the period from 28/10/2013 until and including
Notices to Mariners + OSTEND JUNE 24TH 2010 NR.13 1 BELGIUM > 13/178 (T) APPROACH WESTERN SCHELDT - WIELINGENPAS - INSTRUMENT A hydrographic instrument (tripode) was established in position 51 21,433 N
Notices to Mariners + OSTEND november 21st 2013 NR. 24 1 BELGIUM >24/361 CANCELLED NOTICES NtM nr. Cancelled Charts 2013-20/313 (T) Western Scheldt - Pas van Rilland - Current and flow measurements 2013-20/309
PROCEDIMIENTO DE RECUPERACION Y COPIAS DE SEGURIDAD DEL CORTAFUEGOS LINUX P ar a p od e r re c u p e ra r nu e s t r o c o rt a f u e go s an t e un d es a s t r e ( r ot u r a d e l di s c o o d e l a
Gravir Outer, Isle of Lewis Site and Hydrographic survey report November 2013 The Scottish Salmon Company 8 Melville Crescent Edinburgh EH3 7JA Report No: Issued By: Mathew Laughton Checked By: Mark Edmonds
SCO TT G LEA SO N D EM O Z G EB R E- EG Z IA B H ER e d it o r s N ) LICA TIO N S A N D M ETH O D S t DVD N CLUDED C o n t e n Ls Pr e fa c e x v G l o b a l N a v i g a t i o n Sa t e llit e S y s t e
IMO RESOLUTION A.817 (19) PERFORMANCE STANDARDS FOR ELECTRONIC CHART DISPLAY AND INFORMATION SYSTEMS (ECDIS) Note: The IMO Performance Standards for ECDIS are reproduced in this publication for convenience,
Simple Harmonic Motion 1 Object To determine the period of motion of objects that are executing simple harmonic motion and to check the theoretical prediction of such periods. 2 Apparatus Assorted weights
C o a t i a n P u b l i c D e b tm a n a g e m e n t a n d C h a l l e n g e s o f M a k e t D e v e l o p m e n t Z a g e bo 8 t h A p i l 2 0 1 1 h t t pdd w w wp i j fp h D p u b l i c2 d e b td S t
Slack water (slack tide): The state of a tidal current when its velocity is near zero, especially the moment when a reversing current changes its direction and its velocity is zero. The term is also applied
INTRODUCTION UNIVERSITY OF SURREY DEPARTMENT OF PHYSICS Level 1 Laboratory: Introduction Experiment Determination of g using a spring This experiment is designed to get you confident in using the quantitative
Key Questions & Exercises Chem 115 POGIL Worksheet - Week 4 Moles & Stoichiometry Answers 1. The atomic weight of carbon is 12.0107 u, so a mole of carbon has a mass of 12.0107 g. Why doesn t a mole of
Solutions to old Exam 1 problems Hi students! I am putting this old version of my review for the first midterm review, place and time to be announced. Check for updates on the web site as to which sections
A DATABASE OF HISTORICAL FLOOD EVENTS IN THE NETHERLANDS Martine Jak 1 and Matthijs Kok 2 1 Department of Transport, Public works and Water Management Road and Hydraulic Engineering Division P.O. Box 5044
H ig h L e v e l O v e r v iew S te p h a n M a rt in S e n io r S y s te m A rc h i te ct OPEN XCHANGE Architecture Overview A ge nda D es ig n G o als A rc h i te ct u re O ve rv i ew S c a l a b ili
DETERMINING SALARY UPON A CHANGE IN JOB CLASS Determining the Type of Transaction... 2 Calculating the New Salary.. 5 Promotions to a Step Plan 5 Promotions to a Management Pay Plan... 7 Voluntary Demotions..
