https://github.com/rootkit-org/basic-math

https://github.com/rootkit-org/basic-math

Last synced: 7 months ago
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• Host: GitHub
• URL: https://github.com/rootkit-org/basic-math
• Owner: RootKit-Org
• License: gpl-3.0
• Created: 2022-01-01T23:21:06.000Z (about 4 years ago)
• Default Branch: main
• Last Pushed: 2022-12-28T21:27:11.000Z (about 3 years ago)
• Last Synced: 2025-03-04T14:47:47.895Z (10 months ago)
• Size: 18.6 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# Basic Math

You **DO NOT** need to be a math whiz to be an amazing programmer. A good

understanding of Discrete Structures and Logic is almost all the math you need.

Being a programmer is more of a mindset then anything else. If you have a basic

understanding of pre-algebra, then these tasks shouldn't be to difficult. If

you have any questions, please feel free to reach out to us.

### 1. Sets and Relations

  * Universal Set

  * Subset

  * Proper Subset

  * Union

  * Intersection

  * Absolute Complement

  * Relative Complement

  * Symmetric Difference

  * Performing Set Math

  * Cartesian Product

  * Power Set

  * Relations

  * Reflexive

  * Irreflexive

  * Symmetric

  * Asymmetric

  * Transitive

### 2. Sum Rule

### 3. Product Rule

### 4. Pigeonhole Principle

### 5. Basic Logic

  * Proposition

  * Compound Proposition

  * Conjunction

  * Disjunction

  * Negation

  * Symmetric Difference

  * Conditional

  * Bi-Conditional

  * Truth Tables

  * Tautologies

  * Contradiction

  * Contrapositive

  * Converse

  * Inverse

  * Logical Equivalency

  * Validity of Propositional Logic

  * Syllogism

  * Rules of Inference

  * Modus Ponens

  * Modus Tollens

  * Generalization

  * Specialization

  * Elimination

  * Transitivity

  * Division into Cases

  * Fallacy

  * Converse Error

  * Inverse Error

### 6. Proof Techniques

  * Direct Proof

  * Proof by Contradiction

### 7. Logical Fallacies and Biases

  * Biases in computer science

### 8. Computer Data

  * Integer

  * Floating Point

  * Base 10

  * Base 16

  * Base 8

  * Base 2

  * Convert any Base to another Base

  * Addition and Subtraction with Signed Integers

  * Addition and Subtraction with Unsigned Integers

  * Decimal

  * Hexadecimal

  * Octal

  * Binary

  * Bit

  * Nibble

  * Byte

  * Word

  * Double Word

  * Quad Word

  * Ascii

  * Unicode

  * Integer Overflow

  * Floating Point Layout