Writing Mathematical Expressions in Plain Text – Examples and Cautions Copyright © 2009 Sally J
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Customizing and Extending Powerdesigner SAP Powerdesigner Documentation Collection Content
User Guide PUBLIC SAP PowerDesigner Document Version: 16.6.2 – 2017-01-05 Customizing and Extending PowerDesigner SAP PowerDesigner Documentation Collection Content 1 PowerDesigner Resource Files.................................................... 9 1.1 Opening Resource Files in the Editor.................................................10 1.2 Navigating and Searching in Resource Files............................................ 11 1.3 Editing Resource Files........................................................... 13 1.4 Saving Changes................................................................13 1.5 Sharing and Embedding Resource Files...............................................13 1.6 Creating and Copying Resource Files.................................................14 1.7 Specifying Directories to Search for Resource Files.......................................15 1.8 Comparing Resource Files........................................................ 15 1.9 Merging Resource Files.......................................................... 16 2 Extension Files................................................................18 2.1 Creating an Extension File.........................................................19 2.2 Attaching Extensions to a Model....................................................20 2.3 Exporting an Embedded Extension File for Sharing.......................................21 2.4 Extension File Properties......................................................... 21 2.5 Example: Adding a New Attribute from a Property -
IPBES Workshop on Biodiversity and Pandemics Report
IPBES Workshop on Biodiversity and Pandemics WORKSHOP REPORT *** Strictly Confidential and Embargoed until 3 p.m. CET on 29 October 2020 *** Please note: This workshop report is provided to you on condition of strictest confidentiality. It must not be shared, cited, referenced, summarized, published or commented on, in whole or in part, until the embargo is lifted at 3 p.m. CET/2 p.m. GMT/10 a.m. EDT on Thursday, 29 October 2020 This workshop report is released in a non-laid out format. It will undergo minor editing before being released in a laid-out format. Intergovernmental Platform on Biodiversity and Ecosystem Services 1 The IPBES Bureau and Multidisciplinary Expert Panel (MEP) authorized a workshop on biodiversity and pandemics that was held virtually on 27-31 July 2020 in accordance with the provisions on “Platform workshops” in support of Plenary- approved activities, set out in section 6.1 of the procedures for the preparation of Platform deliverables (IPBES-3/3, annex I). This workshop report and any recommendations or conclusions contained therein have not been reviewed, endorsed or approved by the IPBES Plenary. The workshop report is considered supporting material available to authors in the preparation of ongoing or future IPBES assessments. While undergoing a scientific peer-review, this material has not been subjected to formal IPBES review processes. 2 Contents 4 Preamble 5 Executive Summary 12 Sections 1 to 5 14 Section 1: The relationship between people and biodiversity underpins disease emergence and provides opportunities -
Edit Bibliographic Records
OCLC Connexion Browser Guides Edit Bibliographic Records Last updated: May 2014 6565 Kilgour Place, Dublin, OH 43017-3395 www.oclc.org Revision History Date Section title Description of changes May 2014 All Updated information on how to open the diacritic window. The shortcut key is no longer available. May 2006 1. Edit record: basics Minor updates. 5. Insert diacritics Revised to update list of bar syntax character codes to reflect and special changes in character names and to add newly supported characters characters. November 2006 1. Edit record: basics Minor updates. 2. Editing Added information on guided editing for fields 541 and 583, techniques, template commonly used when cataloging archival materials. view December 2006 1. Edit record: basics Updated to add information about display of WorldCat records that contain non-Latin scripts.. May 2007 4. Validate record Revised to document change in default validation level from None to Structure. February 2012 2 Editing techniques, Series added entry fields 800, 810, 811, 830 can now be used to template view insert data from a “cited” record for a related series item. Removed “and DDC” from Control All commands. DDC numbers are no longer controlled in Connexion. April 2012 2. Editing New section on how to use the prototype OCLC Classify service. techniques, template view September 2012 All Removed all references to Pathfinder. February 2013 All Removed all references to Heritage Printed Book. April 2013 All Removed all references to Chinese Name Authority © 2014 OCLC Online Computer Library Center, Inc. 6565 Kilgour Place Dublin, OH 43017-3395 USA The following OCLC product, service and business names are trademarks or service marks of OCLC, Inc.: CatExpress, Connexion, DDC, Dewey, Dewey Decimal Classification, OCLC, WorldCat, WorldCat Resource Sharing and “The world’s libraries. -
