1 Introduction to the Recommendations and their Application Principles

Size: px
Start display at page:

Download "1 Introduction to the Recommendations and their Application Principles"

Transcription

1 1 Introuction to the Recommenations an their Application Principles 1.1 National an International Regulations for Piling Wors (1) Since the implementation ofdin EN : : Eurocoe 7: Geotechnical Design Part 1: General Rules, pile analysis an esign in Germany is governeby Section 7ofEurocoe EC7-1 (Eurocoe 7), in conjunctionwith DIN1054: : Subsoil Verification of the Safety ofearthwors an Founations Supplementary Rules tothe German version DIN EN , anthe National Annex to EC 7-1, namely DINEN1997-1/NA: : National Annex Nationally Determine Parameters Eurocoe 7: Geotechnical Design Part 1: General Rules. These three coorinate ocuments are summarise in the German Eurocoe 7 Hanboo,Volume1[44]. Note: In case amenments or corrections are mae to the stanars inclue in the German Eurocoe 7 Hanboo, Volume 1[44], the changes must be aopte even when not yet incorporate in [44]. (2) In aition, the iniviual pile systems are governe by the following execution stanars: DINEN1536: DINSPEC18140: DINEN12699: DINSPEC18538: DINEN14199: DINSPEC18539: DINEN12794: DINEN1993-5: Execution of special geotechnicalwors Bore piles. Supplementary provisions to DINEN1536. Execution ofspecial geotechnical wors Displacement piles. Supplementary provisions to DINEN Executionofspecialgeotechnicalwors Micropiles. Supplementary provisions to DINEN Precastconcrete proucts Founation piles. Designofsteel structures Part 5: Piling. (3) Because iaphragm wall elements are often employe in the same way as pile founations, the respective execution stanar must also be consiere: DINEN1538: in conjunction with: DIN4126: Execution of special geotechnical wors Diaphragm walls Stability analysis of iaphragm walls. Recommenations on Piling EAPfähle. Eitors: German Geotechnical Society (DeutscheGesellschaft für Geotechni e.v.) 2014 Ernst &Sohn GmbH&Co. KG. Publishe 2014 by Ernst&Sohn GmbH&Co. KG. 1

2 (4) In aition, several ISO stanars are being compile for a number of special topics relating topiles. They are however not liely tobeimplemente as builing regulations in Germany.Currently,these inclue: DIN EN ISO : 2 Geotechnical investigation an testing Testing of geotechnical structures Part 1: Pile loa test bystatic axially loae compression. On a national basis, the regulations in Section 9 shoul be aopte for static pile testing. 1.2 Types of Analysis an Limit States using the Partial Safety Factor Approach New stanars generation an their application to pile founations (1) By European Commission ecision national builing esign an execution stanars either alreay have been or will in future be replace by European stanars. Actually numerous European stanars have been publishe for geotechnical esignan execution ofspecial geotechnical wors. (2) The European stanars governing pile executionare liste in 1.1. (3) Analysis an esign of pile founations is ealt with in the European stanar DIN EN : Geotechnical Design (Eurocoe 7) in conjunction with DIN 1054 an DIN EN /NA, see 1.1. These three stanars were implemente by the German Builing Authorities for use in Germany as of (4) Until the time of implementation ofthe Eurocoes asbining builing regulations a new generation of national stanars using the partial safety factor approach serve as temporary solution for all fiels of structural engineering. The following stanars inparticular represente the governing stanars forpile founations: DIN : : DIN1054: : DIN18800: : DIN : : Basis of structural esign; Verificationofthe safetyofearthwors anfouna- tions; Steel structuresan; Concrete, reinforcean prestresse concretestruc- tures Part 2: Concrete Specification, properties, prouctionan conformity Applicationrules for DINEN (5) These Recommenations on Piling (EA-Pfähle) are base on the stanars liste in 1.1 above an, for esign in particular, on Eurocoe EC 7-1, in conjunction with DIN1054 an thenaasstipulate in 1.1 (1).

3 1.2.2 Actions, effects an resistances (1) The partial safety factor approach has its origins in probability theory, as use to specify the requisite safety factors from a probabilistic perspective. In contrast to this, with the implementation of DIN 1054: , the new geotechnical stanars generation follows a more pragmatic split of the previously common global safety factors into partial safety factors for actions or effects, an partial safety factors for resistances. (2) The basis for stability analyses is represente by the characteristic values for actions an resistances. The characteristic value, represente by the inex, is avalue of which the specifie probability isassume nottobeexceee or fallen short of uring the reference perio, taing into consieration the esign woring life of the structure or the corresponing esign situation. Characteristic values are generally specifie base on testing, measurements, analyses or empiricism. (3) If the internal or external pile capacity nees to be analyse, the effects at the pile heaoratgiven epths are require: As action effects, e.g. normalforce,shear force,bening moment; As stresses, e.g. compression, tension, bening stress, shear stress orequivalent stress. In aition, further effectsofactions can occur: As ynamicorcyclic loas; As change to the structural element, e.g. strain, eformationorcrac with; As change in the position ofisolate piles orpile groups, e.g. isplacement, settlement,rotation. (4) The cross-section an the internal resistance ofthe material are the governing factors in the esign of iniviual components. Specific stanars are to be applie for this purpose. (5) The characteristic values of the effects are multiplie by partial safety factors, those of resistances are ivie. The values acquire in this way are esignate as esign values of effects or resistances respectively an are characterise by the inex. For stability analyses, ifferent limit states are istinguishe,also see 1.2.3, an 3.1.1(4). (6) In aition to actions, esign situations are also taen into consieration for pile analyses, similar to other structural elements. To this en the previous loaing cases LC 1, LC 2 an LC 3, aopte for use in analysis accoring to DIN 1054: , have been converte to esign situations for use in analyses after DIN EN (EC 7-1) an DIN 1054: , an DIN EN 1990 as follows: BS-P(persistent(esign) situation); BS-T (transient(esign) situation) an; BS-A(acciental (esign)situation). 3

