Relational Algebra and SQL Query Visualisation
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Operations Per Se, to See If the Proposed Chi Is Indeed Fruitful
DOCUMENT RESUME ED 204 124 SE 035 176 AUTHOR Weaver, J. F. TTTLE "Addition," "Subtraction" and Mathematical Operations. 7NSTITOTION. Wisconsin Univ., Madison. Research and Development Center for Individualized Schooling. SPONS AGENCY Neional Inst. 1pf Education (ED), Washington. D.C. REPORT NO WIOCIS-PP-79-7 PUB DATE Nov 79 GRANT OS-NIE-G-91-0009 NOTE 98p.: Report from the Mathematics Work Group. Paper prepared for the'Seminar on the Initial Learning of Addition and' Subtraction. Skills (Racine, WI, November 26-29, 1979). Contains occasional light and broken type. Not available in hard copy due to copyright restrictions.. EDPS PRICE MF01 Plum Postage. PC Not Available from EDRS. DEseR.TPT00S *Addition: Behavioral Obiectives: Cognitive Oblectives: Cognitive Processes: *Elementary School Mathematics: Elementary Secondary Education: Learning Theories: Mathematical Concepts: Mathematics Curriculum: *Mathematics Education: *Mathematics Instruction: Number Concepts: *Subtraction: Teaching Methods IDENTIFIERS *Mathematics Education ResearCh: *Number 4 Operations ABSTRACT This-report opens by asking how operations in general, and addition and subtraction in particular, ante characterized for 'elementary school students, and examines the "standard" Instruction of these topics through secondary. schooling. Some common errors and/or "sloppiness" in the typical textbook presentations are noted, and suggestions are made that these probleks could lend to pupil difficulties in understanding mathematics. The ambiguity of interpretation .of number sentences of the VW's "a+b=c". and "a-b=c" leads into a comparison of the familiar use of binary operations with a unary-operator interpretation of such sentences. The second half of this document focuses on points of vier that promote .varying approaches to the development of mathematical skills and abilities within young children. -
Hyperoperations and Nopt Structures
Hyperoperations and Nopt Structures Alister Wilson Abstract (Beta version) The concept of formal power towers by analogy to formal power series is introduced. Bracketing patterns for combining hyperoperations are pictured. Nopt structures are introduced by reference to Nept structures. Briefly speaking, Nept structures are a notation that help picturing the seed(m)-Ackermann number sequence by reference to exponential function and multitudinous nestings thereof. A systematic structure is observed and described. Keywords: Large numbers, formal power towers, Nopt structures. 1 Contents i Acknowledgements 3 ii List of Figures and Tables 3 I Introduction 4 II Philosophical Considerations 5 III Bracketing patterns and hyperoperations 8 3.1 Some Examples 8 3.2 Top-down versus bottom-up 9 3.3 Bracketing patterns and binary operations 10 3.4 Bracketing patterns with exponentiation and tetration 12 3.5 Bracketing and 4 consecutive hyperoperations 15 3.6 A quick look at the start of the Grzegorczyk hierarchy 17 3.7 Reconsidering top-down and bottom-up 18 IV Nopt Structures 20 4.1 Introduction to Nept and Nopt structures 20 4.2 Defining Nopts from Nepts 21 4.3 Seed Values: “n” and “theta ) n” 24 4.4 A method for generating Nopt structures 25 4.5 Magnitude inequalities inside Nopt structures 32 V Applying Nopt Structures 33 5.1 The gi-sequence and g-subscript towers 33 5.2 Nopt structures and Conway chained arrows 35 VI Glossary 39 VII Further Reading and Weblinks 42 2 i Acknowledgements I’d like to express my gratitude to Wikipedia for supplying an enormous range of high quality mathematics articles. -
SQL from Wikipedia, the Free Encyclopedia Jump To: Navigation
SQL From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about the database language. For the airport with IATA code SQL, see San Carlos Airport. SQL Paradigm Multi-paradigm Appeared in 1974 Designed by Donald D. Chamberlin Raymond F. Boyce Developer IBM Stable release SQL:2008 (2008) Typing discipline Static, strong Major implementations Many Dialects SQL-86, SQL-89, SQL-92, SQL:1999, SQL:2003, SQL:2008 Influenced by Datalog Influenced Agena, CQL, LINQ, Windows PowerShell OS Cross-platform SQL (officially pronounced /ˌɛskjuːˈɛl/ like "S-Q-L" but is often pronounced / ˈsiːkwəl/ like "Sequel"),[1] often referred to as Structured Query Language,[2] [3] is a database computer language designed for managing data in relational database management systems (RDBMS), and originally based upon relational algebra. Its scope includes data insert, query, update and delete, schema creation and modification, and data access control. SQL was one of the first languages for Edgar F. Codd's relational model in his influential 1970 paper, "A Relational Model of Data for Large Shared Data Banks"[4] and became the most widely used language for relational databases.[2][5] Contents [hide] * 1 History * 2 Language elements o 2.1 Queries + 2.1.1 Null and three-valued logic (3VL) o 2.2 Data manipulation o 2.3 Transaction controls o 2.4 Data definition o 2.5 Data types + 2.5.1 Character strings + 2.5.2 Bit strings + 2.5.3 Numbers + 2.5.4 Date and time o 2.6 Data control o 2.7 Procedural extensions * 3 Criticisms of SQL o 3.1 Cross-vendor portability * 4 Standardization o 4.1 Standard structure * 5 Alternatives to SQL * 6 See also * 7 References * 8 External links [edit] History SQL was developed at IBM by Donald D. -
