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| ### A Pluto.jl notebook ### | |
| # v0.19.20 | |
| #> [frontmatter] | |
| #> chapter = 2 | |
| #> video = "https://www.youtube.com/watch?v=O6NTKsR8TjQ" | |
| #> image = "https://user-images.githubusercontent.com/6933510/136199721-8fd577cb-d6f3-492d-bbdc-37bc74664ca7.png" | |
| #> section = 8 | |
| #> order = 8 | |
| #> title = "Linear Model, Data Science, & Simulations" | |
| #> layout = "layout.jlhtml" | |
| #> youtube_id = "O6NTKsR8TjQ" | |
| #> description = "" | |
| #> tags = ["lecture", "module2"] | |
| using Markdown | |
| using InteractiveUtils | |
| # This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). | |
| macro bind(def, element) | |
| quote | |
| local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end | |
| local el = $(esc(element)) | |
| global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) | |
| el | |
| end | |
| end | |
| # ╔═╡ d155ea12-9628-11eb-347f-7754a33fd403 | |
| using Plots, PlutoUI, DataFrames, CSV, GLM, Statistics, LinearAlgebra, Distributions | |
| # ╔═╡ f7f1cedd-c18a-4393-a875-c7f3a5cc785a | |
| md""" | |
| !!! info | |
| This notebook is from [`https://computationalthinking.mit.edu/Fall22/data_science/linearmodel_datascience/`](https://computationalthinking.mit.edu/Fall22/data_science/linearmodel_datascience/). | |
| """ | |
| # ╔═╡ b3642690-e8f3-4003-943d-5b9fd9878f67 | |
| versioninfo() | |
| # ╔═╡ 01506de2-918a-11eb-2a4d-c554a6e54631 | |
| TableOfContents() | |
| # ╔═╡ 877deb2c-702b-457b-a54b-f27c277928d4 | |
| md""" | |
| # Julia concepts for data science | |
| - Data Frames (`DataFrames.jl`) | |
| - `CSVread`, `CSVwrite` (`CSV.jl`) | |
| - `lm` (linear model) (`GLM.jl`) | |
| - `@formula` (formula macro to specify variables to analyze) (`GLM.jl`) | |
| - Underscore as digits separator (e.g. `1_000` for 1000) | |
| - The value of fast simulations. | |
| """ | |
| # ╔═╡ 36ce167f-382c-4b9a-be34-83250b10c4e5 | |
| md""" | |
| In this lecture we will simulate a real world statistical application | |
| for the purpose of understanding what statistics is about. It is very | |
| helpful in simulations to be able to run many examples fast. | |
| """ | |
| # ╔═╡ 83912943-a847-420a-bfdb-450027b631e8 | |
| md""" | |
| # Fahrenheit and Celsius Data Set | |
| """ | |
| # ╔═╡ 280d112f-d34a-4cc4-9e3a-4ebbfcd5eb51 | |
| n = 10 | |
| # ╔═╡ b5031c96-db57-4baf-b271-6bb12e29de9b | |
| x = sort((rand( -10:100, n))) | |
| # ╔═╡ c2f77e8f-a8c0-4144-a8b4-b25dd98ed234 | |
| y = 5/9 .* x .- 17.7777777 # same as y = 5/9 .* (x .- 32) | |
| # ╔═╡ ad161b98-f4a1-42ac-ad4f-8b71fabcfde9 | |
| begin | |
| plot(x,y, m=:c, mc=:red,legend=false) | |
| xlabel!("°F") | |
| annotate!(-4,16,text("°C",11)) | |
| # plot!( x, (x.-30)./2) Dave's cool approximation | |
| end | |
| # ╔═╡ 8e422886-74ef-4c0f-be1e-fda238c8db44 | |
| [x y] | |
| # ╔═╡ ca21122a-2522-482a-b7ef-bd73e96cb5a9 | |
| md""" | |
| ## Julia: Data Frames | |
| I like to think of a Data Frame as a matrix with labels. | |
| """ | |
| # ╔═╡ 41e05b1e-8b5e-45e3-91bb-01355ade9f3d | |
| md""" | |
| ### Data Frame by Columns with labels | |
| """ | |
| # ╔═╡ 9d2e3861-ca36-406e-952d-831ca3947e44 | |
| data = DataFrame(°F=x,°C=y) # Label = data | |
| # ╔═╡ e73854ed-3581-41c4-ada5-e48242033759 | |
| md""" | |
| ### Data Frame with a matrix | |
| """ | |
| # ╔═╡ 9873d944-b611-46f9-82a7-0cf714a3078c | |
| begin | |
| data2 = DataFrame([x y], :auto) # convert Matrix to DataFrame | |
| rename!(data2,["°F","°C"]) # add column labels | |
| end | |
| # ╔═╡ 2be44753-afee-4125-b6bc-8866d2293dc2 | |
| Matrix(data2) # Convert back to a matrix (lose label information) | |
| # ╔═╡ 6e07e8fb-fe51-4b37-bfb2-d1466e768754 | |
| md""" | |
| ## Julia:Comment about types | |
| Notice that [x y] converts all the data to floats, but columns of a data frame can have different types. | |
| """ | |
| # ╔═╡ a755e58a-b16c-4d3b-a85f-81ccf374793f | |
| md""" | |
| # Reading/Writing CSV (comma separated values) Files | |
| """ | |
| # ╔═╡ f1e10fb7-adac-4083-8977-616a505fd591 | |
| md""" | |
| ## Writing Data to a CSV file | |
| readable by spreadsheet software. | |
| """ | |
| # ╔═╡ 2e42986c-2de3-49e6-9c29-a7313c0b1da8 | |
| CSV.write("testCSVwrite.csv", data) | |
| # ╔═╡ 22758dd6-9d04-4616-ba99-1430f2dedf9a | |
| md""" | |
| ## Reading Data from a CSV file to a DataFrame | |
| """ | |
| # ╔═╡ aff6a616-6d8b-4584-a6f2-195decef7774 | |
| data_again = CSV.read("testCSVwrite.csv", DataFrame ) | |
| # ╔═╡ 338da13a-3c26-4366-a669-ac3e24f31577 | |
| data_again[:,"°F" ] # or data_again[:,1] | |
| # ╔═╡ 5a742546-1e4d-4aee-bed1-cb10c543e439 | |
| data_again[:,1] | |
| # ╔═╡ 6a9c8c9a-fac7-42f7-976d-3168132cae48 | |
| md""" | |
| # Noisy Data | |
| ## Add some random noise to the celsius readings | |
| """ | |
| # ╔═╡ 83c28c76-2eab-49f9-9999-05df85054520 | |
| md""" | |
| # The noise slider (so I can find it easily) | |
| """ | |
| # ╔═╡ ba671804-dc6d-415c-89de-9cf6294907b3 | |
| md""" | |
| noise = $(@bind noise Slider(0:.5:1000, show_value = true )) | |
| """ | |
| # ╔═╡ 3c038b68-8676-4877-9720-38da7c4e0e0e | |
| begin | |
| noisy_data = copy(data) # Noisy DataFrame | |
| noisy_data[:, "°C" ] .+= noise * randn(n) | |
| yy = noisy_data[:, "°C" ] | |
| noisy_data | |
| end | |
| # ╔═╡ e8683a71-5822-4491-9ccd-20e0fc3bf531 | |
| md""" | |
| ## Statistics Software Outputs Mysterious Tables | |
| example output from the "linear model" (`lm`) which we store in the variable `ols` for ordinary least squares (by contrast weighted least squares treats the vertical displacements with unequally with differing weights.) | |
| """ | |
| # ╔═╡ 0489e5d8-51ca-4955-83e1-95ea353d9cf2 | |
| ols = lm(@formula(°C ~ °F), noisy_data) | |
| # ╔═╡ 9a65aee4-ab8e-4ab7-be6f-cc2a2e9d5127 | |
| noisy_data | |
| # ╔═╡ c3539f42-6ca7-47fb-9707-4d11c9e76643 | |
| md""" | |
| This lecture is about explaining the meaning and significance to every part of this table. | |
| """ | |
| # ╔═╡ 469d809f-424f-4595-ad43-a5b2cc055304 | |
| md""" | |
| # Regression a few ways | |
| """ | |
| # ╔═╡ 6128b8fd-9b85-4896-a0bf-934a0733fafb | |
| md""" | |
| ## The "Coef." column in the table gives the slope and intercept of the best fit line | |
| """ | |
| # ╔═╡ 9eb7caaa-438d-4bcb-9c54-4a0fa72c61de | |
| b, m = [ one.(x) x]\ yy # The mysterious linear algebra solution using "least squares" | |
| # ╔═╡ 5a877e40-a101-4f7d-b2a1-ef4cfe5d8807 | |
| begin | |
| scatter(x, yy,m=:c,mc=:red, label="noisy data", ylims=(-40, 40)) | |
| for i=1 : length(data[:,2]) | |
| plot!([x[i],x[i]], [m*x[i]+b,yy[i]], color=:gray, ls=:dash, label=false) | |
| end | |
| xlabel!("°F") | |
| annotate!(-15,16,text("°C",11)) | |
| plot!(x, m.*x .+ b, color=:blue, label="best fit line") | |
| plot!(x,y,alpha=.5, color=:red, label="theory") # theoretical | |
| plot!(legend=:top) | |
| end | |
| # ╔═╡ 0e8fce45-f1c0-41d4-996a-d6093182afee | |
| function linear_regression(x,y) # a direct computation from the data | |
| n = length(x) | |
| x0 = x.-mean(x) | |
| y0 = y.-mean(y) | |
| mᵉ = sum( x0 .* y0 ) / sum( x0.^2 ) # slope estimate | |
| bᵉ = mean(y) - mᵉ * mean(x) # intercept estimate | |
| s2ᵉ = sum( (mᵉ.*x .+ bᵉ .- y).^2 ) /(n-2) # noise estimate | |
| bᵉ, mᵉ, s2ᵉ | |
| end | |
| # ╔═╡ 71590890-38b6-440e-b61b-ece6c49ac602 | |
| linear_regression(x,yy) | |
| # ╔═╡ f7cc7146-9ee6-4d87-b024-2a91863f4b24 | |
| md""" | |
| [So why is it called "Regression" anyway?](http://blog.minitab.com/blog/statistics-and-quality-data-analysis/so-why-is-it-called-regression-anyway) Dalton's original meaning not quite what it means today. | |
| """ | |
| # ╔═╡ f64815e2-44b8-4585-9269-9a62655c984c | |
| md""" | |
| # Demystifying the word "Model" | |
| Step I: The Model is y = m*x + b + σ*randn() . | |
