the sqrt and + functions can be composed like this:CHAPTER 8. FUNCTIONS 85 julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0CHAPTER 8. FUNCTIONS 86 8.18 Dot Syntax for Vectorizing Functions In technical-computing languages can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

the sqrt and + functions can be composed like this:CHAPTER 8. FUNCTIONS 85 julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0CHAPTER 8. FUNCTIONS 86 8.18 Dot Syntax for Vectorizing Functions In technical-computing languages can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0 9.18 Dot Syntax for Vectorizing Functions In technical-computing languages, it is common to have can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0 9.18 Dot Syntax for Vectorizing Functions In technical-computing languages, it is common to have can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0 9.18 Dot Syntax for Vectorizing Functions In technical-computing languages, it is common to have can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 CHAPTER 8. FUNCTIONS 75 This adds the numbers first, then finds the square root of the result. The 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0 CHAPTER 8. FUNCTIONS 76 8.18 Dot Syntax for Vectorizing Functions In technical-computing languages be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes 3.7416573867739413 julia> 1:3 .|> x -> x^2 |> sum |> sqrt 3-element Vector{Float64}: 1.0 2.0 3.0 9.18 Dot Syntax for Vectorizing Functions In technical-computing languages, it is common to have can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817

\circ. For example, the sqrt and + functions can be composed like this: julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 0.9092974268256817 exception if the vectors have different length). julia> f(x,y) = 3x + 4y; julia> A = [1.0, 2.0, 3.0]; julia> B = [4.0, 5.0, 6.0]; julia> f.(pi, A) 3-element Vector{Float64}: 13.42477796076938 17

\circ. For example, the sqrt and + func�ons can be composed like this: julia> (sqrt +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes can be applied to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Array{Float64,1}: 1.0 2.0 3.0 julia> sin.(A) 3-element Array{Float64,1}: 0.8414709848078965 0.9092974268256817 an excep�on if the vectors have different length). julia> f(x,y) = 3x + 4y; julia> A = [1.0, 2.0, 3.0]; julia> B = [4.0, 5.0, 6.0]; julia> f.(pi, A) 3-element Array{Float64,1}: 13.42477796076938 17

sqrt and + functions can be composed like this: CHAPTER 8. FUNCTIONS 71 julia> (sqrt ∘ +)(3, 6) 3.0 This adds the numbers first, then finds the square root of the result. The next example composes to all elements in the vector A like so: julia> A = [1.0, 2.0, 3.0] 3-element Vector{Float64}: 1.0 CHAPTER 8. FUNCTIONS 72 2.0 3.0 julia> sin.(A) 3-element Vector{Float64}: 0.8414709848078965 exception if the vectors have different length). julia> f(x,y) = 3x + 4y; julia> A = [1.0, 2.0, 3.0]; julia> B = [4.0, 5.0, 6.0]; julia> f.(pi, A) 3-element Vector{Float64}: 13.42477796076938 17