DATABASE and KNOWLEDGE-BASE SYSTEMS VOLUME I: CLASSICAL DATABASE SYSTEMS Jeffrey D
PRINCIPLES OF DATABASE AND KNOWLEDGE-BASE SYSTEMS VOLUME I: CLASSICAL DATABASE SYSTEMS Jeffrey D. Ullman STANFORD UNIVERSITY COMPUTER SCIENCE PRESS TABLE OF CONTENTS Chapter 1: Databases, Object Bases, and Knowledge Bases 1.1: The Capabilities of a DBMS 2 1.2: Basic Database System Terminology 7 1.3: Database Languages 12 1.4: Modern Database System Applications 18 1.5: Object-base Systems 21 1.6: Knowledge-base Systems 23 1.7: History and Perspective 28 Bibliographie Notes 29 Chapter 2: Data Models for Database Systems 32 2.1: Data Models 32 2.2: The Entity-relationship Model 34 2.3: The Relational Data Model 43 2.4: Operations in the Relational Data Model 53 2.5: The Network Data Model 65 2.6: The Hierarchical Data Model 72 2.7: An Object-Oriented Model 82 Exercises 87 Bibliographie Notes 94 Chapter 3: Logic as a Data Model 96 3.1: The Meaning of Logical Rules 96 3.2: The Datalog Data Model 100 3.3: Evaluating Nonrecursive Rules 106 3.4: Computing the Meaning of Recursive Rules 115 3.5: Incremental Evaluation of Least Fixed Points 124 3.6: Negations in Rule Bodies 128 3.7: Relational Algebra and Logic 139 3.8: Relational Calculus 145 3.9: Tuple Relational Calculus 156 3.10: The Closed World Assumption 161 Exercises 164 Bibliographie Notes 171 VIII TABLE OF CONTENTS Chapter 4: Relational Query Languages 174 4.1: General Remarks Regarding Query Languages 174 4.2: ISBL: A "Pure" Relational Algebra Language 177 4.3: QUEL: A Tuple Relational Calculus Language 185 4.4: Query-by-Example: A DRC Language 195 4.5: Data Definition in QBE 207 4.6: -
Datalog Educational System V4.2 User's Manual
Universidad Complutense de Madrid Datalog Educational System Datalog Educational System V4.2 User’s Manual Fernando Sáenz-Pérez Grupo de Programación Declarativa (GPD) Departamento de Ingeniería del Software e Inteligencia Artificial (DISIA) Universidad Complutense de Madrid (UCM) September, 25th, 2016 Fernando Sáenz-Pérez 1/341 Universidad Complutense de Madrid Datalog Educational System Copyright (C) 2004-2016 Fernando Sáenz-Pérez Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in Appendix A, in the section entitled " Documentation License ". Fernando Sáenz-Pérez 2/341 Universidad Complutense de Madrid Datalog Educational System Contents 1. Introduction........................................................................................................................... 9 1.1 Novel Extensions in DES ......................................................................................... 10 1.2 Highlights for the Current Version ........................................................................ 11 1.3 Features of DES in Short .......................................................................................... 11 1.4 Future Enhancements............................................................................................... 14 1.5 Related Work............................................................................................................ -
'Doing and Undoing' Applied to the Action of Exchange Reveals
mathematics Article How the Theme of ‘Doing and Undoing’ Applied to the Action of Exchange Reveals Overlooked Core Ideas in School Mathematics John Mason 1,2 1 Department of Mathematics and Statistics, Open University, Milton Keynes MK7 6AA, UK; [email protected] 2 Department of Education, University of Oxford, 15 Norham Gardens, Oxford OX2 6PY, UK Abstract: The theme of ‘undoing a doing’ is applied to the ubiquitous action of exchange, showing how exchange pervades a school’s mathematics curriculum. It is possible that many obstacles encountered in school mathematics arise from an impoverished sense of exchange, for learners and possibly for teachers. The approach is phenomenological, in that the reader is urged to undertake the tasks themselves, so that the pedagogical and mathematical comments, and elaborations, may connect directly to immediate experience. Keywords: doing and undoing; exchange; substitution 1. Introduction Arithmetic is seen here as the study of actions (usually by numbers) on numbers, whereas calculation is an epiphenomenon: useful as a skill, but only to facilitate recognition Citation: Mason, J. How the Theme of relationships between numbers. Particular relationships may, upon articulation and of ‘Doing and Undoing’ Applied to analysis (generalisation), turn out to be properties that hold more generally. This way of the Action of Exchange Reveals thinking sets the scene for the pervasive mathematical theme of inverse, also known as Overlooked Core Ideas in School doing and undoing (Gardiner [1,2]; Mason [3]; SMP [4]). Exploiting this theme brings to Mathematics. Mathematics 2021, 9, the surface core ideas, such as exchange, which, although appearing sporadically in most 1530. -
