Global reconstruction of analytic functions from local expansions ...

Global reconstruction of analytic functions from local expansions ...

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Description

  • expression écrite
Global reconstruction of analytic functions from local expansions and a new general method of converting sums into integrals O. Costin 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210 e-mail: ; Abstract. A new summation method is introduced to convert a rel- atively wide family of Taylor series and infinite sums into integrals.
  • wide family of taylor series
  • taylor coefficients
  • borel sum
  • series with finite radius of convergence
  • analyzable functions
  • kam resonant expansions
  • view of the closure of analyzable functions to a wide class of operations
  • borel
  • series

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THESOFTWAREORDOCUMENTATION.Contents
General Preface
AboutThisPeopleBook......................................................................................ix
PeopleSoft Enterprise Application Prerequisites....................................................................ix
ApplicationFundamentals.....................................................................................ix
Documentation Updatesand Printed Documentation...............................................................x
Obtaining Documentation Updates.................................................................................x
Downloading and Ordering Printed Documentation..............................................................x
Additional Resources...................................................................................................xi
TypographicalConventionsand Visual Cues...............................................................xii
TypographicalConventions........................................................................................xii
VisualCues..........................................................................................................xiii
Country, Region, and Industry Identifiers................................................................xiii
Currency Codes.....................................................................................................xiv
Comments and Suggestions..................................................................................xiv
Common ElementsUsed in PeopleBooks..........................................................................xiv
Preface
PeopleSoftUpgradeAssistantPreface.................................................................xvii
PeopleSoft Upgrade Assistant.......................................................................................xvii
Chapter 1
UsingPeopleSoftUpgradeAssistant......................................................................1
Understanding PeopleSoft Upgrade Assistant.............................................................1
TheUpgradeTemplateView........................................................................................1
TheJobStatusView.......................................................................................1
CommonElementsinthisBook........................................................................................1
Chapter 2
InstallingPeopleSoftUpgradeAssistant..................................................................5
InstallingPeopleSoftUpgradeAssistant....................................................................5
AccessingPeopleSoftUpgradeAssistant.........................................................................5
UninstallingPeopleSoft Upgrade Assistant.............................................................5
Copyright © 1988-2007, Oracle. All rights reserved. vContents
Chapter 3
UsingtheUpgradeTemplate.................................................................................7
gtheUpgradeTemplate.......................................................................Understandin7nding Process Types..........................................................................................7
LoadingtheUpgradeTemplate.......................................................................................10
platetotheUpgradeAssistant..........................................................Loading a Tem11
SettingtheDocumentationDirectory.............................................................................12
(Optional) Editing Templates..................................................................................12
omSteps......................................................................................Adding Cust ........12
EditingSteps................................................................................................13
DeletingChapters,Tasks,orSteps..............................................................................13
hapters,Tasks,orSteps....................................................................Renaming C13
(Optional) Creating Templates........................................................................................14
CreatingCustomTemplates...............................................................................14
NewChapters....................................................................................Creating ........14
CreatingNewTasks........................................................................................15
CreatingNewSteps............15
l)MergingTemplates................................................................................(Optiona16
(Optional) Modifying Step Properties................................................................................16
Chapter 4
AddingCustomDocumentation...........................................................................21
tandingUpgradeDocumentation....................................................................Unders ........21
How Chapters, Tasks and Stepsare Tagged inHTML................................................21
AddingCustomDocumentationtotheTemplate...................................................................22
gCustomStepDocumentation....................................................................Addin22
AddingCustomTaskDocumentation............................................................................23
Adding Custom Chapter Documentation................................................................24
gCustomTablesorGraphics......................................................................Addin ........25
ter 5Chap
CreatingandRunningtheUpgradeJob.................................................................27
CreatingaNewJob....................................................................................................27
iguring the Database.....................................................................................Conf29
Entering Source and Target Database Information............................................................29
SpecifyingDirectories......................................................................................30
