minor doc typos fix
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@ -13,7 +13,7 @@ Actual feature list is [here](doc/features.md)
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* Complex numbers backed by the `Field` API (meaning that they will be usable in any structure like vectors and N-dimensional arrays).
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* Advanced linear algebra operations like matrix inversion and LU decomposition.
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* **Array-like structures** Full support of many-dimenstional array-like structures
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* **Array-like structures** Full support of many-dimensional array-like structures
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including mixed arithmetic operations and function operations over arrays and numbers (with the added benefit of static type checking).
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* **Expressions** By writing a single mathematical expression
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@ -22,13 +22,13 @@ can be used for a wide variety of purposes from high performance calculations to
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* **Histograms** Fast multi-dimensional histograms.
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* **Streaming** Streaming operations on mathematica objects and objects buffers.
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* **Streaming** Streaming operations on mathematical objects and objects buffers.
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* **Commons-math wrapper** It is planned to gradually wrap most parts of [Apache commons-math](http://commons.apache.org/proper/commons-math/)
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library in Kotlin code and maybe rewrite some parts to better suit the Kotlin programming paradigm, however there is no fixed roadmap for that. Feel free
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to submit a feature request if you want something to be done first.
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* **Koma wrapper** [Koma](https://github.com/kyonifer/koma) is a well established numerics library in kotlin, specifically linear algebra.
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* **Koma wrapper** [Koma](https://github.com/kyonifer/koma) is a well established numerics library in Kotlin, specifically linear algebra.
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The plan is to have wrappers for koma implementations for compatibility with kmath API.
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## Planned features
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@ -110,4 +110,4 @@ dependencies{
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## Contributing
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The project requires a lot of additional work. Please fill free to contribute in any way and propose new features.
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The project requires a lot of additional work. Please feel free to contribute in any way and propose new features.
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@ -32,12 +32,12 @@ Typical case of `Field` is the `RealField` which works on doubles. And typical c
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In some cases algebra context could hold additional operation like `exp` or `sin`, in this case it inherits appropriate
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interface. Also a context could have an operation which produces an element outside of its context. For example
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`Matrix` `dot` operation produces a matrix with new dimensions which could not be compatible with initial matrix in
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`Matrix` `dot` operation produces a matrix with new dimensions which can be incompatible with initial matrix in
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terms of linear operations.
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## Algebra element
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In order to achieve more familiar behavior (where you apply operations directly to mathematica objects), without involving contexts
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In order to achieve more familiar behavior (where you apply operations directly to mathematical objects), without involving contexts
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`kmath` introduces special type objects called `MathElement`. A `MathElement` is basically some object coupled to
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a mathematical context. For example `Complex` is the pair of real numbers representing real and imaginary parts,
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but it also holds reference to the `ComplexField` singleton which allows to perform direct operations on `Complex`
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