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Tilde-Arrow-Out (~→O)
Chapter 5: Derivations in Sentential Logic 181 atomic). In the next example, the disjunction is complex (its disjuncts are not atomic). Example 2 (1) (P ´ Q) → (P & Q) Pr (2) •: (P & Q) ∨ (~P & ~Q) ID (3) |~[(P & Q) ∨ (~P & ~Q)] As (4) |•: ¸ DD (5) ||~(P & Q) 3,~∨O (6) ||~(~P & ~Q) 3,~∨O (7) ||~(P ∨ Q) 1,5,→O (8) ||~P 7,~∨O (9) ||~Q 7,~∨O (10) ||~P & ~Q 8,9,&I (11) ||¸ 6,10,¸I The basic strategy is exactly like the previous problem. The only difference is that the formulas are more complex. 13. FURTHER RULES In the previous section, we added the rule ~∨O to our list of inference rules. Although it is not strictly required, it does make a number of derivations much easier. In the present section, for the sake of symmetry, we add corresponding rules for the remaining two-place connectives; specifically, we add ~&O, ~→O, and ~↔O. That way, we have a rule for handling any negated molecular formula. Also, we add one more rule that is sometimes useful, the Rule of Repetition. The additional negation rules are given as follows. Tilde-Ampersand-Out (~&O) ~(d & e) ––––––––– d → ~e Tilde-Arrow-Out (~→O) ~(d → f) –––––––––– d & ~f 182 Hardegree, Symbolic Logic Tilde-Double-Arrow-Out (~±O) ~(d ± e) –––––––––– ~d ± e The reader is urged to verify that these are all valid argument forms of sentential logic. There are other valid forms that could serve equally well as the rules in question. The choice is to a certain arbitrary. The advantage of the particular choice becomes more apparent in a later chapter on predicate logic. -
Function Keys One of the Biggest Differences Between a Typewriter
Function Keys One of the biggest differences between a typewriter keyboard and the computer keyboard is the row of keys at the top of the keyboard that are labeled F1 through F12. Commonly referred to as Function Keys, these keys were frequently used in the good old days of DOS programs. In today’s Windows world of computers, you can probably use your computer without ever using one of these keys. Yet, these function keys provide some interesting shortcuts for common computer functions that can be useful tools in everyday computing . The function keys are frequently used in combination with other keys such as the CTRL key, the ALT key, and the Shift key. This results in a plethora of possible keyboard shortcuts . Here is a brief rundown of the function key and what they can do for you. F1 As a throwback to DOS days, you will find that the F1 key will often bring up a help menu. If you press F1 while working in a program, help for that program will usually appear. If you press F1 while at the Windows desktop or when the Windows Explorer is open, a Windows help screen will pop up . If you happen to be working in a program and would like to see the Windows help screen, simply press the Windows key (the key with the Windows logo on the bottom row of keys) on your keyboard and press F1 at the same time. F2 You can use the F2 key to rename an item when working in Windows. Highlight any folder or file, and press F2. -
Proposal to Add U+2B95 Rightwards Black Arrow to Unicode Emoji
Proposal to add U+2B95 Rightwards Black Arrow to Unicode Emoji J. S. Choi, 2015‐12‐12 Abstract In the Unicode Standard 7.0 from 2014, ⮕ U+2B95 was added with the intent to complete the family of black arrows encoded by ⬅⬆⬇ U+2B05–U+2B07. However, due to historical timing, ⮕ U+2B95 was not yet encoded when the Unicode Emoji were frst encoded in 2009–2010, and thus the family of four emoji black arrows were mapped not only to ⬅⬆⬇ U+2B05–U+2B07 but also to ➡ U+27A1—a compatibility character for ITC Zapf Dingbats—instead of ⮕ U+2B95. It is thus proposed that ⮕ U+2B95 be added to the set of Unicode emoji characters and be given emoji‐ and text‐style standardized variants, in order to match the properties of its siblings ⬅⬆⬇ U+2B05–U+2B07, with which it is explicitly unifed. 1 Introduction Tis document primarily discusses fve encoded characters, already in Unicode as of 2015: ⮕ U+2B95 Rightwards Black Arrow: Te main encoded character being discussed. Located in the Miscellaneous Symbols and Arrows block. ⬅⬆⬇ U+2B05–U+2B07 Leftwards, Upwards, and Downwards Black Arrow: Te three black arrows that ⮕ U+2B95 completes. Also located in the Miscellaneous Symbols and Arrows block. ➡ U+27A1 Black Rightwards Arrow: A compatibility character for ITC Zapf Dingbats. Located in the Dingbats block. Tis document proposes the addition of ⮕ U+2B95 to the set of emoji characters as defned by Unicode Technical Report (UTR) #51: “Unicode Emoji”. In other words, it proposes: 1. A property change: ⮕ U+2B95 should be given the Emoji property defned in UTR #51. -
Introducing Sentential Logic (SL) Part I – Syntax