4 In aition, there is the seismic esign situation BS-E. More etaile information isgiven in theec7-1 German Hanboo [44] an in[133] Limit states an national application of the EC 7-1 German Hanboo (1) The term limit state isusewith two ifferentmeanings: a) In soil mechanics, the state of the soil in which isplacements of iniviual soil particles against each other are so great that the mobilisable shear strength achieves its greatest values in either the entire soil mass, or at least in the region of afailure plane, isnown as the limit state of plastic flow. It cannot become greater even if more movement occurs, but coul become smaller. The limit state of plastic flow characterises the active earth pressure, passive earth pressure, bearing capacity, external pile failure, slope stability, anglobal stability. b) Asecon limit state in the sense ofthe new safety factor approach isastate of the loa-bearing structure where, if exceee, the esign requirements are no longer fulfille. (2) The following limit states are ifferentiate using the partial safety factor approach: a) The ultimate limit state is a conition of the structure which, if exceee, immeiately leas to a calculate collapse or another form of failure. It is referre to as ULS in EC 7 an DIN1054. Further istinguishing is escribein(5). b) The serviceability limit state is a conition of the structure which, if exceee, no longer fulfils the conitions specifie for its use. It is referre to as SLS in EC 7an DIN1054. (3) For ultimate limit state analysis (ULS), Eurocoe EC 7-1 provies three options. With one exception (see (6) an (9)), the supplementary rules of DIN1054 for use ingermany are base on Analysis Metho 2ofEC7-1. The partial safety factors are applie to both, effects an resistances. To ifferentiate this from the other permitte scenario, in which the partial safety factors are not applie tothe effects but to the actions, this proceure is esignate as Analysis Metho 2* in [133], also see the EC 7-1 Hanboo [44]. (4) The National Annex to EC 7-1 an DIN 1054 represent a formal lin between EC 7-1 an national German stanars, see EC 7-1 German Hanboo [44]. In DIN 1054 an the National Annex it is state which of the possible analysis methos an partial safety factors are applicable in the respective national omains. In aition, the applicable, supplementary national coes may also be given. The supplementary national coes may not contraict EC 7-1. Moreover, the National Annex may not repeat information alreay given in EC

5 (5) Eurocoe EC 7-1 istinguishes the following suborinate limit states of the ultimate limit state (ULS): a) EQU: Loss of equilibrium of the structure, regare as a rigi boy, or the groun. The esignation iserive from equilibrium. b) STR: Internalfailure or very largeeformations of the structure or its structural elements, where the strength of the materials governs the resistance. The esignation is erive from structural failure. c) GEO: Failure or very large eformation of the structure or the groun, where the strength of the soil or roc governs the resistance. The esignation iserive from geotechnical failure. ) UPL: Loss of equilibrium of the structure orthe groun ue to buoyancy or water pressure.the esignation iserive from uplift. e) HYD: Hyraulic groun failure, internal erosion of or piping in the groun, cause by a flow graient. The esignation is erive from hyraulic failure. (6) In the terminology of the EC 7-1 German Hanboo [44] the GEO limit state is sub-ivie into GEO-2 an GEO-3: a) GEO-2: Failure or very large eformation of the groun in conjunction with the calculation of the action effects an the imensions, i.e. when utilising shear strength for passive earth pressure, for sliing resistance an bearing resistance, an when analysing eep slie surface stability for anchore retaining walls, an for base resistance an sin friction of pile founations. The GEO-2 limit state calculation follows Analysis Metho 2*, see(3), as outline inthe EC 7-1 GermanHanboo [44]. b) GEO-3: Failure or very large eformation of the groun in conjunction with the analysis of the overall stability, i.e. when utilising the shear strength for analysis of the safety against slope failure an global failure an, normally, when analysing slope stabilisation measures, incluing consieration of structural elements, e.g. anchors or piles. The GEO-3 limit state calculation follows Analysis Metho 3 as outline in the EC 7-1 German Hanboo[44]. (7) The EQU, UPL an HYD limit states escribe the loss of static equilibrium. These inclue: a) Safetyanalysis against overturning (EQU); b) Safety analysis against buoyancy or uplift, e.g. of a tension pile group (UPL); c) Safetyanalysis against hyraulic heave (HYD). (8) The limit states EQU, UPL an HYD involve actions only, but no resistances. The governing limit state conition is: F = F γ G γ = G ; (1.1) st stb 5

6 i.e. the estabilising actions F,multiplie by the partial safety factor γ st 1,0, may only beaslarge asthe stabilising action G,multiplie bythe partial safety factor γ stb <1,0. (9) The GEO-2 limit state escribes the failure of structures an structural elements or the failure ofthe groun. It inclues: a) Analysis of the bearing capacity of structures an structural elements subjecte to loas fromthe groun or supporte by the groun; b) Analysis of the bearing capacity of the groun to emonstrate that it is not exceee, e.g. passive earth pressure, bearing resistance, pile resistance or sliing resistance. The analysis to emonstrate that the bearing capacity of the groun is not exceee is performe exactly as for any other construction material. The limit state conition isalways the governingconition: 6 E = E γ R γ = R ; (1.2) F R i.e. the characteristic effect E,multiplie bythe partial safety factor γ F for actions or strains, may only become aslarge as the characteristic resistance R, ivie bythe partial safety factor γ R. (10) The GEO-3 limit state is a peculiarity of earthwors an groun engineering.itescribesthe loss of overallstability. It inclues: a) Analysis of safety against slope failure; b) Analysis of safety against global failure. The limit state conition isalwaysthe governing conition: E R ; (1.3) i.e. the esign value E of the effects may only become as large as the esign value of the resistance R.The geotechnical actions an resistances are etermine using the esign values forshear strength: tanϕ = tanϕ γ an c = c γ an,respectively (1.4a) c tanϕ tanϕ ϕ γ u, = an u, ϕ u, u, c c = c γ ; (1.4b) i.e. the friction tan ϕ an the cohesion c are reuce from the outset using the partialsafety factors γ ϕ an γ c. (11) The serviceability limit state (SLS) escribes the state of a structure or structural element at which the conitions specifie for its use are no longer met, but without loss of its bearing capacity. The analysis is base on the anticipate isplacements an eformations being compatible with the purpose of the structure.

