pluto_affine_function.jl

### A Pluto.jl notebook ###
# v0.19.46

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

# ╔═╡ 50c3ca64-919a-4ae1-a778-4aa21096ca76
begin
	using PlutoUI
	using Plots
    using Symbolics
	using LaTeXStrings
	#using ForwardDiff
	#using Images
	#using TestImages
	#using ImageView
	#using LinearAlgebra
 	#using FFTW
 	#using DSP
end

# ╔═╡ 4527fef0-5851-4d55-bd88-b99870f859f3
begin
nbsp = html"&nbsp"
end

# ╔═╡ 76cb2ec2-fc76-4ad5-8d57-777395755f7f
md"""
## Affine function $\ $ $y=ax+b$  

"""

# ╔═╡ 092ba07e-4866-40c6-ade8-25d9c2218011
md"""
Slope 
$a$ = $(@bind a Slider(-10:0.1:10, show_value=true, default=1))  

Intercept 
$b$ = $(@bind b Slider(-10:0.1:10, show_value=true, default=0))
"""

# ╔═╡ adc0be40-10fd-4270-aedd-b0e1e8a7ce69


# ╔═╡ ab1c3d69-0499-4fad-b2a8-5360ed7339e1
begin
	x = range(-5, 5, length = 101)
	f= a*x+b*ones(length(x));
	c=0;
end

# ╔═╡ 8ed1312b-f5a3-4220-a865-9a12ed09a691
begin
    plot(f,grid=false,
		linewidth=2,
		ylim=(-20,20),
        title="\$y=ax+b\$",
        xticks = ([51,61], [0 1]),
		yticks = ([0],[0]),
		xlabel="\$x\$",
		ylabel="\$y\$",
	    label=:false)
	plot!([1,101],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([51,51],[-19,19],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([61,61],[-19,19],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	scatter!((51,b),markersize = 5,label="\$b\$", color=:red)
	scatter!((61,a+b),markersize = 5,label="\$a+b\$", color=:magenta)
end

# ╔═╡ 438abd15-e638-47dc-8499-a9ab3d41a73c


# ╔═╡ 63515570-50f8-45d1-9cdd-0b0d0f085a43


# ╔═╡ 31e3b9f8-465e-49b4-a6d3-4249dd14a27d
md"""
 $a$ = $(@bind a0 Slider(-10:0.1:10, show_value=true, default=1))  
 
 $p$ = $(@bind p0 Slider(-4:0.1:4, show_value=true, default=0)) 

 $q$ = $(@bind q0 Slider(-4:0.1:4, show_value=true, default=0))
"""

# ╔═╡ a780a761-5e4d-434e-8d11-e602d07b9d9b
begin
	x00 = range(-10, 10, length = 201)
	f00=a0*x00
	f01=a0*(x00-p0*ones(length(x00)))+(q0-0.1)*ones(length(x00))
	0;
end

# ╔═╡ da9be8a6-0d61-4e5b-957e-e28726a08ffc
begin
    plot([f00,f01],
		grid=false,
		linewidth=2,
		xlim=(-2,211),
		ylim=(-5.5,5.5),
        title="Parallel transport of \$y=ax\$",
        xticks = ([51 10*(p0+10)+1;], [0, "\$p\$"]),
		yticks = ([0 q0],[0, "\$q\$"]),
		xlabel="\$x\$",
		ylabel="\$y\$",
	    label=["\$y=ax\$" "\$y=a(x-p)+q\$"],
	    legendfontsize=12,
		labelfontsize=12,
		xtickfontsize=12,
		ytickfontsize=12,
		legend=:topleft,
		aspect_ratio=:10
	    )
	plot!([1,201],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([101,101],[-5,5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([10*(p0+10)+1,10*(p0+10)+1],[-5,5],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	plot!([1,201],[q0,q0],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	scatter!((10*(p0+10)+1,q0),markersize = 5,label="\$(p,q)\$", color=:magenta)
	scatter!((101,0),markersize = 5,label="\$(0,0)\$", color=:red)
end

# ╔═╡ 5268cbee-c311-4582-8699-d9f5be083baf


# ╔═╡ c7e2c310-4f45-4003-ad33-7acd179d12a6
begin
	t = range(-1, 5, length = 61)
	f1=t;
	f2=t-ones(length(t));
	z=0;
end

# ╔═╡ c07da875-b5d5-4e87-96ce-676f8436d3fe
begin
    plot([f1,f2],
		grid=false,
		linewidth=2,
		ylim=(-2.2,5),
        title="\$y=ax\$, \$y-q=a(x-p)\$",
        xticks = ([11 41], [0,"\$p\$"]),
		yticks = ([0 2],[0,"\$q\$"]),
		xlabel="\$x\$",
		ylabel="\$y\$",
	    label=["\$y=ax\$" "\$y-q=a(x-p)\$"])
	plot!([1,61],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([11,11],[-2,5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([41,41],[-2,5],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	plot!([1,61],[2,2],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	scatter!((11,0),markersize = 5,label="\$(0,0)\$", color=:red)
	scatter!((41,2),markersize = 5,label="\$(p,q)\$", color=:magenta)
end

