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  • Remixer University
    • Download Center
      • Book: CS11
    • Username: admin
      • Book: Introduction to Environmental Science (Zendher et al.)
        • Chapter 1: Introduction to Environmental Sciences
        • Chapter 2: Population Ecology
        • Chapter 3: Human Demography
        • Chapter 4: Non-Renewable Energy
        • Chapter 5: Alternative Energy
        • Chapter 6: Air Pollution
        • Chapter 7: Climate Change
        • Chapter 8: Water
      • Book: Introduction to Environmental Science (Zendher et al.)1
        • Chapter 1: Introduction to Environmental Sciences
        • Chapter 2: Population Ecology
        • Chapter 3: Human Demography
        • Chapter 4: Non-Renewable Energy
        • Chapter 5: Alternative Energy
          • 5.1: Introduction
          • 5.2: Solar Energy
          • 5.3: Biomass Energy
          • 5.4: Wind Power
          • 5.5: Geothermal Power
          • 5.6: Hydroelectric Power (Hydropower)
          • 5.7: Other Alternative Renewable Energy Sources
          • 5.8: Policy and Conservation
          • 5.9: Appendix
        • Chapter 6: Air Pollution
        • Chapter 7: Climate Change
          • 7.1: The Carbon Cycle
          • 7.2: Human Impacts on the Carbon Cycle
          • 7.3: The Science of Climate Change
          • 7.4: Greenhouse Gases
          • 7.5: Tools Scientists Use to Study Climate Change
          • 7.6: Consequences of Climate Change
          • 7.7: Looking Forward: Climate Strategies
        • Chapter 8: Water
      • Book: Introduction to Environmental Science (Zendher et al.)2
        • Chapter 1: Introduction to Environmental Sciences
          • 1.1: The Chemical Foundations of Life
          • 1.2: Biological Molecules
          • 1.3: Biological Organization
          • 1.4: Environment and environmental science
          • 1.5: Sustainability and Sustainable Development
          • 1.6: Appendix
        • Chapter 2: Population Ecology
          • 2.1: Introduction
          • 2.2: Population Growth Models
          • 2.3: Factors Limiting Population Growth
          • 2.4: Life Tables and Survivorship
          • 2.5: Population Ecology Practice Problems
        • Chapter 3: Human Demography
          • 3.1: The Human Population
          • 3.2: Demography
          • 3.3: Age structure diagrams
          • 3.4: The Demographic Transition Model
          • 3.5: Life Expectancy
          • 3.6: Fertility
          • 3.7: Appendix
        • Chapter 4: Non-Renewable Energy
          • 4.1: What is Energy?
          • 4.2: Fossil Fuels
          • 4.3: Coal
          • 4.4: Oil
          • 4.5: Natural Gas
          • 4.6: Fossil Fuels and Greenhouse Gases
          • 4.7: Nuclear Energy
          • 4.8: Appendix
        • Chapter 5: Alternative Energy
          • 5.1: Introduction
          • 5.2: Solar Energy
          • 5.3: Biomass Energy
          • 5.4: Wind Power
          • 5.5: Geothermal Power
          • 5.6: Hydroelectric Power (Hydropower)
          • 5.7: Other Alternative Renewable Energy Sources
          • 5.8: Policy and Conservation
          • 5.9: Appendix
        • Chapter 6: Air Pollution
          • 6.1: Composition and Structure of the Atmosphere
          • 6.2: Ozone
          • 6.3: Outdoor Air Pollution
          • 6.4: Indoor Air Pollution
          • 6.5: Effects of Air Pollution on Human Health
          • 6.6: Acid Rain
          • 6.7: Air Pollution Legislation
          • 6.8: Appendix
        • Chapter 7: Climate Change
          • 7.1: The Carbon Cycle
          • 7.2: Human Impacts on the Carbon Cycle
          • 7.3: The Science of Climate Change
          • 7.4: Greenhouse Gases
          • 7.5: Tools Scientists Use to Study Climate Change
          • 7.6: Consequences of Climate Change
          • 7.7: Looking Forward: Climate Strategies
        • Chapter 8: Water
    • Username: jhalpern
  • ASCCC
  • Arapahoe Community College
  • Community College of Allegheny County
  • Diablo Valley College
    • ENGTC168 - Intro To Computer Numerical Control (CNC)
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • 1: Overview Of CNC Machining
        • 1.1: Types of CNC Machines
        • 1.2: The role of CNC machining in production and prototyping
        • 1.3: CNC tools and characteristics
        • 1.4: Introduction to CNC machine components
        • 1.5: Lab - Safety and protocol
      • 2: Introduction To G-code Programming
        • 2.1: Basic programming terms
        • 2.2: Programming formats
        • 2.3: Format notation
        • 2.4: Symbols in CNC programming
        • 2.5: Typical program structure
        • 2.6: Lab - Program planning
        • 2.7: Lab - Axes Designation
        • 2.8: Lab - Feeds and speed settings
        • 2.9: Lab - Cutter compensation
      • 3: CNC Control Systems
        • 3.1: Operation panel
        • 3.2: Parameter settings
        • 3.3: System defaults
        • 3.4: Manual data input
        • 3.5: Lab - Overview of simulator interface
        • 3.6: Lab - Simulator operation
        • 3.7: Lab - Air passes and code verification before milling
      • 4: CNC Milling Machine Setup For Part Production
        • 4.1: Safety and general setup and operation
        • 4.2: Vices and fixtures
        • 4.3: Lab - Vices and fixtures
        • 4.4: Lab - Stock and materials
        • 4.5: Coolant
        • 4.6: Lab - Coolant and coolant maintenance
      • 5: Introduction To Cutting Tool Characteristics
        • 5.1: Types of cutting tools
        • 5.2: Lab - Cutting tools, collets, tapers, and the CNC tool changer
        • 5.3: Cutting tool sizes and applications
        • 5.4: Cutting tool behavior and parameters
        • 5.5: Lab - Speeds, feeds, and depths
      • 6: Post-Processing Part Files For Machining
        • 6.1: Proofing a parts file for manufacturing
        • 6.2: Editing in G-Code
        • 6.3: Running a program on a CNC simulator
        • 6.4: Test runs, air-passes, and simulations
        • 6.5: Lab - Cutting and final part production
      • 7: 3D Modeling Of Parts And Components (CAD)
        • 7.1: Tools, menus and commands
        • 7.2: Views and projections
        • 7.3: Solid geometry, extrusions, surfaces, lofts, and sweeps
        • 7.4: Working planes and reference planes
        • 7.5: Lab - 3D Modeling CAD Exercise
      • 8: Introduction to Computer Aided Machining (CAM) Software
        • 8.1: Graphic user interface and operating environment
        • 8.2: Tools menu
        • 8.3: Lab - Tool libraries and tool length offsets
        • 8.4: Lab - Types of tool paths
        • 8.5: Cartesian coordinate systems
        • 8.6: Graphic standards and representation methods
        • 8.7: Creating part geometry
        • 8.8: Creating points, lines, and arcs using CAM software
        • 8.9: Lab - Creating tool paths in 2D
        • 8.10: Lab - Creating tool paths in 3D
        • 8.11: Assembly design workflow
        • 8.12: Lab - Additional instructions and operations
        • 8.13: Lab - Previewing a tool path
      • Back Matter
  • Delta College
    • CS11 - Informations Systems
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • 1: What is an Information System?
        • 1.1: Introduction to Information Systems?
          • 1.1A: Components of an Information System
          • 1.1B: The Role of Information Systems
          • 1.1C: Competitive Advantage
          • 1.1S: Section #1 Summary
        • 1.2: Hardware
          • 1.2A Hardware Components
          • 1.2B More Computing Devices
          • 1.2C Computers are part of life
          • 1.2S: Section #2 Summary
        • 1.3: Software
          • 1.3E: Software Creation & open Source Software
          • 1.3A Operating Systems
          • 1.3B: Application Software
          • 1.3C Mobile Apps
          • 1.3D: Cloud Computing
          • 1.3S: Section #3 Summary
        • 1.4: Data and Databases
          • 1.4A Relational Database
            • 1.4B: Designing a Database
            • 1.4C: Normalization of a Database
            • 1.4D: Data Types
            • 1.4E: Structured Query Language (SQL)
          • 1.4F: Database Management Systems
          • 1.4G: Big Data
          • 1.4H: Data Warehousing
          • 1.4I: Data Mining and stuff
          • 1.4S: Unit 4 Summary
        • 1.5: Networking and Communication
          • 1.5A: History Lesson
          • 1.5B: Internet and the Web
          • 1.5C: Broadband
          • 1.5D: Wireless
          • 1.5E: LAN / WAN and Client Server
          • 1.5F: Intranet, Extranet, and Cloud
          • 1.5S: Section #5 Summary
        • 1.6: Information Systems Security
          • 1.6A: CIA
          • 1.6B: Tools to Use
            • 1.6C: Authentication
            • 1.6D: Access Control
            • 1.6E: Encryption
            • 1.6F: Backups
          • 1.6G: Firewalls
          • 1.6H: IDS
          • 1.6I: Physical Security
          • 1.6J: Security Policies
            • 1.6K: Mobile Secuirty
          • 1.6L: Personal info Sec
          • 1.6.S: Section #6 Summary
      • 2: Information Systems for Strategic Advantage
        • 2.1: Does IT Matter?
          • 2.1A: The Paradox
          • 2.1B: No - IT does NOT Matter
          • 2.1C: What is Competitive Advantage
          • 2.1D: The Value Chain
          • 2.1E: Porter's Five Forces
          • 2.1F: Using Information Systems for Competitive Advantage
            • 2.1.6.3: Collaborative Systems
            • 2.1.6.4: Decision Support Systems
            • 2.1G: Business Process Management Systems
            • 2.1G: EDI
          • 2.1H: Investing in IT
          • 2.1S: Section #1 Summary
        • 2.2: Business Processes
          • 2.2A: Business Process
          • 2.2B: Documenting a Process
          • 2.2C: Managing Documentation
          • 2.2D: ERP Systems
          • 2.2E: Process Management
          • 2.2F: Process Re-engineering
          • 2.2G: Sample of Re-engineering
          • 2.2H: ISO 9001
          • 2.2S: Section #2 Summary
        • 2.3: The People in Information Systems
          • 2.3A: Creators
            • 2.3B: System Analyst
            • 2.3C: System Programmer
            • 2.3D: Computer Engineer
          • 2.3E: Operations and Administration
            • 2.3F: Computer Operator
            • 2.3G: Database Administrator
            • 2.3H: Support Desk
            • 2.3I: Trainer
          • 2.3J: Managers
            • 2.3K: CIO
            • 2.3L: Functional Manager
            • 2.3M: ERP Manager
            • 2.3N: Project Managers
            • 2.3O: Info-Sec Officer
            • 2.3P: Emerging Roles
          • 2.3Q: Careers
          • 2.3R: Organization
            • 2.3S: Where are we?
            • 2.3T: New Thoughts
            • 2.3U: Outsourcing
          • 2.3V: Users
          • 2.3W: Section #3 Summary
        • 2.4: Information Systems Development
          • 2.4A: SDLC
          • 2.4B: Rapid App Dev
          • 2.4C: Agile and Lean Methods
          • 2.4D: Programming Languages
            • 2.4E: Language Generations
            • 2.4F: Compiled vs Interpreted
            • 2.4G: Procedural / Object Oriented
          • 2.4H: IDE / CASE
          • 2.4I: Home Grown or Purchased
          • 2.4J: Web Service
          • 2.4K: End User Dev
          • 2.4L: Project Implementation
          • 2.4S: Section #4 Summary
      • 3: Information Systems Beyond the Organization
        • 3.1: Globalization and the Digital Divide
          • 3.1A: Globalization?
            • 3.1B: The World...
