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46 changes: 46 additions & 0 deletions README.md
Original file line number Diff line number Diff line change
Expand Up @@ -82,6 +82,51 @@ console.log(result.normalized); // [0.1, 0.2, 0.3, 0.4]

See [YOUNG_FIELD.md](YOUNG_FIELD.md) for complete documentation and examples.

### Young Discrete Mathematics Usage

```javascript
const {
YoungDiagram,
YoungTableau,
YoungLattice,
YoungsRule,
createStandardTableauFromPermutation
} = require('reality-simulation-code');

// Create a Young Diagram (partition)
const diagram = new YoungDiagram([4, 3, 1]);
console.log(diagram.size()); // 8
console.log(diagram.toString()); // ASCII representation

// Get conjugate partition
const conjugate = diagram.conjugate();
console.log(conjugate.toArray()); // [3, 2, 2, 1]

// Create a Young Tableau
const tableau = new YoungTableau([
[1, 2, 5],
[3, 4],
[6]
], true);
console.log(tableau.isValid()); // true

// Work with Young Lattice (all partitions)
const lattice = new YoungLattice();
const partitions = lattice.getLevel(4);
console.log(partitions.length); // 5 partitions of 4

// Calculate representation dimension using hook length formula
const dimension = YoungsRule.hookLengthFormula([3, 2, 1]);
console.log(dimension); // 16

// Robinson-Schensted correspondence
const permutation = [3, 1, 4, 2];
const rsTableau = createStandardTableauFromPermutation(permutation);
console.log(rsTableau.toString());
```

See [YOUNG_DISCRETE_MATH.md](YOUNG_DISCRETE_MATH.md) for complete documentation and examples.


linktr.ee/xaoex
linktr.ee/oktays
Expand Down Expand Up @@ -126,6 +171,7 @@ Release Notes
* Introducing "young ring" an abstract mathematical ring that is defined for the first time by me (Oktay) for the purpose of creating a dynamic enterprise: entities/organizations/projects. young rings are defined by formation: combining relational algebra with the foundational definitions from group + ring theory.
* **NEW: Young Situation White Paper** - See [WHITEPAPER_YOUNG_SITUATION.md](WHITEPAPER_YOUNG_SITUATION.md) for formal mathematical definitions of Young Situation, Family, Bound, Movement with sound mathematics, proofs, and induction in CS/Polytechnic style.
* **NEW: Young Field Implementation** - Extension of Young Ring with multiplicative inverses and division operations. See [YOUNG_FIELD.md](YOUNG_FIELD.md) for complete usage guide and examples. Enables normalized situation valuations, probability distributions, and rate of change calculations.
* **NEW: Young Discrete Mathematics** - Comprehensive implementation of Young-related concepts in discrete mathematics: Young Diagrams (partition representations), Young Tableaux (standard and semi-standard), Young Lattice (poset of partitions), and Young's Rule (hook length formula and representation theory). See [YOUNG_DISCRETE_MATH.md](YOUNG_DISCRETE_MATH.md) for complete documentation. These classical structures from combinatorics and representation theory complement the Young Ring/Field algebraic framework.
* General AI updates for psychs etc.
* Make everything 100% Maxed out again.
* P =! or == NP things from before + new finds.
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