# ╔═╡ 2e6986d8-8b3b-4fed-8fca-f7d9e7797c95


# ╔═╡ 54237fdd-2e60-4980-b905-ed336c1fe6cd
md"""
## Linear Systems

"""

# ╔═╡ 60dc6f18-6c57-4cdc-9638-b679a5bba41e
begin
	t1 = range(-1, 5, length = 61);
    h1=t1/2+ones(length(t1));
	h2=-2*t1+4*ones(length(t1));
	h3=t1/2+0.95*ones(length(t1));
	h4=t1/2+2*ones(length(t1));
	0;
end

# ╔═╡ 5e233fdf-66bb-44d4-b55b-c8ae7ce55fd7
begin
    plot([h1,h2],
		grid=false,
		linewidth=2,
		ylim=(-2.2,5),
        title="\$-x+2y=2\$, \$2x+y=4\$",
        xticks = ([11 23], [0,"\$6/5\$"]),
		yticks = ([0 8/5],[0,"\$8/5\$"]),
		xlabel="\$x\$",
		ylabel="\$y\$",
		legendfontsize=12,
	    label=["\$-x+2y=2\$" "\$2x+y=4\$"])
	plot!([1,61],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([11,11],[-2,5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([23,23],[-2,5],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	plot!([1,61],[8/5,8/5],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	scatter!((23,8/5),markersize = 5,label="\$(6/5,8/5)\$", color=:magenta)
	#savefig("linearsystem1.png")
end

# ╔═╡ 0a213e6e-67d5-4328-b431-b7bb73dfefcd
begin
    plot([h1,h3],
		grid=false,
		linewidth=2,
		ylim=(-2.2,5),
        title="\$-x+2y=2\$, \$-2x+4y=4\$",
        xticks = ([11], [0]),
		yticks = ([0],[0]),
		xlabel="\$x\$",
		ylabel="\$y\$",
		legendfontsize=12,
	    label=["\$-x+2y=2\$" "\$-2x+4y=4\$"])
	plot!([1,61],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([11,11],[-2,5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	#savefig("linearsystem2.png")
end

# ╔═╡ 0a2366a4-3d53-4518-99a1-2cceba8490d1
begin
    plot([h1,h4],
		grid=false,
		linewidth=2,
		ylim=(-2.2,5),
        title="\$-x+2y=2\$, \$-x+2y=4\$",
        xticks = ([11], [0]),
		yticks = ([0],[0]),
		xlabel="\$x\$",
		ylabel="\$y\$",
		legendfontsize=12,
	    label=["\$-x+2y=2\$" "\$-x+2y=4\$"])
	plot!([1,61],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([11,11],[-2,5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	#savefig("linearsystem3.png")
end

# ╔═╡ 23950250-c5fd-4956-b1ec-8642d9bea06e


# ╔═╡ 2feb4d84-a2d7-41eb-8131-fa80f027980d
md"""
## Quadratic Function and Square Root

"""

# ╔═╡ 023b92a4-d008-4177-bfae-0ede40645df9
begin
	t2 = range(0, 3.1, length = 1241);
    g1=t2;
	g2=t2.^2;
	g3=sqrt.(t2);
	0;
end

# ╔═╡ 1e3563da-8e9d-47c6-9622-77dae776c740
begin
    plot([g1,g2,g3],
		grid=false,
		linewidth=2,
		xlim=(-50,850),
		ylim=(-0.5,4.5),
        title="\$y=x\$, \$y=x^2\$, \$y=x^{1/2}\$",
        xticks = ([1 401 801;], [0,1,2]),
		yticks = ([0 1 2 3 4;],[0,1,2,3,4]),
		xlabel="\$x\$",
		ylabel="\$y\$",
	    label=["\$y=x\$" "\$y=x^2\$" "\$y=x^{1/2}\$"],
		legendfontsize=12,
		legend=:top,
		)
	plot!([-30,850],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([1,1],[-0.3,4.5],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	scatter!((400,1),markersize = 5,label="\$(1,1)\$", color=:magenta)
	#savefig("quadratic.png")
end