7 1.2.4 Transitional regulations for applying of the Recommenations on Piling in conjunction with the EC7-1 German Hanboo (1) These Recommenations on Piling are base on the provisions of the EC 7-1German Hanboo[44]. (2) Aecisive ifference between the provisions of the EC7-1 German Hanboo [44] an DIN 1054: is the specification of ifferent partial safety factors γ P (lower) an the correlation factors ξ (higher) for pile founations. Overall, however, γ P an ξ result inacomparable magnitue onthe resisting sie, lie DIN 1054: ,see [59]. (3) The existing limit states to DIN 1054: are replace as follows in the EC7-1 German Hanboo [44]: a) The previous GZ 1A limit state to DIN 1054: correspons without restrictions to the EQU, UPL an HYD limit states as in the EC 7-1 German Hanboo[44]. b) The previous GZ 1B limit state to DIN 1054: correspons without restrictions to the STR limit state as in the EC 7-1 German Hanboo [44] as the internal pile capacity (material strength). In aition, there is the GEO-2 limit state as in the EC 7-1 German Hanboo [44], in conjunction with the external esign of the founation elements, e.g. the external pile capacity. c) The previous GZ 1C limit state as in DIN 1054: correspons to the GEO-3 limit state as in the EC 7-1 German Hanboo [44], in conjunction with the analysis of the overall stability, i.e. when utilising the shear strength for analysis of safety against slope failure an global failure. 1.3 Planning an Testing Pile Founations (1) These Recommenations use the terms esigner (planner) as the EC 7-1 German Hanboo[44]an theec7-2 German Hanboo [45]. (2) The esigner shoul consult a specialist pile founation planner if not in possession of the requisite nowlege an experience for pile founation planning. (3) A geotechnical esign report must be compile for pile founations in accorance with the EC 7-1 German Hanboo [44], which must mae reference to the groun investigation report in accorance with the EC 7-2 German Hanboo [45]. (4) Pile founations are classifie as either Geotechnical Category GC 2 or Geotechnical Category GC3.See 3.2 an the EC7-1 German Hanboo [44] for classification criteria. (5) Where pile founations are classifie as Geotechnical Category GC 3, a geotechnical expert with requisite experience must be consulte uring the 7

8 structural engineering appraisal of the groun investigation report an the geotechnical esign report. In particular, the geotechnical expert shoul verify the groun moel, the soil parameters an the esign approach, an, in agreement with the inepenent verifier, shoul carryout comparativeanalyses. (6) The execution of pile founations shoul be supervise by a specialist planner or a geotechnical expert with the requisite experience an specialist nowlege of pile founations. Where pile founations are classifie as Geotechnical Category GC 3, the expert mentione in(5) must also beconsulte to chec the etaile esign an to supervise the pile execution wors. 8

11 CHAPTER 11: FOOTINGS

11 CHAPTER 11: FOOTINGS CHAPTER ELEVEN FOOTINGS 1 11 CHAPTER 11: FOOTINGS 11.1 Introuction Footings are structural elements that transmit column or wall loas to the unerlying soil below the structure. Footings are esigne to transmit

More information

FAST JOINING AND REPAIRING OF SANDWICH MATERIALS WITH DETACHABLE MECHANICAL CONNECTION TECHNOLOGY

FAST JOINING AND REPAIRING OF SANDWICH MATERIALS WITH DETACHABLE MECHANICAL CONNECTION TECHNOLOGY FAST JOINING AND REPAIRING OF SANDWICH MATERIALS WITH DETACHABLE MECHANICAL CONNECTION TECHNOLOGY Jörg Felhusen an Sivakumara K. Krishnamoorthy RWTH Aachen University, Chair an Insitute for Engineering

More information

State of Louisiana Office of Information Technology. Change Management Plan

State of Louisiana Office of Information Technology. Change Management Plan State of Louisiana Office of Information Technology Change Management Plan Table of Contents Change Management Overview Change Management Plan Key Consierations Organizational Transition Stages Change

More information

GeTec Ingenieurgesellschaft für Informations- und Planungstechnologie mbh. www.getec-ac.de. Presented by

GeTec Ingenieurgesellschaft für Informations- und Planungstechnologie mbh. www.getec-ac.de. Presented by The Design of vibro replacement Dipl.-Ing. Heinz J. Priebe Presente by GeTec Ingenieurgesellschaft für Informations- un Planungstechnologie mbh Rhein-Main Office +49 69 800 6624 Fax +49 69 800 4977 Aachen

More information

EUROCODE 7 & POLISH PRACTICE

EUROCODE 7 & POLISH PRACTICE EUROCODE 7 & POLISH PRACTICE Implementation of Eurocode 7 in Poland Beata Gajewska Road and Bridge Research Institute In Poland the designing with limit states and partial factors was introduced in 1974.

More information

ULTIMATE LIMIT STATES DESIGN

ULTIMATE LIMIT STATES DESIGN CHAPTER 10 ULTIMATE LIMIT STATES DESIGN Article 41. Equilibrium Limit State It shoul be verifie that the equilibrium limits (overturning, sliing, etc.), are not exceee uner the least favourable loaing

More information

EN 1997-1 Eurocode 7. Section 10 Hydraulic Failure Section 11 Overall Stability Section 12 Embankments. Trevor L.L. Orr Trinity College Dublin Ireland

EN 1997-1 Eurocode 7. Section 10 Hydraulic Failure Section 11 Overall Stability Section 12 Embankments. Trevor L.L. Orr Trinity College Dublin Ireland EN 1997 1: Sections 10, 11 and 12 Your logo Brussels, 18-20 February 2008 Dissemination of information workshop 1 EN 1997-1 Eurocode 7 Section 10 Hydraulic Failure Section 11 Overall Stability Section

More information

CALCULATION INSTRUCTIONS

CALCULATION INSTRUCTIONS Energy Saving Guarantee Contract ppenix 8 CLCULTION INSTRUCTIONS Calculation Instructions for the Determination of the Energy Costs aseline, the nnual mounts of Savings an the Remuneration 1 asics ll prices

More information

Manure Spreader Calibration

Manure Spreader Calibration Agronomy Facts 68 Manure Spreaer Calibration Manure spreaer calibration is an essential an valuable nutrient management tool for maximizing the efficient use of available manure nutrients. Planne manure

More information

How To Understand The Structure Of A Can (Can)

How To Understand The Structure Of A Can (Can) Thi t t ith F M k 4 0 4 BOSCH CAN Specification Version 2.0 1991, Robert Bosch GmbH, Postfach 50, D-7000 Stuttgart 1 The ocument as a whole may be copie an istribute without restrictions. However, the

More information

BOSCH. CAN Specification. Version 2.0. 1991, Robert Bosch GmbH, Postfach 30 02 40, D-70442 Stuttgart

BOSCH. CAN Specification. Version 2.0. 1991, Robert Bosch GmbH, Postfach 30 02 40, D-70442 Stuttgart CAN Specification Version 2.0 1991, Robert Bosch GmbH, Postfach 30 02 40, D-70442 Stuttgart CAN Specification 2.0 page 1 Recital The acceptance an introuction of serial communication to more an more applications

