22 lines
1.1 KiB
Markdown
22 lines
1.1 KiB
Markdown
# Expressions
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Expressions is a feature, which allows constructing lazily or immediately calculated parametric mathematical expressions.
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The potential use-cases for it (so far) are following:
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* lazy evaluation (in general simple lambda is better, but there are some border cases);
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* automatic differentiation in single-dimension and in multiple dimensions;
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* generation of mathematical syntax trees with subsequent code generation for other languages;
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* symbolic computations, especially differentiation (and some other actions with `kmath-symja` integration with Symja's `IExpr`—integration, simplification, and more);
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* visualization with `kmath-jupyter`.
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The workhorse of this API is `Expression` interface, which exposes single `operator fun invoke(arguments: Map<Symbol, T>): T`
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method. `ExpressionAlgebra` is used to generate expressions and introduce variables.
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Currently there are two implementations:
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* Generic `ExpressionField` in `kmath-core` which allows construction of custom lazy expressions
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* Auto-differentiation expression in `kmath-commons` module allows using full power of `DerivativeStructure`
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from commons-math. **TODO: add example**
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