# ╔═╡ bc3c5a7c-3c9d-413c-b464-4d204b2688e0
begin
    plot([g1,g2,g3],
		grid=false,
		linewidth=2,
		xlim=(-50,1250),
		ylim=(-0.2,3.1),
        title="\$y=x\$, \$y=x^2\$, \$y=x^{1/2}\$",
        xticks = ([1 401 801 1201;], [0,1,2,3]),
		yticks = ([0 1 2 3;],[0,1,2,3]),
		xlabel="\$x\$",
		ylabel="\$y\$",
	    label=["\$y=x\$" "\$y=x^2\$" "\$y=x^{1/2}\$"],
		legendfontsize=14,
		legend=:bottomright,
		aspect_ratio=400
		)
	plot!([-30,1250],[0,0],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	plot!([1,1],[-0.1,3.1],label=false,
		  arrow=3,linewidth=1,linecolor=:black)
	scatter!((400,1),markersize = 5,label="\$(1,1)\$", color=:magenta)
	#savefig("quadratic2.png")
end

# ╔═╡ 568cad58-ae37-4eba-837d-80c1f2905477
md"""
## Axial Symmetry

"""

# ╔═╡ 0a16fa90-05b9-4a16-8453-69697ce43719
md"""
Slope $(@bind a1 Slider(-20:0.1:20, show_value=true, default=1))  
"""

# ╔═╡ 4d0d945a-9398-41c2-87b6-a05d45b30668
begin
	y = range(-3, 10, length = 131)
	g=a1*y;
	D=1+a1^2/100;
	C=1-a1^2/100;
	P1=30+(C*41+2*a1/10*(-20))/D;
	Q1=(2*a1/10*41-C*(-20))/D;
    P2=30+(C*61+2*a1/10*(-20))/D;
	Q2=(2*a1/10*61-C*(-20))/D;
	P3=30+(C*51+2*a1/10*(-10))/D;
	Q3=(2*a1/10*51-C*(-10))/D;
	d=0;
end

# ╔═╡ 31a639c0-f3a1-4c59-9cbb-598987d240da
begin
    plot(g,grid=false,
		linewidth=2,
		ylim=(-71,71),
		xlim=(-31,101),
        title="Axial Symmetry",
		axis=false,
		xticks=false,
		yticks=false,
	    label=false,
	    aspect_ratio=1.0)
	plot!([71,91],[-20,-20],label=false,linewidth=3,linecolor=:green)
	plot!([91,81],[-20,-10],label=false,linewidth=3,linecolor=:blue)
	plot!([81,71],[-10,-20],label=false,linewidth=3,linecolor=:red)
	plot!([P1,P2],[Q1,Q2],label=false,linewidth=3,linecolor=:green)
	plot!([P2,P3],[Q2,Q3],label=false,linewidth=3,linecolor=:blue)
	plot!([P3,P1],[Q3,Q1],label=false,linewidth=3,linecolor=:red)
	plot!([71,P1],[-20,Q1],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	plot!([91,P2],[-20,Q2],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	plot!([81,P3],[-10,Q3],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	#plot!([41,61],[-20,-20],label=false,linewidth=3,linecolor=:green)
	#plot!([61,51],[-20,-10],label=false,linewidth=3,linecolor=:blue)
	#plot!([51,41],[-10,-20],label=false,linewidth=3,linecolor=:red)
	#plot!([P1,P2],[Q1,Q2],label=false,linewidth=3,linecolor=:green)
	#plot!([P2,P3],[Q2,Q3],label=false,linewidth=3,linecolor=:blue)
	#plot!([P3,P1],[Q3,Q1],label=false,linewidth=3,linecolor=:red)
	#plot!([41,P1],[-20,Q1],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	#plot!([61,P2],[-20,Q2],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
	#plot!([51,P3],[-10,Q3],label=false,linewidth=1,linecolor=:black, linestyle =:dash)
end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

julia_version = "1.10.5"
manifest_format = "2.0"
project_hash = "37d0922e70a86f4b2bc390e26958d59420650f18"

[[deps.ADTypes]]
git-tree-sha1 = "f5c25e8a5b29b5e941b7408bc8cc79fea4d9ef9a"
uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
version = "0.1.6"

[[deps.AbstractAlgebra]]
deps = ["GroupsCore", "InteractiveUtils", "LinearAlgebra", "MacroTools", "Preferences", "Random", "RandomExtensions", "SparseArrays", "Test"]
git-tree-sha1 = "41b45260ad00b666558c16f7cd9db0e8af408ea1"
uuid = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
version = "0.31.1"

[[deps.AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "91bd53c39b9cbfb5ef4b015e8b582d344532bd0a"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.2.0"

[[deps.AbstractTrees]]
git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.4.4"

[[deps.Adapt]]
deps = ["LinearAlgebra", "Requires"]
git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.6.2"
weakdeps = ["StaticArrays"]

    [deps.Adapt.extensions]
    AdaptStaticArraysExt = "StaticArrays"