| This means that out there in the real world are b, m, and σ. You | |
| don't know them. | |
| Step II: You do, however, have data points x and y which allow you | |
| to compute an bᵉ, mᵉ, and σᵉ. A statistician would call these estimates | |
| based on your data points. If you ran the experiment again, you would | |
| get different data points. | |
| The computer lets us run the experiment as many times as we want just to see what happens. | |
| In summary, there are three kinds of variables. The model variables b, m, and σ which are unknown. The predictor variable x which is considered fixed and known. The response variable y which is considered noisy. | |
| """ | |
| # ╔═╡ feb3c45e-88f4-4ffc-a4a0-e89489187c8d | |
| md""" | |
| ## Understanding the relationship `°C ~ 1 + °F` | |
| """ | |
| # ╔═╡ 99069dd7-e088-4626-aa29-e48d6f9a474e | |
| ols | |
| # ╔═╡ 051a9e38-9a84-4ead-96fa-24c86c2b9f2d | |
| md""" | |
| `°C ~ 1 + °F` means the celsius (y) is (Coef1)*1 + (Coef2)*(°F), | |
| in general `y ~ 1 + x1 + x2 + x3` is shorthand for | |
| ``y = c_0 + c_1 x_1 + c_2 x_2 + c_3 x_3``, etc. | |
| """ | |
| # ╔═╡ 2f33ee51-0725-46c2-9f1b-a61cd68abab1 | |
| md""" | |
| # Simulating the real world: running many noisy models | |
| """ | |
| # ╔═╡ e4acd97b-22f7-4812-9898-1a485887a5f2 | |
| function simulate(σ,howmany) | |
| [linear_regression(x,y .+ σ * randn(length(x))) for i=1:howmany] | |
| # [linear_regression(x,y .+ (σ * sqrt(12)) * (-.5 .+ rand(length(x)))) for i=1:howmany] | |
| # [linear_regression(x,y .+ (σ ) * ( rand([-1,1],length(x)))) for i=1:howmany] | |
| end | |
| # ╔═╡ 4e413b40-81c4-4160-9d01-046c2d179a06 | |
| howmany = 100_000 | |
| # ╔═╡ 7b94db0d-f46b-4621-9413-1dc787ae9a39 | |
| md""" | |
| ## Julia: underscore as a digits separator | |
| """ | |
| # ╔═╡ c7455f7a-9c72-42f5-8238-1799cad96f6c | |
| md""" | |
| ## Simulated intercepts ($howmany simulations) | |
| """ | |
| # ╔═╡ d2971801-2cdb-4b9f-8ec8-c74cbb2a0b31 | |
| md""" | |
| σ = $(@bind σ Slider(0:.1:3, show_value=true, default=1)) | |
| """ | |
| # ╔═╡ 51a28b67-ad64-4cf2-a0e6-a78fb101eb15 | |
| s = simulate(σ, howmany) | |
| # ╔═╡ d451af49-3139-4329-a885-a210b1760f74 | |
| s[1] # first simulation, intercept, slope, estimation of noise σ | |
| # ╔═╡ e1e8c140-bc4e-400d-beb2-0986e071c3a3 | |
| begin | |
| histogram( first.(s) , alpha=.6, bins=100, norm=true) | |
| vline!([-17.777777],color=:white) | |
| title!("intercept") | |
| xlims!(-17.7777-3,-17.7777+3) | |
| ylims!(0,1) | |
| plot!(legend=false) | |
| end | |
| # ╔═╡ 1429be09-a31f-415f-9c3d-f32b085ef68d | |
| md""" | |
| Experimental mean of the intercept | |
| """ | |
| # ╔═╡ da321202-0dc5-44ad-aac0-f3ea0d229243 | |
| mean(first.(s)), -17.777777 | |
| # ╔═╡ 2aceb366-a067-4271-9362-c320f4735ed1 | |
| md""" | |
| Experimental std of the intercept | |
| """ | |
| # ╔═╡ 58f548fd-f6d0-479d-8469-bc886783f9a7 | |
| std( first.(s)) | |
| # ╔═╡ 07be9435-bc07-4a18-aad8-3ff19f5bcce4 | |
| md""" | |
| Statisticians know an exact formula for the theoretical std of the intercept | |
| """ | |
| # ╔═╡ 1a6ad08d-c3bb-47e7-bdee-156bbff3aeda | |
| sb = σ * norm(x) / norm(x.-mean(x)) / sqrt(n) | |
| # ╔═╡ c55e4894-db71-4729-a1a1-5f68b45e3bf5 | |
| md""" | |
| ## Simulated slopes ($howmany simulations) | |
| """ | |
| # ╔═╡ f50d66eb-0357-4017-ac9b-99e63cd52dc0 | |
| begin | |
| histogram( getindex.(s, 2), alpha=.6, bins=100, norm=true, legend=false ) | |
| title!("slope") | |
| vline!([5/9],color=:white) | |
| xlims!(5/9-.1, 5/9+.1) | |
| ylims!(0,100) | |
| end | |
| # ╔═╡ 5c7a7361-f0e7-473a-9e38-226828aa00ca | |
| md""" | |
| Sample mean of the slope | |
| """ | |
| # ╔═╡ acf0e90e-8f1f-451f-9f0f-70a0bcc7efca | |
| mean(getindex.(s, 2)), .555555 | |
| # ╔═╡ c9f65e15-f222-4a88-98c2-9e1d8b5ec3eb | |
| md""" | |
| Sample std of the slope. | |
| """ | |
| # ╔═╡ 2589a369-8b21-406d-906d-71b18e4c7895 | |
| std( getindex.(s, 2)) | |
| # ╔═╡ ed6a0e6a-2d0c-4f77-9b08-1a5b5d56dd34 | |
| md""" | |
| Statisticians know a formula for the theoretical std of the slope. | |
| """ | |
| # ╔═╡ 61d1c1f7-e070-413b-8a92-76f44d237206 | |
| σ / norm(x.-mean(x)) | |
| # ╔═╡ 94d80ad6-0403-4322-aa9f-647c291c19d7 | |
| md""" | |
| ## Simulated σ ($howmany simulations) | |
| """ | |
| # ╔═╡ ce89b805-39a2-49e6-8781-c557aa73ed27 | |
| begin | |
| histogram( last.(s) ./ (σ^2/(n-2)) , alpha=.6, bins=100, norm=true,legend=false) | |
| vline!([1],color=:white) | |
| title!("residual") | |
| vline!([n-2],color=:white, lw=4) | |
| # xlims!(0,20) | |
| # ylims!(0,.13) | |
| plot!( x-> pdf(Chisq(n-2),x) , lw=4 , color=:red ) | |
| plot!() | |
| end | |
| # ╔═╡ 75f9b5e9-775d-4767-9da6-222f977da686 | |
| mean( last.(s) ) | |
| # ╔═╡ 797c9f2f-0b85-4435-b1c0-edc8cf67f738 | |
| σ^2 | |
| # ╔═╡ 6e0b2452-9f8b-4730-8072-a663704893c5 | |
| std(last.(s)) | |
| # ╔═╡ bf537a3a-b7c6-4c64-8b44-85511c3d492e | |
| (σ^2/ sqrt((n-2)/2)) | |
| # ╔═╡ 1340818c-3391-420b-aa94-acaea8a47d7d | |
| md""" | |
| # The Linear Model Table | |
| """ | |
| # ╔═╡ 829607ff-25e0-4585-9c5c-d132ecb86cc8 | |
| ols # = lm(@formula(°C ~ °F), noisy_data) | |
| # ╔═╡ 3fc0a4a8-6719-4920-99c7-bd576225214e | |
| -24.3784 / 19.0397 | |
| # ╔═╡ 24a7ad28-936c-47dc-bc53-d1ddbf39d05d | |
| 0.686156 / 0.330459 | |
| # ╔═╡ 9233dc6a-7578-4d72-b0c2-c3bb110a9fbe | |
| md""" | |
| ## The Coef column is just the regression formula for the best line | |
| """ | |
| # ╔═╡ 07e02bb6-380d-40dd-86ad-19d713cd1657 | |
| mᵉ, bᵉ, σ²ᵉ = linear_regression(x, yy) | |
| # ╔═╡ b14593ba-cb8c-4f28-8fb0-2d2df479357b | |
| md""" | |
| ## The Std. error column | |
| """ | |
| # ╔═╡ ac204681-b9df-471b-a22e-9d8f68679151 | |
| md""" | |
| Above we saw that statisticians had formulas for the exact std of the slope and intercept: | |
| `std(intercept) = σ * norm(x) / norm(x.-mean(x)) / sqrt(n)` | |
| ` std(slope) = σ / norm(x.-mean(x))` | |
| """ | |
| # ╔═╡ 08f43fff-fbd8-468f-8b3b-efd1829f4fc0 | |
| md""" | |
| Let's replace σ with our estimate √σ²ᵉ | |
| """ | |
| # ╔═╡ 43ec6124-c3e5-4f34-b0d9-1a0b069aa3e0 | |
| sqrt(σ²ᵉ) * norm(x) / norm(x.-mean(x)) / sqrt(n) | |
| # ╔═╡ 3fe71215-bbf2-40e9-bcfc-0bc9b3ac94c8 | |
| sqrt(σ²ᵉ) / norm(x.-mean(x)) | |
| # ╔═╡ a2b27841-256e-4898-aeca-04c4f44138fb | |
| md""" | |
| See those are the numbers in the magic table above. I always love when I can reproduce the numbers myself. It makes me feel I understand it. | |
| """ | |
| # ╔═╡ 8851dca3-e1a6-46b2-9745-f175ef0b0fae | |
| md""" | |
| ## The t column | |
| """ | |
| # ╔═╡ ccfcb4d9-5a88-48fb-9568-1147a74f6eec | |
| md""" | |
| The t column, is simply the Coeff column divided by the Std. error column which we will use in a hypothesis test in the upcoming column. | |
| """ | |
| # ╔═╡ 13858c0a-3e7a-4742-a821-97dd9a45109d | |
| md""" | |
| ### The t-distribution | |
| """ | |
| # ╔═╡ b2c3c1e5-e569-4c6f-bad9-055a25d73dce | |
| md""" | |
| In a statistics class you will likely see a random variable known as a t-distribution. | |
| (with parameter k). It is the ratio of a standard normal to a χ distribution with parameter k. Let's just use `randn` to simulate. For the data sets of most of today's experiments, the normal distribution is close enough to t, that nobody needs to even use t much anymore. In any event, with a t or a normal we are using this distribution because we are cognizant of the fact that the true σ is unknown and is merely being estimated. | |
| """ | |
| # ╔═╡ 305e4dfc-af7d-4667-8da8-a7ba5fd20fa6 | |
| rand_t(k) = sqrt(k)* randn() / norm( randn(k)) | |
| # ╔═╡ a648ba4f-fec4-4fa7-b328-1b52070224eb | |
| md""" | |
| k = $(@bind k Slider(3:100, show_value=true)) | |
| """ | |
| # ╔═╡ d652df7d-7364-4da4-b51e-9fc88b978cda | |
| begin | |
| histogram([rand_t(k) for i=1:100000], norm=true, bins=500, label=false) | |