More information

Foundation design to Eurocode 7

Foundation design to Eurocode 7 Foundation design to Eurocode 7 Dr Andrew Bond (Geocentrix) Outline of talk Overview of Eurocode 7 New principles for geotechnical design Impact on retaining wall design Impact on pile design Benefits

More information

INTRODUCTION TO BEAMS

INTRODUCTION TO BEAMS CHAPTER Structural Steel Design LRFD etho INTRODUCTION TO BEAS Thir Eition A. J. Clark School of Engineering Department of Civil an Environmental Engineering Part II Structural Steel Design an Analsis

More information

INFLUENCE OF GPS TECHNOLOGY ON COST CONTROL AND MAINTENANCE OF VEHICLES

INFLUENCE OF GPS TECHNOLOGY ON COST CONTROL AND MAINTENANCE OF VEHICLES 1 st Logistics International Conference Belgrae, Serbia 28-30 November 2013 INFLUENCE OF GPS TECHNOLOGY ON COST CONTROL AND MAINTENANCE OF VEHICLES Goran N. Raoičić * University of Niš, Faculty of Mechanical

More information

Data Center Power System Reliability Beyond the 9 s: A Practical Approach

Data Center Power System Reliability Beyond the 9 s: A Practical Approach Data Center Power System Reliability Beyon the 9 s: A Practical Approach Bill Brown, P.E., Square D Critical Power Competency Center. Abstract Reliability has always been the focus of mission-critical

More information

The concept of on-board diagnostic system of working machine hydraulic system

The concept of on-board diagnostic system of working machine hydraulic system Scientific Journals Maritime University of Szczecin Zeszyty Naukowe Akaemia Morska w Szczecinie 0, 3(04) z. pp. 8 90 0, 3(04) z. s. 8 90 The concept of on-boar iagnostic of working machine hyraulic Leszek

More information

Towards a Framework for Enterprise Architecture Frameworks Comparison and Selection

Towards a Framework for Enterprise Architecture Frameworks Comparison and Selection Towars a Framework for Enterprise Frameworks Comparison an Selection Saber Aballah Faculty of Computers an Information, Cairo University Saber_aballah@hotmail.com Abstract A number of Enterprise Frameworks

More information

JON HOLTAN. if P&C Insurance Ltd., Oslo, Norway ABSTRACT

JON HOLTAN. if P&C Insurance Ltd., Oslo, Norway ABSTRACT OPTIMAL INSURANCE COVERAGE UNDER BONUS-MALUS CONTRACTS BY JON HOLTAN if P&C Insurance Lt., Oslo, Norway ABSTRACT The paper analyses the questions: Shoul or shoul not an iniviual buy insurance? An if so,

More information

HOW TO DESIGN CONCRETE STRUCTURES Foundations

HOW TO DESIGN CONCRETE STRUCTURES Foundations HOW TO DESIGN CONCRETE STRUCTURES Foundations Instructions for the Members of BIBM, CEMBUREAU, EFCA and ERMCO: It is the responsibility of the Members (national associations) of BIBM, CEMBUREAU, EFCA and

More information

MODELLING OF TWO STRATEGIES IN INVENTORY CONTROL SYSTEM WITH RANDOM LEAD TIME AND DEMAND

MODELLING OF TWO STRATEGIES IN INVENTORY CONTROL SYSTEM WITH RANDOM LEAD TIME AND DEMAND art I. robobabilystic Moels Computer Moelling an New echnologies 27 Vol. No. 2-3 ransport an elecommunication Institute omonosova iga V-9 atvia MOEING OF WO AEGIE IN INVENOY CONO YEM WIH ANOM EA IME AN

More information

A NATIONAL MEASUREMENT GOOD PRACTICE GUIDE. No.107. Guide to the calibration and testing of torque transducers

A NATIONAL MEASUREMENT GOOD PRACTICE GUIDE. No.107. Guide to the calibration and testing of torque transducers A NATIONAL MEASUREMENT GOOD PRACTICE GUIDE No.107 Guie to the calibration an testing of torque transucers Goo Practice Guie 107 Measurement Goo Practice Guie No.107 Guie to the calibration an testing of

More information

An intertemporal model of the real exchange rate, stock market, and international debt dynamics: policy simulations

An intertemporal model of the real exchange rate, stock market, and international debt dynamics: policy simulations This page may be remove to conceal the ientities of the authors An intertemporal moel of the real exchange rate, stock market, an international ebt ynamics: policy simulations Saziye Gazioglu an W. Davi

More information

Geotechnical Standards Eurocodes. An update

Geotechnical Standards Eurocodes. An update Geotechnical Standards Eurocodes. An update Professor Ltd Sussex University EUROCOE 7 (EN 1997) Part 1 published. 2004 National Annex published 2007 Part 2 published Mar 2007 National Annex published 2010

More information

An introduction to the Red Cross Red Crescent s Learning platform and how to adopt it

An introduction to the Red Cross Red Crescent s Learning platform and how to adopt it An introuction to the Re Cross Re Crescent s Learning platform an how to aopt it www.ifrc.org Saving lives, changing mins. The International Feeration of Re Cross an Re Crescent Societies (IFRC) is the

More information

L4. Pipes Materials and Loads

L4. Pipes Materials and Loads The Islamic University of Gaza- Civil Engineering Department SanitaryEngineering- ECIV 4325 L4. Pipes Materials an Loas Base on Dr. Fahi Rabah lecture notes Pipes Materials an loas Materials use for pipes:

More information

A New Pricing Model for Competitive Telecommunications Services Using Congestion Discounts

A New Pricing Model for Competitive Telecommunications Services Using Congestion Discounts A New Pricing Moel for Competitive Telecommunications Services Using Congestion Discounts N. Keon an G. Ananalingam Department of Systems Engineering University of Pennsylvania Philaelphia, PA 19104-6315

More information

ThroughputScheduler: Learning to Schedule on Heterogeneous Hadoop Clusters

ThroughputScheduler: Learning to Schedule on Heterogeneous Hadoop Clusters ThroughputScheuler: Learning to Scheule on Heterogeneous Haoop Clusters Shehar Gupta, Christian Fritz, Bob Price, Roger Hoover, an Johan e Kleer Palo Alto Research Center, Palo Alto, CA, USA {sgupta, cfritz,

More information

Chapter 9 AIRPORT SYSTEM PLANNING

Chapter 9 AIRPORT SYSTEM PLANNING Chapter 9 AIRPORT SYSTEM PLANNING. Photo creit Dorn McGrath, Jr Contents Page The Planning Process................................................... 189 Airport Master Planning..............................................