CLASS TEST GRADE PHYSICAL SCIENCES: CHEMISTRY Test 6: Chemical change MARKS: 45 TIME: hour INSTRUCTIONS AND INFORMATION. Answer ALL the questions. 2. You may use non-programmable calculators. 3. You may
Unobserved heterogeneity; process and parameter effects in life insurance Jaap Spreeuw & Henk Wolthuis University of Amsterdam ABSTRACT In this paper life insurance contracts based on an urn-of-urns model,
m Future of learning Zehn J a hr e N et A c a d ei n E r f o l g s p r o g r a m Cisco E x p o 2 0 0 7 2 6. J u n i 2 0 0 7, M e sse W ie n C. D or n in g e r, b m u k k 1/ 12 P r e n t t z d e r p u t
The Map Grid of Australia 1994 A Simplified Computational Manual The Map Grid of Australia 1994 A Simplified Computational Manual 'What's the good of Mercator's North Poles and Equators, Tropics, Zones
ONDERZOEKSRAPPORT NR 8904 OPTIMAl PREMIUM CONTROl IN A NON-liFE INSURANCE BUSINESS BY M. VANDEBROEK & J. DHAENE D/1989/2376/5 1 IN A OPTIMAl PREMIUM CONTROl NON-liFE INSURANCE BUSINESS By Martina Vandebroek
021A Linden JUL 03 ONLINE Monitoring Progress in Software Development Joop van der Linden The Haagse Hogeschool To manage software development projects, a suitable model of the specific type of project
Excel Invoice Format Excel Column Name Cell Format Notes Campus* Supplier Number* Invoice Number* Order Number* Invoice Date* Total Invoice Amount* Total Sales Tax Amount* Discount Amount Discount Percent
Development in land consolidation in The Netherlands Experiences Kees van der Vaart DLG Service for Land and Water Management The Netherlands Land consolidation not/never finished A lecture with pictures
634 ON THE K-WINNERS-TAKE-ALL NETWORK E. Majani Jet Propulsion Laboratory California Institute of Technology R. Erlanson, Y. Abu-Mostafa Department of Electrical Engineering California Institute of Technology
What happens the day after we stop dredging? Why is dredging necessary for navigation and trade? Ir. Freddy Aerts Flemish Government, Mobility and Public Works Department, Maritime Access Division, Belgium
A PRACTICAL STATISTICAL METHOD OF ESTIMATING CLAIMS LIABILITY AND CLAIMS CASH FLOW T. G. CLARKE, and N. HARLAND U.K. INTRODUCTION I. A few years ago Scurfield (JSS.18) indicated a method used in one U.K.
PERFORMANCE MANAGEMENT AND COST-EFFECTIVENESS OF PUBLIC SERVICES: EMPIRICAL EVIDENCE FROM DUTCH MUNICIPALITIES Hans de Groot (Innovation and Governance Studies, University of Twente, The Netherlands, firstname.lastname@example.org)
IN TE IG OURT OF KARNATAKA IRUIT BEN AT DARWAD Dted this the Q7th Dy of Mch 211 Pesent TE BLE MRJUSTIE KLMANJUNAT nd TE BLE MRJUSTIE NNAGAMOAN DAS BETWEEN: RFA No7/2OO5 Shi Adiveppgoud S/o MllngoudRyngoud,
Chem 115 POGIL Worksheet - Week 4 Moles & Stoichiometry Why? Chemists are concerned with mass relationships in chemical reactions, usually run on a macroscopic scale (grams, kilograms, etc.). To deal with
Put the human back in Human Resources A Co m p l et e Hu m a n Ca p i t a l Ma n a g em en t So l u t i o n t h a t em p o w er s HR p r o f essi o n a l s t o m eet t h ei r co r p o r a t e o b j ect
Hf Cd Na Nb Lr Ho Bi Ce u Ac I Fl Fr Mo i Md Co P Pa Tc Uut Rh K N Dy Cl N Am b At Md H Y Bh Cm H Bi s Mo Uus Lu P F Cu Ar Ag Mg K Thomas Jefferson National Accelerator Facility - Office of cience ducation
ESTIMATION OF STOP LOSS PREMIUM IN FIRE INSURANCE C. P. WELTEN Amsterdam, Holland The estimation of stop loss premiums can be based on some knowledge about the distribution function of the sum of all claims