| plot!( x-> pdf(TDist(k),x) , lw=4 , color=:red, label="t dist" ) | |
| plot!( x->pdf(Normal(),x), color=:green, lw=2, label="normal dist") | |
| xlims!(-3, 3) | |
| ylims!(0, .4) | |
| end | |
| # ╔═╡ 2e530106-57a8-46a9-8f99-49a871d43255 | |
| md""" | |
| ## The Pr(>|t|) column | |
| is the area of the curve outside of the interval [-t,t]. | |
| """ | |
| # ╔═╡ a990b133-ce50-4edf-81e1-1e78aeff8cd6 | |
| md""" | |
| In statistics we ask if the coefficient ought to be considered 0 (which means in this case the data has no intercept or does not depend on x) or whether the coefficients are signficant with some probability. The Pr(>|t|) column gives us the probablity that we should accept the hypothesis that the coefficients might reasonably be just 0. | |
| In a proper statistical test, you should decide at what level you might be willing to accept the hypothesis, example .99, .95, or .9 might be a reasonable level, and if the test gives a smaller probability, you will accept that the coefficients are signficant. It is not proper to produce the able and then decide whether to use .99, say. | |
| """ | |
| # ╔═╡ 3d0ea801-d66b-4e4e-90da-3a7dce28140d | |
| md""" | |
| # Degrees of Freedom | |
| """ | |
| # ╔═╡ 6fb223bb-f193-414d-9144-df180d09bea1 | |
| md""" | |
| It is interesting to see that the sum of squares of a demeaned Gaussian vector is the size -1. This is the reason for the (n-1) in the sample mean for variance. | |
| """ | |
| # ╔═╡ fb495ba4-52e6-4e0d-bd9c-981700edfebc | |
| md""" | |
| How many degrees of freedom are in a "demeaned" vector of normals? | |
| """ | |
| # ╔═╡ cdc4b25d-d05f-40c8-9c79-265876f01523 | |
| mean([ (v = randn(17);v.-=mean(v);sum(v.^2)) for i=1:1_000_000]) | |
| # ╔═╡ 967c5e3e-ab4c-45de-953c-aff6d16229af | |
| md""" | |
| If you ever wondered why the sample variance always has you dividing by (n-1) | |
| and not n, this is the crux of the reason. | |
| """ | |
| # ╔═╡ 00000000-0000-0000-0000-000000000001 | |
| PLUTO_PROJECT_TOML_CONTENTS = """ | |
| [deps] | |
| CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" | |
| DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" | |
| Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" | |
| GLM = "38e38edf-8417-5370-95a0-9cbb8c7f171a" | |
| LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" | |
| Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | |
| PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" | |
| Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" | |
| [compat] | |
| CSV = "~0.10.9" | |
| DataFrames = "~1.4.4" | |
| Distributions = "~0.25.80" | |
| GLM = "~1.8.1" | |
| Plots = "~1.38.2" | |
| PlutoUI = "~0.7.49" | |
| """ | |
| # ╔═╡ 00000000-0000-0000-0000-000000000002 | |
| PLUTO_MANIFEST_TOML_CONTENTS = """ | |
| # This file is machine-generated - editing it directly is not advised | |
| [[AbstractPlutoDingetjes]] | |
| deps = ["Pkg"] | |
| git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481" | |
| uuid = "6e696c72-6542-2067-7265-42206c756150" | |
| version = "1.1.4" | |
| [[ArgTools]] | |
| uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" | |
| version = "1.1.1" | |
| [[Artifacts]] | |
| uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" | |
| [[Base64]] | |
| uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" | |
| [[BitFlags]] | |
| git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d" | |
| uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" | |
| version = "0.1.7" | |
| [[Bzip2_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" | |
| uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" | |
| version = "1.0.8+0" | |
| [[CSV]] | |
| deps = ["CodecZlib", "Dates", "FilePathsBase", "InlineStrings", "Mmap", "Parsers", "PooledArrays", "SentinelArrays", "SnoopPrecompile", "Tables", "Unicode", "WeakRefStrings", "WorkerUtilities"] | |
| git-tree-sha1 = "c700cce799b51c9045473de751e9319bdd1c6e94" | |
| uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" | |
| version = "0.10.9" | |
| [[Cairo_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] | |
| git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" | |
| uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" | |
| version = "1.16.1+1" | |
| [[Calculus]] | |
| deps = ["LinearAlgebra"] | |
| git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad" | |
| uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9" | |
| version = "0.5.1" | |
| [[ChainRulesCore]] | |
| deps = ["Compat", "LinearAlgebra", "SparseArrays"] | |
| git-tree-sha1 = "c6d890a52d2c4d55d326439580c3b8d0875a77d9" | |
| uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" | |
| version = "1.15.7" | |
| [[ChangesOfVariables]] | |
| deps = ["ChainRulesCore", "LinearAlgebra", "Test"] | |
| git-tree-sha1 = "38f7a08f19d8810338d4f5085211c7dfa5d5bdd8" | |
| uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0" | |
| version = "0.1.4" | |
| [[CodecZlib]] | |
| deps = ["TranscodingStreams", "Zlib_jll"] | |
| git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da" | |
| uuid = "944b1d66-785c-5afd-91f1-9de20f533193" | |
| version = "0.7.0" | |
| [[ColorSchemes]] | |
| deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random", "SnoopPrecompile"] | |
| git-tree-sha1 = "aa3edc8f8dea6cbfa176ee12f7c2fc82f0608ed3" | |
| uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" | |
| version = "3.20.0" | |
| [[ColorTypes]] | |
| deps = ["FixedPointNumbers", "Random"] | |
| git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" | |
| uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" | |
| version = "0.11.4" | |
| [[ColorVectorSpace]] | |
| deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"] | |
| git-tree-sha1 = "600cc5508d66b78aae350f7accdb58763ac18589" | |
| uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" | |
| version = "0.9.10" | |
| [[Colors]] | |
| deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] | |
| git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a" | |
| uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" | |
| version = "0.12.10" | |
| [[Compat]] | |
| deps = ["Dates", "LinearAlgebra", "UUIDs"] | |
| git-tree-sha1 = "00a2cccc7f098ff3b66806862d275ca3db9e6e5a" | |
| uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" | |
| version = "4.5.0" | |
| [[CompilerSupportLibraries_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" | |
| version = "1.0.2+0" | |
| [[Contour]] | |
| git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781" | |
| uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" | |
| version = "0.6.2" | |
| [[Crayons]] | |
| git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15" | |
| uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f" | |
| version = "4.1.1" | |
| [[DataAPI]] | |
| git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630" | |
| uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" | |
| version = "1.14.0" | |
| [[DataFrames]] | |
| deps = ["Compat", "DataAPI", "Future", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Random", "Reexport", "SnoopPrecompile", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"] | |
| git-tree-sha1 = "d4f69885afa5e6149d0cab3818491565cf41446d" | |
| uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" | |
| version = "1.4.4" | |
| [[DataStructures]] | |
| deps = ["Compat", "InteractiveUtils", "OrderedCollections"] | |
| git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0" | |
| uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" | |
| version = "0.18.13" | |
| [[DataValueInterfaces]] | |
| git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6" | |
| uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464" | |
| version = "1.0.0" | |
| [[Dates]] | |
| deps = ["Printf"] | |
| uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" | |
| [[DelimitedFiles]] | |
| deps = ["Mmap"] | |
| git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae" | |
| uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab" | |
| version = "1.9.1" | |
| [[DensityInterface]] | |
| deps = ["InverseFunctions", "Test"] | |
| git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b" | |
| uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d" | |
| version = "0.4.0" | |
| [[Distributions]] | |
| deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"] | |
| git-tree-sha1 = "74911ad88921455c6afcad1eefa12bd7b1724631" | |
| uuid = "31c24e10-a181-5473-b8eb-7969acd0382f" | |
| version = "0.25.80" | |
| [[DocStringExtensions]] | |
| deps = ["LibGit2"] | |
| git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d" | |
| uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" | |
| version = "0.9.3" | |
| [[Downloads]] | |
| deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"] | |
| uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" | |
| version = "1.6.0" | |
| [[DualNumbers]] | |
| deps = ["Calculus", "NaNMath", "SpecialFunctions"] | |
| git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566" | |
| uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74" | |
| version = "0.6.8" | |
| [[Expat_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d" | |
| uuid = "2e619515-83b5-522b-bb60-26c02a35a201" | |
| version = "2.4.8+0" | |
| [[FFMPEG]] | |
| deps = ["FFMPEG_jll"] | |
| git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8" | |
| uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a" | |
| version = "0.4.1" | |
| [[FFMPEG_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Pkg", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"] | |
| git-tree-sha1 = "74faea50c1d007c85837327f6775bea60b5492dd" | |
| uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5" | |
| version = "4.4.2+2" | |
| [[FilePathsBase]] | |
| deps = ["Compat", "Dates", "Mmap", "Printf", "Test", "UUIDs"] | |
| git-tree-sha1 = "e27c4ebe80e8699540f2d6c805cc12203b614f12" | |
| uuid = "48062228-2e41-5def-b9a4-89aafe57970f" | |
| version = "0.9.20" | |
| [[FileWatching]] | |
| uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" | |
| [[FillArrays]] | |
| deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"] | |
| git-tree-sha1 = "9a0472ec2f5409db243160a8b030f94c380167a3" | |
| uuid = "1a297f60-69ca-5386-bcde-b61e274b549b" | |
| version = "0.13.6" | |
| [[FixedPointNumbers]] | |
| deps = ["Statistics"] | |
| git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc" | |
| uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93" | |
| version = "0.8.4" | |
| [[Fontconfig_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03" | |
| uuid = "a3f928ae-7b40-5064-980b-68af3947d34b" | |
| version = "2.13.93+0" | |
| [[Formatting]] | |
| deps = ["Printf"] | |
| git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8" | |
| uuid = "59287772-0a20-5a39-b81b-1366585eb4c0" | |
| version = "0.4.2" | |
| [[FreeType2_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9" | |
| uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7" | |
| version = "2.10.4+0" | |
| [[FriBidi_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91" | |
| uuid = "559328eb-81f9-559d-9380-de523a88c83c" | |
| version = "1.0.10+0" | |
| [[Future]] | |
| deps = ["Random"] | |
| uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820" | |
| [[GLFW_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"] | |
| git-tree-sha1 = "d972031d28c8c8d9d7b41a536ad7bb0c2579caca" | |
| uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89" | |
| version = "3.3.8+0" | |
| [[GLM]] | |
| deps = ["Distributions", "LinearAlgebra", "Printf", "Reexport", "SparseArrays", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "StatsModels"] | |
| git-tree-sha1 = "884477b9886a52a84378275737e2823a5c98e349" | |
| uuid = "38e38edf-8417-5370-95a0-9cbb8c7f171a" | |
| version = "1.8.1" | |
| [[GR]] | |
| deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"] | |
| git-tree-sha1 = "387d2b8b3ca57b791633f0993b31d8cb43ea3292" | |
| uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71" | |
| version = "0.71.3" | |
| [[GR_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"] | |
| git-tree-sha1 = "5982b5e20f97bff955e9a2343a14da96a746cd8c" | |
| uuid = "d2c73de3-f751-5644-a686-071e5b155ba9" | |
| version = "0.71.3+0" | |
| [[Gettext_jll]] | |
| deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"] | |
| git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046" | |
| uuid = "78b55507-aeef-58d4-861c-77aaff3498b1" | |
| version = "0.21.0+0" | |
| [[Glib_jll]] | |
| deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "d3b3624125c1474292d0d8ed0f65554ac37ddb23" | |
| uuid = "7746bdde-850d-59dc-9ae8-88ece973131d" | |
| version = "2.74.0+2" | |
| [[Graphite2_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011" | |
| uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472" | |
| version = "1.3.14+0" | |
| [[Grisu]] | |
| git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2" | |
| uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe" | |
| version = "1.0.2" | |
| [[HTTP]] | |
| deps = ["Base64", "CodecZlib", "Dates", "IniFile", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"] | |
| git-tree-sha1 = "eb5aa5e3b500e191763d35198f859e4b40fff4a6" | |
| uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3" | |
| version = "1.7.3" | |
| [[HarfBuzz_jll]] | |
| deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"] | |
| git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3" | |
| uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566" | |
| version = "2.8.1+1" | |
| [[HypergeometricFunctions]] | |
| deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions", "Test"] | |
| git-tree-sha1 = "709d864e3ed6e3545230601f94e11ebc65994641" | |
| uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a" | |
| version = "0.3.11" | |
| [[Hyperscript]] | |
| deps = ["Test"] | |
| git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9" | |
| uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91" | |
| version = "0.0.4" | |
| [[HypertextLiteral]] | |
| deps = ["Tricks"] | |
| git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9" | |
| uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" | |
| version = "0.9.4" | |
| [[IOCapture]] | |
| deps = ["Logging", "Random"] | |
| git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a" | |
| uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89" | |
| version = "0.2.2" | |
| [[IniFile]] | |
| git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625" | |
| uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f" | |
| version = "0.5.1" | |
| [[InlineStrings]] | |
| deps = ["Parsers"] | |
| git-tree-sha1 = "0cf92ec945125946352f3d46c96976ab972bde6f" | |
| uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48" | |
| version = "1.3.2" | |
| [[InteractiveUtils]] | |
| deps = ["Markdown"] | |
| uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" | |
| [[InverseFunctions]] | |
| deps = ["Test"] | |
| git-tree-sha1 = "49510dfcb407e572524ba94aeae2fced1f3feb0f" | |
| uuid = "3587e190-3f89-42d0-90ee-14403ec27112" | |
| version = "0.1.8" | |
| [[InvertedIndices]] | |
| git-tree-sha1 = "82aec7a3dd64f4d9584659dc0b62ef7db2ef3e19" | |
| uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f" | |
| version = "1.2.0" | |
| [[IrrationalConstants]] | |
| git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151" | |
| uuid = "92d709cd-6900-40b7-9082-c6be49f344b6" | |
| version = "0.1.1" | |
| [[IteratorInterfaceExtensions]] | |
| git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856" | |