More information

A review of conceptual transparency in US and Colombian seismic design building codes

A review of conceptual transparency in US and Colombian seismic design building codes INGENIEÍA E INESTIGACIÓN OL. 33 No. 2, AUGUST - 2013 (24-29) A review of conceptual transparency in US an Colombian seismic esign builing coes evisión e la transparencia conceptual en los reglamentos e

More information

A Monte Carlo Simulation of Multivariate General

A Monte Carlo Simulation of Multivariate General A Monte Carlo Simulation of Multivariate General Pareto Distribution an its Application 1 1 1 1 1 1 1 1 0 1 Luo Yao 1, Sui Danan, Wang Dongxiao,*, Zhou Zhenwei, He Weihong 1, Shi Hui 1 South China Sea

More information

Product Differentiation for Software-as-a-Service Providers

Product Differentiation for Software-as-a-Service Providers University of Augsburg Prof. Dr. Hans Ulrich Buhl Research Center Finance & Information Management Department of Information Systems Engineering & Financial Management Discussion Paper WI-99 Prouct Differentiation

More information

The Quick Calculus Tutorial

The Quick Calculus Tutorial The Quick Calculus Tutorial This text is a quick introuction into Calculus ieas an techniques. It is esigne to help you if you take the Calculus base course Physics 211 at the same time with Calculus I,

More information

Consumer Referrals. Maria Arbatskaya and Hideo Konishi. October 28, 2014

Consumer Referrals. Maria Arbatskaya and Hideo Konishi. October 28, 2014 Consumer Referrals Maria Arbatskaya an Hieo Konishi October 28, 2014 Abstract In many inustries, rms rewar their customers for making referrals. We analyze the optimal policy mix of price, avertising intensity,

More information

Safety Management System. Initial Revision Date: Version Revision No. 02 MANUAL LIFTING

Safety Management System. Initial Revision Date: Version Revision No. 02 MANUAL LIFTING Revision Preparation: Safety Mgr Authority: Presient Issuing Dept: Safety Page: Page 1 of 11 Purpose is committe to proviing a safe an healthy working environment for all employees. Musculoskeletal isorers

More information

Optimal Control Policy of a Production and Inventory System for multi-product in Segmented Market

Optimal Control Policy of a Production and Inventory System for multi-product in Segmented Market RATIO MATHEMATICA 25 (2013), 29 46 ISSN:1592-7415 Optimal Control Policy of a Prouction an Inventory System for multi-prouct in Segmente Market Kuleep Chauhary, Yogener Singh, P. C. Jha Department of Operational

More information

Innovative rules in Eurocode 3, Part 1-10 for the choice of material toughness and the wide range of applicability

Innovative rules in Eurocode 3, Part 1-10 for the choice of material toughness and the wide range of applicability NSCC2009 Innovative rules in Eurocoe 3, Part 1-10 for the choice of material toughness an the wie range of applicability B. ühn 1 & G. Selacek 2 1 Verheyen-Ingenieure GmbH & Co. G, Ba reuznach, Germany

More information

Lecture L25-3D Rigid Body Kinematics

Lecture L25-3D Rigid Body Kinematics J. Peraire, S. Winall 16.07 Dynamics Fall 2008 Version 2.0 Lecture L25-3D Rigi Boy Kinematics In this lecture, we consier the motion of a 3D rigi boy. We shall see that in the general three-imensional

More information

! # % & ( ) +,,),. / 0 1 2 % ( 345 6, & 7 8 4 8 & & &&3 6

! # % & ( ) +,,),. / 0 1 2 % ( 345 6, & 7 8 4 8 & & &&3 6 ! # % & ( ) +,,),. / 0 1 2 % ( 345 6, & 7 8 4 8 & & &&3 6 9 Quality signposting : the role of online information prescription in proviing patient information Liz Brewster & Barbara Sen Information School,

More information

Option Pricing for Inventory Management and Control

Option Pricing for Inventory Management and Control Option Pricing for Inventory Management an Control Bryant Angelos, McKay Heasley, an Jeffrey Humpherys Abstract We explore the use of option contracts as a means of managing an controlling inventories

More information

Pluvia Product and Installation Guide

Pluvia Product and Installation Guide Pluvia Prouct an Installation Guie Vali from 1. August 2011 Series 5 Pluvia outlets Page 3 Series 5 Outlet accessories Page 4 Series 7 Pluvia outlets Page 4 Series 7 Pluvia accessories Page 9 Series 7

More information

A Universal Sensor Control Architecture Considering Robot Dynamics

A Universal Sensor Control Architecture Considering Robot Dynamics International Conference on Multisensor Fusion an Integration for Intelligent Systems (MFI2001) Baen-Baen, Germany, August 2001 A Universal Sensor Control Architecture Consiering Robot Dynamics Frierich

More information

f(x) = a x, h(5) = ( 1) 5 1 = 2 2 1

f(x) = a x, h(5) = ( 1) 5 1 = 2 2 1 Exponential Functions an their Derivatives Exponential functions are functions of the form f(x) = a x, where a is a positive constant referre to as the base. The functions f(x) = x, g(x) = e x, an h(x)

More information

CHAPITRE 18. Exemple de calcul d ossature en portique en béton armé.

CHAPITRE 18. Exemple de calcul d ossature en portique en béton armé. 18-1 CHAPITRE 18. Exemple e calcul ossature en portique en béton armé. Example prepare by PHUNG NGOC DUNG, PhD researcher at ULg. Note 1!!! In this example, notation «ot.» stans for coma,. Example: 1.

