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added gitter and liberapay badges
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chakravala committed Apr 9, 2019
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4 changes: 3 additions & 1 deletion README.md
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[![Build status](https://ci.appveyor.com/api/projects/status/c36u0rgtm2rjcquk?svg=true)](https://ci.appveyor.com/project/chakravala/grassmann-jl)
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This package is a work in progress providing the necessary tools to work with arbitrary dual `MultiVector` elements with optional origin. Due to the parametric type system for the generating `VectorSpace`, the Julia compiler can fully preallocate and often cache values efficiently. Both static and mutable vector types are supported.

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The metric signature of the `Basis{V,1}` elements of a vector space `V` can be specified with the `V"..."` constructor by using `+` and `-` to specify whether the `Basis{V,1}` element of the corresponding index squares to `+1` or `-1`.
For example, `V"+++"` constructs a positive definite 3-dimensional `VectorSpace`.
```Julia
julia>^3 == V"+++" == VectorSpace(3)
julia>^3 == V"+++" == vectorspace(3)
true
```
The direct sum operator `` can be used to join spaces (alternatively `+`), and `'` is an involution which toggles a dual vector space with inverted signature.
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2 changes: 1 addition & 1 deletion src/Grassmann.jl
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using ComputedFieldTypes, AbstractLattices
using DirectSum, AbstractTensors

export VectorSpace, vectorspace, , ℝ, @V_str, @D_str, Signature, DiagonalForm, value
export vectorspace, , ℝ, @V_str, @D_str, Signature, DiagonalForm, value
import DirectSum: hasinf, hasorigin, dualtype, dual, value, vectorspace, V0,

include("utilities.jl")
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