          • 3.1C: Going Global
          • 3.1D: Digital Divide
          • 3.1E: OLPC
          • 3.1F: Changing the Divide
          • 3.1S: Section 1 Summary
        • 3.2: The Ethical and Legal Implications of Information Systems
          • 3.2A: Ethics
            • 3.2B: Code of Ethics
          • 3.2C: Acceptable Use
          • 3.2D: Intellectual Property
            • 3.2E: Copyright
              • 3.2F: Copyright details
              • 3.2F: Digital Millennium Copyright
            • 3.2G: Patent
              • 3.2H: Obtain Protection
            • 3.2I: Trademark
          • 3.2J: Privacy
            • 3.2.4.2: Other Privacy Laws
            • 3.2K: Non-Obvious Relationship
          • 3.2S: Section 2 Summary
        • 3.3: Future Trends in Information Systems
          • 3.3A: Global
          • 3.3B: Social and Personal
          • 3.3C: Mobile
          • 3.3D: Wearable
          • 3.3E: Collaborative
          • 3.3F: Findable
          • 3.3G: New Ideas
          • 3.3S: Section 3 Summary
      • Back Matter
    • Introduction to Programming Concepts - Python
      • 1: Introduction
        • 1.1: Why should you learn to write programs?
        • 1.2: Creativity and Motivation
        • 1.3: Computer Hardware Architecture
        • 1.4: Understanding Programming
        • 1.5: Words and Sentences
        • 1.6: Conversing with Python
        • 1.7: Terminology - Interpreter and Compiler
        • 1.8: Writing a Program
        • 1.9: What is a program?
        • 1.10: The Building Blocks of Programs
        • 1.11: What could possibly go wrong?
        • 1.12: The Learning Journey
        • 1.13: Introduction (Exercises)
        • 1.14: Introduction (Glossary)
      • 2: Variables, Expressions, and Statements
        • 2.1: Values and Types
        • 2.2: Variables
        • 2.3: Variable names and Keywords
        • 2.4: Statements
        • 2.5: Operators and Operands
        • 2.6: Expressions
        • 2.7: Order of Operations
        • 2.8: Modulus Operator
        • 2.9: String Operations
        • 2.10: Asking the user for input
        • 2.11: Comments
        • 2.12: Choosing Mnemonic Variable Names
        • 2.13: Debugging
        • 2.14: Variables, Expressions, and Statements (Exercises)
        • 2.15: Glossary
      • 3: Conditional Execution
        • 3.1: Boolean Expressions
        • 3.2: Logical Operators
        • 3.3: Conditional Execution
        • 3.4: Alternative Execution
        • 3.5: Chained Conditionals
        • 3.6: Nested Conditionals
        • 3.7: Catching exceptions Using Try and Except
        • 3.8: Short-Circuit Evaluation of Logical Expressions
        • 3.9: Debugging
        • 3.10: Conditional Execution (Exercises)
        • 3.11: Conditional Execution (Glossary)
      • 4: Functions
        • 4.1: Function Calls
        • 4.2: Built-in Functions
        • 4.3: Type Conversion Functions
        • 4.4: Random Numbers
        • 4.5: Math Functions
        • 4.6: Adding New Functions
        • 4.7: Definitions and Uses
        • 4.8: Flow of Execution
        • 4.9: Parameters and Arguments
        • 4.10: Fruitful functions and void functions
        • 4.11: Why functions?
        • 4.12: Debugging
        • 4.13: Functions (Exercises)
        • 4.14: Functions (Glossary)
      • 5: Iterations
        • 5.1: Updating Variables
        • 5.2: The while Statement
        • 5.3: Infinite Loops
        • 5.4: "Infinite loops" and break
        • 5.5: Finishing iterations with continue
        • 5.6: Definite loops using for
        • 5.7: Loop patterns
        • 5.8: Counting and Summing Loops
        • 5.9: Maximum and Minimum Loops
        • 5.10: Debugging
        • 5.11: Iterations (Exercises)
        • 5.12: Iterations (Glossary)
      • 6: Strings
        • 6.1: A string is a sequence
        • 6.2: Getting the length of a string using len
        • 6.3: Traversal through a string with a loop
        • 6.4: String Slices
        • 6.5: Strings are immutable
        • 6.6: Looping and Counting
        • 6.7: The in operator
        • 6.8: String Comparison
        • 6.9: String Methods
        • 6.10: Parsing strings
        • 6.11: Format operator
        • 6.12: Debugging
        • 6.13: Strings (Exercises)
        • 6.14: Strings (Glossary)
      • 7: Files
        • 7.1: Persistence
        • 7.2: Opening Files
        • 7.3: Text files and Lines
        • 7.4: Reading Files
        • 7.5: Searching through a File
        • 7.6: Letting the user choose the file name
        • 7.7: Using try, except, and open
        • 7.8: Writing Files
        • 7.9: Debugging
        • 7.10: Files (Exercises)
        • 7.11: Files (Glossary)
      • 8: Lists
        • 8.1: A list is a sequence
        • 8.2: Lists are mutable
        • 8.3: Traversing a List
        • 8.4: List operations
        • 8.5: List Slices
        • 8.6: List Methods
        • 8.7: Deleting Elements
        • 8.8: Lists and Functions
        • 8.9: Lists and Strings
        • 8.10: Parsing lines
        • 8.11: Objects and Values
        • 8.12: Aliasing
        • 8.13: List arguments
        • 8.14: Debugging
        • 8.15: Lists (Exercises)
        • 8.16: Lists (Glossary)
      • 9: Dictionaries
        • 9.1: Dictionaries
        • 9.2: Dictionary as a Set of Counters
        • 9.3: Dictionaries and Files
        • 9.4: Looping and Dictionaries
        • 9.5: Advanced Text Parsing
        • 9.6: Debugging
        • 9.7: Dictionaries (Exercises)
        • 9.8: Dictionaries (Glossary)
      • 10: Tuples
        • 10.1: Tuples are Immutable
        • 10.2: Comparing Tuples
        • 10.3: Tuple Assignment
        • 10.4: Dictionaries and Tuples
        • 10.5: Multiple assignment with dictionaries
        • 10.6: The most common words
        • 10.7: Using Tuples as Keys in Dictionaries
        • 10.8: Sequences: strings, lists, and tuples - Oh My!
        • 10.9: Debugging
        • 10.10: Tuples (Exercises)
        • 10.11: Tuples (Glossary)
      • 11: Regular Expressions
        • 11.1: Regular Expressions
        • 11.2: Character matching in regular expressions
        • 11.3: Extracting data using regular expressions
        • 11.4: Combining searching and extracting
        • 11.5: Escape Character
        • 11.06: Bonus section for Unix
          • 11.6: Bonus section for Unix / Linux users
        • 11.7: Debugging
        • 11.8: Regular Expressions (Exercises)
        • 11.9: Regular Expressions (Glossary)
        • 11.10: Regular Expressions (Summary)
      • 12: Networked Programs
        • 12.1: HyperText Transfer Protocol - HTTP
        • 12.2: The World's Simplest Web Browser
        • 12.3: Retrieving an image over HTTP
        • 12.4: Retrieving web pages with urllib
        • 12.5: Parsing HTML and scraping the web
        • 12.6: Parsing HTML using regular expressions
        • 12.7: Parsing HTML using BeautifulSoup
        • 12.8: Reading binary files using urllib
        • 12.9: Networked Programs (Exercises)
        • 12.10: Networked Programs (Glossary)
      • 13: Python and Web Services
        • 13.1: eXtensible Markup Language - XML
        • 13.2: Looping through Nodes
        • 13.3: JavaScript Object Notation - JSON
        • 13.4: Parsing JSON
        • 13.5: Application Programming Interfaces
        • 13.6: Google geocoding web service
        • 13.7: Security and API usage
        • 13.8: Python and Web Services (Exercises)
        • 13.9: Python and Web Services (Glossary)
      • 14: Object-Oriented Programming
        • 14.1: Managing Larger Programs
        • 14.2: Getting Started
        • 14.3: Using Objects
        • 14.4: Starting with Programs
        • 14.5: Subdividing a Problem - Encapsulation
        • 14.6: Our First Python Object
        • 14.7: Classes as Types
        • 14.8: Many Instances
        • 14.9: Object Lifecycle
        • 14.10: Inheritance
        • 14.11: Object-Oriented Programming (Glossary)
        • 14.12: Object-Oriented Programming (Summary)
      • 15: Using Databases and SQL
        • 15.1: What is a database?
        • 15.2: Database Concepts
        • 15.3: Database Browser for SQLite
        • 15.4: Creating a database table
        • 15.5: Structured Query Language summary
        • 15.6: Spidering Twitter using a database
        • 15.7: Basic data modeling
        • 15.8: Programming with Multiple Tables
        • 15.9: Constraints in Database Tables
        • 15.10: Retrieve and
          • 15.10: Retrieve and/or insert a record
        • 15.11: Storing the friend relationship
        • 15.12: Three Kinds of Keys
        • 15.13: Using JOIN to retrieve data
        • 15.14: Degugging
        • 15.15: Using Databases and SQL (Glossary)
        • 15.16: Using Databases and SQL (Summary)
      • 16: Visualizing data
        • 16.1: Building a Google map from geocoded data
        • 16.2: Visualizing Networks and Interconnections
        • 16.3: Visualizing mail data
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
    • Book: Introduction to Linux (McClanahan)
      • Back Matter
      • Chapter 1: Introductory Stuff
        • 1.1 Let's Begin
          • 1.1A Debian/Ubuntu Family
          • 1.1B: Arch family
          • 1.1C: Red Hat/Fedora Family
          • 1.1D: Slackware Family
          • 1.1E: Gentoo Family
          • 1.1G: Source Code
        • 1.2: How We Are Going To Do This
      • Chapter 2: Ubuntu Installation
      • Front Matter
  • Riverside City College
  • Tsinghua University
  • University of California Davis
  • University of California San Diego
    • UCSD CENG 176
      • Plate Heat Exchanger
  • Virginia Tech
  • Grossmont College
• Bookshelves
  • Chemical Engineering
    • Supplemental Modules (Chemical Engineering)
      • Chlorosilane Chemistry
        • Elemental Silicon
        • Silicon-Carbon-Chlorine molecules
        • Silicon-Carbon-Oxygen molecules
        • Silicon-Chlorine Bonded Molecules
        • Silicon-Oxygen Bonded Molecules
      • Phase Relations
        • 1: Introduction and Purpose
          • 1.1: Introduction
          • 1.2: Why Study Phase Behavior?