More information

Mathematics Review for Economists

Mathematics Review for Economists Mathematics Review for Economists by John E. Floy University of Toronto May 9, 2013 This ocument presents a review of very basic mathematics for use by stuents who plan to stuy economics in grauate school

More information

Digital barrier option contract with exponential random time

Digital barrier option contract with exponential random time IMA Journal of Applie Mathematics Avance Access publishe June 9, IMA Journal of Applie Mathematics ) Page of 9 oi:.93/imamat/hxs3 Digital barrier option contract with exponential ranom time Doobae Jun

More information

Performance And Analysis Of Risk Assessment Methodologies In Information Security

Performance And Analysis Of Risk Assessment Methodologies In Information Security International Journal of Computer Trens an Technology (IJCTT) volume 4 Issue 10 October 2013 Performance An Analysis Of Risk Assessment ologies In Information Security K.V.D.Kiran #1, Saikrishna Mukkamala

More information

Heat-And-Mass Transfer Relationship to Determine Shear Stress in Tubular Membrane Systems Ratkovich, Nicolas Rios; Nopens, Ingmar

Heat-And-Mass Transfer Relationship to Determine Shear Stress in Tubular Membrane Systems Ratkovich, Nicolas Rios; Nopens, Ingmar Aalborg Universitet Heat-An-Mass Transfer Relationship to Determine Shear Stress in Tubular Membrane Systems Ratkovich, Nicolas Rios; Nopens, Ingmar Publishe in: International Journal of Heat an Mass Transfer

More information

Lagrange s equations of motion for oscillating central-force field

Lagrange s equations of motion for oscillating central-force field Theoretical Mathematics & Applications, vol.3, no., 013, 99-115 ISSN: 179-9687 (print), 179-9709 (online) Scienpress Lt, 013 Lagrange s equations of motion for oscillating central-force fiel A.E. Eison

More information

Modelling and Resolving Software Dependencies

Modelling and Resolving Software Dependencies June 15, 2005 Abstract Many Linux istributions an other moern operating systems feature the explicit eclaration of (often complex) epenency relationships between the pieces of software

More information

N O T I C E O F E X A M I N A T I O N

N O T I C E O F E X A M I N A T I O N THE CITY OF NEW YORK DEPARTMENT OF CITYWIDE ADMINISTRATIVE SERVICES APPLICATIONS CENTER 18 WASHINGTON STREET NEW YORK, NY 10004 N O T I C E O F E X A M I N A T I O N ACTIVITY THERAPIST (HHC) Exam. No.

More information

Exponential Functions: Differentiation and Integration. The Natural Exponential Function

Exponential Functions: Differentiation and Integration. The Natural Exponential Function 46_54.q //4 :59 PM Page 5 5 CHAPTER 5 Logarithmic, Eponential, an Other Transcenental Functions Section 5.4 f () = e f() = ln The inverse function of the natural logarithmic function is the natural eponential

More information

Detecting Possibly Fraudulent or Error-Prone Survey Data Using Benford s Law

Detecting Possibly Fraudulent or Error-Prone Survey Data Using Benford s Law Detecting Possibly Frauulent or Error-Prone Survey Data Using Benfor s Law Davi Swanson, Moon Jung Cho, John Eltinge U.S. Bureau of Labor Statistics 2 Massachusetts Ave., NE, Room 3650, Washington, DC

More information

Modeling and Predicting Popularity Dynamics via Reinforced Poisson Processes

Modeling and Predicting Popularity Dynamics via Reinforced Poisson Processes Proceeings of the Twenty-Eighth AAAI Conference on Artificial Intelligence Moeling an Preicting Popularity Dynamics via Reinforce Poisson Processes Huawei Shen 1, Dashun Wang 2, Chaoming Song 3, Albert-László

More information

Products no longer available

Products no longer available Technical ata sheet R6..R haracterize control valves, 2-way, with flange PN 6 for open an close col an warm water systems for moulating control on the water sie of air-hanling an heating systems air bubble-tight

More information

Introduction to Integration Part 1: Anti-Differentiation

Introduction to Integration Part 1: Anti-Differentiation Mathematics Learning Centre Introuction to Integration Part : Anti-Differentiation Mary Barnes c 999 University of Syney Contents For Reference. Table of erivatives......2 New notation.... 2 Introuction

More information

Enterprise Resource Planning

Enterprise Resource Planning Enterprise Resource Planning MPC 6 th Eition Chapter 1a McGraw-Hill/Irwin Copyright 2011 by The McGraw-Hill Companies, Inc. All rights reserve. Enterprise Resource Planning A comprehensive software approach

More information

Calculating Viscous Flow: Velocity Profiles in Rivers and Pipes

Calculating Viscous Flow: Velocity Profiles in Rivers and Pipes previous inex next Calculating Viscous Flow: Velocity Profiles in Rivers an Pipes Michael Fowler, UVa 9/8/1 Introuction In this lecture, we ll erive the velocity istribution for two examples of laminar

More information

10.2 Systems of Linear Equations: Matrices

10.2 Systems of Linear Equations: Matrices SECTION 0.2 Systems of Linear Equations: Matrices 7 0.2 Systems of Linear Equations: Matrices OBJECTIVES Write the Augmente Matrix of a System of Linear Equations 2 Write the System from the Augmente Matrix

More information

Lagrangian and Hamiltonian Mechanics

Lagrangian and Hamiltonian Mechanics Lagrangian an Hamiltonian Mechanics D.G. Simpson, Ph.D. Department of Physical Sciences an Engineering Prince George s Community College December 5, 007 Introuction In this course we have been stuying

More information

Fluid Pressure and Fluid Force

Fluid Pressure and Fluid Force 0_0707.q //0 : PM Page 07 SECTION 7.7 Section 7.7 Flui Pressure an Flui Force 07 Flui Pressure an Flui Force Fin flui pressure an flui force. Flui Pressure an Flui Force Swimmers know that the eeper an

More information

Energy-Efficient System of Feedstock Transport Operating in a System of Particulate Material Forming Press Compact Sintering Furnace

Energy-Efficient System of Feedstock Transport Operating in a System of Particulate Material Forming Press Compact Sintering Furnace Energy-Efficient System of Feestock Transport Operating in a System of Particulate Material Forming Press Compact Sintering Furnace R. Moszumański Astract Compare to casting an plastic forming of soli

More information

Achieving quality audio testing for mobile phones

Achieving quality audio testing for mobile phones Test & Measurement Achieving quality auio testing for mobile phones The auio capabilities of a cellular hanset provie the funamental interface between the user an the raio transceiver. Just as RF testing

More information

How To Price Internet Access In A Broaban Service Charge On A Per Unit Basis

How To Price Internet Access In A Broaban Service Charge On A Per Unit Basis iqui Pricing for Digital Infrastructure Services Subhajyoti Banyopahyay * an sing Kenneth Cheng Department of Decision an Information Sciences Warrington College of Business Aministration University of

More information

RUNESTONE, an International Student Collaboration Project

RUNESTONE, an International Student Collaboration Project RUNESTONE, an International Stuent Collaboration Project Mats Daniels 1, Marian Petre 2, Vicki Almstrum 3, Lars Asplun 1, Christina Björkman 1, Carl Erickson 4, Bruce Klein 4, an Mary Last 4 1 Department