Topic 7 Notes 7 Taylor and Laurent Series
Topic 7 Notes Jeremy Orloff 7 Taylor and Laurent series 7.1 Introduction We originally defined an analytic function as one where the derivative, defined as a limit of ratios, existed. We went on to prove Cauchy's theorem and Cauchy's integral formula. These revealed some deep properties of analytic functions, e.g. the existence of derivatives of all orders. Our goal in this topic is to express analytic functions as infinite power series. This will lead us to Taylor series. When a complex function has an isolated singularity at a point we will replace Taylor series by Laurent series. Not surprisingly we will derive these series from Cauchy's integral formula. Although we come to power series representations after exploring other properties of analytic functions, they will be one of our main tools in understanding and computing with analytic functions. 7.2 Geometric series Having a detailed understanding of geometric series will enable us to use Cauchy's integral formula to understand power series representations of analytic functions. We start with the definition: Definition. A finite geometric series has one of the following (all equivalent) forms. 2 3 n Sn = a(1 + r + r + r + ::: + r ) = a + ar + ar2 + ar3 + ::: + arn n X = arj j=0 n X = a rj j=0 The number r is called the ratio of the geometric series because it is the ratio of consecutive terms of the series. Theorem. The sum of a finite geometric series is given by a(1 − rn+1) S = a(1 + r + r2 + r3 + ::: + rn) = : (1) n 1 − r Proof. -
Dictation Presentation.Pptx
Dictaon using Apple Devices Presentaon October 10, 2013 Trudy Downs Operang Systems • iOS6 • iOS7 • Mountain Lion (OS X10.8) Devices • iPad 3 or iPad mini • iPod 4 • iPhone 4s, 5 or 5c or 5s • Desktop running Mountain Lion • Laptop running Mountain Lion Dictaon Shortcut Words • Shortcut WordsDictaon includes many voice “shortcuts” that allows you to manipulate the text and insert symbols while you are speaking. Here’s a list of those shortcuts that you can use: - “new line” is like pressing Return on your keyboard - “new paragraph” creates a new paragraph - “cap” capitalizes the next spoken word - “caps on/off” capitalizes the spoken sec&on of text - “all caps” makes the next spoken word all caps - “all caps on/off” makes the spoken sec&on of text all caps - “no caps” makes the next spoken word lower case - “no caps on/off” makes the spoken sec&on of text lower case - “space bar” prevents a hyphen from appearing in a normally hyphenated word - “no space” prevents a space between words - “no space on/off” to prevent a sec&on of text from having spaces between words More Dictaon Shortcuts • - “period” or “full stop” places a period at the end of a sentence - “dot” places a period anywhere, including between words - “point” places a point between numbers, not between words - “ellipsis” or “dot dot dot” places an ellipsis in your wri&ng - “comma” places a comma - “double comma” places a double comma (,,) - “quote” or “quotaon mark” places a quote mark (“) - “quote ... end quote” places quotaon marks around the text spoken between - “apostrophe” -
Appendix a Short Course in Taylor Series
Appendix A Short Course in Taylor Series The Taylor series is mainly used for approximating functions when one can identify a small parameter. Expansion techniques are useful for many applications in physics, sometimes in unexpected ways. A.1 Taylor Series Expansions and Approximations In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. It is named after the English mathematician Brook Taylor. If the series is centered at zero, the series is also called a Maclaurin series, named after the Scottish mathematician Colin Maclaurin. It is common practice to use a finite number of terms of the series to approximate a function. The Taylor series may be regarded as the limit of the Taylor polynomials. A.2 Definition A Taylor series is a series expansion of a function about a point. A one-dimensional Taylor series is an expansion of a real function f(x) about a point x ¼ a is given by; f 00ðÞa f 3ðÞa fxðÞ¼faðÞþf 0ðÞa ðÞþx À a ðÞx À a 2 þ ðÞx À a 3 þÁÁÁ 2! 3! f ðÞn ðÞa þ ðÞx À a n þÁÁÁ ðA:1Þ n! © Springer International Publishing Switzerland 2016 415 B. Zohuri, Directed Energy Weapons, DOI 10.1007/978-3-319-31289-7 416 Appendix A: Short Course in Taylor Series If a ¼ 0, the expansion is known as a Maclaurin Series. Equation A.1 can be written in the more compact sigma notation as follows: X1 f ðÞn ðÞa ðÞx À a n ðA:2Þ n! n¼0 where n ! is mathematical notation for factorial n and f(n)(a) denotes the n th derivation of function f evaluated at the point a. -
How Many Bits Are in a Byte in Computer Terms