          • 1.3: Summary
          • 1.4: Action Item
        • 2: Phase Diagrams, Part I
          • 2.1: Introduction
          • 2.2: Pure-component Systems
          • 2.3: Action Item
        • 3: Phase Diagrams, Part II
          • 3.1: Vapor Pressure Curve
          • 3.2: PV Diagram for Pure Systems
          • 3.3: Action Item
        • 4: Phase Diagrams, Part III
          • 4.1: Binary Systems
          • 4.2: Retrograde Phenomenon
          • 4.3: Action Item
        • 5: Phase Diagrams, Part IV
          • 5.1: Effect of Composition on Phase Behavior
          • 5.2: Px and Tx Diagrams
          • 5.3: The Lever Rule
          • 5.4: Ternary Systems
          • 5.5: Multicomponent Mixtures
          • 5.6: Action Item
        • 6: PT Behavior and Equations of State (EOS), Part I
          • 6.2: P-V-T Behavior
          • 6.3: Ideal Behavior
          • 6.4: Real Gases
          • 6.6: Action Item
          • 6.1: Introduction
          • 6.5: Summary
        • 7: PT Behavior and Equations of State (EOS), Part II
          • 7.1: The Compressibility (Z-Factor)
          • 7.2: Definition of Equation of State (EOS)
          • 7.3: Purpose and Historical Development
          • 7.4: The van der Waals EOS
          • 7.5: Action Item
        • 8: PT Behavior and Equations of State III
          • 8.1: Principle of Corresponding States (PCS)
          • 8.2: Acentric Factor and Corresponding States
          • 8.3: Action Item
        • 9: Cubic EOS and Their Behavior (I)
          • 9.1: Introduction
          • 9.2: The Cubic Behavior
          • 9.3: Implications of S-shaped curve (Sub-critical Conditions)
          • 9.4: Action Item
        • 10: Cubic EOS and Their Behavior (II)
          • 10.1: Multiple Roots and Cubic Behavior
          • 10.2: Modern Cubic EOS
          • 10.3: Redlich-Kwong EOS (1949)
          • 10.4: Soave-Redlich-Kwong EOS (1972)
          • 10.5: Action Item
        • 11: Cubic EOS and Their Behavior (III)
          • 11.1: Peng-Robinson EOS (1976)
          • 11.2: Comparative Assessment of RK, SRK, and PR EOS
          • 11.3: Zc as a Measure of Goodness of an EOS
          • 11.4: Advantages of Using Cubic Equations of State
          • 11.5: Solution Techniques for Cubic Expressions and Root Finding
          • 11.6: Action Item
        • 12: Elementary Vapor-Liquid Equilibrium (I)
          • 12.1: Introduction
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 12.2: Types of VLE Problems
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 12.3: Formulation of the VLE Problem
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 12.4: Action Item
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
        • 13: Elementary Vapor-Liquid Equilibrium (II)
          • 13.1: Analysis of Objective Functions
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 13.2: Objective Function and Newton-Raphson Procedure
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 13.3: Do We Really Know Ki
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
          • 13.4: Action Item
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
        • 14: Thermodynamic Tools (I)
          • 14.1: Introduction
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
          • 14.2: Basic Definitions
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
          • 14.3: Thermodynamics of Systems of Constant Composition (Closed Systems)
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 14.4: Functions of State or State Functions
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 14.5: Mechanics of Manipulating a Function of State
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 14.6: Computing Property Changes in Closed Systems
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
          • 14.7: Action Item
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
            • User Guide
        • 15: Thermodynamic Tools (II)
          • 15.1: Homogeneous Functions, Euler's Theorem and Partial Molar Quantities
          • 15.2: Thermodynamics of Systems of Variable Composition (Open Multicomponent Systems)
          • 15.3: Action Item
        • 16: Thermodynamic Tools (III)
          • 16.1: The Chemical Potentials
          • 16.2: The Thermodynamic Concept of Equilibrium
          • 16.3: Fugacity
          • 16.4: Expressions for Fugacity Calculation
          • 16.5: Cubic EOS Fugacity Expressions
          • 16.6: Action Item
        • 17: Vapor-Liquid Equilibrium via EOS
          • 17.1: Introduction
          • 17.2: Equilibrium and Equilibrium Ratios (Ki)
          • 17.3: Solution Algorithms for VLE Problems
          • 17.4: Successive Substitution Method (SSM)
          • 17.5: The Accelerated Successive Substitution Method (ASSM)
          • 17.6: The Stability Criteria
          • 17.7: Action Item
        • 18: Properties of Natural Gas and Condensates (I)
          • 18.1: Introduction
          • 18.2: Molecular Weight
          • 18.3: Density
          • 18.4: Specific Gravity
          • 18.5: API
          • 18.6: Volumetric Factors (Bo and Bg)
          • 18.7: Isothermal Compressibilities
          • 18.8: Surface Tension
          • 18.9: Action Item
        • 19: Properties of Natural Gas and Condensates (II)
          • 19.1: Heat Capacities
          • 19.2: Joule-Thomson Coefficient
          • 19.3: Viscosity
          • 19.4: Action Item
        • 20: Engineering Applications (I)
          • 20.1: Introduction: Phase Behavior as the Quintessential Tool
          • 20.2: Design and Optimization of Separators
          • 20.3: Compositional Modeling of Gas-Condensate Reservoirs:The Zero-dimensional Approach
          • 20.4: Action Item
        • 21: Engineering Applications (II)
          • 21.1: Natural Gas Pipeline Modeling
          • 21.2: The Hydrate Problem
          • 21.3: Gas Metering
          • 21.4: Action Item
    • Book: Phase Relations
      • 1: Introduction and Purpose
        • 1.1: Introduction
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 1.2: Why Study Phase Behavior?
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 1.3: Summary
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 1.4: Action Item
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
      • 2: Phase Diagrams, Part I
        • 2.1: Introduction
        • 2.2: Pure-component Systems
        • 2.3: Action Item
      • 3: Phase Diagrams, Part II
        • 3.1: Vapor Pressure Curve
        • 3.2: PV Diagram for Pure Systems
        • 3.3: Action Item
      • 4: Phase Diagrams, Part III
        • 4.1: Binary Systems
        • 4.2: Retrograde Phenomenon
        • 4.3: Action Item
      • 5: Phase Diagrams, Part IV
        • 5.1: Effect of Composition on Phase Behavior
        • 5.2: Px and Tx Diagrams
        • 5.3: The Lever Rule
        • 5.4: Ternary Systems
        • 5.5: Multicomponent Mixtures
        • 5.6: Action Item
      • 6: PT Behavior and Equations of State (EOS), Part I
        • 6.2: P-V-T Behavior
        • 6.3: Ideal Behavior
        • 6.4: Real Gases
        • 6.6: Action Item
        • 6.1: Introduction
        • 6.5: Summary
      • 7: PT Behavior and Equations of State (EOS), Part II
        • 7.1: Z-Factor
        • 7.2: Definition of Equation of State (EOS)
        • 7.3: Purpose and Historical Development
        • 7.4: The van der Waals Equation
        • 7.5: Action Item
      • 8: PT Behavior and Equations of State III
        • 8.1: Principle of Corresponding States (PCS)
        • 8.2: Acentric Factor and Corresponding States
        • 8.3: Action Item
      • 9: Cubic EOS and Their Behavior (I)
        • 9.1: Introduction
        • 9.2: The Cubic Behavior
        • 9.3: Implications of S-shaped curve (Sub-critical Conditions)
        • 9.4: Action Item
      • 10: Cubic EOS and Their Behavior (II)
        • 10.1: Multiple Roots and Cubic Behavior
        • 10.2: Modern Cubic EOS
        • 10.3: Redlich-Kwong EOS (1949)
        • 10.4: Soave-Redlich-Kwong EOS (1972)
        • 10.5: Action Item
      • 11: Cubic EOS and Their Behavior (III)
        • 11.1: Peng-Robinson EOS (1976)
        • 11.2: Comparative Assessment of RK, SRK, and PR EOS
        • 11.3: Zc as a Measure of Goodness of an EOS
        • 11.4: Advantages of Using Cubic Equations of State
        • 11.5: Solution Techniques for Cubic Expressions and Root Finding
        • 11.6: Action Item
      • 12: Elementary Vapor-Liquid Equilibrium (I)
        • 12.1: Introduction
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 12.2: Types of VLE Problems
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 12.3: Formulation of the VLE Problem
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 12.4: Action Item
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
      • 13: Elementary Vapor-Liquid Equilibrium (II)
        • 13.1: Analysis of Objective Functions
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 13.2: Objective Function and Newton-Raphson Procedure
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 13.3: Do We Really Know Ki
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
        • 13.4: Action Item
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
      • 14: Thermodynamic Tools (I)
        • 14.1: Introduction
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
        • 14.2: Basic Definitions
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
        • 14.3: Thermodynamics of Systems of Constant Composition (Closed Systems)
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 14.4: Functions of State or State Functions
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 14.5: Mechanics of Manipulating a Function of State
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 14.6: Computing Property Changes in Closed Systems
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 14.7: Action Item
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
      • 15: Thermodynamic Tools (II)
        • 15.1: Homogeneous Functions, Euler's Theorem and Partial Molar Quantities
        • 15.2: Thermodynamics of Systems of Variable Composition (Open Multicomponent Systems)
        • 15.3: Action Item
      • 16: Thermodynamic Tools (III)
        • 16.1: The Chemical Potentials
        • 16.2: The Thermodynamic Concept of Equilibrium
        • 16.3: Fugacity
        • 16.4: Expressions for Fugacity Calculation
        • 16.5: Cubic EOS Fugacity Expressions
        • 16.6: Action Item
      • 17: Vapor-Liquid Equilibrium via EOS
        • 17.1: Introduction
        • 17.2: Equilibrium and Equilibrium Ratios (Ki)
        • 17.3: Solution Algorithms for VLE Problems
        • 17.4: Successive Substitution Method (SSM)
        • 17.5: The Accelerated Successive Substitution Method (ASSM)
        • 17.6: The Stability Criteria
          • Administrator Guide
          • Getting Started
          • Knowledge Base
          • Known Issues
          • User Guide
        • 17.7: Action Item
      • 18: Properties of Natural Gas and Condensates (I)
        • 18.1: Introduction
        • 18.2: Molecular Weight
        • 18.3: Density
        • 18.4: Specific Gravity
        • 18.5: API
        • 18.6: Volumetric Factors (Bo and Bg)
        • 18.7: Isothermal Compressibilities
        • 18.8: Surface Tension
        • 18.9: Action Item
      • 19: Properties of Natural Gas and Condensates (II)
        • 19.1: Heat Capacities
        • 19.2: Joule-Thomson Coefficient
        • 19.3: Viscosity
        • 19.4: Action Item
      • 20: Engineering Applications (I)
        • 20.1: Introduction: Phase Behavior as the Quintessential Tool
        • 20.2: Design and Optimization of Separators
        • 20.3: Compositional Modeling of Gas-Condensate Reservoirs:The Zero-dimensional Approach
        • 20.4: Action Item
      • 21: Engineering Applications (II)
        • 21.1: Natural Gas Pipeline Modeling
        • 21.2: The Hydrate Problem
        • 21.3: Gas Metering
        • 21.4: Action Item
    • Map: Fluid Mechanics (Bar-Meir)
      • 1: Introduction to Fluids
        • 1.1: What is Fluid Mechanics?