Introducing Sentential Logic (SL) Part I – Syntax 1. As Aristotle noted long ago, some entailments in natural language seem to hold by dint of their “logical” form. Consider, for instance, the example of Aristotle’s being a logician above, as opposed to the “material” entailment considering the relative locations of Las Vegas and Pittsburgh. Such logical entailment provides the basic motivation for formal logic. So-called “formal” or “symbolic” logic is meant in part to provide a (perhaps idealized) model of this phenomenon. In formal logic, we develop an artificial but highly regimented language, with an eye perhaps of understanding natural language devices as approximating various operations within that formal language. 2. We’ll begin with a formal language that is commonly called either Sentential Logic (SL) or, more high- falutinly, “the propositional calculus.” You’re probably already quite familiar with it from an earlier logic course. SL is composed of Roman capital letters (and subscripted capital letters), various operators (or functors), and left and right parentheses. The standard operators for SL include the tilde (~), the ampersand (&), the wedge (v), and the arrow (→). Other operators, such as the double arrow, the stroke and the dagger, can easily be added as the need arises. The Syntax of S.L 3. A syntax for a language specifies how to construct meaningful expressions within that language. For purely formal languages such as SL, we can understand such expressions as well-formed formulas (wffs). The syntax of SL is recursive. That means that we start with basic (or atomic) wffs, and then specify how to build up more complex wffs from them. -
International Language Environments Guide
International Language Environments Guide Sun Microsystems, Inc. 4150 Network Circle Santa Clara, CA 95054 U.S.A. Part No: 806–6642–10 May, 2002 Copyright 2002 Sun Microsystems, Inc. 4150 Network Circle, Santa Clara, CA 95054 U.S.A. All rights reserved. This product or document is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation. No part of this product or document may be reproduced in any form by any means without prior written authorization of Sun and its licensors, if any. Third-party software, including font technology, is copyrighted and licensed from Sun suppliers. Parts of the product may be derived from Berkeley BSD systems, licensed from the University of California. UNIX is a registered trademark in the U.S. and other countries, exclusively licensed through X/Open Company, Ltd. Sun, Sun Microsystems, the Sun logo, docs.sun.com, AnswerBook, AnswerBook2, Java, XView, ToolTalk, Solstice AdminTools, SunVideo and Solaris are trademarks, registered trademarks, or service marks of Sun Microsystems, Inc. in the U.S. and other countries. All SPARC trademarks are used under license and are trademarks or registered trademarks of SPARC International, Inc. in the U.S. and other countries. Products bearing SPARC trademarks are based upon an architecture developed by Sun Microsystems, Inc. SunOS, Solaris, X11, SPARC, UNIX, PostScript, OpenWindows, AnswerBook, SunExpress, SPARCprinter, JumpStart, Xlib The OPEN LOOK and Sun™ Graphical User Interface was developed by Sun Microsystems, Inc. for its users and licensees. Sun acknowledges the pioneering efforts of Xerox in researching and developing the concept of visual or graphical user interfaces for the computer industry. -
MX2 Instruction Manual
RediStart TM Solid State Starter 2 Control RB2, RC2, RX2E Models User Manual 890034-01-02 August 2008 Software Version: 810023-01-08 Hardware Version: 300055-01-05 © 2008 Benshaw Inc. Benshaw retains the right to change specifications and illustrations in text without prior notification. The contents of this document may not be copied without the explicit permission of Benshaw. Important Reader Notice 2 Congratulations on the purchase of your new Benshaw RediStart MX Solid State Starter. This manual contains the information to install and 2 2 program the MX Solid State Starter. The MX is a standard version solid state starter. If you require additional features, please review the 3 expanded feature set of the MX Solid State Starter on page 5. 2 This manual may not cover all of the applications of the RediStart MX . Also, it may not provide information on every possible contingency 2 concerning installation, programming, operation, or maintenance specific to the RediStart MX Series Starters. The content of this manual will not modify any prior agreement, commitment or relationship between the customer and Benshaw. The sales contract contains the entire obligation of Benshaw. The warranty enclosed within the contract between the parties is the only warranty that Benshaw will recognize and any statements contained herein do not create new warranties or modify the existing warranty in any way. Any electrical or mechanical modifications to Benshaw products without prior written consent of Benshaw will void all warranties and may also void cUL listing or other safety certifications, unauthorized modifications may also result in product damage operation malfunctions or personal injury. -