More information

View Synthesis by Image Mapping and Interpolation

View Synthesis by Image Mapping and Interpolation View Synthesis by Image Mapping an Interpolation Farris J. Halim Jesse S. Jin, School of Computer Science & Engineering, University of New South Wales Syney, NSW 05, Australia Basser epartment of Computer

More information

SAMPLE SEO Analysis Report

SAMPLE SEO Analysis Report Page 1 SAMPLE SEO Analysis Report October 3, 2009 Page 2 SAMPLE Keywor Phrase Analysis: Tier #3 Hello Via Net Marketing, Below is the list of keywors that represents the market research that has been performe

More information

Toward mapping surface deformation in three dimensions using InSAR

Toward mapping surface deformation in three dimensions using InSAR GEOPHYSICAL RESEARCH LETTERS, VOL. 31, L01607, oi:10.1029/2003gl018827, 2004 Towar mapping surface eformation in three imensions using InSAR Tim J. Wright, 1 Barry E. Parsons, 1 an Zhong Lu 2 Receive 12

More information

JORDAHL Punching Shear Reinforcement JDA. For Everyone Who Needs More Space in Less Time. Technical Information. anchored in quality

JORDAHL Punching Shear Reinforcement JDA. For Everyone Who Needs More Space in Less Time. Technical Information. anchored in quality Punching Shear Reinforcement JORDAHL Punching Shear Reinforcement JDA For Everyone Who Nees More Space in Less Time. Technical Information anchore in quality Quality since 1907. JORDAHL s registere office

More information

Web Appendices of Selling to Overcon dent Consumers

Web Appendices of Selling to Overcon dent Consumers Web Appenices of Selling to Overcon ent Consumers Michael D. Grubb A Option Pricing Intuition This appenix provies aitional intuition base on option pricing for the result in Proposition 2. Consier the

More information

your reliable partner EAS -Compact Backlash-free Torque Limiting Clutches K.490.V14.EN

your reliable partner EAS -Compact Backlash-free Torque Limiting Clutches K.490.V14.EN ES -Compact Backlash-free Torque Limiting Clutches K.490.V4.EN www..com We safeguar the movements of this worl Specialists for power transmission for more than a century mayr power transmission is one

More information

Answers to the Practice Problems for Test 2

Answers to the Practice Problems for Test 2 Answers to the Practice Problems for Test 2 Davi Murphy. Fin f (x) if it is known that x [f(2x)] = x2. By the chain rule, x [f(2x)] = f (2x) 2, so 2f (2x) = x 2. Hence f (2x) = x 2 /2, but the lefthan

More information

Sponsored by: N.E.C.A. CHAPTERS Minneapolis, St. Paul, South Central, Twinports Arrowhead I.B.E.W. Locals 292, 110, 343, 242, 294

Sponsored by: N.E.C.A. CHAPTERS Minneapolis, St. Paul, South Central, Twinports Arrowhead I.B.E.W. Locals 292, 110, 343, 242, 294 Sponsore by: N.E.C.A. CHAPTERS Minneapolis, St. Paul, South Central, Twinports Arrowhea I.B.E.W. Locals 292, 110, 343, 242, 294 452 Northco Drive, Suite 140 Friley, MN 55432-3308 Phone: 763-571-5922 Fax:

More information

Principles and Practice of Earth Electrode Measurements

Principles and Practice of Earth Electrode Measurements Principles an Practice of Earth Electroe Measurements Document Information: Author: Whitham D. eeve evision: 0.0 (initial raft 06/18/2002) 0.1 (working raft 10/05/2003) 0.2 (aitional work 10/07/2003) 0.3

More information

Transmission and Distribution Networks: AC versus DC

Transmission and Distribution Networks: AC versus DC Transmission an Distribution Networks: AC versus DC D.M. Larruskain 1, I. Zamora 1, A.J. Mazón 1, O. Abarrategui 1, J. Monasterio 2 1 Department of Electrical Engineering University of the Basque Country

More information

Minimizing Makespan in Flow Shop Scheduling Using a Network Approach

Minimizing Makespan in Flow Shop Scheduling Using a Network Approach Minimizing Makespan in Flow Shop Scheuling Using a Network Approach Amin Sahraeian Department of Inustrial Engineering, Payame Noor University, Asaluyeh, Iran 1 Introuction Prouction systems can be ivie

More information

Firewall Design: Consistency, Completeness, and Compactness

Firewall Design: Consistency, Completeness, and Compactness C IS COS YS TE MS Firewall Design: Consistency, Completeness, an Compactness Mohame G. Goua an Xiang-Yang Alex Liu Department of Computer Sciences The University of Texas at Austin Austin, Texas 78712-1188,

More information

A Designers Simple Guide to BS EN 1997

A Designers Simple Guide to BS EN 1997 A Designers Simple Guide to BS EN 1997 January 2007 Department for Communities and Local Government: London On 5th May 2006 the responsibilities of the Office of the Deputy Prime Minister (ODPM) transferred

More information

On Adaboost and Optimal Betting Strategies

On Adaboost and Optimal Betting Strategies On Aaboost an Optimal Betting Strategies Pasquale Malacaria 1 an Fabrizio Smerali 1 1 School of Electronic Engineering an Computer Science, Queen Mary University of Lonon, Lonon, UK Abstract We explore

More information

Dow Jones Sustainability Group Index: A Global Benchmark for Corporate Sustainability

Dow Jones Sustainability Group Index: A Global Benchmark for Corporate Sustainability www.corporate-env-strategy.com Sustainability Inex Dow Jones Sustainability Group Inex: A Global Benchmark for Corporate Sustainability Ivo Knoepfel Increasingly investors are iversifying their portfolios

More information

Executive Summary of Adaptive Tools

Executive Summary of Adaptive Tools Executive Summary of Aaptive Tools from Water Resources an Climate Change Aaptation in Hawai i: Aaptive Tools in the Current Law an Policy Framework 2012 Full-length white paper available at http://icap.seagrant.soest.hawaii.eu/icap-publications

More information

Aon Retiree Health Exchange

Aon Retiree Health Exchange 2014 2015 Meicare Insurance Guie Aon Retiree Health Exchange Recommene by Why You Nee More Coverage I alreay have coverage. Aren t Meicare Parts A an B enough? For many people, Meicare alone oes not provie

More information

Calibration of the broad band UV Radiometer

Calibration of the broad band UV Radiometer Calibration of the broa ban UV Raiometer Marian Morys an Daniel Berger Solar Light Co., Philaelphia, PA 19126 ABSTRACT Mounting concern about the ozone layer epletion an the potential ultraviolet exposure