Bitwise Operators
Logical operations ANDORNOTXORAND,OR,NOT,XOR •Loggpical operations are the o perations that have its result as a true or false. • The logical operations can be: • Unary operations that has only one operand (NOT) • ex. NOT operand • Binary operations that has two operands (AND,OR,XOR) • ex. operand 1 AND operand 2 operand 1 OR operand 2 operand 1 XOR operand 2 1 Dr.AbuArqoub Logical operations ANDORNOTXORAND,OR,NOT,XOR • Operands of logical operations can be: - operands that have values true or false - operands that have binary digits 0 or 1. (in this case the operations called bitwise operations). • In computer programming ,a bitwise operation operates on one or two bit patterns or binary numerals at the level of their individual bits. 2 Dr.AbuArqoub Truth tables • The following tables (truth tables ) that shows the result of logical operations that operates on values true, false. x y Z=x AND y x y Z=x OR y F F F F F F F T F F T T T F F T F T T T T T T T x y Z=x XOR y x NOT X F F F F T F T T T F T F T T T F 3 Dr.AbuArqoub Bitwise Operations • In computer programming ,a bitwise operation operates on one or two bit patterns or binary numerals at the level of their individual bits. • Bitwise operators • NOT • The bitwise NOT, or complement, is an unary operation that performs logical negation on each bit, forming the ones' complement of the given binary value. -
A Query Facility for Allegro Redacted for Privacy Abstract Approved: Earl F
AN ABSTRACT OF THE THESIS OF Richard Goodemoot for the degree of Master of Science in Computer Science presented on June 11 1986. Title: A Query Facility for Allegro Redacted for Privacy Abstract approved: Earl F. Ecklund, Jr. Allegro is a network database management system being developed at Oregon State University. This project adds a user friendly query facility to the system. The user is presented with pictorial display of the network records and a query interface modeled on the QueryByExample system.By request the user may be shown the network sets of the queryschema. When necessary the user may specify query navigationofthe network schema. While implemented and functional, this facility should be considered as a feasibility study for a full query system on a network data base. To provide the desired display this facility is implemented on a system separate from the main Allegro system and uses a communication interface to it. This facility is a Smalitalk implementation. A Query Facility for Allegro by Richard Goodemoot A THESIS submitted to Oregon State University In partial fulfillment of the requirements for the degree of Master of Science Completed June 11, 1986 Commencement June 1987 APPROVED: / Redacted for Privacy Adjunct Professor of Computer Science in Charge of Major Redacted for Privacy on behalf of Walter Rudd Chairman of Department of Computer Science Redacted for Privacy Dean of Gradtfate School Date thesis is presented June 11, 1986 Typed by Richard Goodemoot TABLE OF CONTENTS Page 1 INTRODUCTION 1 1.1 Network Database -
Notes on Algebraic Structures
Notes on Algebraic Structures Peter J. Cameron ii Preface These are the notes of the second-year course Algebraic Structures I at Queen Mary, University of London, as I taught it in the second semester 2005–2006. After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permuta- tions, the notes fall into two chapters, dealing with rings and groups respec- tively. I have chosen this order because everybody is familiar with the ring of integers and can appreciate what we are trying to do when we generalise its prop- erties; there is no well-known group to play the same role. Fairly large parts of the two chapters (subrings/subgroups, homomorphisms, ideals/normal subgroups, Isomorphism Theorems) run parallel to each other, so the results on groups serve as revision for the results on rings. Towards the end, the two topics diverge. In ring theory, we study factorisation in integral domains, and apply it to the con- struction of fields; in group theory we prove Cayley’s Theorem and look at some small groups. The set text for the course is my own book Introduction to Algebra, Ox- ford University Press. I have refrained from reading the book while teaching the course, preferring to have another go at writing out this material. According to the learning outcomes for the course, a studing passing the course is expected to be able to do the following: • Give the following. Definitions of binary operations, associative, commuta- tive, identity element, inverses, cancellation. Proofs of uniqueness of iden- tity element, and of inverse. -
