Math papers be like: Recall that the transpose of a matrix 𝐀, written as 𝐀ᵀ, is the matrix you get by flipping over its diagonal, swapping rows and columns. Let 𝐀 ∈ ℂⁿˣⁿ be a diagonalizable operator with Jordan canonical form 𝐉 = 𝐏⁻¹𝐀𝐏. Then for any analytic function 𝑓 defined on the spectrum σ(𝐀), the functional calculus gives 𝑓(𝐀) = 𝐏·𝑓(𝐉)·𝐏⁻¹, where 𝑓(𝐉) is obtained by applying 𝑓 to each Jordan block individually.