| uuid = "82899510-4779-5014-852e-03e436cf321d" | |
| version = "1.0.0" | |
| [[JLFzf]] | |
| deps = ["Pipe", "REPL", "Random", "fzf_jll"] | |
| git-tree-sha1 = "f377670cda23b6b7c1c0b3893e37451c5c1a2185" | |
| uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c" | |
| version = "0.1.5" | |
| [[JLLWrappers]] | |
| deps = ["Preferences"] | |
| git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1" | |
| uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" | |
| version = "1.4.1" | |
| [[JSON]] | |
| deps = ["Dates", "Mmap", "Parsers", "Unicode"] | |
| git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e" | |
| uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" | |
| version = "0.21.3" | |
| [[JpegTurbo_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "b53380851c6e6664204efb2e62cd24fa5c47e4ba" | |
| uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8" | |
| version = "2.1.2+0" | |
| [[LAME_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c" | |
| uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d" | |
| version = "3.100.1+0" | |
| [[LERC_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434" | |
| uuid = "88015f11-f218-50d7-93a8-a6af411a945d" | |
| version = "3.0.0+1" | |
| [[LZO_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6" | |
| uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac" | |
| version = "2.10.1+0" | |
| [[LaTeXStrings]] | |
| git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996" | |
| uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" | |
| version = "1.3.0" | |
| [[Latexify]] | |
| deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"] | |
| git-tree-sha1 = "2422f47b34d4b127720a18f86fa7b1aa2e141f29" | |
| uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316" | |
| version = "0.15.18" | |
| [[LibCURL]] | |
| deps = ["LibCURL_jll", "MozillaCACerts_jll"] | |
| uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" | |
| version = "0.6.3" | |
| [[LibCURL_jll]] | |
| deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] | |
| uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" | |
| version = "7.84.0+0" | |
| [[LibGit2]] | |
| deps = ["Base64", "NetworkOptions", "Printf", "SHA"] | |
| uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" | |
| [[LibSSH2_jll]] | |
| deps = ["Artifacts", "Libdl", "MbedTLS_jll"] | |
| uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" | |
| version = "1.10.2+0" | |
| [[Libdl]] | |
| uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" | |
| [[Libffi_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290" | |
| uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490" | |
| version = "3.2.2+1" | |
| [[Libgcrypt_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"] | |
| git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae" | |
| uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4" | |
| version = "1.8.7+0" | |
| [[Libglvnd_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"] | |
| git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733" | |
| uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29" | |
| version = "1.6.0+0" | |
| [[Libgpg_error_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9" | |
| uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8" | |
| version = "1.42.0+0" | |
| [[Libiconv_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "c7cb1f5d892775ba13767a87c7ada0b980ea0a71" | |
| uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531" | |
| version = "1.16.1+2" | |
| [[Libmount_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73" | |
| uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9" | |
| version = "2.35.0+0" | |
| [[Libtiff_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"] | |
| git-tree-sha1 = "3eb79b0ca5764d4799c06699573fd8f533259713" | |
| uuid = "89763e89-9b03-5906-acba-b20f662cd828" | |
| version = "4.4.0+0" | |
| [[Libuuid_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066" | |
| uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700" | |
| version = "2.36.0+0" | |
| [[LinearAlgebra]] | |
| deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"] | |
| uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" | |
| [[LogExpFunctions]] | |
| deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"] | |
| git-tree-sha1 = "946607f84feb96220f480e0422d3484c49c00239" | |
| uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688" | |
| version = "0.3.19" | |
| [[Logging]] | |
| uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" | |
| [[LoggingExtras]] | |
| deps = ["Dates", "Logging"] | |
| git-tree-sha1 = "cedb76b37bc5a6c702ade66be44f831fa23c681e" | |
| uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36" | |
| version = "1.0.0" | |
| [[MIMEs]] | |
| git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb" | |
| uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" | |
| version = "0.1.4" | |
| [[MacroTools]] | |
| deps = ["Markdown", "Random"] | |
| git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2" | |
| uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09" | |
| version = "0.5.10" | |
| [[Markdown]] | |
| deps = ["Base64"] | |
| uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" | |
| [[MbedTLS]] | |
| deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"] | |
| git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b" | |
| uuid = "739be429-bea8-5141-9913-cc70e7f3736d" | |
| version = "1.1.7" | |
| [[MbedTLS_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" | |
| version = "2.28.0+0" | |
| [[Measures]] | |
| git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102" | |
| uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e" | |
| version = "0.3.2" | |
| [[Missings]] | |
| deps = ["DataAPI"] | |
| git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272" | |
| uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28" | |
| version = "1.1.0" | |
| [[Mmap]] | |
| uuid = "a63ad114-7e13-5084-954f-fe012c677804" | |
| [[MozillaCACerts_jll]] | |
| uuid = "14a3606d-f60d-562e-9121-12d972cd8159" | |
| version = "2022.10.11" | |
| [[NaNMath]] | |
| deps = ["OpenLibm_jll"] | |
| git-tree-sha1 = "a7c3d1da1189a1c2fe843a3bfa04d18d20eb3211" | |
| uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3" | |
| version = "1.0.1" | |
| [[NetworkOptions]] | |
| uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" | |
| version = "1.2.0" | |
| [[Ogg_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f" | |
| uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051" | |
| version = "1.3.5+1" | |
| [[OpenBLAS_jll]] | |
| deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] | |
| uuid = "4536629a-c528-5b80-bd46-f80d51c5b363" | |
| version = "0.3.21+0" | |
| [[OpenLibm_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "05823500-19ac-5b8b-9628-191a04bc5112" | |
| version = "0.8.1+0" | |
| [[OpenSSL]] | |
| deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"] | |
| git-tree-sha1 = "6503b77492fd7fcb9379bf73cd31035670e3c509" | |
| uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c" | |
| version = "1.3.3" | |
| [[OpenSSL_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "f6e9dba33f9f2c44e08a020b0caf6903be540004" | |
| uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" | |
| version = "1.1.19+0" | |
| [[OpenSpecFun_jll]] | |
| deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1" | |
| uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e" | |
| version = "0.5.5+0" | |
| [[Opus_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720" | |
| uuid = "91d4177d-7536-5919-b921-800302f37372" | |
| version = "1.3.2+0" | |
| [[OrderedCollections]] | |
| git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c" | |
| uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" | |
| version = "1.4.1" | |
| [[PCRE2_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15" | |
| version = "10.42.0+0" | |
| [[PDMats]] | |
| deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"] | |
| git-tree-sha1 = "cf494dca75a69712a72b80bc48f59dcf3dea63ec" | |
| uuid = "90014a1f-27ba-587c-ab20-58faa44d9150" | |
| version = "0.11.16" | |
| [[Parsers]] | |
| deps = ["Dates", "SnoopPrecompile"] | |
| git-tree-sha1 = "8175fc2b118a3755113c8e68084dc1a9e63c61ee" | |
| uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" | |
| version = "2.5.3" | |
| [[Pipe]] | |
| git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d" | |
| uuid = "b98c9c47-44ae-5843-9183-064241ee97a0" | |
| version = "1.3.0" | |
| [[Pixman_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29" | |
| uuid = "30392449-352a-5448-841d-b1acce4e97dc" | |
| version = "0.40.1+0" | |
| [[Pkg]] | |
| deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] | |
| uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" | |
| version = "1.9.0" | |
| [[PlotThemes]] | |
| deps = ["PlotUtils", "Statistics"] | |
| git-tree-sha1 = "1f03a2d339f42dca4a4da149c7e15e9b896ad899" | |
| uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a" | |
| version = "3.1.0" | |
| [[PlotUtils]] | |
| deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "SnoopPrecompile", "Statistics"] | |
| git-tree-sha1 = "5b7690dd212e026bbab1860016a6601cb077ab66" | |
| uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043" | |
| version = "1.3.2" | |
| [[Plots]] | |
| deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SnoopPrecompile", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"] | |
| git-tree-sha1 = "a99bbd3664bb12a775cda2eba7f3b2facf3dad94" | |
| uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | |
| version = "1.38.2" | |
| [[PlutoUI]] | |
| deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"] | |
| git-tree-sha1 = "eadad7b14cf046de6eb41f13c9275e5aa2711ab6" | |
| uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" | |
| version = "0.7.49" | |
| [[PooledArrays]] | |
| deps = ["DataAPI", "Future"] | |
| git-tree-sha1 = "a6062fe4063cdafe78f4a0a81cfffb89721b30e7" | |
| uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720" | |
| version = "1.4.2" | |
| [[Preferences]] | |
| deps = ["TOML"] | |
| git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d" | |
| uuid = "21216c6a-2e73-6563-6e65-726566657250" | |
| version = "1.3.0" | |
| [[PrettyTables]] | |
| deps = ["Crayons", "Formatting", "LaTeXStrings", "Markdown", "Reexport", "StringManipulation", "Tables"] | |
| git-tree-sha1 = "96f6db03ab535bdb901300f88335257b0018689d" | |
| uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d" | |
| version = "2.2.2" | |
| [[Printf]] | |
| deps = ["Unicode"] | |
| uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" | |
| [[Qt5Base_jll]] | |
| deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"] | |
| git-tree-sha1 = "0c03844e2231e12fda4d0086fd7cbe4098ee8dc5" | |
| uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1" | |
| version = "5.15.3+2" | |
| [[QuadGK]] | |
| deps = ["DataStructures", "LinearAlgebra"] | |
| git-tree-sha1 = "de191bc385072cc6c7ed3ffdc1caeed3f22c74d4" | |
| uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc" | |
| version = "2.7.0" | |
| [[REPL]] | |
| deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] | |
| uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" | |
| [[Random]] | |
| deps = ["SHA", "Serialization"] | |
| uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" | |
| [[RecipesBase]] | |
| deps = ["SnoopPrecompile"] | |
| git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8" | |
| uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01" | |
| version = "1.3.3" | |
| [[RecipesPipeline]] | |
| deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase", "SnoopPrecompile"] | |
| git-tree-sha1 = "e974477be88cb5e3040009f3767611bc6357846f" | |
| uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c" | |
| version = "0.6.11" | |
| [[Reexport]] | |
| git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" | |
| uuid = "189a3867-3050-52da-a836-e630ba90ab69" | |
| version = "1.2.2" | |
| [[RelocatableFolders]] | |
| deps = ["SHA", "Scratch"] | |
| git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691" | |
| uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" | |
| version = "1.0.0" | |
| [[Requires]] | |
| deps = ["UUIDs"] | |
| git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7" | |
| uuid = "ae029012-a4dd-5104-9daa-d747884805df" | |
| version = "1.3.0" | |
| [[Rmath]] | |
| deps = ["Random", "Rmath_jll"] | |
| git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f" | |
| uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa" | |
| version = "0.7.0" | |
| [[Rmath_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7" | |
| uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f" | |
| version = "0.3.0+0" | |
| [[SHA]] | |
| uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" | |
| version = "0.7.0" | |
| [[Scratch]] | |
| deps = ["Dates"] | |
| git-tree-sha1 = "f94f779c94e58bf9ea243e77a37e16d9de9126bd" | |
| uuid = "6c6a2e73-6563-6170-7368-637461726353" | |
| version = "1.1.1" | |
| [[SentinelArrays]] | |
| deps = ["Dates", "Random"] | |
| git-tree-sha1 = "c02bd3c9c3fc8463d3591a62a378f90d2d8ab0f3" | |
| uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c" | |
| version = "1.3.17" | |
| [[Serialization]] | |
| uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" | |
| [[ShiftedArrays]] | |
| git-tree-sha1 = "503688b59397b3307443af35cd953a13e8005c16" | |
| uuid = "1277b4bf-5013-50f5-be3d-901d8477a67a" | |
| version = "2.0.0" | |
| [[Showoff]] | |
| deps = ["Dates", "Grisu"] | |
| git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de" | |
| uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f" | |
| version = "1.0.3" | |
| [[SimpleBufferStream]] | |
| git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1" | |
| uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7" | |
| version = "1.1.0" | |
| [[SnoopPrecompile]] | |
| deps = ["Preferences"] | |
| git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c" | |
| uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c" | |
| version = "1.0.3" | |
| [[Sockets]] | |
| uuid = "6462fe0b-24de-5631-8697-dd941f90decc" | |
| [[SortingAlgorithms]] | |
| deps = ["DataStructures"] | |
| git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00" | |
| uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" | |
| version = "1.1.0" | |
| [[SparseArrays]] | |
| deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"] | |
| uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" | |
| [[SpecialFunctions]] | |
| deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"] | |
| git-tree-sha1 = "d75bda01f8c31ebb72df80a46c88b25d1c79c56d" | |
| uuid = "276daf66-3868-5448-9aa4-cd146d93841b" | |
| version = "2.1.7" | |
| [[Statistics]] | |
| deps = ["LinearAlgebra", "SparseArrays"] | |
| uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" | |
| version = "1.9.0" | |
| [[StatsAPI]] | |
| deps = ["LinearAlgebra"] | |
| git-tree-sha1 = "f9af7f195fb13589dd2e2d57fdb401717d2eb1f6" | |
| uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" | |
| version = "1.5.0" | |
| [[StatsBase]] | |
| deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"] | |
| git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916" | |
| uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" | |
| version = "0.33.21" | |
| [[StatsFuns]] | |
| deps = ["ChainRulesCore", "HypergeometricFunctions", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"] | |