ecting Products..........................................................................................Sel ........30
Selecting Languages.......................................................................................30
vi Copyright © 1988-2007, Oracle. All rights reserved.Contents
Importing and Exporting Database Configuration..............................................................30
Entering General Settings.................................................................................30
iouslySavedJob.............................................................................Opening a Prev ........31
Running the Job................................................................................................32
Chapter 6
RunningApplicationEngineProcessesontheServer..............................................33
ProcessScheduler andApplication Server...................................................Configuring ........33
ConfiguringthePortal..........................................................................................33
Building the PROCESSREQUEST Component Interface.........................................................33
temVariables..................................................................................Setting Sys34
Editing Component Interface Security...............................................................................35
EditingStepProperties........................................................................................35
Chapter 7
ingandEditingOptions..................................................................Configur ........37
Editing Your Database Configuration........................................................................37
Specifying General and Email Settings..............................................................................37
ing General Settings...............................................................................Specify38
SpecifyingEmailSettings..........................................................................................38
Chapter 8
ResolvingErrorMessages..................................................................................39
ing PeopleToolsUpgradeMessages................................................................Resolv ........39
ResolvingMessagesfromApplicationEngineProcesses................................................40
GlossaryofPeopleSoftEnterpriseTerms................................................................43
Index.............................................................................................................69
Copyright © 1988-2007, Oracle. All rights reserved. viiContents
viii Copyright © 1988-2007, Oracle. All rights reserved.About This PeopleBook
PeopleSoftEnterprisePeopleBooksprovideyouwiththeinformationthatyouneedtoimplementandusePeopleSoft
Enterprise applications from Oracle.
This preface discusses:
• PeopleSoft Enterprise application prerequisites.
• Application fundamentals.
• Documentation updates and printed documentation.
• Additional resources.
• Typographical conventions and visual cues.
• Comments and suggestions.
• Common elements in PeopleBooks.
Note. PeopleBooksdocumentonlyelements,suchasfieldsandcheckboxes,thatrequireadditionalexplanation. Ifan
elementisnotdocumentedwiththeprocessortaskinwhichitisused,theneitheritrequiresnoadditionalexplanation
or it is documented with common elements for the section, chapter, PeopleBook, or product line. Elements that are
common to all PeopleSoft Enterprise applications are defined in this preface.
PeopleSoft Enterprise Application Prerequisites
To benefit fully from the information that is covered in these books, you should have a basic understanding
of how to use PeopleSoft Enterprise applications.
You mightalso want to complete at least oneintroductory training course, if applicable.
You should be familiar with navigating the system and adding, updating, and deleting information by using
PeopleSoftEnterprisemenus,pages,orwindows. YoushouldalsobecomfortableusingtheWorldWideWeb
and the Microsoft Windows or Windows NT graphical user interface.
Thesebooksdonotreviewnavigationandotherbasics. Theypresenttheinformationthatyouneedtousethe
system and implement your PeopleSoft Enterprise applications most effectively.
Application Fundamentals
Each application PeopleBook provides implementation and processing information for your PeopleSoft
Enterprise applications.
Forsomeapplications,additional,essentialinformationdescribingthesetupanddesignofyoursystemappears
inacompanionvolumeofdocumentationcalledtheapplicationfundamentalsPeopleBook. Mostproductlines
have aversion of the application fundamentals PeopleBook. The preface of each PeopleBook identifiesthe
application fundamentals PeopleBooks that are associated with that PeopleBook.
Copyright © 1988-2007, Oracle. All rights reserved. ixGeneral Preface
Theapplication fundamentalsPeopleBook consistsof important topics that apply to many or all PeopleSoft
Enterpriseapplications. Whetheryouareimplementingasingleapplication,somecombinationofapplications
withintheproduct line,ortheentireproductline,youshouldbefamiliarwiththecontentsoftheappropriate
applicationfundamentalsPeopleBooks. Theyprovidethestartingpointsforfundamentalimplementationtasks.
Documentation Updates and Printed Documentation
This section discusses how to:
ntation updates.• Obtain docume
order printed documentation.• Download and
Obtaining Documentation Updates
pdatesandadditionaldocumentation for thisrelease,aswellaspreviousreleases, on Oracle’sYou can find u
ustomer Connection website. Through the Documentation section of Oracle’s PeopleSoftPeopleSoft C
nection, you can download files to add to your PeopleBooks Library. You’ll find a variety ofCustomer Con
melymaterials, including updatesto thefull lineof PeopleSoftEnterprisedocumentation thatisuseful andti
n your PeopleBooks CD-ROM.delivered o
Important! Beforeyouupgrade,youmustcheckOracle’sPeopleSoftCustomerConnectionforupdatestothe
upgradeinstructions. Oracle continuallypostsupdatesasthe upgradeprocessisrefined.
See Also
Oracle’sPeopleSoftCustomerConnection,http://www.oracle.com/support/support_peoplesoft.html
Downloading and Ordering Printed Documentation
In addition to the complete line of documentation that is delivered on your PeopleBook CD-ROM, Oracle
makesPeopleSoftEnterprisedocumentationavailable toyouvia Oracle’swebsite. You can:
• Download PDF files.
• Order printed, bound volumes.
Downloading PDF Files
You can download PDF versions of PeopleSoft Enterprisedocumentation online via theOracle Technology
Network. Oracle makes these PDF files available online for each major release shortly after the software
is shipped.
See OracleTechnologyNetwork,http://www.oracle.com/technology/documentation/psftent.html.
Ordering Printed, Bound Volumes
You can order printed, bound volumesof selected documentation via the OracleStore.
SeeOracleStore,http://oraclestore.oracle.com/OA_HTML/ibeCCtpSctDspRte.jsp?section=14021
x Copyright © 1988-2007, Oracle. All rights reserved.