        • 1.2: Brief History
        • 1.2: Thermodynamics
        • 1.3: Kinds of Fluids
          • Shear Stress
        • 1.4: Shear Stress
        • 1.5: Viscosity
          • 1.5.1: General Discussion
          • 1.5.2: Non-Newtonian Fluids
            • Kinematic Viscosity
          • 1.5.3: Kinematic Viscosity
            • Administrator Guide
            • Getting Started
            • Knowledge Base
            • Known Issues
          • 1.5.4: Estimation of the Viscosity
        • 1.6: Fluid Properties
          • 1.6.1: Fluid Density
          • 1.6.2: Bulk Modulus
            • 1.6.2.1: Bulk Modulus of Mixtures
            • 1.6.2.2: When the Bulk Modulus is Important? and Hydraulics System
        • 1.7: Surface Tension
          • 1.7.1: Wetting of Surfaces
            • 1.7.1.1: Capillarity
      • 2: Review of Thermodynamics
        • 2.1: Introductory Remarks
        • 2.2: Basic Definitions
        • 2.3: Thermodynamics First Law
        • 2.4: Thermodynamics Second Law
      • 3: Review of Mechanics
        • 3.1: Introductory Remarks
        • 3.2: Kinematics of a Point Body
        • 3.3: Center of Mass
          • 3.3.1: Actual Center of Mass
          • 3.3.2: Aproximate Center of Area
        • 3.4: Moment of Inertia
          • 3.4.1 Moment of Inertia for Mass
          • 3.4.2: Moment of Inertia for Area
            • 3.4.2.1: General Discussion
            • 3.4.2.2: The Parallel Axis Theorem
          • 3.4.3: Examples of Moment of Inertia
          • 3.4.4: Product of Inertia
          • 3.4.5: Principal Axes of Inertia
        • 3.5: Newton's Laws of Motion
        • 3.6: Angular Momentum and Torque
          • 3.6.1: Tables of geometries
      • 4: Fluids Statics
        • 4.1: Introduction
        • 4.2: The Hydrostatic Equation
        • 4.3: Pressure and Density in a Gravitational Field
          • 4.3.1: Constant Density in Gravitational Field
          • 4.3.2: Pressure Management
            • 4.3.2.1: Measuring the Atmospheric Pressure
            • 4.3.2.2: Pressure Measurement
            • 4.3.2.3 Magnified Pressure Measurement
          • 4.3.3 Varying Density in a Gravity Field
            • 4.3.3.1: Gas Phase under Hydrostatic Pressure
            • 4.3.3.2: Liquid Phase Under Hydrostatic Pressure
          • 4.3.4: The Pressure Effects Due To Temperature Variations
            • 4.3.4.1: The Basic Analysis
            • 4.3.4.2 The Stability Analysis
          • 4.3.5: Gravity Variations Effects on Pressure and Density
            • 4.3.5.1: Ideal Gas in Varying Gravity
            • 4.3.5.2: Real Gas in Varying Gravity
            • 4.3.5.3: Liquid Under Varying Gravity
          • 4.3.6 Liquid Phase
        • 4.4: Fluid in an Accelerated System
          • 4.4.1: Fluid in a Linearly Accelerated System
          • 4.4.2 Angular Acceleration Systems: Constant Density
          • 4.4.3: Fluid Statics in Geological System
        • 4.5: Fluid Forces on Surfaces
          • 4.5.1: Fluid Forces on Straight Surfaces
            • 4.5.1.1: Pressure Center
            • 4.5.1.2: Multiply Layers
          • 4.5.2: Forces on Curved Surfaces
        • 4.6: Buoyancy and Stability
          • 4.6.1: Stability
            • 4.6.1.1: Stability of Body with Shifting Mass Centroid
            • 4.6.1.2: Metacentric Height, \(\overline{GM}\), Measurement
            • 4.6.1.3 Stability of Submerged Bodies
            • 4.6.1.4: Stability of None Systematical or ``Strange'' Bodies
            • 4.6.1.5: Neutral frequency of Floating Bodies
          • 4.6.2: Surface Tension
        • 4.7: Rayleigh–Taylor Instability
        • 4.8: Qualitative questions
      • 5: The Control Volume and Mass Conservation
        • 5.1: Introduction
        • 5.2: Control Volume
        • 5.3: Continuity Equation
          • 5.3.1: Non Deformable Control Volume
          • 5.3.2: Constant Density Fluids
            • 5.3.2.1: Non Deformable Control Volume
            • 5.3.2.2: Deformable Control Volume
            • 5.3.2.3: One–Dimensional Control Volume
        • 5.4: Reynolds Transport Theorem
        • 5.5: Examples For Mass Conservation
        • 5.6: The Details Picture – Velocity Area Relationship
        • 5.7: More Examples for Mass Conservation
      • 6: Momentum Conservation for Control Volume
        • 6.1: Momentum Governing Equation
          • 6.1.1: Introduction to Continuous
          • 6.1.2: External Forces
          • 6.1.3: Momentum Governing Equation
          • 6.1.4: Momentum Equation in Acceleration System
          • 6.1.5: Momentum For Steady State and Uniform Flow
            • 6.1.5.1: Momentum for For Constant Pressure and Frictionless Flow
        • 6.2: Momentum Equation Application
          • 6.2.1: Momentum for Unsteady State and Uniform Flow
          • 6.2.2: Momentum Application to Unsteady State
        • 6.3: Conservation Moment Of Momentum
        • 6.4: More Examples on Momentum Conservation
          • 6.4.1: Qualitative Questions
      • 7: Energy Conservation
        • 7.1: The First Law of Thermodynamics
        • 7.2: Limitation of Integral Approach
        • 7.3 Approximation of Energy Equation
          • 7.3.1: Energy Equation in Steady State
          • 7.3.2: Energy Equation in Frictionless Flow and Steady State
        • 7.4: Energy Equation in Accelerated System
          • 7.4.1: Energy in Linear Acceleration Coordinate
          • 7.4.2: Linear Accelerated System
          • 7.4.3: Energy Equation in Rotating Coordinate System
          • 7.4.4: Simplified Energy Equation in Accelerated Coordinate
            • 7.4.4.1: Energy Equation in Accelerated Coordinate with Uniform Flow
          • 7.4.5: Energy Losses in Incompressible Flow
        • 7.5: Examples of Integral Energy Conservation
        • 7.6: Qualitative Questions
      • 8: Differential Analysis
        • 8.1: Introduction
        • 8.2: Mass Conservation
          • 8.2.1 Mass Conservation Examples
        • 8.3: Conservation of General Quantity
          • 8.3.1 Generalization of Mathematical Approach for Derivations
          • 8.3.2 Examples of Several Quantities
            • 8.3.2.1: The General Mass Time Derivative
        • 8.4: Momentum Conservation
        • 8.5: Derivations of the Momentum Equation
        • 8.6: Boundary Conditions and Driving Forces
          • 8.6.1 Boundary Conditions Categories
        • 8.7: Examples for Differential Equation (Navier-Stokes)
          • 8.7.1: Interfacial Instability
      • 9: Dimensional Analysis
        • 9.1 Introductory Remarks
          • 9.1.1: Brief History
          • 9.1.2: Theory Behind Dimensional Analysis
          • 9.1.3: Dimensional Parameters Application for Experimental Study
          • 9.1.4: The Pendulum Class Problem
        • 9.2: Buckingham–π–Theorem
          • 9.2.1: Construction of the Dimensionless Parameters
          • 9.2.2: Basic Units Blocks
          • 9.2.3: Implementation of Construction of Dimensionless Parameters
            • 9.2.3.1: One Shot Method: Constructing Dimensionless Parameters
            • 9.2.3.2: Building Blocks Method: Constructing Dimensional Parameters
            • 9.2.3.3 Mathematical Method: Constructing Dimensional Parameters
          • 9.2.4: Similarity and Similitude
        • 9.3 Nusselt's Technique
        • 9.4 Summary of Dimensionless Numbers
          • 9.4.1: The Significance of these Dimensionless Numbers
          • 9.4.2: Relationship Between Dimensionless Numbers
          • 9.4.3: Examples for Dimensional Analysis
        • 9.5 Summary
      • 10: Inviscid Flow or Potential Flow
        • 10.1 Introduction
          • 10.1.1: Inviscid Momentum Equations
        • 10.2
          • 10.2.1: Streamline and Stream function
          • 10.2.2: Compressible Flow Stream Function
            • 10.2.2.1: Stream Function in a Three Dimensions
          • 10.2.3: The Connection Between the Stream Function and the Potential Function
            • 10.2.3.1: Existences of Stream Functions
        • 10.3 Potential Flow Functions Inventory
          • 10.3.1: Flow Around a Circular Cylinder
            • 10.3.1.1: Adding Circulation to a Cylinder
        • 10.4 Conforming Mapping
          • 10.4.1: Complex Potential and Complex Velocity
        • 10.5 Unsteady State Bernoulli in Accelerated Coordinates
      • 11: Compressible Flow One Dimensional
        • 11.1 What is Compressible Flow?
        • 11.2 Why Compressible Flow is Important?
        • 11.3 Speed of Sound
          • 11.3.1: Introduction
          • 11.3.2: Speed of Sound in Ideal and Perfect Gases
          • 11.3.3: Speed of Sound in Almost Incompressible Liquid
          • 11.3.4: Speed of Sound in Solids
          • 11.3.5: The Dimensional Effect of the Speed of Sound
        • 11.4 Isentropic Flow
          • 11.4.1: Stagnation State for Ideal Gas Model
          • 11.4.2: Isentropic Converging–Diverging Flow in Cross Section
          • 11.4.3: The Properties in the Adiabatic Nozzle
            • 11.4.3.1: The pressure Mach number relationship
            • 11.4.3.2: Relationship Between the Mach Number and Cross Section Area
          • 11.4.4: Isentropic Flow Examples
          • 11.4.5: Mass Flow Rate (Number)
          • 11.4.7: The Impulse Function
        • 11.5 Normal Shock
          • 11.5.1: Solution of the Governing Equations
            • 11.5.1.1: The Star Conditions
          • 11.5.2: Prandtl's Condition
          • 11.5.3: Operating Equations and Analysis
        • 11.6 Qualitative questions
          • 11.7 Isothermal Flow
        • 11.7 Isothermal Flow
          • 11.7.1: The Control Volume Analysis/Governing equations
          • 11.7.2: Dimensionless Representation
          • 11.7.3: The Entrance Limitation of Supersonic Branch
          • 11.7.4: Supersonic Branch
          • 11.7.5: Figures and Tables
          • 11.7.6: Isothermal Flow Examples
        • 11.7: Fanno Flow
          • 11.9.1: Introduction
          • 11.7.5
            • 11.7.5.1: Maximum Length for the Supersonic Flow
          • 11.7.6: Working Conditions
            • 11.7.6.1: Variations of The Tube Length (\(ld\)) Effects
            • 11.7.6.2: Fanno Flow Supersonic Branch
          • 11.7.7
            • 11.7.7.1: Choking explanation for pressure variation/reduction
          • 11.7.9: The Practical Questions and Examples of Subsonic branch
          • 11.7.11: Subsonic Fanno Flow for a Given \(M_1\) and Pressure Ratio
          • 11.7.12: More Examples of Fanno Flow
        • 11.8: The Table for Fanno Flow
        • 11.9: Rayleigh Flow
          • 11.9.1: Introduction
          • 11.9.2: Governing Equations
          • 11.9.3: Rayleigh Flow Tables and Figures
          • 11.9.4: Examples For Rayleigh Flow
      • 12: Compressible Flow 2–Dimensional
        • 12.1: Introduction
          • 12.1.1: Preface to Oblique Shock
            • 12.1.1.1: Introduction to Zero Inclination
        • 12.2: Oblique Shock
          • 12.2.1: Solution of Mach Angle
            • 12.2.1.1: Upstream Mach Number, \(M_1\), and Deflection Angle, \(\delta\)
          • 12.2.2: When No Oblique Shock Exist or the case of \(D>0\)