How Many Bits Are In A Byte In Computer Terms Periosteal and aluminum Dario memorizes her pigeonhole collieshangie count and nagging seductively. measurably.Auriculated and Pyromaniacal ferrous Gunter Jessie addict intersperse her glockenspiels nutritiously. glimpse rough-dries and outreddens Featured or two nibbles, gigabytes and videos, are the terms bits are in many byte computer, browse to gain comfort with a kilobyte est une unité de armazenamento de armazenamento de almacenamiento de dados digitais. Large denominations of computer memory are composed of bits, Terabyte, then a larger amount of nightmare can be accessed using an address of had given size at sensible cost of added complexity to access individual characters. The binary arithmetic with two sets render everything into one digit, in many bits are a byte computer, not used in detail. Supercomputers are its back and are in foreign languages are brainwashed into plain text. Understanding the Difference Between Bits and Bytes Lifewire. RAM, any sixteen distinct values can be represented with a nibble, I already love a Papst fan since my hybrid head amp. So in ham of transmitting or storing bits and bytes it takes times as much. Bytes and bits are the starting point hospital the computer world Find arrogant about the Base-2 and bit bytes the ASCII character set byte prefixes and binary math. Its size can vary depending on spark machine itself the computing language In most contexts a byte is futile to bits or 1 octet In 1956 this leaf was named by. Pages Bytes and Other Units of Measure Robelle. This function is used in conversion forms where we are one series two inputs. -
Automatically Adapting Programs for Mixed-Precision Floating-Point Computation
Automatically Adapting Programs for Mixed-Precision Floating-Point Computation Michael O. Lam and Bronis R. de Supinski and Jeffrey K. Hollingsworth Matthew P. LeGendre Dept. of Computer Science Center for Applied Scientific Computing University of Maryland Lawrence Livermore National Laboratory College Park, MD, USA Livermore, CA, USA [email protected], [email protected] [email protected], [email protected] ABSTRACT IEEE standard provides for different levels of precision by As scientific computation continues to scale, efficient use of varying the field width, with the most common widths being floating-point arithmetic processors is critical. Lower preci- 32 bits (\single" precision) and 64 bits (\double" precision). sion allows streaming architectures to perform more opera- Figure 1 graphically represents these formats. tions per second and can reduce memory bandwidth pressure Double-precision arithmetic generally results in more ac- on all architectures. However, using a precision that is too curate computations, but with several costs. The main cost low for a given algorithm and data set leads to inaccurate re- is the higher memory bandwidth and storage requirement, sults. In this paper, we present a framework that uses binary which are twice that of single precision. Another cost is instrumentation and modification to build mixed-precision the reduced opportunity for parallelization, such as on the configurations of existing binaries that were originally devel- x86 architecture, where packed 128-bit XMM registers can oped to use only double-precision. This framework allows only hold and operate on two double-precision numbers si- developers to explore mixed-precision configurations with- multaneously compared to four numbers with single preci- out modifying their source code, and it enables automatic sion. -
How to Write Mathematical Papers
HOW TO WRITE MATHEMATICAL PAPERS BRUCE C. BERNDT 1. THE TITLE The title of your paper should be informative. A title such as “On a conjecture of Daisy Dud” conveys no information, unless the reader knows Daisy Dud and she has made only one conjecture in her lifetime. Generally, titles should have no more than ten words, although, admittedly, I have not followed this advice on several occasions. 2. THE INTRODUCTION The Introduction is the most important part of your paper. Although some mathematicians advise that the Introduction be written last, I advocate that the Introduction be written first. I find that writing the Introduction first helps me to organize my thoughts. However, I return to the Introduction many times while writing the paper, and after I finish the paper, I will read and revise the Introduction several times. Get to the purpose of your paper as soon as possible. Don’t begin with a pile of notation. Even at the risk of being less technical, inform readers of the purpose of your paper as soon as you can. Readers want to know as soon as possible if they are interested in reading your paper or not. If you don’t immediately bring readers to the objective of your paper, you will lose readers who might be interested in your work but, being pressed for time, will move on to other papers or matters because they do not want to read further in your paper. To state your main results precisely, considerable notation and terminology may need to be introduced. -
