haydn/ulm

Universal Language for Mathematics

A language for describing mathematical expressions.

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Overview

Universal Language for Mathematics (ULM) is a language for describing both the semantics and presentation of mathematical expressions.

⚠️ WIP ⚠️

A ULM AST might look something like this:

type: root
value:
  type: multiply
  left:
    type: int
    value: 4
  right:
    type: int
    value: 7

Which might be presented like this:

4 × 7

We could also layer on some information to explicitly define how it should be presented:

type: root
value:
  type: multiply
  style: dot
  left:
    type: int
    value: 4
  right:
    type: int
    value: 7

Which might be presented like this:

4 • 7

Alternatively, it could be presented in words:

four multiplied by seven

It could even present in another language:

cuatro multiplicados por siete

It might even be presented graphically:

🦄🦄🦄🦄
🦄🦄🦄🦄
🦄🦄🦄🦄
🦄🦄🦄🦄
🦄🦄🦄🦄
🦄🦄🦄🦄
🦄🦄🦄🦄