            • 12.2.2.1: Large deflection angle for given, \(M_1\)
            • 12.2.2.2: The case of \(D\geq 0\) or \(0 \geq\delta\)
            • 12.2.2.3: Upstream Mach Number, \(M_1\), and Shock Angle, \(\theta\)
            • 12.2.2.4: Given Two Angles, \(\delta\) and \(\theta\)
            • 12.2.2.5: Flow in a Semi–2D Shape
            • 12.2.2.6: Close and Far Views of the Oblique Shock
            • 12.2.2.7: Maximum Value of Oblique shock
            • 12.2.2.8: Oblique Shock Examples
          • 12.2.3: Application of Oblique Shock
        • 12.3: Prandtl-Meyer Function
          • 12.3.1: Introduction
          • 12.3.2: Geometrical Explanation
        • 12.4: The Maximum Turning Angle
        • 12.5: The Working Equations for the Prandtl-Meyer Function
        • 12.6: d'Alembert's Paradox
        • 12.7: Flat Body with an Angle of Attack
        • 12.8: Examples For Prandtl–Meyer Function
        • 12.9: Combination of the Oblique Shock and Isentropic Expansion
      • 13: Multi–Phase Flow
        • 13.1: Introduction
        • 13.2: History
        • 13.3: What to Expect From This Chapter
        • 13.4: Kind of Multi-Phase Flow
        • 13.5: Classification of Liquid-Liquid Flow Regimes
          • 13.5.1: Co–Current Flow
            • 13.5.1.1: Horizontal Flow
            • 13.5.1.2: Vertical Flow
            • 13.5.1.3: Vertical Flow Under Micro Gravity
        • 13.6: Multi–Phase Flow Variables Definitions
          • 13.6.1: Multi–Phase Averaged Variables Definitions
        • 13.7: Homogeneous Models
          • 13.7.1: Pressure Loss Components
            • 13.7.1.1: Friction Pressure Loss
            • 13.7.1.2: Acceleration Pressure Loss
            • 13.7.1.3: Gravity Pressure Loss
            • 13.7.1.4: Total Pressure Loss
          • 13.7.2: Lockhart Martinelli Model
        • 13.8: Solid–Liquid Flow
          • 13.8.1: Solid Particles with Heavier Density \(\rho_S>\rho_L\)
          • 13.8.2: Solid With Lighter Density \(\rho_S< \rho\) and With Gravity
        • 13.9: Counter–Current Flow
          • 13.9.1: Horizontal Counter–Current Flow
          • 13.9.2: Flooding and Reversal Flow
        • 13.10: Multi–Phase Conclusion
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
    • Book: Distillation Science (Coleman)
      • 1: Overview
      • 2: Vapor Pressure
      • 3: Critical Properties and Acentric Factor
      • 4: New Vapor Pressure Equation
      • 5: Equation of State
      • 6: Fugacity
      • 7: Liquid Activity Coefficients
      • 8: VLE Analysis Methods
      • 9: Putting It All Together
      • 10: Convergence Strategy
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
  • Computer Science
    • Book: Foundations of Computation (Critchlow & Eck)
      • 1: Logic and Proof
        • 1.10 Recursive Definitions
        • 1.1: Propositional Logic
        • 1.2: Boolen Algebra
        • 1.3: Application - Logic Circuits
        • 1.4:Predicates and Quantifiers
        • 1.5: Deduction
        • 1.6: Proof
        • Section1.9: Application: Recursion and Induction
        • Section 1.7: Proof by Contradiction
        • Section 1.8: Mathematical Induction
      • 2: Sets, Functions, and Relations
        • 2.1: Basic Concepts
        • 2.2: The Boolean Algebra of Sets
        • 2.3: Application: Programming with Sets
        • 2.4: Functions
        • 2.5: Application: Programming with Functions
        • 2.6: Counting Past Infinity
        • 2.7 Relations
        • 2.8 Application: Relational Databases
      • 3: Regular Expressions and FSA's
        • 3.1 Languages
        • 3.2 Regular Expressions
        • 3.3 Application: Using Regular Expressions
        • 3.4 Finite-State Automata
        • 3.5 Nondeterministic Finite-State Automata
        • 3.6 Finite-State Automata and Regular Lan- guages
        • 3.7 Non-regular Languages
      • 4: Grammars
        • 4.1 Context-free Grammars
        • 4.2 Application: BNF
        • 4.3 Parsing and Parse Trees
        • 4.4 Pushdown Automata
        • 4.5 Non-context-free Languages
        • 4.6 General Grammars
      • 5: Turing Machines and Computability
        • 5.1 Turing Machines
        • 5.2 Computability
        • 5.3 The Limits of Computation
        • Section 5:
        • Section 6:
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Back Matter
    • Book: Open Structures (Porin)
      • 1: Introduction
        • 1.1: The Need for Efficiency
        • 1.2: Interfaces
        • 1.3: Mathematical Background
        • 1.4: The Model of Computation
        • 1.5: Correctness, Time Complexity, and Space Complexity
        • 1.6: Code Samples
        • 1.7: List of Data Structures
        • 1.8: Discussion and Exercises
      • 2: Array-Based Lists
        • 2.1: ArrayStack - Fast Stack Operations Using an Array
        • 2.2: FastArrayStack - An Optimized ArrayStack
        • 2.3: ArrayQueue - An Array-Based Queue
        • 2.4: ArrayDeque - Fast Deque Operations Using an Array
        • 2.5: DualArrayDeque - Building a Deque from Two Stacks
        • 2.6: RootishArrayStack - A Space-Efficient Array Stack
        • 2.7: Discussion and Exercises
      • 3: Linked Lists
        • 3.1: SLList - A Singly-Linked List
        • 3.2: DLList - A Doubly-Linked List
        • 3.3: SEList - A Space-Efficient Linked List
        • 3.4: Discussion and Exercises
      • 4: Skiplists
        • 4.1: The Basic Structure
        • 4.2: SkiplistSSet - An Efficient SSet
        • 4.3: SkiplistList - An Efficient Random-Access List
        • 4.4: Analysis of Skiplists
        • 4.5: Discussion and Exercises
      • 5: Hash Tables
        • 5.1: ChainedHashTable - Hashing with Chaining
        • 5.2: LinearHashTable - Linear Probing
        • 5.3: Hash Codes
        • 5.4: Discussion and Exercises
      • 6: Binary Trees
        • 6.1: BinaryTree - A Basic Binary Tree
        • 6.2: BinarySearchTree - An Unbalanced Binary Search Tree
        • 6.3: Discussion and Exercises
      • 7: Random Binary Search Trees
        • 7.1: Random Binary Search Trees
        • 7.2: Treap - A Randomized Binary Search Tree
        • 7.3: Discussion and Exercises
      • 8: Scapegoat Trees
        • 8.1: ScapegoatTree - A Binary Search Tree with Partial Rebuilding
        • 8.2: Discussion and Exercises
      • 9: Red-Black Trees
        • 9.1: 2-4 Trees
        • 9.2: A Simulated 2-4 Tree
        • 9.3: Summary
        • 9.4: Discussion and Exercises
      • 10: Heaps
        • 10.1: BinaryHeap - An Implicit Binary Tree
        • 10.2: MeldableHeap - A Randomized Meldable Heap
        • 10.3: Discussion and Exercises
      • 11: Sorting Algorithms
        • 11.1: Comparison-Based Sorting
        • 11.2: Counting Sort and Radix Sort
        • 11.3: Discussion and Exercises
      • 12: Graphs
        • 12.1: Representing a Graph by a Matrix
        • 12.2: A Graph as a Collection of Lists
        • 12.3: Graph Traversal
        • 12.4: Discussion and Exercises
      • 13: Data Structures for Integers
        • 13.1: BinaryTrie - A digital search tree
        • 13.2: XFastTrie - Searching in Doubly-Logarithmic Time
        • 13.3: YFastTrie - A Doubly-Logarithmic Time SSet
        • 13.4: Discussion and Exercises
      • 14: External Memory Searching
        • 14.1: The Block Store
        • 14.2: B-Trees
        • 14.3: Discussion and Exercises
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
    • Book: An Introduction to Ontology Engineering (Keet)
      • 0: How to Use the Book
        • 0.1: Aims and Synopsis
        • 0.2: Content at a Glance
        • 0.3: Assessment
      • 1: Introduction to Ontology Engineering
        • 1.0: Prelude to Ontology Engineering
        • 1.1: What Does an Ontology Look Like?
        • 1.2: What is an Ontology?
        • 1.3: What is the Usefulness of an Ontology?
        • 1.4: Outline and Usage of the Book
        • 1.E: Introduction to Ontology Engineering (Exercises)
        • 1.S: Literature and Reference Material
      • 2: First Order Logic and Automated Reasoning in a Nutshell
        • 2.1: First Order Logic Syntax and Semantics
        • 2.2: Reasoning
        • 2.E: First Order Logic and Automated Reasoning in a Nutshell (Excercises)
        • 2.S: First Order Logic and Automated Reasoning in a Nutshell (Summary)
      • 3: Description Logics
        • 3.0: Prelude to Description Logics
        • 3.1: Description Logics Primer
        • 3.2: Important Description Logics
        • 3.3: Reasoning Services
        • 3.5: Literature and Reference Material
        • 3.E: Description Logics (Exercises)
      • 4: The Web Ontology Language OWL 2
        • 4.0: Prelude to the Web Ontology Language
        • 4.1: Standardizing an Ontology Language
        • 4.2: OWL 2
        • 4.3: OWL in Context
        • 4.E: The Web Ontology Language (Exercises)
        • 4.S: Literature and Reference Material
      • 5: Methods and Methodologies
        • 5.1: Methodologies for Ontology Development
        • 5.2: Methods to Improve an Ontology’s Quality
        • 5.3: Exercises
        • 5.4: Literature and Reference Material
      • 6: Top-Down Ontology Development
        • 6.0: Prelude to Top-Down Ontology Development
        • 6.1: Foundational Ontologies
        • 6.2: Part-Whole Relations
        • 6.3: Excercises
        • 6.4: Literature and Reference Material
      • 7: Bottom-up Ontology Development
        • 7.1: Relational Databases and Related ‘legacy’ KR
        • 7.2: From Spreadsheets to OWL
        • 7.3: Thesauri
        • 7.4: Text Processing to Extract Content for Ontologies
        • 7.5: Other Semi-Automated Approaches
        • 7.6: Ontology Design Patterns
        • 7.7: Exercises
        • 7.8: Literature and Reference Material
      • 8: Ontology-Based Data Access
        • 8.1: Introduction: Motivations
        • 8.2: OBDA Design Choices
        • 8.3: An OBDA Architecture
        • 8.4: Principal Components
        • 8.5: Exercises
        • 8.6: Literature and Reference Material
      • 9: Ontologies and Natural Languages
        • 9.1: Toward Multilingual Ontologies
        • 9.2: Ontology Verbalisation
        • 9.3: Exercises
        • 9.4: Literature and Reference Material
      • 10: Advanced Modeling with Additional Language Features
        • 10.1: Uncertainty and Vagueness
        • 10.2: Time and Temporal Ontologies
        • 10.3: Exercises
        • 10.4: Literature and Reference Material
      • 11: Bibliography
        • 11.1: Bibliography
        • 11.2: Books About Ontologies
        • 11.3: Selection of Journals that Publish Papers about Ontologies
        • 11.4: Selection of Conferences that Publish Papers about Ontologies
      • 12: Assignments
        • 12.1: Practical Assignment: Develop a Domain Ontology
        • 12.2: Project Assignment
      • 13: OWL 2 Profiles Features List
      • 14: Complexity Recap
      • 15: About the Author
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Back Matter
    • Book: A Brief Introduction to Engineering Computation with MATLAB (Beyenir)
      • 1: Acknowledgements
      • 2: Preface
      • 3: Study Guide
      • 4.1: What is MATLAB?