Episode 7.03 – Coding Bitwise Operations
Episode 7.03 – Coding Bitwise Operations Welcome to the Geek Author series on Computer Organization and Design Fundamentals. I’m David Tarnoff, and in this series, we are working our way through the topics of Computer Organization, Computer Architecture, Digital Design, and Embedded System Design. If you’re interested in the inner workings of a computer, then you’re in the right place. The only background you’ll need for this series is an understanding of integer math, and if possible, a little experience with a programming language such as Java. And one more thing. This episode has direct consequences for our code. You can find coding examples on the episode worksheet, a link to which can be found on the transcript page at intermation.com. Way back in Episode 2.2 – Unsigned Binary Conversion, we introduced three operators that allow us to manipulate integers at the bit level: the logical shift left (represented with two adjacent less-than operators, <<), the arithmetic shift right (represented with two adjacent greater-than operators, >>), and the logical shift right (represented with three adjacent greater-than operators, >>>). These special operators allow us to take all of the bits in a binary integer and move them left or right by a specified number of bit positions. The syntax of all three of these operators is to place the integer we wish to shift on the left side of the operator and the number of bits we wish to shift it by on the right side of the operator. In that episode, we introduced these operators to show how bit shifts could take the place of multiplication or division by powers of two. -
Chapter 4 Sets, Combinatorics, and Probability Section
Chapter 4 Sets, Combinatorics, and Probability Section 4.1: Sets CS 130 – Discrete Structures Set Theory • A set is a collection of elements or objects, and an element is a member of a set – Traditionally, sets are described by capital letters, and elements by lower case letters • The symbol means belongs to: – Used to represent the fact that an element belongs to a particular set. – aA means that element a belongs to set A – bA implies that b is not an element of A • Braces {} are used to indicate a set • Example: A = {2, 4, 6, 8, 10} – 3A and 2A CS 130 – Discrete Structures 2 Continue on Sets • Ordering is not imposed on the set elements and listing elements twice or more is redundant • Two sets are equal if and only if they contain the same elements – A = B means (x)[(xA xB) Λ (xB xA)] • Finite and infinite set: described by number of elements – Members of infinite sets cannot be listed but a pattern for listing elements could be indicated CS 130 – Discrete Structures 3 Various Ways To Describe A Set • The set S of all positive even integers: – List (or partially list) its elements: • S = {2, 4, 6, 8, …} – Use recursion to describe how to generate the set elements: • 2 S, if n S, then (n+2) S – Describe a property P that characterizes the set elements • in words: S = {x | x is a positive even integer} • Use predicates: S = {x P(x)} means (x)[(xS P(x)) Λ (P(x) xS)] where P is the unary predicate. -
Prolog Experiments in Discrete Mathematics, Logic, and Computability
Prolog Experiments in Discrete Mathematics, Logic, and Computability James L. Hein Portland State University March 2009 Copyright © 2009 by James L. Hein. All rights reserved. Contents Preface.............................................................................................................. 4 1 Introduction to Prolog................................................................................... 5 1.1 Getting Started................................................................................ 5 1.2 An Introductory Example................................................................. 6 1.3 Some Programming Tools ............................................................... 9 2 Beginning Experiments................................................................................ 12 2.1 Variables, Predicates, and Clauses................................................ 12 2.2 Equality, Unification, and Computation ........................................ 16 2.3 Numeric Computations ................................................................... 19 2.4 Type Checking.................................................................................. 20 2.5 Family Trees .................................................................................... 21 2.6 Interactive Reading and Writing..................................................... 23 2.7 Adding New Clauses........................................................................ 25 2.8 Modifying Clauses ..........................................................................