Transformations/Operations/Operators/Mappings/Maps/Functions/Morphisms (𝑇𝑥, 𝑓: 𝑋→𝑌, 𝑓(𝑥))
  • is a function 𝑓 that maps a set 𝑋 to another set 𝑌 (𝑋 and 𝑌 can be the same set)

Transformations - Syntax

  • 𝑓: 𝑋 → 𝑌
  • 𝑓(𝑥) takes an element 𝑥∊𝑋 as input and outputs an element 𝑦∊𝑌
  • 𝑇𝑥 takes an element 𝑥∊𝑋 as input and outputs an element 𝑦∊𝑌

Transformations - Properties/Types

see: Types

Transformations - Visualization

see: Visualizations

Resources