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$$ \begin{align} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{align} $$# session info
sessionInfo()
R version 3.5.1 (2018-07-02) Platform: x86_64-apple-darwin15.6.0 (64-bit) Running under: macOS High Sierra 10.13.1 Matrix products: default BLAS: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRblas.0.dylib LAPACK: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRlapack.dylib locale: [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8 attached base packages: [1] stats graphics grDevices utils datasets methods base loaded via a namespace (and not attached): [1] compiler_3.5.1 magrittr_1.5 IRdisplay_0.5.0 [4] pbdZMQ_0.3-3 tools_3.5.1 htmltools_0.3.6 [7] base64enc_0.1-3 crayon_1.3.4 Rcpp_0.12.18 [10] uuid_0.1-2 stringi_1.2.4 IRkernel_0.8.12.9000 [13] jsonlite_1.5 stringr_1.3.1 digest_0.6.18 [16] repr_0.15.0 evaluate_0.11
# data
iris
Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species |
---|---|---|---|---|
5.1 | 3.5 | 1.4 | 0.2 | setosa |
4.9 | 3.0 | 1.4 | 0.2 | setosa |
4.7 | 3.2 | 1.3 | 0.2 | setosa |
4.6 | 3.1 | 1.5 | 0.2 | setosa |
5.0 | 3.6 | 1.4 | 0.2 | setosa |
5.4 | 3.9 | 1.7 | 0.4 | setosa |
4.6 | 3.4 | 1.4 | 0.3 | setosa |
5.0 | 3.4 | 1.5 | 0.2 | setosa |
4.4 | 2.9 | 1.4 | 0.2 | setosa |
4.9 | 3.1 | 1.5 | 0.1 | setosa |
5.4 | 3.7 | 1.5 | 0.2 | setosa |
4.8 | 3.4 | 1.6 | 0.2 | setosa |
4.8 | 3.0 | 1.4 | 0.1 | setosa |
4.3 | 3.0 | 1.1 | 0.1 | setosa |
5.8 | 4.0 | 1.2 | 0.2 | setosa |
5.7 | 4.4 | 1.5 | 0.4 | setosa |
5.4 | 3.9 | 1.3 | 0.4 | setosa |
5.1 | 3.5 | 1.4 | 0.3 | setosa |
5.7 | 3.8 | 1.7 | 0.3 | setosa |
5.1 | 3.8 | 1.5 | 0.3 | setosa |
5.4 | 3.4 | 1.7 | 0.2 | setosa |
5.1 | 3.7 | 1.5 | 0.4 | setosa |
4.6 | 3.6 | 1.0 | 0.2 | setosa |
5.1 | 3.3 | 1.7 | 0.5 | setosa |
4.8 | 3.4 | 1.9 | 0.2 | setosa |
5.0 | 3.0 | 1.6 | 0.2 | setosa |
5.0 | 3.4 | 1.6 | 0.4 | setosa |
5.2 | 3.5 | 1.5 | 0.2 | setosa |
5.2 | 3.4 | 1.4 | 0.2 | setosa |
4.7 | 3.2 | 1.6 | 0.2 | setosa |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
6.9 | 3.2 | 5.7 | 2.3 | virginica |
5.6 | 2.8 | 4.9 | 2.0 | virginica |
7.7 | 2.8 | 6.7 | 2.0 | virginica |
6.3 | 2.7 | 4.9 | 1.8 | virginica |
6.7 | 3.3 | 5.7 | 2.1 | virginica |
7.2 | 3.2 | 6.0 | 1.8 | virginica |
6.2 | 2.8 | 4.8 | 1.8 | virginica |
6.1 | 3.0 | 4.9 | 1.8 | virginica |
6.4 | 2.8 | 5.6 | 2.1 | virginica |
7.2 | 3.0 | 5.8 | 1.6 | virginica |
7.4 | 2.8 | 6.1 | 1.9 | virginica |
7.9 | 3.8 | 6.4 | 2.0 | virginica |
6.4 | 2.8 | 5.6 | 2.2 | virginica |
6.3 | 2.8 | 5.1 | 1.5 | virginica |
6.1 | 2.6 | 5.6 | 1.4 | virginica |
7.7 | 3.0 | 6.1 | 2.3 | virginica |
6.3 | 3.4 | 5.6 | 2.4 | virginica |
6.4 | 3.1 | 5.5 | 1.8 | virginica |
6.0 | 3.0 | 4.8 | 1.8 | virginica |
6.9 | 3.1 | 5.4 | 2.1 | virginica |
6.7 | 3.1 | 5.6 | 2.4 | virginica |
6.9 | 3.1 | 5.1 | 2.3 | virginica |
5.8 | 2.7 | 5.1 | 1.9 | virginica |
6.8 | 3.2 | 5.9 | 2.3 | virginica |
6.7 | 3.3 | 5.7 | 2.5 | virginica |
6.7 | 3.0 | 5.2 | 2.3 | virginica |
6.3 | 2.5 | 5.0 | 1.9 | virginica |
6.5 | 3.0 | 5.2 | 2.0 | virginica |
6.2 | 3.4 | 5.4 | 2.3 | virginica |
5.9 | 3.0 | 5.1 | 1.8 | virginica |
library(ggplot2)
options(repr.plot.width=6, repr.plot.height=4)
ggplot(iris) +
aes(Sepal.Length, Sepal.Width, color = Species) +
geom_point() +
theme_bw()