AFT Fathom 11 Quick Start Guide
AFT Fathom™ Quick Start Guide Metric Units AFT Fathom Version 11 Incompressible Pipe Flow Modeling Dynamic solutions for a fluid world ™ CAUTION! AFT Fathom is a sophisticated pipe flow analysis program designed for qualified engineers with experience in pipe flow analysis and should not be used by untrained individuals. AFT Fathom is intended solely as an aide for pipe flow analysis engineers and not as a replacement for other design and analysis methods, including hand calculations and sound engineering judgment. All data generated by AFT Fathom should be independently verified with other engineering methods. AFT Fathom is designed to be used only by persons who possess a level of knowledge consistent with that obtained in an undergraduate engineering course in the analysis of pipe system fluid mechanics and are familiar with standard industry practice in pipe flow analysis. AFT Fathom is intended to be used only within the boundaries of its engineering assumptions. The user should consult the AFT Fathom Help System for a discussion of all engineering assumptions made by AFT Fathom. Information in this document is subject to change without notice. No part of this Quick Start Guide may be reproduced or transmitted in any form or by any means, electronic or mechanical, for any purpose, without the express written permission of Applied Flow Technology. © 2020 Applied Flow Technology Corporation. All rights reserved. Printed in the United States of America. First Printing. “AFT Fathom”, “Applied Flow Technology”, “Dynamic solutions for a fluid world”, and the AFT logo are trademarks of Applied Flow Technology Corporation. Excel and Windows are trademarks of Microsoft Corporation. -
City of Broken Arrow Operator's Traffic
CITY OF BROKEN ARROW OPERATOR'S TRAFFIC COLLISION REPORT FORM INSTRUCTIONS: 1. State law requires that vehicle drivers must immediately stop at the scene, render aid and exchange information when involved in a traffic collision. Drivers must assure that all debris is removed from the roadway before leaving the scene. 2. Obtain driver's license and insurance information from the other driver's License and Security Verification Form. 3. Complete all information on both sides of this report form. Type or print with black ink. 4. Your information should be listed in the Unit 1 section. Information for the other vehicle shall be indicated as Unit 2. 5. Use additional report forms when more than two (2) vehicles are involved. Change unit numbers to 3, 4, etc. 6. Contact your insurance company as soon as possible. 7. Completed report forms should be sent to the Broken Arrow Police Department at the address listed on the bottom of the report form within 24 hours. Make additional copies for your records. Date Day of Time A.M. Did a Police Officer respond Yes Officer's Name the Week P.M. to the Collision? No Street location Was your view blocked by Yes If Yes, Explain: anything at the time of the collision? of Collision No Total Number of Weather Conditions at Approximate cost to Vehicles Involved the time of the Collision repair your vehicle? $ Your Name (Unit 1) Last Name First Middle Name (Unit 2) Last Name First Middle Home Address City State Zip Home Address City State Zip Business Address Business Address Home Phone Business Phone Home Phone -
454 Keystrokes in Silverfast
Keystrokes in SilverFast Action Macintosh Windows Description of keyboard shortcuts and their respective counterparts Command . Command-/Apple-Key . – Alt . Opion-/Alt-Key . Alt-Key Shift . Shift-Key . Shift-Key Ctrl . Control-/Ctrl-Key . Control-/Ctrl-Key Return . Return-/Enter-Key . Return-/Enter-Key Esc . Escape-/Esc-Key . Escape-/Esc-Key ScanPilot / ImagePilot Apply / Execute current tool . Return . Return Scroll / Next action . Up and Down arrow . Up and Down arrow Prescan, scan / Preview, process Stop prescan / stop scan . Command+Period . Strg+Period Switch to other colour space . Ctrl+Click on . Right mouse button+Click on Scan-/Process-button . Scan-/Process-button Zoom Ctrl+Click&Drag . Ctrl+Click&Drag Image frames Duplicate frame . Alt+Click&Drag . Alt+Click&Drag Entire Window in one frame . Command+A . Ctrl+A Delete frame (extended keyboard) . Delete . Delete Delete frame (normal keyboard) . Alt+Backspace . Delete Frame reset . Reset-button . Reset-button Copy settings of one frame . Alt+Click on active frame, . Alt+Click into inactive into an other frame click then into target frame . target frame 454 7.3 • Addendum SilverFast® Manual Action Macintosh Windows Auto-adjust Resetting auto-adjust . Alt+click on . Alt+Click on Auto-adjust button . Auto-adjust button Highlight / shadow / midtone tool (HSM-tool) Set highlight . Click on white triangle of HSM-tool Set midtone . Click on pipette of HSM-tool Set shadow . Click on black triangle of HSM-tool Multiple attempts with pipette Hold down pipette for multiple . hold down Alt . hold down Alt attempts (only highlight, shadow) Reset highlight / shadow . Alt+Pippette of HSM-tool Display brightest point . Click on white square . -