[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.1"

[[deps.ArrayInterface]]
deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "7.4.11"

    [deps.ArrayInterface.extensions]
    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
    ArrayInterfaceCUDAExt = "CUDA"
    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
    ArrayInterfaceTrackerExt = "Tracker"

    [deps.ArrayInterface.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"

[[deps.Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[deps.Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[deps.Bijections]]
git-tree-sha1 = "fe4f8c5ee7f76f2198d5c2a06d3961c249cce7bd"
uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
version = "0.1.4"

[[deps.BitFlags]]
git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d"
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
version = "0.1.7"

[[deps.Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+0"

[[deps.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"

[[deps.Calculus]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
version = "0.5.1"

[[deps.ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.16.0"

[[deps.CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.2"

[[deps.ColorSchemes]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
git-tree-sha1 = "d9a8f86737b665e15a9641ecbac64deef9ce6724"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.23.0"

[[deps.ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.4"

[[deps.ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.10.0"
weakdeps = ["SpecialFunctions"]

    [deps.ColorVectorSpace.extensions]
    SpecialFunctionsExt = "SpecialFunctions"

[[deps.Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.10"

[[deps.Combinatorics]]
git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
version = "1.0.2"

[[deps.CommonSolve]]
git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.4"

[[deps.CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"

[[deps.Compat]]
deps = ["UUIDs"]
git-tree-sha1 = "e460f044ca8b99be31d35fe54fc33a5c33dd8ed7"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "4.9.0"
weakdeps = ["Dates", "LinearAlgebra"]

    [deps.Compat.extensions]
    CompatLinearAlgebraExt = "LinearAlgebra"

[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "1.1.1+0"

[[deps.CompositeTypes]]
git-tree-sha1 = "02d2316b7ffceff992f3096ae48c7829a8aa0638"
uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
version = "0.1.3"

[[deps.ConcurrentUtilities]]
deps = ["Serialization", "Sockets"]
git-tree-sha1 = "5372dbbf8f0bdb8c700db5367132925c0771ef7e"
uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
version = "2.2.1"

[[deps.ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "fe2838a593b5f776e1597e086dcd47560d94e816"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.5.3"
weakdeps = ["IntervalSets", "StaticArrays"]

    [deps.ConstructionBase.extensions]
    ConstructionBaseIntervalSetsExt = "IntervalSets"
    ConstructionBaseStaticArraysExt = "StaticArrays"

[[deps.Contour]]
git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.6.2"

[[deps.DataAPI]]
git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.15.0"

[[deps.DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "3dbd312d370723b6bb43ba9d02fc36abade4518d"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.15"

[[deps.DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[deps.Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[deps.DelimitedFiles]]
deps = ["Mmap"]
git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
version = "1.9.1"

[[deps.DiffResults]]
deps = ["StaticArraysCore"]
git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.1.0"

[[deps.DiffRules]]
deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.15.1"

[[deps.Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[deps.Distributions]]
deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"]
git-tree-sha1 = "938fe2981db009f531b6332e31c58e9584a2f9bd"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.100"

    [deps.Distributions.extensions]
    DistributionsChainRulesCoreExt = "ChainRulesCore"
    DistributionsDensityInterfaceExt = "DensityInterface"

    [deps.Distributions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"

[[deps.DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.9.3"

[[deps.DomainSets]]
deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays", "Statistics"]
git-tree-sha1 = "51b4b84d33ec5e0955b55ff4b748b99ce2c3faa9"
uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
version = "0.6.7"

[[deps.Downloads]]
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
version = "1.6.0"

[[deps.DualNumbers]]
deps = ["Calculus", "NaNMath", "SpecialFunctions"]
git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566"
uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
version = "0.6.8"

[[deps.DynamicPolynomials]]
deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Pkg", "Reexport", "Test"]
git-tree-sha1 = "9b05a8bc04d7a9a9c7e9ee3b0fdf1584857b65dc"
uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
version = "0.5.2"

[[deps.EnumX]]
git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
version = "1.0.4"

[[deps.EpollShim_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
version = "0.0.20230411+0"

[[deps.ExceptionUnwrapping]]
deps = ["Test"]
git-tree-sha1 = "e90caa41f5a86296e014e148ee061bd6c3edec96"
uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
version = "0.1.9"

[[deps.Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.5.0+0"

[[deps.ExprTools]]
git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.10"

[[deps.FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[deps.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"

[[deps.FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"

[[deps.FillArrays]]
deps = ["LinearAlgebra", "Random"]
git-tree-sha1 = "a20eaa3ad64254c61eeb5f230d9306e937405434"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "1.6.1"
weakdeps = ["SparseArrays", "Statistics"]