More information

The influence of anti-viral drug therapy on the evolution of HIV-1 pathogens

The influence of anti-viral drug therapy on the evolution of HIV-1 pathogens DIMACS Series in Discrete Mathematics an Theoretical Computer Science Volume 7, 26 The influence of anti-viral rug therapy on the evolution of HIV- pathogens Zhilan Feng an Libin Rong Abstract. An age-structure

More information

SEC Issues Proposed Guidance to Fund Boards Relating to Best Execution and Soft Dollars

SEC Issues Proposed Guidance to Fund Boards Relating to Best Execution and Soft Dollars September 2008 / Issue 21 A legal upate from Dechert s Financial Services Group SEC Issues Propose Guiance to Fun Boars Relating to Best Execution an Soft Dollars The Securities an Exchange Commission

More information

The one-year non-life insurance risk

The one-year non-life insurance risk The one-year non-life insurance risk Ohlsson, Esbjörn & Lauzeningks, Jan Abstract With few exceptions, the literature on non-life insurance reserve risk has been evote to the ultimo risk, the risk in the

More information

Given three vectors A, B, andc. We list three products with formula (A B) C = B(A C) A(B C); A (B C) =B(A C) C(A B);

Given three vectors A, B, andc. We list three products with formula (A B) C = B(A C) A(B C); A (B C) =B(A C) C(A B); 1.1.4. Prouct of three vectors. Given three vectors A, B, anc. We list three proucts with formula (A B) C = B(A C) A(B C); A (B C) =B(A C) C(A B); a 1 a 2 a 3 (A B) C = b 1 b 2 b 3 c 1 c 2 c 3 where the

More information

Mathematical Models of Therapeutical Actions Related to Tumour and Immune System Competition

Mathematical Models of Therapeutical Actions Related to Tumour and Immune System Competition Mathematical Moels of Therapeutical Actions Relate to Tumour an Immune System Competition Elena De Angelis (1 an Pierre-Emmanuel Jabin (2 (1 Dipartimento i Matematica, Politecnico i Torino Corso Duca egli

More information

ESTABLISHING MARINE ACCCIDENT CLASSIFICATION: A CASE STUDY IN TAIWAN

ESTABLISHING MARINE ACCCIDENT CLASSIFICATION: A CASE STUDY IN TAIWAN ESTABLISHING MARINE ACCCIDENT CLASSIFICATION: A CASE STUDY IN TAIWAN Chung-Ping Liu Caniate for octor's egree Department of Shipping an Transportation Management National Taiwan Ocean University 2, Pei-Ning

More information

Unbalanced Power Flow Analysis in a Micro Grid

Unbalanced Power Flow Analysis in a Micro Grid International Journal of Emerging Technology an Avance Engineering Unbalance Power Flow Analysis in a Micro Gri Thai Hau Vo 1, Mingyu Liao 2, Tianhui Liu 3, Anushree 4, Jayashri Ravishankar 5, Toan Phung

More information

Example Optimization Problems selected from Section 4.7

Example Optimization Problems selected from Section 4.7 Example Optimization Problems selecte from Section 4.7 19) We are aske to fin the points ( X, Y ) on the ellipse 4x 2 + y 2 = 4 that are farthest away from the point ( 1, 0 ) ; as it happens, this point

More information

Why is oil and grease-free so important in oxygen systems?

Why is oil and grease-free so important in oxygen systems? Why is oil an grease-free so important in oxygen systems? 1. Forewor Oxygen this vital gas is more complex in its use than one woul imagine when consiering how matter-of-factly we inhale an exhale every

More information

Mandate-Based Health Reform and the Labor Market: Evidence from the Massachusetts Reform

Mandate-Based Health Reform and the Labor Market: Evidence from the Massachusetts Reform Manate-Base Health Reform an the Labor Market: Evience from the Massachusetts Reform Jonathan T. Kolsta Wharton School, University of Pennsylvania an NBER Amana E. Kowalski Department of Economics, Yale

More information

Chapter 2 Kinematics of Fluid Flow

Chapter 2 Kinematics of Fluid Flow Chapter 2 Kinematics of Flui Flow The stuy of kinematics has flourishe as a subject where one may consier isplacements an motions without imposing any restrictions on them; that is, there is no nee to

More information

Sustainability Through the Market: Making Markets Work for Everyone q

Sustainability Through the Market: Making Markets Work for Everyone q www.corporate-env-strategy.com Sustainability an the Market Sustainability Through the Market: Making Markets Work for Everyone q Peter White Sustainable evelopment is about ensuring a better quality of

More information

DS/EN 13782 DK NA:2014

DS/EN 13782 DK NA:2014 National Annex to Temporary structures Tents - Safety Foreword This National Annex (NA) is the first Danish NA to EN 13782. This NA enters into force on 2014-10-15 and shall be applied as from 2015-02-01.

More information

The most common model to support workforce management of telephone call centers is

The most common model to support workforce management of telephone call centers is Designing a Call Center with Impatient Customers O. Garnett A. Manelbaum M. Reiman Davison Faculty of Inustrial Engineering an Management, Technion, Haifa 32000, Israel Davison Faculty of Inustrial Engineering

More information

Split plummer block housings SNV. For shaft diameters 20 mm to 160 mm and ¾ inches to 5½ inches

Split plummer block housings SNV. For shaft diameters 20 mm to 160 mm and ¾ inches to 5½ inches Split plummer block housings SNV For shaft iameters 20 mm to 160 mm an ¾ inches to 5½ inches Contents Features 2 Avantages 2 Dimensions 3 Material 3 Bearing seat an fitting of bearings 3 Seals an covers

More information

Supporting Adaptive Workflows in Advanced Application Environments

Supporting Adaptive Workflows in Advanced Application Environments Supporting aptive Workflows in vance pplication Environments Manfre Reichert, lemens Hensinger, Peter Daam Department Databases an Information Systems University of Ulm, D-89069 Ulm, Germany Email: {reichert,

More information

Inverse Trig Functions

Inverse Trig Functions Inverse Trig Functions c A Math Support Center Capsule February, 009 Introuction Just as trig functions arise in many applications, so o the inverse trig functions. What may be most surprising is that

More information

Cross-Over Analysis Using T-Tests

Cross-Over Analysis Using T-Tests Chapter 35 Cross-Over Analysis Using -ests Introuction his proceure analyzes ata from a two-treatment, two-perio (x) cross-over esign. he response is assume to be a continuous ranom variable that follows

More information