Computer Graphics Algorithms and Display Technologies

Drawing Circles with the Mid-Point Algorithm

The Mid-point Circle Drawing Algorithm is a technique used to draw a circle using simple arithmetic operations like addition and subtraction. It avoids complex mathematical calculations such as square roots or trigonometric functions. The main idea is to start at the top point of the circle and move pixel by pixel to draw 1/8th (octant) of the circle. Then, using symmetry, the remaining seven parts of the circle are drawn by mirroring that part.

At each

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Python Data Structures: Dictionaries, Strings, and Functions

Python Data Structures Fundamentals

Dictionaries: Key-Value Storage

A Python dictionary is a collection of key-value pairs used to store data in an unordered, mutable structure. You create a dictionary using curly braces {} with key-value pairs, for example: my_dict = {"name": "Alice", "age": 25}. You can also use the dict() constructor to create dictionaries.

Accessing values is done by referring to their keys: my_dict["name"] returns “Alice”.

Adding, Updating, and Removing Items

You add or update items

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Flip-Flops, Registers, and Sequential Circuit Fundamentals

Flip-Flops: Basic Sequential Data Storage

A Flip-Flop is a basic sequential circuit used to store one bit of data (0 or 1). Unlike combinational circuits, the output of a flip-flop depends on:

  • Present input
  • Previous output (memory)
  • Clock signal

Flip-flops are the building blocks of registers, counters, and memory units.

1. RS (Set-Reset) Flip-Flop

The RS flip-flop has two inputs: S (Set) and R (Reset).

Working Principle

  • S = 1 → Output is set to 1
  • R = 1 → Output is reset to 0
  • S = R = 0 → No change
  • S =
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PHP Fundamentals: Control Flow, Arrays, and Functions

Core PHP Concepts

Control Statements

Control statements manage the flow of execution based on conditions or repetitions.

Conditional Statements

  • if...else: Executes code if a condition is true.
  • switch: Selects one of many code blocks to be executed based on a variable’s value.

Looping Statements

  • for: Used when the number of iterations is known.
  • while: Repeats execution as long as a specified condition remains true.
  • foreach: Specifically designed to iterate through arrays.

File Handling Operations

PHP allows

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Essential Linux Commands, User Roles, and Process States

Common Linux Commands and Utilities

The commands listed below are a mix of standard Unix/Linux utilities and internal shell commands. Below is the syntax and purpose for the most common interpretations in a Linux environment.

1. stat (st) 📊

The command st is not a standard standalone utility, but it is often used as a shortcut or abbreviation for the stat command.

  • Syntax (using stat): stat [OPTION]... FILE...
  • Purpose: The stat command displays detailed information about a file or file system. This
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Essential Computer Fundamentals and Software Systems

Evolution of Computer Generations

The history of computing is categorized into generations, defined by the fundamental electronic technology used. This evolution has led to continuous improvements in speed, size, cost, and efficiency.

GenerationApproximate PeriodCore TechnologyKey FeaturesExamples
First1940 – 1956Vacuum TubesEnormous size, very slow, high heat output, used Machine Language.ENIAC, UNIVAC I
Second1956 – 1963TransistorsSmaller, faster, more reliable, used Assembly Language and early High-
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