    [deps.FillArrays.extensions]
    FillArraysSparseArraysExt = "SparseArrays"
    FillArraysStatisticsExt = "Statistics"

[[deps.FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[deps.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"

[[deps.Formatting]]
deps = ["Printf"]
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
version = "0.4.2"

[[deps.ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.36"
weakdeps = ["StaticArrays"]

    [deps.ForwardDiff.extensions]
    ForwardDiffStaticArraysExt = "StaticArrays"

[[deps.FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "d8db6a5a2fe1381c1ea4ef2cab7c69c2de7f9ea0"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.13.1+0"

[[deps.FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.10+0"

[[deps.FunctionWrappers]]
git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.3"

[[deps.FunctionWrappersWrappers]]
deps = ["FunctionWrappers"]
git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8"
uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf"
version = "0.1.3"

[[deps.Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[deps.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"

[[deps.GPUArraysCore]]
deps = ["Adapt"]
git-tree-sha1 = "2d6ca471a6c7b536127afccfa7564b5b39227fe0"
uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
version = "0.1.5"

[[deps.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 = "d73afa4a2bb9de56077242d98cf763074ab9a970"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.72.9"

[[deps.GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "1596bab77f4f073a14c62424283e7ebff3072eca"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.72.9+1"

[[deps.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"

[[deps.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"

[[deps.Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[deps.Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[deps.Groebner]]
deps = ["AbstractAlgebra", "Combinatorics", "Logging", "MultivariatePolynomials", "Primes", "Random", "SIMD", "SnoopPrecompile"]
git-tree-sha1 = "17c81e8dd04cc8f70bccf8c50aa2d39f5ff2a3ec"
uuid = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
version = "0.4.2"

[[deps.GroupsCore]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "9e1a5e9f3b81ad6a5c613d181664a0efc6fe6dd7"
uuid = "d5909c97-4eac-4ecc-a3dc-fdd0858a4120"
version = "0.4.0"

[[deps.HTTP]]
deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
git-tree-sha1 = "cb56ccdd481c0dd7f975ad2b3b62d9eda088f7e2"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "1.9.14"

[[deps.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"

[[deps.HypergeometricFunctions]]
deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
git-tree-sha1 = "f218fe3736ddf977e0e772bc9a586b2383da2685"
uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
version = "0.3.23"

[[deps.Hyperscript]]
deps = ["Test"]
git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9"
uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
version = "0.0.4"

[[deps.HypertextLiteral]]
deps = ["Tricks"]
git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9"
uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
version = "0.9.4"

[[deps.IOCapture]]
deps = ["Logging", "Random"]
git-tree-sha1 = "d75853a0bdbfb1ac815478bacd89cd27b550ace6"
uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
version = "0.2.3"

[[deps.IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"

[[deps.IntegerMathUtils]]
git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
version = "0.1.2"

[[deps.InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[deps.IntervalSets]]
deps = ["Dates", "Random"]
git-tree-sha1 = "8e59ea773deee525c99a8018409f64f19fb719e6"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.7.7"
weakdeps = ["Statistics"]

    [deps.IntervalSets.extensions]
    IntervalSetsStatisticsExt = "Statistics"

[[deps.IrrationalConstants]]
git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.2.2"

[[deps.IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[deps.JLFzf]]
deps = ["Pipe", "REPL", "Random", "fzf_jll"]
git-tree-sha1 = "f377670cda23b6b7c1c0b3893e37451c5c1a2185"
uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
version = "0.1.5"

[[deps.JLLWrappers]]
deps = ["Artifacts", "Preferences"]
git-tree-sha1 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.5.0"

[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.4"

[[deps.JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6f2675ef130a300a112286de91973805fcc5ffbc"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "2.1.91+0"

[[deps.LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.1+0"

[[deps.LERC_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
version = "3.0.0+1"

[[deps.LLVMOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f689897ccbe049adb19a065c495e75f372ecd42b"
uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
version = "15.0.4+0"

[[deps.LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.1+0"

[[deps.LaTeXStrings]]
git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.0"

[[deps.LabelledArrays]]
deps = ["ArrayInterface", "ChainRulesCore", "ForwardDiff", "LinearAlgebra", "MacroTools", "PreallocationTools", "RecursiveArrayTools", "StaticArrays"]
git-tree-sha1 = "cd04158424635efd05ff38d5f55843397b7416a9"
uuid = "2ee39098-c373-598a-b85f-a56591580800"
version = "1.14.0"

[[deps.LambertW]]
git-tree-sha1 = "c5ffc834de5d61d00d2b0e18c96267cffc21f648"
uuid = "984bce1d-4616-540c-a9ee-88d1112d94c9"
version = "0.4.6"

[[deps.Latexify]]
deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
git-tree-sha1 = "f428ae552340899a935973270b8d98e5a31c49fe"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.16.1"