London Array londonarray.com London Array Operations & Maintenance Base Port of Ramsgate Military Road Ramsgate CT11 9LG Registered in England and Wales No 04344423 Operations and Maintenance 1 2 Operations
Baltic Marine Environment Protection Commission Group of Experts on Safety of Navigation Copenhagen, Denmark, 3 December 2014 SAFE NAV 5-2014 Document title Draft Guidelines on Under Keel Clearance Code
CHAPTER 9 SURVEYING TERMS AND ABBREVIATIONS Surveying Terms 9-2 Standard Abbreviations 9-6 9-1 A) SURVEYING TERMS Accuracy - The degree of conformity with a standard, or the degree of perfection attained
2013 MBA Jump Start Program Module 1: Statistics Thomas Gilbert Part 3 Statistics Module Part 3 Hypothesis Testing (Inference) Regressions 2 1 Making an Investment Decision A researcher in your firm just
for uli With Rejoic Herts/ on mor ol dition # 10745-Z1 ime ortez Keyord ccompniment y effy Honoré INTRO With energy ( = c 88) Keyord * m7 B sus 4 B 7/B mj 9 /B SMPL B 7 *Without percussion, egin he 1995,
Astin Bulletin Ii (198o) 136-144 THE SOLVENCY MARGIN IN NON-LIFE INSURANCE COMPANIES G. W. DE WIT AND W. ~I. KASTELIJN 1. INTRODUCTION Much attention has been paid in the last ten years to the necessary
Assessing the Value of Flexibility in the Dutch Office Sector using Real Option Analysis Joost P. Poort, Jun Hoo Abstract Flexibility is one of the key aspects of the Zuidas project, a major construction
Earth Coordinates & Grid Coordinate Systems How do we model the earth? Datums Datums mathematically describe the surface of the Earth. Accounts for mean sea level, topography, and gravity models. Projections
WS6600 Desktop Weather Station Instruction Manual Introduction This desktop weather station comes with barometric weather prediction, clock, calendar, indoor and outdoor temperature and humidity display.
Assessment of flood risks in polders along the Dutch lakes F. den Heijer* & A.P. de LoofP WL\delft hydraulics ^Ministry of Transport, Public Works and Water Management, Directorate General of Public Works
S FOR PHARMACY ONLINE CLAIMS PROCESSING The following is a list of error and warning codes that may appear when processing claims on the online system. The error codes are bolded. CODE AA AB AI AR CB CD
How do I translate...? Professional Translation Hybrid Translation Machine Translation Certified Translation Supported Formats Language Codes Toll Free: (800)790-3680 Professional Translation Hybrid Translation
Detecting Fraud in Health Insurance Data: Learning to Model Incomplete Benford s Law Distributions Fletcher Lu 1 and J. Efrim Boritz 2 1 School of Computer Science, University of Waterloo & Canadian Institute
GUIDANCE STATEMENT FOR EVALUATING AND DETERMINING CATEGORIES OF MARKING AND LIGHTING FOR AQUACULTURE & PEARLING LEASES/LICENCES This document has been developed by the Department of Transport (Marine Safety)
D a t a b a n k m r in g R a p p o r t M Aa n g e m a a k t o p 19 /09 /2007 o m 09 :29 u u r I d e n t if ic a t ie v a n d e m S e c t o r BJB V o lg n r. 06 013-0009 0 V o o r z ie n in g N ie u w la
Geographic Datums & Coordinates What is the shape of the earth? Why is it relevant for GIS? 9-04-2012 GEO327G/386G, UT Austin 2-1 From Conceptual to Pragmatic Dividing a sphere into a stack of pancakes
AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
J o in t - s t o c k c o m p C E N T R A L - A S IA N E L E C T R IC P O W a n y E R C O R P O R A T IO N I n t e r n a l A u d i t P O L IC Y o f J o in t - S t o c k C o m p a n y C E N T R A L - A S