| git-tree-sha1 = "ab6083f09b3e617e34a956b43e9d51b824206932" | |
| uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c" | |
| version = "1.1.1" | |
| [[StatsModels]] | |
| deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Printf", "REPL", "ShiftedArrays", "SparseArrays", "StatsBase", "StatsFuns", "Tables"] | |
| git-tree-sha1 = "a5e15f27abd2692ccb61a99e0854dfb7d48017db" | |
| uuid = "3eaba693-59b7-5ba5-a881-562e759f1c8d" | |
| version = "0.6.33" | |
| [[StringManipulation]] | |
| git-tree-sha1 = "46da2434b41f41ac3594ee9816ce5541c6096123" | |
| uuid = "892a3eda-7b42-436c-8928-eab12a02cf0e" | |
| version = "0.3.0" | |
| [[SuiteSparse]] | |
| deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"] | |
| uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9" | |
| [[SuiteSparse_jll]] | |
| deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"] | |
| uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c" | |
| version = "5.10.1+0" | |
| [[TOML]] | |
| deps = ["Dates"] | |
| uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" | |
| version = "1.0.3" | |
| [[TableTraits]] | |
| deps = ["IteratorInterfaceExtensions"] | |
| git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" | |
| uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" | |
| version = "1.0.1" | |
| [[Tables]] | |
| deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"] | |
| git-tree-sha1 = "c79322d36826aa2f4fd8ecfa96ddb47b174ac78d" | |
| uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" | |
| version = "1.10.0" | |
| [[Tar]] | |
| deps = ["ArgTools", "SHA"] | |
| uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" | |
| version = "1.10.0" | |
| [[TensorCore]] | |
| deps = ["LinearAlgebra"] | |
| git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6" | |
| uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50" | |
| version = "0.1.1" | |
| [[Test]] | |
| deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] | |
| uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | |
| [[TranscodingStreams]] | |
| deps = ["Random", "Test"] | |
| git-tree-sha1 = "94f38103c984f89cf77c402f2a68dbd870f8165f" | |
| uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" | |
| version = "0.9.11" | |
| [[Tricks]] | |
| git-tree-sha1 = "6bac775f2d42a611cdfcd1fb217ee719630c4175" | |
| uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" | |
| version = "0.1.6" | |
| [[URIs]] | |
| git-tree-sha1 = "ac00576f90d8a259f2c9d823e91d1de3fd44d348" | |
| uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" | |
| version = "1.4.1" | |
| [[UUIDs]] | |
| deps = ["Random", "SHA"] | |
| uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" | |
| [[Unicode]] | |
| uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" | |
| [[UnicodeFun]] | |
| deps = ["REPL"] | |
| git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf" | |
| uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1" | |
| version = "0.4.1" | |
| [[Unzip]] | |
| git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78" | |
| uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d" | |
| version = "0.2.0" | |
| [[Wayland_jll]] | |
| deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"] | |
| git-tree-sha1 = "ed8d92d9774b077c53e1da50fd81a36af3744c1c" | |
| uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89" | |
| version = "1.21.0+0" | |
| [[Wayland_protocols_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da" | |
| uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91" | |
| version = "1.25.0+0" | |
| [[WeakRefStrings]] | |
| deps = ["DataAPI", "InlineStrings", "Parsers"] | |
| git-tree-sha1 = "b1be2855ed9ed8eac54e5caff2afcdb442d52c23" | |
| uuid = "ea10d353-3f73-51f8-a26c-33c1cb351aa5" | |
| version = "1.4.2" | |
| [[WorkerUtilities]] | |
| git-tree-sha1 = "cd1659ba0d57b71a464a29e64dbc67cfe83d54e7" | |
| uuid = "76eceee3-57b5-4d4a-8e66-0e911cebbf60" | |
| version = "1.6.1" | |
| [[XML2_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "93c41695bc1c08c46c5899f4fe06d6ead504bb73" | |
| uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" | |
| version = "2.10.3+0" | |
| [[XSLT_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"] | |
| git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a" | |
| uuid = "aed1982a-8fda-507f-9586-7b0439959a61" | |
| version = "1.1.34+0" | |
| [[Xorg_libX11_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] | |
| git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527" | |
| uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" | |
| version = "1.6.9+4" | |
| [[Xorg_libXau_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e" | |
| uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" | |
| version = "1.0.9+4" | |
| [[Xorg_libXcursor_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"] | |
| git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd" | |
| uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724" | |
| version = "1.2.0+4" | |
| [[Xorg_libXdmcp_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4" | |
| uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" | |
| version = "1.1.3+4" | |
| [[Xorg_libXext_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" | |
| uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" | |
| version = "1.3.4+4" | |
| [[Xorg_libXfixes_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4" | |
| uuid = "d091e8ba-531a-589c-9de9-94069b037ed8" | |
| version = "5.0.3+4" | |
| [[Xorg_libXi_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"] | |
| git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246" | |
| uuid = "a51aa0fd-4e3c-5386-b890-e753decda492" | |
| version = "1.7.10+4" | |
| [[Xorg_libXinerama_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"] | |
| git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123" | |
| uuid = "d1454406-59df-5ea1-beac-c340f2130bc3" | |
| version = "1.1.4+4" | |
| [[Xorg_libXrandr_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"] | |
| git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631" | |
| uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484" | |
| version = "1.5.2+4" | |
| [[Xorg_libXrender_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" | |
| uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" | |
| version = "0.9.10+4" | |
| [[Xorg_libpthread_stubs_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" | |
| uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" | |
| version = "0.1.0+3" | |
| [[Xorg_libxcb_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] | |
| git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" | |
| uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" | |
| version = "1.13.0+3" | |
| [[Xorg_libxkbfile_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
| git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" | |
| uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" | |
| version = "1.1.0+4" | |
| [[Xorg_xcb_util_image_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" | |
| uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" | |
| version = "0.4.0+1" | |
| [[Xorg_xcb_util_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] | |
| git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" | |
| uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" | |
| version = "0.4.0+1" | |
| [[Xorg_xcb_util_keysyms_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" | |
| uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" | |
| version = "0.4.0+1" | |
| [[Xorg_xcb_util_renderutil_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" | |
| uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" | |
| version = "0.3.9+1" | |
| [[Xorg_xcb_util_wm_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" | |
| uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" | |
| version = "0.4.1+1" | |
| [[Xorg_xkbcomp_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] | |
| git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" | |
| uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" | |
| version = "1.4.2+4" | |
| [[Xorg_xkeyboard_config_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] | |
| git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" | |
| uuid = "33bec58e-1273-512f-9401-5d533626f822" | |
| version = "2.27.0+4" | |
| [[Xorg_xtrans_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" | |
| uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" | |
| version = "1.4.0+3" | |
| [[Zlib_jll]] | |
| deps = ["Libdl"] | |
| uuid = "83775a58-1f1d-513f-b197-d71354ab007a" | |
| version = "1.2.13+0" | |
| [[Zstd_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927" | |
| uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" | |
| version = "1.5.2+0" | |
| [[fzf_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56" | |
| uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" | |
| version = "0.29.0+0" | |
| [[libaom_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" | |
| uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" | |
| version = "3.4.0+0" | |
| [[libass_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" | |
| uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" | |
| version = "0.15.1+0" | |
| [[libblastrampoline_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" | |
| version = "5.2.0+0" | |
| [[libfdk_aac_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" | |
| uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" | |
| version = "2.0.2+0" | |
| [[libpng_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" | |
| uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" | |
| version = "1.6.38+0" | |
| [[libvorbis_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] | |
| git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" | |
| uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" | |
| version = "1.3.7+1" | |
| [[nghttp2_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" | |
| version = "1.48.0+0" | |
| [[p7zip_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" | |
| version = "17.4.0+0" | |
| [[x264_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" | |
| uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" | |
| version = "2021.5.5+0" | |
| [[x265_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" | |
| uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" | |
| version = "3.5.0+0" | |
| [[xkbcommon_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] | |
| git-tree-sha1 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a" | |
| uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" | |
| version = "1.4.1+0" | |
| """ | |
| # ╔═╡ Cell order: | |
| # ╟─f7f1cedd-c18a-4393-a875-c7f3a5cc785a | |
| # ╠═d155ea12-9628-11eb-347f-7754a33fd403 | |
| # ╠═b3642690-e8f3-4003-943d-5b9fd9878f67 | |
| # ╠═01506de2-918a-11eb-2a4d-c554a6e54631 | |
| # ╟─877deb2c-702b-457b-a54b-f27c277928d4 | |
| # ╟─36ce167f-382c-4b9a-be34-83250b10c4e5 | |
| # ╟─83912943-a847-420a-bfdb-450027b631e8 | |
| # ╠═280d112f-d34a-4cc4-9e3a-4ebbfcd5eb51 | |
| # ╠═b5031c96-db57-4baf-b271-6bb12e29de9b | |
| # ╠═c2f77e8f-a8c0-4144-a8b4-b25dd98ed234 | |
| # ╟─ad161b98-f4a1-42ac-ad4f-8b71fabcfde9 | |
| # ╠═8e422886-74ef-4c0f-be1e-fda238c8db44 | |
| # ╟─ca21122a-2522-482a-b7ef-bd73e96cb5a9 | |
| # ╟─41e05b1e-8b5e-45e3-91bb-01355ade9f3d | |
| # ╠═9d2e3861-ca36-406e-952d-831ca3947e44 | |
| # ╟─e73854ed-3581-41c4-ada5-e48242033759 | |
| # ╠═9873d944-b611-46f9-82a7-0cf714a3078c | |
| # ╠═2be44753-afee-4125-b6bc-8866d2293dc2 | |
| # ╟─6e07e8fb-fe51-4b37-bfb2-d1466e768754 | |
| # ╟─a755e58a-b16c-4d3b-a85f-81ccf374793f | |
| # ╟─f1e10fb7-adac-4083-8977-616a505fd591 | |
| # ╠═2e42986c-2de3-49e6-9c29-a7313c0b1da8 | |
| # ╟─22758dd6-9d04-4616-ba99-1430f2dedf9a | |
| # ╠═aff6a616-6d8b-4584-a6f2-195decef7774 | |
| # ╠═338da13a-3c26-4366-a669-ac3e24f31577 | |
| # ╠═5a742546-1e4d-4aee-bed1-cb10c543e439 | |
| # ╟─6a9c8c9a-fac7-42f7-976d-3168132cae48 | |
| # ╟─3c038b68-8676-4877-9720-38da7c4e0e0e | |
| # ╟─5a877e40-a101-4f7d-b2a1-ef4cfe5d8807 | |
| # ╟─83c28c76-2eab-49f9-9999-05df85054520 | |
| # ╟─ba671804-dc6d-415c-89de-9cf6294907b3 | |
| # ╟─e8683a71-5822-4491-9ccd-20e0fc3bf531 | |
| # ╠═0489e5d8-51ca-4955-83e1-95ea353d9cf2 | |
| # ╠═9a65aee4-ab8e-4ab7-be6f-cc2a2e9d5127 | |
| # ╟─c3539f42-6ca7-47fb-9707-4d11c9e76643 | |
| # ╟─469d809f-424f-4595-ad43-a5b2cc055304 | |
| # ╟─6128b8fd-9b85-4896-a0bf-934a0733fafb | |
| # ╠═9eb7caaa-438d-4bcb-9c54-4a0fa72c61de | |
| # ╠═0e8fce45-f1c0-41d4-996a-d6093182afee | |
| # ╠═71590890-38b6-440e-b61b-ece6c49ac602 | |
| # ╟─f7cc7146-9ee6-4d87-b024-2a91863f4b24 | |
| # ╟─f64815e2-44b8-4585-9269-9a62655c984c | |
| # ╟─feb3c45e-88f4-4ffc-a4a0-e89489187c8d | |
| # ╠═99069dd7-e088-4626-aa29-e48d6f9a474e | |
| # ╟─051a9e38-9a84-4ead-96fa-24c86c2b9f2d | |
| # ╟─2f33ee51-0725-46c2-9f1b-a61cd68abab1 | |
| # ╠═e4acd97b-22f7-4812-9898-1a485887a5f2 | |
| # ╠═4e413b40-81c4-4160-9d01-046c2d179a06 | |
| # ╟─7b94db0d-f46b-4621-9413-1dc787ae9a39 | |
| # ╠═51a28b67-ad64-4cf2-a0e6-a78fb101eb15 | |
| # ╠═d451af49-3139-4329-a885-a210b1760f74 | |
| # ╟─c7455f7a-9c72-42f5-8238-1799cad96f6c | |
| # ╟─d2971801-2cdb-4b9f-8ec8-c74cbb2a0b31 | |
| # ╠═e1e8c140-bc4e-400d-beb2-0986e071c3a3 | |
| # ╟─1429be09-a31f-415f-9c3d-f32b085ef68d | |
| # ╠═da321202-0dc5-44ad-aac0-f3ea0d229243 | |
| # ╟─2aceb366-a067-4271-9362-c320f4735ed1 | |
| # ╠═58f548fd-f6d0-479d-8469-bc886783f9a7 | |
| # ╟─07be9435-bc07-4a18-aad8-3ff19f5bcce4 | |
| # ╠═1a6ad08d-c3bb-47e7-bdee-156bbff3aeda | |
| # ╟─c55e4894-db71-4729-a1a1-5f68b45e3bf5 | |
| # ╠═f50d66eb-0357-4017-ac9b-99e63cd52dc0 | |
| # ╟─5c7a7361-f0e7-473a-9e38-226828aa00ca | |
| # ╠═acf0e90e-8f1f-451f-9f0f-70a0bcc7efca | |
| # ╟─c9f65e15-f222-4a88-98c2-9e1d8b5ec3eb | |
| # ╠═2589a369-8b21-406d-906d-71b18e4c7895 | |
| # ╟─ed6a0e6a-2d0c-4f77-9b08-1a5b5d56dd34 | |
| # ╠═61d1c1f7-e070-413b-8a92-76f44d237206 | |
| # ╟─94d80ad6-0403-4322-aa9f-647c291c19d7 | |
| # ╠═ce89b805-39a2-49e6-8781-c557aa73ed27 | |
| # ╠═75f9b5e9-775d-4767-9da6-222f977da686 | |
| # ╠═797c9f2f-0b85-4435-b1c0-edc8cf67f738 | |
| # ╠═6e0b2452-9f8b-4730-8072-a663704893c5 | |
| # ╠═bf537a3a-b7c6-4c64-8b44-85511c3d492e | |
| # ╟─1340818c-3391-420b-aa94-acaea8a47d7d | |
| # ╠═829607ff-25e0-4585-9c5c-d132ecb86cc8 | |
| # ╠═3fc0a4a8-6719-4920-99c7-bd576225214e | |
| # ╠═24a7ad28-936c-47dc-bc53-d1ddbf39d05d | |
| # ╟─9233dc6a-7578-4d72-b0c2-c3bb110a9fbe | |
| # ╠═07e02bb6-380d-40dd-86ad-19d713cd1657 | |
| # ╟─b14593ba-cb8c-4f28-8fb0-2d2df479357b | |
| # ╟─ac204681-b9df-471b-a22e-9d8f68679151 | |
| # ╟─08f43fff-fbd8-468f-8b3b-efd1829f4fc0 | |
| # ╠═43ec6124-c3e5-4f34-b0d9-1a0b069aa3e0 | |
| # ╠═3fe71215-bbf2-40e9-bcfc-0bc9b3ac94c8 | |
| # ╟─a2b27841-256e-4898-aeca-04c4f44138fb | |
| # ╟─8851dca3-e1a6-46b2-9745-f175ef0b0fae | |
| # ╟─ccfcb4d9-5a88-48fb-9568-1147a74f6eec | |
| # ╟─13858c0a-3e7a-4742-a821-97dd9a45109d | |
| # ╟─b2c3c1e5-e569-4c6f-bad9-055a25d73dce | |
| # ╠═305e4dfc-af7d-4667-8da8-a7ba5fd20fa6 | |
| # ╟─a648ba4f-fec4-4fa7-b328-1b52070224eb | |
| # ╠═d652df7d-7364-4da4-b51e-9fc88b978cda | |
| # ╟─2e530106-57a8-46a9-8f99-49a871d43255 | |
| # ╟─a990b133-ce50-4edf-81e1-1e78aeff8cd6 | |
| # ╟─3d0ea801-d66b-4e4e-90da-3a7dce28140d | |
| # ╟─6fb223bb-f193-414d-9144-df180d09bea1 | |
| # ╟─fb495ba4-52e6-4e0d-bd9c-981700edfebc | |
| # ╠═cdc4b25d-d05f-40c8-9c79-265876f01523 | |
| # ╟─967c5e3e-ab4c-45de-953c-aff6d16229af | |
| # ╟─00000000-0000-0000-0000-000000000001 | |
| # ╟─00000000-0000-0000-0000-000000000002 |
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