    [deps.Latexify.extensions]
    DataFramesExt = "DataFrames"
    SymEngineExt = "SymEngine"

    [deps.Latexify.weakdeps]
    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"

[[deps.Lazy]]
deps = ["MacroTools"]
git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0"
version = "0.15.1"

[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.4"

[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "8.4.0+0"

[[deps.LibGit2]]
deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[deps.LibGit2_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
version = "1.6.4+0"

[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.11.0+1"

[[deps.Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[deps.Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+1"

[[deps.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"

[[deps.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"

[[deps.Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.42.0+0"

[[deps.Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c7cb1f5d892775ba13767a87c7ada0b980ea0a71"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.1+2"

[[deps.Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.35.0+0"

[[deps.Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "2da088d113af58221c52828a80378e16be7d037a"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.5.1+1"

[[deps.Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.36.0+0"

[[deps.LinearAlgebra]]
deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[deps.LogExpFunctions]]
deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "7d6dd4e9212aebaeed356de34ccf262a3cd415aa"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.26"

    [deps.LogExpFunctions.extensions]
    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"

    [deps.LogExpFunctions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[deps.LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "a03c77519ab45eb9a34d3cfe2ca223d79c064323"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "1.0.1"

[[deps.MIMEs]]
git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb"
uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65"
version = "0.1.4"

[[deps.MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "9ee1618cbf5240e6d4e0371d6f24065083f60c48"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.11"

[[deps.Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[deps.MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.1.7"

[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.2+1"

[[deps.Measures]]
git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.2"

[[deps.Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.1.0"

[[deps.Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2023.1.10"

[[deps.MultivariatePolynomials]]
deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
git-tree-sha1 = "f9978f23952b52b8d958b72f8b5368f84254dc02"
uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
version = "0.5.1"

[[deps.MutableArithmetics]]
deps = ["LinearAlgebra", "SparseArrays", "Test"]
git-tree-sha1 = "5879579adbd9bc3017fe63c766371aace1a1d641"
uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
version = "1.3.1"

[[deps.NaNMath]]
deps = ["OpenLibm_jll"]
git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "1.0.2"

[[deps.NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
version = "1.2.0"

[[deps.Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+1"

[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.23+4"

[[deps.OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
version = "0.8.1+2"

[[deps.OpenSSL]]
deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2"
uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
version = "1.4.1"

[[deps.OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "bbb5c2115d63c2f1451cb70e5ef75e8fe4707019"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.22+0"

[[deps.OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[deps.Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.2+0"

[[deps.OrderedCollections]]
git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.6.2"

[[deps.PCRE2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
version = "10.42.0+1"

[[deps.PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "67eae2738d63117a196f497d7db789821bce61d1"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.17"

[[deps.Parsers]]
deps = ["Dates", "PrecompileTools", "UUIDs"]
git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.7.2"

[[deps.Pipe]]
git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
version = "1.3.0"

[[deps.Pixman_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.42.2+0"

[[deps.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 = "1.10.0"

[[deps.PlotThemes]]
deps = ["PlotUtils", "Statistics"]
git-tree-sha1 = "1f03a2d339f42dca4a4da149c7e15e9b896ad899"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "3.1.0"

[[deps.PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.3.5"

[[deps.Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
git-tree-sha1 = "9f8675a55b37a70aa23177ec110f6e3f4dd68466"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.38.17"

    [deps.Plots.extensions]
    FileIOExt = "FileIO"
    GeometryBasicsExt = "GeometryBasics"
    IJuliaExt = "IJulia"
    ImageInTerminalExt = "ImageInTerminal"
    UnitfulExt = "Unitful"

    [deps.Plots.weakdeps]
    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"

[[deps.PlutoUI]]
deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"]
git-tree-sha1 = "e47cd150dbe0443c3a3651bc5b9cbd5576ab75b7"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.52"

[[deps.PreallocationTools]]
deps = ["Adapt", "ArrayInterface", "ForwardDiff", "Requires"]
git-tree-sha1 = "f739b1b3cc7b9949af3b35089931f2b58c289163"
uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
version = "0.4.12"

    [deps.PreallocationTools.extensions]
    PreallocationToolsReverseDiffExt = "ReverseDiff"

    [deps.PreallocationTools.weakdeps]
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"

[[deps.PrecompileTools]]
deps = ["Preferences"]
git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f"
uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
version = "1.2.0"

[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.4.0"

[[deps.Primes]]
deps = ["IntegerMathUtils"]
git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489"
uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
version = "0.5.4"

[[deps.Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[deps.Qt6Base_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_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 = "364898e8f13f7eaaceec55fd3d08680498c0aa6e"
uuid = "c0090381-4147-56d7-9ebc-da0b1113ec56"
version = "6.4.2+3"

