https://github.com/saschatimme/polynomialamoebas.jl

Package to compute Amoebas in 2 and 3 variables.
https://github.com/saschatimme/polynomialamoebas.jl

Last synced: about 2 months ago
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Package to compute Amoebas in 2 and 3 variables.

• Host: GitHub
• URL: https://github.com/saschatimme/polynomialamoebas.jl
• Owner: saschatimme
• License: other
• Created: 2018-02-16T16:02:29.000Z (almost 7 years ago)
• Default Branch: master
• Last Pushed: 2022-04-29T21:21:31.000Z (over 2 years ago)
• Last Synced: 2024-11-10T15:55:54.966Z (about 2 months ago)
• Language: Julia
• Homepage:
• Size: 633 KB
• Stars: 4
• Watchers: 2
• Forks: 1
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.md

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README

        
# PolynomialAmoebas.jl

| **Documentation** | **Build Status** |

|:-----------------:|:----------------:|

| [![][docs-stable-img]][docs-stable-url] | [![Build Status][build-img]][build-url] |

| [![][docs-latest-img]][docs-latest-url] | [![Codecov branch][codecov-img]][codecov-url] |

A package to compute [Amoebas](https://en.wikipedia.org/wiki/Amoeba_(mathematics)) in 2 and 3 variables.

## Installation

Just do

```julia

julia> using Pkg;

julia> pkg"add PolynomialAmoebas";

```

in a running Julia session.

## Getting started

To construct polynomials we export the macro `@polyvar` from the [DynamicPolynomials.jl](https://github.com/JuliaAlgebra/DynamicPolynomials.jl) package.

```julia

using PolynomialAmoebas

# Create variables

@polyvar x y

# construct a polynomial

f = x^2*y + y^2 + 3x^2*y^3 + y^4 + x^4*y^4

```

To compute the amoeba of `f` we then can simply do

```julia

A = amoeba(f)

```

To visualize the amoeba we use the plotting capabilities provided by [Plots.jl](http://docs.juliaplots.org/latest/).

Just do

```julia

using Plots

plot(A)

```

There is also a Jupyter notebook [available](https://github.com/saschatimme/PolynomialAmoebas.jl/blob/master/docs/notebooks/Overview.ipynb) to get an overview over the capabilties of the package.

In order to set everything up for this follow the instructions in the [IJulia.jl](https://github.com/JuliaLang/IJulia.jl) repository.

[docs-stable-img]: https://img.shields.io/badge/docs-stable-blue.svg

[docs-latest-img]: https://img.shields.io/badge/docs-latest-blue.svg

[docs-stable-url]: https://saschatimme.github.io/PolynomialAmoebas.jl/stable

[docs-latest-url]: https://saschatimme.github.io/PolynomialAmoebas.jl/latest

[build-img]: https://travis-ci.org/saschatimme/PolynomialAmoebas.jl.svg?branch=master

[build-url]: https://travis-ci.org/saschatimme/PolynomialAmoebas.jl

[codecov-img]: https://codecov.io/gh/saschatimme/PolynomialAmoebas.jl/branch/master/graph/badge.svg

[codecov-url]: https://codecov.io/gh/saschatimme/PolynomialAmoebas.jl