docs: update documentation for Cortex Compute Engine compatibility

- Update operators.md with Cortex format and all 15 categories
- Add new operator fields documentation (signature, associative, etc.)
- Update operator tables with Cortex naming conventions
- Add Cortex Compute Engine compatibility to README and index
- Highlight 382 operators across 15 categories

Author: s-celles

README.md

@@ -9,6 +9,14 @@ A Julia package for parsing, manipulating, and generating mathematical expressio
 
 MathJSON is a JSON-based format for representing mathematical expressions, providing interoperability with web-based mathematical tools like [MathLive](https://cortexjs.io/mathlive/) and the [Cortex Compute Engine](https://cortexjs.io/compute-engine/).
 
+## Features
+
+- **Parse MathJSON**: Convert MathJSON strings to Julia expression trees
+- **Generate MathJSON**: Serialize Julia expressions to MathJSON format
+- **Validation**: Verify expressions conform to the MathJSON specification
+- **Symbolics.jl Integration**: Bidirectional conversion with Symbolics.jl expressions
+- **Cortex Compute Engine Compatible**: Full support for all 382 operators from the official MathJSON standard library
+
 ## Installation
 
 ```julia
@@ -49,6 +57,19 @@ symbolic = to_symbolics(expr)
 mathjson = from_symbolics(x + 1)
 ```
 
+## Operator Registry
+
+MathJSON.jl includes an extensive operator registry based on the [Cortex Compute Engine](https://cortexjs.io/compute-engine/) standard library:
+
+- **382 operators** across 15 categories
+- **Arithmetic**: Add, Subtract, Multiply, Divide, Power, Sqrt, Abs, Exp, Log, ...
+- **Trigonometry**: Sin, Cos, Tan, Arcsin, Arccos, Arctan, Sinh, Cosh, ...
+- **Calculus**: D (derivative), Integrate, Limit, Sum, Product, ...
+- **Linear Algebra**: Determinant, Transpose, Inverse, Eigenvalues, ...
+- **Logic**: And, Or, Not, Xor, Implies, Equivalent, ...
+- **Statistics**: Mean, Median, Variance, StandardDeviation, ...
+- **And more**: Collections, Combinatorics, Number Theory, Polynomials, ...
+
 ## Documentation
 
 For full documentation, see the [documentation site](https://s-celles.github.io/MathJSON.jl/).

docs/src/index.md

@@ -10,6 +10,7 @@ MathJSON is a JSON-based format for representing mathematical expressions, provi
 - **Generate MathJSON**: Serialize Julia expressions to MathJSON format
 - **Validation**: Verify expressions conform to the MathJSON specification
 - **Symbolics.jl Integration**: Bidirectional conversion with Symbolics.jl expressions
+- **Cortex Compute Engine Compatible**: Full support for all 382 operators from the official MathJSON standard library
 
 ## Installation
 
@@ -50,6 +51,21 @@ symbolic = to_symbolics(expr)
 mathjson = from_symbolics(x + 1)
 ```
 
+## Operator Registry
+
+MathJSON.jl includes an extensive operator registry based on the [Cortex Compute Engine](https://cortexjs.io/compute-engine/) standard library:
+
+- **382 operators** across 15 categories
+- **Arithmetic**: Add, Subtract, Multiply, Divide, Power, Sqrt, Abs, Exp, Log, ...
+- **Trigonometry**: Sin, Cos, Tan, Arcsin, Arccos, Arctan, Sinh, Cosh, ...
+- **Calculus**: D (derivative), Integrate, Limit, Sum, Product, ...
+- **Linear Algebra**: Determinant, Transpose, Inverse, Eigenvalues, ...
+- **Logic**: And, Or, Not, Xor, Implies, Equivalent, ...
+- **Statistics**: Mean, Median, Variance, StandardDeviation, ...
+- **And more**: Collections, Combinatorics, Number Theory, Polynomials, ...
+
+See the [Operator Registry](operators.md) page for complete documentation.
+
 ## API
 
 See the [API Reference](api.md) page for complete documentation of all exported functions and types.