Programming Curriculum
PARC VLP PROGRAMMING CURRICULUM WWW.PARCROBOTICS.ORG Overview Study of programming languages, paradigms and data structures. Chapter 1: Programming Basics Sections A. What is programming? B. What is a programming language? C. Writing source code D. Running your code E. Using IDE Chapter 2: Programming Syntax Sections A. Why Python?A. Why Python? B. Basic statementsB. Basic statements and expressions and expressions C. Troubleshooting issues C. Troubleshooting issues Chapter 3: Variables and Data Types Sections A. IntroductionA. to Introductionvariables and to data variables types and data types B. WorkingB.W withorking variables with variables across Languages across Languages C. Working with numbers C. Working with numbers D. Working with strings E. WorkingD. with commentsWorking with strings E. Working with comments Chapter 4: Conditional Code Sections: A. Making decisions in code B. Exploring conditional code C. Working with simple conditions D. Conditionals across languages PAN-AFRICAN ROBOTICS COMPETITION 1 Chapter 1 SECTION A What is programming? Programming is the process of converting ideas into instructions that a computer can understand and execute. These instructions are specific and sequential. You can think of it as a recipe. Let's you want to prepare your favorite food; you would need first a list of ingredients and then a set of instructions as to which ingredients go in first. If you have ever cooked before or watched someone cook before you will know that the amount of each ingredient can dramatically affect the outcome. Computers are very literal. They try to execute our commands exactly. When we give them bad instructions, we might introduce bugs or even make the computer crash. -
9.4 Arithmetic Series Notes
9.4 Arithmetic Series Notes PreAP Algebra 2 9.4 Arithmetic Series *Objective: Define arithmetic series and find their sums When you know two terms and the number of terms in a finite arithmetic sequence, you can find the sum of the terms. A series is the indicated sum of the terms of a sequence. A finite series has a first terms and a last term. An infinite series continues without end. Finite Sequence Finite Series 6, 9, 12, 15, 18 6 + 9 + 12 + 15 + 18 = 60 Infinite Sequence Infinite Series 3, 7, 11, 15, ... 3 + 7 + 11 + 15 + ... An arithmetic series is a series whose terms form an arithmetic sequence. When a series has a finite number of terms, you can use a formula involving the first and last term to evaluate the sum. The sum Sn of a finite arithmetic series a1 + a2 + a3 + ... + an is n Sn = /2 (a1 + an) a1 : is the first term an : is the last term (nth term) n : is the number of terms in the series Finding the Sum of a finite arithmetic series Ex1) a. What is the sum of the even integers from 2 to 100 b. what is the sum of the finite arithmetic series: 4 + 9 + 14 + 19 + 24 + ... + 99 c. What is the sum of the finite arithmetic series: 14 + 17 + 20 + 23 + ... + 116? Using the sum of a finite arithmetic series Ex2) A company pays $10,000 bonus to salespeople at the end of their first 50 weeks if they make 10 sales in their first week, and then improve their sales numbers by two each week thereafter. -
The Recent Trademarking of Pi: a Troubling Precedent
The recent trademarking of Pi: a troubling precedent Jonathan M. Borwein∗ David H. Baileyy July 15, 2014 1 Background Intellectual property law is complex and varies from jurisdiction to jurisdiction, but, roughly speaking, creative works can be copyrighted, while inventions and processes can be patented, and brand names thence protected. In each case the intention is to protect the value of the owner's work or possession. For the most part mathematics is excluded by the Berne convention [1] of the World Intellectual Property Organization WIPO [12]. An unusual exception was the successful patenting of Gray codes in 1953 [3]. More usual was the carefully timed Pi Day 2012 dismissal [6] by a US judge of a copyright infringement suit regarding π, since \Pi is a non-copyrightable fact." We mathematicians have largely ignored patents and, to the degree we care at all, have been more concerned about copyright as described in the work of the International Mathematical Union's Committee on Electronic Information and Communication (CEIC) [2].1 But, as the following story indicates, it may now be time for mathematicians to start paying attention to patenting. 2 Pi period (π:) In January 2014, the U.S. Patent and Trademark Office granted Brooklyn artist Paul Ingrisano a trademark on his design \consisting of the Greek letter Pi, followed by a period." It should be noted here that there is nothing stylistic or in any way particular in Ingrisano's trademark | it is simply a standard Greek π letter, followed by a period. That's it | π period. No one doubts the enormous value of Apple's partly-eaten apple or the MacDonald's arch.