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Copy file name to clipboardExpand all lines: src/images_abstractions/newton_method.jl
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#> title = "The Newton Method"
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#> layout = "layout.jlhtml"
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#> youtube_id = "Wjcx9sNSLP8"
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#> description = ""
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#> tags = ["lecture", "module1"]
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#> description = "This lecture explains a method for finding the root of a function, but using code an illustrations instead of a chalkboard! We will illustrate the Newton method using the ForwardDiff.jl package to carry out automatic differentiation, but we will also try to understand what's going on \"under the hood\"."
Copy file name to clipboardExpand all lines: src/images_abstractions/transformations2.jl
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#> title = "Transformations II: Composability, Linearity and Nonlinearity"
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#> layout = "layout.jlhtml"
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#> youtube_id = "VDPf3RjoCpY"
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#> description = ""
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#> tags = ["lecture", "module1"]
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#> description = "Let's see what mathematical transformations, inverses, composition and (non-)linearity look like in practice. (i.e. applied to philip.jpg)"
### 4.1.6 Automatic Differentiation of Transformations
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### Automatic Differentiation of Transformations
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"""
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# ╔═╡ 9786e2be-76be-11eb-3755-b5669c37aa64
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# ╔═╡ ad728ee6-7639-11eb-0b23-c37f1366fb4e
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md"""
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## 4.2 But what is a transformation, really?
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## But what is a transformation, really?
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You have very likely learned how to multiply matrices times vectors. I'll bet you think of a matrix as a table of numbers, and a vector as a column of numbers, and if you are well practiced, you know just when to multiply and just when to add.
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Congratulations, you now can do what computers excel at.
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Computer Science
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Solving 2 equations in 2 unknowns, and higher dimensional analogs.
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THe top 500 supercomputers, and how many equations in how many unknowns are being solved today.
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The top 500 supercomputers, and how many equations in how many unknowns are being solved today.
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"""
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# ╔═╡ a66eb6fe-76b3-11eb-1d50-659ec2bf7c44
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md"""
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### 4.4 Automatic Differentiation in 10 mins(ok 11)
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