2021 Cadillac XT4 Owner's Manual
21_CAD_XT4_COV_en_US_84533014B_2020OCT27.pdf 1 9/25/2020 1:45:28 PM C M Y CM MY CY CMY K 84533014 B Cadillac XT4 Owner Manual (GMNA-Localizing-U.S./Canada/Mexico- 14584367) - 2021 - CRC - 10/14/20 Introduction model variants, country specifications, Contents features/applications that may not be available in your region, or changes Introduction . 1 subsequent to the printing of this owner’s manual. Keys, Doors, and Windows . 6 Refer to the purchase documentation Seats and Restraints . 36 relating to your specific vehicle to Storage . 84 confirm the features. Instruments and Controls . 90 The names, logos, emblems, slogans, Keep this manual in the vehicle for vehicle model names, and vehicle quick reference. Lighting . 129 body designs appearing in this manual Infotainment System . 136 including, but not limited to, GM, the Canadian Vehicle Owners GM logo, CADILLAC, the CADILLAC Climate Controls . 197 A French language manual can be Emblem, and XT4 are trademarks and/ obtained from your dealer, at Driving and Operating . 203 or service marks of General Motors www.helminc.com, or from: LLC, its subsidiaries, affiliates, Vehicle Care . 281 or licensors. Propriétaires Canadiens Service and Maintenance . 357 For vehicles first sold in Canada, On peut obtenir un exemplaire de ce Technical Data . 370 substitute the name “General Motors guide en français auprès du ” Customer Information . 374 of Canada Company for Cadillac concessionnaire ou à l'adresse Motor Car Division wherever it suivante: Reporting Safety Defects . 384 appears in this manual. Helm, Incorporated OnStar . 387 This manual describes features that Attention: Customer Service Connected Services . 392 may or may not be on the vehicle 47911 Halyard Drive because of optional equipment that Plymouth, MI 48170 Index . -
Keyboard Practice Instructions
Keyboard Practice in WordPad 1. Notice the blinking cursor (insertion point) on the screen. This indicates where your typing will go. 2. Type your first name. Press and release the Enter key. Notice that you are now on a new line and your name does not start with a capital letter. 3. Locate the Shift key on your keyboard and hold it down. While holding the Shift key, type the first letter of your name. Release the Shift key and continue typing your name. Press and release the Enter key. 4. Press and release the key. Notice what types. Answer: The number 2 types. 5. Press and release the space bar. Notice what happens. Answer: There is a space after the 2. 6. Now hold down the Shift key and press the again. Notice the difference. Answer: The symbol at the top of the “2” key prints. Press and release the Enter key. 7. Locate the Caps Lock key and press and release it. Notice the white Caps Lock light is on over on the top right of the keyboard. This means all letters typed will be capital letters. Type your first name. Press and release the Caps Lock key again to get out of all-caps mode. 8. Since you have not pressed the Enter key, notice that the insertion point is to the right of the last letter typed. Locate the cluster of arrow keys on the keyboard. These arrow keys allow you to move the insertion point without erasing or disturbing anything already typed. Press and release the left arrow and notice the movement of the cursor. -
Use the Keyboard with the Ipad (PDF)
Computers for Beginners 2: Use the Keyboard Mar 2020 YG/ DC Learning Outcomes In this class you will: 1. Familiarize yourself with alphabet keys, number keys and symbol keys. 2. Practice typing using an iPad App. 3. Review where to get more typing practice. 2 What is a Keyboard? The keyboard is a piece of equipment used to communicate with a computer. It allows you to enter data into a computer. iPads come with a “virtual keyboard” which appears whenever you open an app which requires typing. Tap once on suggested words to autofill To use numbers and To hide the symbols tap here keyboard tap here To return to the letter keyboard tap here 3 Exercise 1: Tour the keyboard Typing Touch typing is the ability to use muscle memory to find keys quickly using all fingers. Touch typing is an acquired skill that takes practice. Touch typing is not the goal of this class. For now, don’t worry if you use only a few fingers. You will get more comfortable with practice. Accuracy, not speed, is the goal. In North America we call this a QWERTY keyboard. Can anyone tell me why? This diagram depicts the “classic” layout of the keys in rows. Most practice lessons use the terms: Home Row, Top Row, Bottom Row. Backspace Key Top Row Home Row Bottom Row Spacebar Shift Keys 4 In addition to the letter keys, you will use the Spacebar to create spaces between words. Use the Return Key (or Enter Key) to move your cursor (a vertical line which indicates where you can type) to the next line and begin typing a new sentence.