        • 4.2 Problem Set
      • 5.1: Essentials
        • 5.2 Problem Set
      • 6.1: Plotting in MATLAB
        • 6.2 Problem Set
      • 7.1: Writing Scripts to Solve Problems
        • 7.2 Problem Set
      • 8.1: Interpolation
        • 8.2 Problem Set
      • 9.1: Computing the Area Under a Curve
        • 9.2 Problem Set
      • 10.1: Regression Analysis
        • 10.2 Problem Set
      • 11: Publishing with MATLAB
        • 11.2 Problem Set
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
    • Book: Programming Fundamentals - A Modular Structured Approach using C++ (Busbee)
      • 1: Introduction, Preface and Syllabus
        • 1.1: Preface
        • 1.2: Author Acknowledgements
        • 1.3: Orientation and Syllabus
        • 1.4: Sharing/Rating Connexions Materials
      • 2: Introduction to Programming
        • 2.1: Systems Development Life Cycle
        • 2.2: Visual Studio Code IDE/MinGW C++ Compiler
        • 2.3: Modularization and C++ Program Layout
        • 2.4: Practice 1 Introduction to Programming
      • 3: Program Planning and Design
        • 3.1: Program Design
        • 3.2: Psuedocode
        • 3.3: Test Data
        • 3.4: Practice 2 Program Planning and Design
      • 4: Data and Operators
        • 4.1: Data Types in C++
        • 4.2: Identifier Names
        • 4.3: Constants and Variables
        • 4.4: Data Manipulation
        • 4.5: Assignment Operator
        • 4.6: Arithmetric Operators
        • 4.7: Data Type Conversions
        • 4.8: Practice 3 Data and Operators
      • 5: Often Used Data Types
        • 5.1: Integer Data Type
        • 5.2: Floating-Point Data Type
        • 5.3: String Data Type
        • 5.4: Arithmetic Assignment Operators
        • 5.5: L Value and R Value
        • 5.6: Interger Division and Modulus
        • 5.7: Practice 4 Often Used Data Types
      • 6: Integrated Development Environment
        • 6.1: Introduction to IDEs
        • 6.2: Standard Input and Output
        • 6.3: Compiler Directives
        • 6.4: Practice 5 Integrated Development Environment
      • 7: Program Control Functions
        • 7.1: Psuedocode Examples for Functions
        • 7.2: Hierarchy or Structure Chart
        • 7.3: Program Control Functions
        • 7.4: Void Data Type
        • 7.5: Documentation and Making Source Code Readable
        • 7.6: Practice 6 Program Control Functions
      • 8: Specific Task Functions
        • 8.1: Specific Task Functions
        • 8.2: Global vs Local Data Storage
        • 8.3: Using a Header File for User Defined Specific Task Functions
        • 8.4: Practice 7 Specific Task Functions
      • 9: Standard Libraries
        • 9.1: Standard Libraries
        • 9.2: Practice 8 Standard Libraries
      • 10: Character Data, Sizeof, Typedef, Sequence
        • 10.1: Character Data Type
        • 10.2: Sizeof Operator
        • 10.3: Typedef - An Alias
        • 10.4: Sequence Operator
        • 10.5: Practice 9 Character Data, Sizeof, Typedef, Sequence
      • 11: Introduction to Structured Programming
        • 11.1: Structure Programming
        • 11.2: Pseudocode Examples for Control Structures
        • 11.3: Flowcharting
        • 11.4: Practice 10 Introduction to Structure Programming
      • 12: Two Way Selection
        • 12.1: If Then Else
        • 12.2: Boolean Data Type
        • 12.3: Relational Operators
        • 12.4: Compound Statement
        • 12.5: Practice 11 Two Way Selection
      • 13: Multiway Selection
        • 13.1: Nested If Then Else
        • 13.2: Logical Operators
        • 13.3: Case Control Structure
        • 13.4: Branching Control Structures
        • 13.5: Practice 12 Multiway Selection
      • 14: Test After Loops
        • 14.1: Do While Loop
        • 14.2: Flag Concept
        • 14.3: Assignment vs Equality within C++
        • 14.4: Repeat Until Loop
        • 14.5: Practice 13 Test After Loops
      • 15: Test Before Loops
        • 15.1: Increment and Decrement Operators
        • 15.2: While Loop
        • 15.3: Practice 14 Test Before Loops
      • 16: Counting Loops
        • 16.1: For Loop
        • 16.2: Circular Nature of the Interger Data Type Family
        • 16.3: Formatting Output
        • 16.4: Nested For Loops
        • 16.5: Practice 15 Counting Loops
      • 17: String Class, Unary Positive and Negative
        • 17.1: String Class within C++
        • 17.2: Unary Positive and Negative Operators
        • 17.3: Practice 16 String Class, Unary Positive and Negative
      • 18: Conditional Operator and Recursion
        • 18.1: Conditional Operator
        • 18.2: Recursion vs Iteration
        • 18.3: Practice 17 Conditional Operator and Recursion
      • 19: Introduction to Arrays
        • 19.1: Array Data Type
        • 19.2: Array Index Operator
        • 19.3: Displaying Array Members
        • 19.4: Practice 18 Introduction to Arrays
      • 20: File I/O and Array Functions
        • 20.1: File Input and Output
        • 20.2: Arrays and Functions
        • 20.3: Loading an Array from a File
        • 20.4: Math Statistics with Arrays
        • 20.5: Practice 19 File I/O and Array Functions
      • 21: More Array Functions
        • 21.1: Finding a Specific Member of an Array
        • 21.2: Sorting an Array
        • 21.3: Practice 20 More Array Functions
      • 22: More on Typedef
        • 22.1: Versatile Code with Typedef
        • 22.2: Practice 21 More on Typedef
      • 23: Pointers
        • 23.1: Address Operator
        • 23.2: Parameter Passing by Reference
        • 23.3: Pointer Data Type
        • 23.4: Indirection Operator
        • 23.5: Practice 22 Pointers
      • 24: More Arrays and Compiler Directives
        • 24.1: Multidimensional Arrays
        • 24.2: Conditional Compilation
        • 24.3: Practice 23 More Arrays and Compiler Directives
      • 25: OOP and HPC
        • 25.1: Object Oriented Programming
        • 25.2: Understanding High Performance Computing
        • 25.3: Practice 24 OOP and HPC
      • 26: Review Materials
        • 26.1: Foundation Topics Group 1-5
        • 26.2: Modular Programming Group 6-9
        • 26.3: Structured Programming Group 10-16
        • 26.4: Intermediate Topics Group 17-21
        • 26.5: Advanced Topics Group 22-24
      • 27: Appendix
        • 27.1: Abbreviated Precedence Chart for C++ Operators
        • 27.2: C++ Reserved Keywords
        • 27.3: ASCII Character Set
        • 27.4: Show Hide File Extensions
        • 27.5: Academic or Scholastic Dishonesty
        • 27.6: Successful Learning Skills
        • 27.7: Study Habits that Build the Brain
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Back Matter
    • Book: Delftse Foundations of Computation
      • 1: Introduction
        • Introduction
      • 2: Logic
        • 2.1: Propositional Logic
          • 2.1.A Propositions
          • 2.1.B Logical operators
          • 2.1.C Precedence rules
          • 2.1.D Logical equivalence
          • 2.1.E More logical operaters
          • 2.1.F Implications in English
          • 2.1.G More forms of implication
          • 2.1.H Exclusive or
          • 2.1.I Universal operators
          • 2.1.J Classifying propositions
        • 2.2: Boolean Algebra
          • 2.2.A Basics of Boolean Algebra
          • 2.2.B Substitution laws
          • 2.2.C Simplifications
          • 2.2.D More rules of Boolean algebra
        • 2.3 Application: Logic Circuits
          • 2.3.A Logic gates
          • 2.3.B Combining gates to create circuits
          • 2.3.C From circuits to propositions
          • 2.3.D Disjunctive Normal Form
          • 2.3.E Binary addition
        • 2.4: Predicate Logic
          • 2.4.B Quantifiers
          • 2.4.C Operators
          • 2.4.D Tarski’s world and formal structures
          • 2.4.E Logical equivalence
          • 2.4A: Predicates
        • 2.5 Deduction
          • 2.5.B Valid arguments and proofs
          • 2.5.C Proofs in predicate logic
          • 2.5A: Arguments
        • Logic
      • 3: Proof
        • 3.1: A Little Historial Background
        • 3.2.C Examples
        • 3.2: Mathematical Proof
          • 3.2.A How to write a proof
          • 3.2.B Some terminology
        • 3.3: Proof by Contradiction
        • 3.4: Mathematical Induction
          • 3.4.A How to write a proof by induction
          • 3.4.B Examples
          • 3.4.C More examples
        • 3.5: Strong Mathematical Induction
        • 3.6: Application - Recursion and Induction
          • 3.6.A Recursive factorials
          • 3.6.B Towers of Hanoi
          • 3.6.C Binary trees
        • 3.7: Recursive Definitions
        • 3.8: Invariants
      • 4: Sets, Functions, and Relations
        • 4.1 Basic Concepts
          • 4.1.A Elements of sets
          • 4.1.B Set-builder notation
          • 4.1.C Operations on sets
          • 4.1.D Visualising sets
          • 4.1.E Sets of sets
          • 4.1.F Mathematical induction revisited
          • 4.1.G Structural Induction
        • 4.2 The Boolean Algebra of Sets
          • 4.2.A: Set Complement
          • 4.2.B Link between logic and set theory
        • 4.3 Application: Programming with Sets
          • 4.3.A Representing sets
          • 4.3.B Computing with sets
        • 4.4 Functions
          • 4.4.A Formalising the notion of functions
          • 4.4.B Operations on functions
          • 4.4.C Properties of functions
          • 4.4.D First-class objects
        • 4.5 Application: Programming with Functions
          • 4.5.A Functions as first-class objects
        • 4.6 Counting Past Infinity
          • 4.6.A Cardinality
          • 4.6.B Counting to infinity
          • 4.6.C Uncountable sets
          • 4.6.D A final note on infinities
        • 4.7 Relations
          • 4.7.A Properties of relations
          • 4.7.B Equivalence relations
        • 4.8 Application: Relational Databases
      • 5: Looking Beyond
        • Further Reading
        • Section 2:
        • Section 3:
        • Section 4:
        • Section 5:
        • Section 6:
    • Book: Programming Fundamentals (Busbee & Braunschweig)
      • 1: Introduction to Programming
        • 1.10: Hello World
        • 1.11: C++ Examples
        • 1.12: C# Examples
        • 1.13: Java Examples
        • 1.14: JavaScript Examples
        • 1.15: Python Examples
        • 1.16: Swift Examples
        • 1.17: Practice: Introduction to Programming
        • 1.1: Systems Development Life Cycle
        • 1.2: Program Design
        • 1.3: Program Quality
        • 1.4: Pseudocode
        • 1.5: Flowcharts
        • 1.6: Software Testing
        • 1.7: Integrated Development Environment
        • 1.8: Version Control
        • 1.9: Input and Output
      • 2: Data and Operators
        • 2.10: Assignment
        • 2.11: Arithmetic Operators
        • 2.12: Integer Division and Modulus
        • 2.13: Unary Operations
        • 2.14: Lvalue and Rvalue
        • 2.15: Data Type Conversions
        • 2.16: Input-Process-Output Model
        • 2.17: C++ Examples
        • 2.18: C# Examples
        • 2.19: Java Examples
        • 2.1: Constants and Variables
        • 2.20: JavaScript Examples
        • 2.21: Python Examples
        • 2.22: Swift Examples
        • 2.23: Practice: Data and Operators
        • 2.2: Identifier Names
        • 2.3: Data Types
        • 2.4: Integer Data Type
        • 2.5: Floating-Point Data Type
        • 2.6: String Data Type
        • 2.7: Boolean Data Type
        • 2.8: Nothing Data Type
        • 2.9: Order of Operations
      • 3: Functions
        • 3.10: Standard Libraries
        • 3.11: C++ Examples
        • 3.12: C# Examples
        • 3.13: Java Examples
        • 3.14: JavaScript Examples
        • 3.15: Python Examples
        • 3.16: Swift Examples
        • 3.17: Practice: Functions
        • 3.1: Modular Programming
        • 3.2: Hierarchy or Structure Chart
        • 3.3: Function Examples
        • 3.4: Parameters and Arguments
        • 3.5: Call by Value vs. Call by Reference
        • 3.6: Return Statement
        • 3.7: Void Data Type
        • 3.8: Scope
        • 3.9: Programming Style
      • 4: Conditions
        • 4.10: Condition Examples
        • 4.11: C++ Examples
        • 4.12: C# Examples
        • 4.13: Java Examples
        • 4.14: JavaScript Examples
        • 4.15: Python Examples
        • 4.16: Swift Examples
        • 4.17: Practice: Conditions
        • 4.1: Structured Programming
        • 4.2: Selection Control Structures
        • 4.3: If Then Else
        • 4.4: Code Blocks
        • 4.5: Relational Operators
        • 4.6: Assignment vs Equality
        • 4.7: Logical Operators
        • 4.8: Nested If Then Else
        • 4.9: Case Control Structure
      • 5: Loops
        • 5.10: Loop Examples
        • 5.11: C++ Examples
        • 5.12: C# Examples
        • 5.13: Java Examples
        • 5.14: JavaScript Examples
        • 5.15: Python Examples
        • 5.16: Swift Examples
        • 5.17: Practice: Loops
        • 5.1: Iteration Control Structures
        • 5.2: While Loop
        • 5.3: Do While Loop
        • 5.4: Flag Concept
        • 5.5: For Loop
        • 5.6: Branching Statements
        • 5.7: Increment and Decrement Operators
        • 5.8: Integer Overflow
        • 5.9: Nested For Loops
      • 6: Arrays and Lists
        • 6.10: Dynamic Arrays
        • 6.11: C++ Examples
        • 6.12: C# Examples
        • 6.13: Java Examples
        • 6.14: JavaScript Examples
        • 6.15: Python Examples
        • 6.16: Swift Examples
        • 6.17: Practice: Arrays and Lists
        • 6.1: Arrays and Lists
        • 6.2: Index Notation
        • 6.3: Displaying Array Members
        • 6.4: Arrays and Functions
        • 6.5: Math Statistics with Arrays
        • 6.6: Searching Arrays
        • 6.7: Sorting Arrays
        • 6.8: Parallel Arrays
        • 6.9: Multidimensional Arrays
      • 7: Strings and Files
        • 7.10: Python Examples
        • 7.11: Swift Examples
        • 7.12: Practice: Strings and Files
        • 7.1: Strings
        • 7.2: String Functions
        • 7.3: String Formatting
        • 7.4: File Input and Output
        • 7.5: Loading an Array from a Text File
        • 7.6: C++ Examples
        • 7.7: C# Examples
        • 7.8: Java Examples
        • 7.9: JavaScript Examples
      • 8: Object-Oriented Programming
        • 8.10: Practice
        • 8.1: Objects and Classes
        • 8.2: Encapsulation
        • 8.3: Inheritance and Polymorphism
        • 8.4: C++ Examples
        • 8.5: C# Examples
        • 8.6: Java Examples
        • 8.7: JavaScript Examples
        • 8.8: Python Examples
        • 8.9: Swift Examples
      • Back Matter
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
    • Book: Python for Everybody (Severance)
      • 1: Introduction
        • 1.1: Why should you learn to write programs?
        • 1.2: Creativity and Motivation
        • 1.3: Computer Hardware Architecture
        • 1.4: Understanding Programming
        • 1.5: Words and Sentences
        • 1.6: Conversing with Python
        • 1.7: Terminology - Interpreter and Compiler
        • 1.8: Writing a Program
        • 1.9: What is a program?