[[deps.QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "6ec7ac8412e83d57e313393220879ede1740f9ee"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.8.2"

[[deps.REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[deps.Random]]
deps = ["SHA"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[deps.RandomExtensions]]
deps = ["Random", "SparseArrays"]
git-tree-sha1 = "062986376ce6d394b23d5d90f01d81426113a3c9"
uuid = "fb686558-2515-59ef-acaa-46db3789a887"
version = "0.4.3"

[[deps.RecipesBase]]
deps = ["PrecompileTools"]
git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.3.4"

[[deps.RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.6.12"

[[deps.RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
git-tree-sha1 = "7ed35fb5f831aaf09c2d7c8736d44667a1afdcb0"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.38.7"

    [deps.RecursiveArrayTools.extensions]
    RecursiveArrayToolsMeasurementsExt = "Measurements"
    RecursiveArrayToolsTrackerExt = "Tracker"
    RecursiveArrayToolsZygoteExt = "Zygote"

    [deps.RecursiveArrayTools.weakdeps]
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[deps.RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "1.0.0"

[[deps.Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

[[deps.Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.1"

[[deps.Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.4.0+0"

[[deps.RuntimeGeneratedFunctions]]
deps = ["ExprTools", "SHA", "Serialization"]
git-tree-sha1 = "6aacc5eefe8415f47b3e34214c1d79d2674a0ba2"
uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
version = "0.5.12"

[[deps.SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
version = "0.7.0"

[[deps.SIMD]]
deps = ["PrecompileTools"]
git-tree-sha1 = "0e270732477b9e551d884e6b07e23bb2ec947790"
uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
version = "3.4.5"

[[deps.SciMLBase]]
deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
git-tree-sha1 = "04370090604cd399db5bebddb636d80ab9d338e9"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "1.94.0"

[[deps.SciMLOperators]]
deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
git-tree-sha1 = "65c2e6ced6f62ea796af251eb292a0e131a3613b"
uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
version = "0.3.6"

[[deps.Scratch]]
deps = ["Dates"]
git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.2.0"

[[deps.Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[deps.Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "1.1.1"

[[deps.Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[deps.SimpleBufferStream]]
git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
version = "1.1.0"

[[deps.SnoopPrecompile]]
deps = ["Preferences"]
git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
version = "1.0.3"

[[deps.Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[deps.SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.1.1"

[[deps.SparseArrays]]
deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
version = "1.10.0"

[[deps.SpecialFunctions]]
deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.3.1"
weakdeps = ["ChainRulesCore"]

    [deps.SpecialFunctions.extensions]
    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"

[[deps.StaticArrays]]
deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
git-tree-sha1 = "9cabadf6e7cd2349b6cf49f1915ad2028d65e881"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.6.2"
weakdeps = ["Statistics"]

    [deps.StaticArrays.extensions]
    StaticArraysStatisticsExt = "Statistics"

[[deps.StaticArraysCore]]
git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
version = "1.4.2"

[[deps.Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
version = "1.10.0"

[[deps.StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "45a7769a04a3cf80da1c1c7c60caf932e6f4c9f7"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.6.0"

[[deps.StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.34.0"

[[deps.StatsFuns]]
deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "1.3.0"

    [deps.StatsFuns.extensions]
    StatsFunsChainRulesCoreExt = "ChainRulesCore"
    StatsFunsInverseFunctionsExt = "InverseFunctions"

    [deps.StatsFuns.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.2.1+1"

[[deps.SymbolicIndexingInterface]]
deps = ["DocStringExtensions"]
git-tree-sha1 = "f8ab052bfcbdb9b48fad2c80c873aa0d0344dfe5"
uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
version = "0.2.2"

[[deps.SymbolicUtils]]
deps = ["AbstractTrees", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "TimerOutputs", "Unityper"]
git-tree-sha1 = "9704a1d0ecbbf5d65700418dcf1bb4c680c790bb"
uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
version = "1.2.0"

[[deps.Symbolics]]
deps = ["ArrayInterface", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "Groebner", "IfElse", "LaTeXStrings", "LambertW", "Latexify", "Libdl", "LinearAlgebra", "MacroTools", "Markdown", "NaNMath", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
git-tree-sha1 = "f1d43a0dbb553890195e49fb599ea51d0e97a5ef"
uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
version = "5.5.1"

    [deps.Symbolics.extensions]
    SymbolicsSymPyExt = "SymPy"

    [deps.Symbolics.weakdeps]
    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.3"

[[deps.TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.10.1"

[[deps.Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.0"

[[deps.TensorCore]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
version = "0.1.1"