Campus Sustainability Assessment and Related Literature An Annotated Bibliography and Resource Guide Andrew Nixon February 2002 Campus Sustainability Assessment Review Project Telephone: (616) 387-5626
Flash Eurobarometer 382a EUROPEANS SATISFACTION WITH RAIL SERVICES SUMMARY Fieldwork: September 2013 Publication: December 2013 This survey has been requested by the European Commission, Directorate-General
Application and results of automatic validation of sewer monitoring data M. van Bijnen 1,3 * and H. Korving 2,3 1 Gemeente Utrecht, P.O. Box 8375, 3503 RJ, Utrecht, The Netherlands 2 Witteveen+Bos Consulting
Application Note: Cisco A S A - Ce r t if ica t e T o S S L V P N Con n e ct ion P r of il e Overview: T h i s a p p l i ca ti o n n o te e x p l a i n s h o w to co n f i g u r e th e A S A to a cco m
INTERNATIONAL MARITIME ORGANIZATION E IMO A 19/Res.817 15 December 1996 Original: ENGLISH ASSEMBLY 19th session Agenda item 10 RESOLUTION A.817(19) adopted on 23 November 1995 PERFORMANCE STANDARDS FOR
INCOME PROTECTION Technical Report Joseph A. Atwood, Alan E. Baquet, and Myles J. Watts Principle Investigators February 16, 1996 Submitted in partial fulfillment of Contract no. 43-3AEK-5-8 between USDA/ERS/Commercial
WORKERS COMPENSATION CLASSIFICATION CREDIBILITIES By Howard C. Mahler, FCAS Abstract Via excerpts from the classification section of the filing for 8/l/99 Massachusetts Workers Compensation rates, this
SURVEY ON THE TRAINING OF GENERAL CARE NURSES IN THE EUROPEAN UNION This survey serves as a background document for the discussion of the Commission's legislative proposal to modernize the minimum requirements
DEVELOPMENT AND IMPLEMENTATION OF A PREDICTIVE TOOL FOR OPTIMIZING WORKLOAD OF TRAIN DISPATCHERS Melcher Zeilstra MSc EurErg David de Bruijn MSc EurErg Richard van der Weide MSc EurErg Intergo bv, PO Box
Flash Eurobarometer THE ROLE OF PUBLIC SUPPORT IN THE COMMERCIALISATION OF INNOVATIONS REPORT Fieldwork: January February 2014 Publication: May 2014 This survey has been requested by the European Commission,
Rapid Damage Assessment Methodology for Catastrophic Souris River Flooding Minot, North Dakota Analyzing the Extent of Flooding Impacts Using Site Specific Analysis and User Generated Depth Grids Jesse
1. In the diagram below, the direct rays of the Sun are striking the Earth's surface at 23 º N. What is the date shown in the diagram? 5. During how many days of a calendar year is the Sun directly overhead
u Chapter 15 Infrared Spectroscopy: Theory An important tool of the organic chemist is Infrared Spectroscopy, or IR. IR spectra are acquired on a special instrument, called an IR spectrometer. IR is used
HYDROGRAPHIC DEPARTMENT MARITIME AND PORT AUTHORITY OF SINGAPORE (MPA) (Version: July 2015) GENERAL SPECIFICATIONS FOR THE CONDUCT OF HYDROGRAPHIC SURVEYS 1 Engagement of Commercial Hydrographic Surveyor
Online Department Stores What are we searching for? 2 3 CONTENTS Table of contents 02 Table of contents 03 Search 06 Fashion vs. footwear 04 A few key pieces 08 About SimilarWeb Stepping up the Competition
The Characterisation of Six Natural Resources Production Systems J. Taylor, M. Tang, C. Beddows, F.M. Quin, M.A. Stocking August 2003 We wish to thank the following people and projects for supplying the
Pipe Valves, Fittings and Nipples MAXIMATOR has been designing and manufacturing high pressure equipment for more than thirty years and has a worldwide reputation for quality and reliability, backed by