        • 1.10: The Building Blocks of Programs
        • 1.11: What could possibly go wrong?
        • 1.12: The Learning Journey
        • 1.E: Introduction (Exercises)
        • 1.G: Introduction (Glossary)
      • 2: Variables, Expressions, and Statements
        • 2.1: Values and Types
        • 2.2: Variables
        • 2.3: Variable names and Keywords
        • 2.4: Statements
        • 2.5: Operators and Operands
        • 2.6: Expressions
        • 2.7: Order of Operations
        • 2.8: Modulus Operator
        • 2.9: String Operations
        • 2.10: Asking the user for input
        • 2.11: Comments
        • 2.12: Choosing Mnemonic Variable Names
        • 2.13: Debugging
        • 2.E: Variables, Expressions, and Statements (Exercises)
        • 2.G: Glossary
      • 3: Conditional Execution
        • 3.1: Boolean Expressions
        • 3.2: Logical Operators
        • 3.3: Conditional Execution
        • 3.4: Alternative Execution
        • 3.5: Chained Conditionals
        • 3.6: Nested Conditionals
        • 3.7: Catching exceptions Using Try and Except
        • 3.8: Short-Circuit Evaluation of Logical Expressions
        • 3.9: Debugging
        • 3.E: Conditional Execution (Exercises)
        • 3.G: Conditional Execution (Glossary)
      • 4: Functions
        • 4.1: Function Calls
        • 4.2: Built-in Functions
        • 4.3: Type Conversion Functions
        • 4.4: Random Numbers
        • 4.5: Math Functions
        • 4.6: Adding New Functions
        • 4.7: Definitions and Uses
        • 4.8: Flow of Execution
        • 4.9: Parameters and Arguments
        • 4.10: Fruitful functions and void functions
        • 4.11: Why functions?
        • 4.12: Debugging
        • 4.E: Functions (Exercises)
        • 4.G: Functions (Glossary)
      • 5: Iterations
        • 5.1: Updating Variables
        • 5.2: The while Statement
        • 5.3: Infinite Loops
        • 5.4: "Infinite loops" and break
        • 5.5: Finishing iterations with continue
        • 5.6: Definite loops using for
        • 5.7: Loop patterns
        • 5.8: Counting and Summing Loops
        • 5.9: Maximum and Minimum Loops
        • 5.10: Debugging
        • 5.E: Iterations (Exercises)
        • 5.G: Iterations (Glossary)
      • 6: Strings
        • 6.1: A string is a sequence
        • 6.2: Getting the length of a string using len
        • 6.3: Traversal through a string with a loop
        • 6.4: String Slices
        • 6.5: Strings are immutable
        • 6.6: Looping and Counting
        • 6.7: The in operator
        • 6.8: String Comparison
        • 6.9: String Methods
        • 6.10: Parsing strings
        • 6.11: Format operator
        • 6.12: Debugging
        • 6.E: Strings (Exercises)
        • 6.G: Strings (Glossary)
      • 7: Files
        • 7.1: Persistence
        • 7.2: Opening Files
        • 7.3: Text files and Lines
        • 7.4: Reading Files
        • 7.5: Searching through a File
        • 7.6: Letting the user choose the file name
        • 7.7: Using try, except, and open
        • 7.8: Writing Files
        • 7.9: Debugging
        • 7.E: Files (Exercises)
        • 7.G: Files (Glossary)
      • 8: Lists
        • 8.1: A list is a sequence
        • 8.2: Lists are mutable
        • 8.3: Traversing a List
        • 8.4: List operations
        • 8.5: List Slices
        • 8.6: List Methods
        • 8.7: Deleting Elements
        • 8.8: Lists and Functions
        • 8.9: Lists and Strings
        • 8.10: Parsing lines
        • 8.11: Objects and Values
        • 8.12: Aliasing
        • 8.13: List arguments
        • 8.14: Debugging
        • 8.E: Lists (Exercises)
        • 8.G: Lists (Glossary)
      • 9: Dictionaries
        • 9.1: Dictionaries
        • 9.2: Dictionary as a Set of Counters
        • 9.3: Dictionaries and Files
        • 9.4: Looping and Dictionaries
        • 9.5: Advanced Text Parsing
        • 9.6: Debugging
        • 9.E: Dictionaries (Exercises)
        • 9.G: Dictionaries (Glossary)
      • 10: Tuples
        • 10.1: Tuples are Immutable
        • 10.2: Comparing Tuples
        • 10.3: Tuple Assignment
        • 10.4: Dictionaries and Tuples
        • 10.5: Multiple assignment with dictionaries
        • 10.6: The most common words
        • 10.7: Using Tuples as Keys in Dictionaries
        • 10.8: Sequences: strings, lists, and tuples - Oh My!
        • 10.9: Debugging
        • 10.E: Tuples (Exercises)
        • 10.G: Tuples (Glossary)
      • 11: Regular Expressions
        • 11.1: Regular Expressions
        • 11.2: Character matching in regular expressions
        • 11.3: Extracting data using regular expressions
        • 11.4: Combining searching and extracting
        • 11.5: Escape Character
        • 11.6: Bonus section for Unix / Linux users
        • 11.7: Debugging
        • 11.E: Regular Expressions (Exercises)
        • 11.G: Regular Expressions (Glossary)
        • 11.S: Regular Expressions (Summary)
      • 12: Networked Programs
        • 12.1: HyperText Transfer Protocol - HTTP
        • 12.2: The World's Simplest Web Browser
        • 12.3: Retrieving an image over HTTP
        • 12.4: Retrieving web pages with urllib
        • 12.5: Parsing HTML and scraping the web
        • 12.6: Parsing HTML using regular expressions
        • 12.7: Parsing HTML using BeautifulSoup
        • 12.8: Reading binary files using urllib
        • 12.E: Networked Programs (Exercises)
        • 12.G: Networked Programs (Glossary)
      • 13: Python and Web Services
        • 13.1: eXtensible Markup Language - XML
        • 13.2: Looping through Nodes
        • 13.3: JavaScript Object Notation - JSON
        • 13.4: Parsing JSON
        • 13.5: Application Programming Interfaces
        • 13.6: Google geocoding web service
        • 13.7: Security and API usage
        • 13.E: Python and Web Services (Exercises)
        • 13.G: Python and Web Services (Glossary)
      • 14: Object-Oriented Programming
        • 14.1: Managing Larger Programs
        • 14.2: Getting Started
        • 14.3: Using Objects
        • 14.4: Starting with Programs
        • 14.5: Subdividing a Problem - Encapsulation
        • 14.6: Our First Python Object
        • 14.7: Classes as Types
        • 14.8: Many Instances
        • 14.8: Object Lifecycle
        • 14.9: Inheritance
        • 14.G: Object-Oriented Programming (Glossary)
        • 14.S: Object-Oriented Programming (Summary)
      • 15: Using Databases and SQL
        • 15.1: What is a database?
        • 15.2: Database Concepts
        • 15.3: Database Browser for SQLite
        • 15.4: Creating a database table
        • 15.5: Structured Query Language summary
        • 15.6: Spidering Twitter using a database
        • 15.7: Basic data modeling
        • 15.8: Programming with Multiple Tables
        • 15.9: Constraints in Database Tables
        • 15.10: Retrieve and/or insert a record
        • 15.11: Storing the friend relationship
        • 15.12: Three Kinds of Keys
        • 15.13: Using JOIN to retrieve data
        • 15.14: Degugging
        • 15.G: Using Databases and SQL (Glossary)
        • 15.S: Using Databases and SQL (Summary)
      • 16: Visualizing data
        • 16.1: Building a Google map from geocoded data
        • 16.2: Visualizing Networks and Interconnections
        • 16.3: Visualizing mail data
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Back Matter
    • Book: Web Development and Programming (Mendez)
      • 1: Web Development
        • 1.1: Brief History of the Internet
        • 1.2: Current Trends
        • 1.3: Web Servers
        • 1.4: Network Basics
        • 1.5: Website Design
        • 1.6: Development
        • 1.E: Web Development (Exercises)
      • 2: Document Makeup
        • 2.1: Markup Languages
        • 2.2: Creating HTML Files
        • 2.3: Page Layout
        • 2.4: Text Layout
        • 2.5: Navigation
        • 2.6: Graphics
        • 2.7: Tables
        • 2.8: Forms
        • 2.9: Canvas
        • 2.10: Media Support
        • 2.11: Mobile Device Support
        • 2.12: Tags to Avoid
        • 2.13: Rule Structure
        • 2.14: Layout Formatting
          • 2.14.6: Positioning Demonstration
        • 2.15: Font and Text Decoration
        • 2.16: Responsive Styling
        • 2.E: Document Makeup (Exercise)
      • 3: Scripting Language
        • 3.1: Server-Side and Client-Side Scripting
        • 3.2: Creating PHP Files
        • 3.3: PHP Errors
        • 3.4: PHP Output
        • 3.5: Data Storage
        • 3.6: Data Manipulation
        • 3.7: Email
        • 3.8: File Interaction
        • 3.9: Structures
        • 3.10: Functions
        • 3.11: JavaScript Syntax
        • 3.12: JavaScript Examples
        • 3.13: jQuery
        • 3.E: Scripting Language (Exercises)
      • 4: Persistent Data Storage
        • 4.1: Database Types
        • 4.2: Data Relationships
        • 4.3: MySQL Data Types
        • 4.4: Normalization
        • 4.5: MySQL CRUD Actions
        • 4.6: Advanced Queries
        • 4.E: Persistent Data Storage (Exercises)
      • 5: Tying it Together
        • 5.1: Security
        • 5.2: Integration Examples
        • 5.3: Finishing Touches
        • 5.4: Now What?
      • Glossary of Terms
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Back Matter
    • Book: Database Design (Watt and Eng)
      • About the Authors
      • About the Book
      • Acknowledgements
      • Appendix A University Registration Data Model Example
      • Appendix B Sample ERD Exercises
      • Appendix C SQL Lab with Solution
      • Back Matter
      • Chapter 10 ER Modelling
      • Chapter 11 Functional Dependencies
      • Chapter 12 Normalization
      • Chapter 13 Database Development Process
      • Chapter 14 Database Users
      • Chapter 15 SQL Structured Query Language
      • Chapter 16 SQL Data Manipulation Language
      • Chapter 1 Before the Advent of Database Systems
      • Chapter 2 Fundamental Concepts
      • Chapter 3 Characteristics and Benefits of a Database
      • Chapter 4 Types of Data Models
      • Chapter 5 Data Modelling
      • Chapter 6 Classification of Database Management Systems
      • Chapter 7 The Relational Data Model
      • Chapter 8 The Entity Relationship Data Model
      • Chapter 9 Integrity Rules and Constraints
      • Copyright
      • Cover
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Preface
      • Table Of Contents
    • Book: Information Systems for Business and Beyond (Bourgeois)
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Unit 1: What Is an Information System?
        • 1: What Is an Information System?
        • 2: Hardware
        • 3: Software
        • 4: Data and Databases
        • 5: Networking and Communication
        • 6: Information Systems Security
      • Unit 2: Information Systems for Strategic Advantage
        • 7: Does IT Matter?