[[deps.Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[deps.TimerOutputs]]
deps = ["ExprTools", "Printf"]
git-tree-sha1 = "f548a9e9c490030e545f72074a41edfd0e5bcdd7"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.23"

[[deps.TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.13"

[[deps.TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[deps.Tricks]]
git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.7"

[[deps.TruncatedStacktraces]]
deps = ["InteractiveUtils", "MacroTools", "Preferences"]
git-tree-sha1 = "ea3e54c2bdde39062abf5a9758a23735558705e1"
uuid = "781d530d-4396-4725-bb49-402e4bee1e77"
version = "1.4.0"

[[deps.URIs]]
git-tree-sha1 = "b7a5e99f24892b6824a954199a45e9ffcc1c70f0"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.5.0"

[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[deps.UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[deps.Unitful]]
deps = ["Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "a72d22c7e13fe2de562feda8645aa134712a87ee"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.17.0"

    [deps.Unitful.extensions]
    ConstructionBaseUnitfulExt = "ConstructionBase"
    InverseFunctionsUnitfulExt = "InverseFunctions"

    [deps.Unitful.weakdeps]
    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.UnitfulLatexify]]
deps = ["LaTeXStrings", "Latexify", "Unitful"]
git-tree-sha1 = "e2d817cc500e960fdbafcf988ac8436ba3208bfd"
uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
version = "1.6.3"

[[deps.Unityper]]
deps = ["ConstructionBase"]
git-tree-sha1 = "21c8fc7cd598ef49f11bc9e94871f5d7740e34b9"
uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415"
version = "0.1.5"

[[deps.Unzip]]
git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.2.0"

[[deps.Wayland_jll]]
deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "ed8d92d9774b077c53e1da50fd81a36af3744c1c"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.21.0+0"

[[deps.Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.25.0+0"

[[deps.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"

[[deps.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"

[[deps.XZ_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "cf2c7de82431ca6f39250d2fc4aacd0daa1675c0"
uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
version = "5.4.4+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.8.6+0"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.11+0"

[[deps.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"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.4+0"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.1+0"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.15.0+0"

[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.2+0"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.6+0"

[[deps.Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.39.0+0"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.5.0+0"

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.13+1"

[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.5+0"

[[deps.fzf_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56"
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
version = "0.29.0+0"

[[deps.libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.4.0+0"

[[deps.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"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.11.0+0"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.52.0+1"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+2"

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[deps.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:
# ╟─50c3ca64-919a-4ae1-a778-4aa21096ca76
# ╟─4527fef0-5851-4d55-bd88-b99870f859f3
# ╟─76cb2ec2-fc76-4ad5-8d57-777395755f7f
# ╟─092ba07e-4866-40c6-ade8-25d9c2218011
# ╟─8ed1312b-f5a3-4220-a865-9a12ed09a691
# ╟─adc0be40-10fd-4270-aedd-b0e1e8a7ce69
# ╟─ab1c3d69-0499-4fad-b2a8-5360ed7339e1
# ╠═438abd15-e638-47dc-8499-a9ab3d41a73c
# ╠═63515570-50f8-45d1-9cdd-0b0d0f085a43
# ╟─a780a761-5e4d-434e-8d11-e602d07b9d9b
# ╟─31e3b9f8-465e-49b4-a6d3-4249dd14a27d
# ╟─da9be8a6-0d61-4e5b-957e-e28726a08ffc
# ╠═5268cbee-c311-4582-8699-d9f5be083baf
# ╟─c07da875-b5d5-4e87-96ce-676f8436d3fe
# ╟─c7e2c310-4f45-4003-ad33-7acd179d12a6
# ╠═2e6986d8-8b3b-4fed-8fca-f7d9e7797c95
# ╟─54237fdd-2e60-4980-b905-ed336c1fe6cd
# ╟─60dc6f18-6c57-4cdc-9638-b679a5bba41e
# ╟─5e233fdf-66bb-44d4-b55b-c8ae7ce55fd7
# ╟─0a213e6e-67d5-4328-b431-b7bb73dfefcd
# ╟─0a2366a4-3d53-4518-99a1-2cceba8490d1
# ╠═23950250-c5fd-4956-b1ec-8642d9bea06e
# ╟─2feb4d84-a2d7-41eb-8131-fa80f027980d
# ╟─023b92a4-d008-4177-bfae-0ede40645df9
# ╟─1e3563da-8e9d-47c6-9622-77dae776c740
# ╟─bc3c5a7c-3c9d-413c-b464-4d204b2688e0
# ╟─568cad58-ae37-4eba-837d-80c1f2905477
# ╟─0a16fa90-05b9-4a16-8453-69697ce43719
# ╟─31a639c0-f3a1-4c59-9cbb-598987d240da
# ╟─4d0d945a-9398-41c2-87b6-a05d45b30668
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002