MathJSON Standard Library
The MathJSON standard library defines the vocabulary used by a MathJSON expression.
This library defines the meaning of the identifiers used in a MathJSON expression. It is independent of the syntax used to parse/serialize from another language such as LaTeX.
It includes definitions such as:
- “
Piis a transcendental number whose value is approximately 3.14159265…” - “The
Addfunction is associative, commutative, pure, idempotent and can be applied to arbitrary number of Real or Complex numbers”.
Topics
The MathJSON Standard Library is organized by topics, each topic is a separate page in the documentation.
| Topic | |
|---|---|
| Arithmetic | Add Multiply Power Exp Log ExponentialE ImaginaryUnit… |
| Calculus | D Derivative Integrate… |
| Collections | List Reverse Filter… |
| Complex | Real Conjugate, ComplexRoots… |
| Control Structures | If Block Loop … |
| Core | Declare, Assign, Error LatexString… |
| Domains | Anything Nothing Numbers Integers … |
| Functions | Function Apply Return … |
| Logic | And Or Not True False Maybe … |
| Sets | Union Intersection EmptySet … |
| Special Functions | Gamma Factorial… |
| Statistics | StandardDeviation Mean Erf… |
| Styling | Delimiter Style… |
| Trigonometry | Pi Cos Sin Tan… |
Extending the MathJSON Standard Library
The MathJSON Standard Library can be extended by defining new functions:
// Declare that the identifier "f" is a function,
// but without giving it a definition
ce.declare("f", "Function");
// Define a new function `double` that returns twice its input
ce.assign("double(x)", ["Multiply", "x", 2]);
// LaTeX can be used for the definition as well...
ce.assign("half(x)", ce.parse("\\frac{x}{2}"));
You can also customize the LaTeX syntax, that is how to parse and serialize LaTeX to MathJSON.