        • 8: Business Processes
        • 9: The People in Information Systems
        • 10: Information Systems Development
      • Unit 3: Information Systems Beyond the Organization
        • 11: Globalization and the Digital Divide
        • 12: The Ethical and Legal Implications of Information Systems
        • 13: Future Trends in Information Systems
      • Back Matter
    • Book: An Introduction to Computer Networks (Dordal)
      • Front Matter
        • Preface
      • 1: An Overview of Networks
        • 1.1: Layers
        • 1.2: Data Rate, Throughput and Bandwidth
        • 1.3: Packets
        • 1.4: Datagram Forwarding
        • 1.5: Topology
        • 1.6: Routing Loops
        • 1.7: Congestion
        • 1.8: Packets Again
        • 1.9: LANs and Ethernet
        • 1.10: IP - Internet Protocol
        • 1.11: DNS
        • 1.12: Transport
        • 1.13: Firewalls
        • 1.14: Some Useful Utilities
        • 1.15: IETF and OSI
        • 1.16: Berkeley Unix
        • 1.E: An Overview of Networks (Exercises)
      • 2: Ethernet
        • 2.0: Prelude to Ethernet
        • 2.1: 10-Mbps Classic Ethernet
        • 2.2: 100 Mbps (Fast) Ethernet
        • 2.3: Gigabit Ethernet
        • 2.4: Ethernet Switches
        • 2.5: Spanning Tree Algorithm and Redundancy
        • 2.6: Virtual LAN (VLAN)
        • 2.7: TRILL and SPB
        • 2.8: Software-Defined Networking
        • 2.E: Ethernet (Exercises)
      • 3: Other LANs
        • 3.1: Virtual Private Networks
        • 3.2: Carrier Ethernet
        • 3.3: Token Ring
        • 3.4: Virtual Circuits
        • 3.5: Asynchronous Transfer Mode - ATM
        • 3.6: Adventures in Radioland
        • 3.7: Wi-Fi
        • 3.8: WiMAX and LTE
        • 3.9: Fixed Wireless
        • 3.11: Epilog and Exercises
      • 4: Links
        • 4.1: Encoding and Framing
        • 4.2: Time-Division Multiplexing
        • 4.E: Links (Exercises)
      • 5: Packets
      • 6: Abstract Sliding Windows
        • 6.1: Building Reliable Transport - Stop-and-Wait
        • 6.2: Sliding Windows
        • 6.3: Linear Bottlenecks
        • 6.4: Epilog and Exercises
      • 7: IP version 4
        • 7.0: Prelude to IP version 4
        • 7.1: The IPv4 Header
        • 7.2: Interfaces
        • 7.3: Special Addresses
        • 7.4: Fragmentation
        • 7.5: The Classless IP Delivery Algorithm
        • 7.6: IPv4 Subnets
        • 7.7: Network Address Translation
        • 7.8: DNS
        • 7.9: Address Resolution Protocol - ARP
        • 7.10: Dynamic Host Configuration Protocol (DHCP)
        • 7.11: Internet Control Message Protocol
        • 7.12: Unnumbered Interfaces
        • 7.13: Mobile IP
        • 7.14: Epilog and Exercises
      • 8: IP version 6
        • 8.0: Prelude to IP version 6
        • 8.1: The IPv6 Header
        • 8.2: IPv6 Addresses
        • 8.3: Network Prefixes
        • 8.4: IPv6 Multicast
        • 8.5: IPv6 Extension Headers
        • 8.6: Neighbor Discovery
        • 8.7: IPv6 Host Address Assignment
        • 8.8: Globally Exposed Addresses
        • 8.9: ICMPv6
        • 8.10: IPv6 Subnets
        • 8.11: Using IPv6 and IPv4 Together
        • 8.12: IPv6 Examples Without a Router
        • 8.13: IPv6 Connectivity via Tunneling
        • 8.14: IPv6-to-IPv4 Connectivity
        • 8.15: Epilog and Exercises
      • 9: Routing-Update Algorithms
        • 9.0: Prelude to Routing-Update Algorithms
        • 9.1: Distance-Vector Routing-Update Algorithm
        • 9.2: Distance-Vector Slow-Convergence Problem
        • 9.3: Observations on Minimizing Route Cost
        • 9.4: Loop-Free Distance Vector Algorithms
        • 9.5: Link-State Routing-Update Algorithm
        • 9.6: Routing on Other Attributes
        • 9.7: ECMP
        • 9.8: Epilog and Exercises
      • 10: Large-Scale IP Routing
        • 10.1: Classless Internet Domain Routing - CIDR
        • 10.2: Hierarchical Routing
        • 10.3: Legacy Routing
        • 10.4: Provider-Based Routing
        • 10.5: Geographical Routing
        • 10.6: Border Gateway Protocol, BGP
        • 10.7: Epilog and Exercises
      • 11: UDP Transport
      • 12: TCP Transport
      • 13: TCP Reno and Congestion Management
      • 14: Dynamics of TCP
      • 15: Newer TCP Implementations
      • 16: Network Simulations - ns-2
      • 17: The ns-3 Network Simulator
      • 18: Mininet
      • 19: Queuing and Scheduling
      • 20: Quality of Service
      • 21: Network Management and SNMP
      • 22: Security
      • 24: Selected Solutions
      • Back Matter
        • Bibliography
        • Index
  • Civil Engineering
    • Book: Introduction to Design Equity (Miller)
      • 1: Introduction
      • 2: Learning to Talk about Racism
      • 3: Why History Matters to Design Equity
      • 4: Health Equity and the Built Environment
      • 5: Transportation Equity
      • 6: Information Equity
      • 7: What is Design Thinking and What does it have to do with Equity?
      • 8: Discipline-Specific Professional Design Processes and Equity
      • Acknowledgements and Dedication
      • Back Matter
      • Copyright
      • Front Matter
        • TitlePage
        • InfoPage
        • Table of Contents
      • Title Page
  • Electrical Engineering
    • Book: Electrical Engineering (Johnson)
      • 1: Introduction to Electrical Engineering
        • 1.1: Themes
        • 1.2: Signals Represent Information
        • 1.3: Structure of Communication Systems
        • 1.4: The Fundamental Signal
        • 1.5: Introduction Problems
      • 2: Signals and Systems
        • 2.1: Complex Numbers
        • 2.2: Elemental Signals
        • 2.3: Signal Decomposition
        • 2.4: Discrete-Time Signals
        • 2.5: Introduction to Systems
        • 2.6: Simple Systems
        • 2.7: Signals and Systems Problems
      • 3: Analog Signal Processing
        • 3.1: Voltage, Current, and Generic Circuit Elements
        • 3.2: Ideal Circuit Elements
        • 3.3: Ideal and Real-World Circuit Elements
        • 3.4: Electric Circuits and Interconnection Laws
        • 3.5: Power Dissipation in Resistor Circuits
        • 3.6: Series and Parallel Circuits
        • 3.7: Equivalent Circuits - Resistors and Sources
        • 3.8: Circuits with Capacitors and Inductors
        • 3.9: The Impedance Concept
        • 3.10: Time and Frequency Domains
        • 3.11: Power in the Frequency Domain
        • 3.12: Equivalent Circuits - Impedances and Sources
        • 3.13: Transfer Functions
        • 3.14: Designing Transfer Functions
        • 3.15: Formal Circuit Methods - Node Method
        • 3.16: Power Conservation in Circuits
        • 3.17: Electronics
        • 3.18: Dependent Sources
        • 3.19: Operational Amplifiers
        • 3.20: The Diode
        • 3.21: Analog Signal Processing Problems
      • 4: Frequency Domain
        • 4.1: Introduction to the Frequency Domain
        • 4.2: Complex Fourier Series
        • 4.3: Classic Fourier Series
        • 4.4: A Signal's Spectrum
        • 4.5: Fourier Series Approximation of Signals
        • 4.6: Encoding Information in the Frequency Domain
        • 4.7: Filtering Periodic Signals
        • 4.8: Derivation of the Fourier Transform
        • 4.9: Linear Time Invariant Systems
        • 4.10: Modeling the Speech Signal
        • 4.11: Frequency Domain Problems
      • 5: Digital Signal Processing
        • 5.1: Introduction to Digital Signal Processing
        • 5.2: Introduction to Computer Organization
        • 5.3: The Sampling Theorem
        • 5.4: Amplitude Quantization
        • 5.5: Discrete -Time Signals and Systems
        • 5.6: Discrete -Time Fourier Transform (DTFT)
        • 5.7: Discrete Fourier Transforms (DFT)
        • 5.8: DFT - Computational Complexity
        • 5.9: Fast Fourier Transform (FFT)
        • 5.10: Spectrograms
        • 5.11: Discrete -Time Systems
        • 5.12: Discrete -Time Systems in the Time-Domain
        • 5.13: Discrete -Time Systems in the Frequency Domain
        • 5.14: Filtering in the Frequency Domain
        • 5.15: Efficiency of Frequency - Domain Filtering
        • 5.16: Discrete -Time Filtering of Analog Signals
        • 5.17: Digital Signal Processing Problems
      • 6: Information Communication
        • 6.1: Information Communication
        • 6.2: Types of Communication Channels
        • 6.3: Wireline Channels
        • 6.4: Wireless Channels
        • 6.5: Line-of-Sight Transmission
        • 6.6: The Ionosphere and Communications
        • 6.7: Communication with Satellites
        • 6.8: Noise and Interference
        • 6.9: Channel Models
        • 6.10: Baseband Communication
        • 6.11: Modulated Communication
        • 6.12: Signal-to-Noise Ratio of an Amplitude-Modulated Signal
        • 6.13: Digital Communication
        • 6.14: Binary Phase Shift Keying
        • 6.15: Frequency Shift Keying
        • 6.16: Digital Communication Receivers
        • 6.17: Digital Communication in the Presence of Noise
        • 6.18: Digital Communication System Properties
        • 6.19: Digital Channels
        • 6.20: Entropy
        • 6.21: Source Coding Theorem
        • 6.22: Compression and the Huffman Code
        • 6.23: Subtlies of Coding
        • 6.24: Channel Coding
        • 6.25: Repetition Codes
        • 6.26: Block Channel Coding
        • 6.27: Error-Correcting Codes - Hamming Distance
        • 6.28: Error-Correcting Codes - Channel Decoding
        • 6.29: Error-Correcting Codes - Hamming Codes
        • 6.30: Noisy Channel Coding Theorem
        • 6.31: Capacity of a Channel
        • 6.32: Comparison of Analog and Digital Communication
        • 6.33: Communication Networks
        • 6.34: Message Routing
        • 6.35: Network architectures and interconnection
        • 6.36: Ethernet
        • 6.37: Communication Protocols
        • 6.38: Information Communication Problems
      • 7: Appendix
        • 7.1: Decibels
        • 7.2: Permutations and Combinations
        • 7.3: Frequency Allocations
        • 7.4: Parseval's Theorem
        • 7.5: Fourier Transform Properties
      • Front Matter
        • Table of Contents
    • Book: Fast Fourier Transforms (Burrus)
      • 1: Fast Fourier Transforms
        • Introduction
      • 2: Multidimensional Index Mapping
        • 2.1: Introduction
        • 2.2: The Index Map
        • 2.3: In-Place Calculation of the DFT and Scrambling
        • 2.4: Efficiencies Resulting from Index Mapping with the DFT
        • 2.5: The FFT as a Recursive Evaluation of the DFT
      • 3: Polynomial Description of Signals
        • 3.1: Introduction
        • 3.2: Polynomial Reduction and the Chinese Remainder Theorem
        • 3.3: The DFT as a Polynomial Evaluation
      • 4: The DFT as Convolution or Filtering
        • 4.1: Introduction
        • 4.2: Rader's Conversion of the DFT into Convolution
        • 4.3: The Chirp Z-Transform or Bluestein's Algorithm
        • 4.4: Goertzel's Algorithm or A Better DFT Algorithm
        • 4.5: The Quick Fourier Transform (QFT)
      • 5: Factoring the Signal Processing Operators
        • 5.1: Introduction
        • 5.2: The FFT from Factoring the DFT Operator
        • 5.3: Algebraic Theory of Signal Processing Algorithms
      • 6: Winograd's Short DFT Algorithms
        • 6.1: Introduction
        • 6.2: Winograd Fourier Transform Algorithm (WFTA)
        • 6.3: The Bilinear Structure
        • 6.4: Winograd's Complexity Theorems
        • 6.5: The Automatic Generation of Winograd's Short DFTs
      • 7: DFT and FFT - An Algebraic View
        • 7.1: Introduction
        • 7.2: Polynomial Algebras and the DFT
        • 7.3: Algebraic Derivation of the Cooley-Tukey FFT
        • 7.4: Discussion and Further Reading
      • 8: The Cooley-Tukey Fast Fourier Transform Algorithm
        • 8.1: Introduction
        • 8.2: Basic Cooley-Tukey FFT
        • 8.3: Modifications to the Basic Cooley-Tukey FFT
        • 8.4: The Split-Radix FFT Algorithm
        • 8.5: Evaluation of the Cooley-Tukey FFT Algorithms