From bdfbf32258d85d5cccae59c843cfe07aade07b8a Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 25 Oct 2021 09:48:56 +0200 Subject: Work. --- caselle_compare.nb | 377 +++- new_schofield.nb | 6062 ++++++++++++++++++++++++++++++---------------------- schofield.py | 34 + 3 files changed, 3748 insertions(+), 2725 deletions(-) create mode 100644 schofield.py diff --git a/caselle_compare.nb b/caselle_compare.nb index 95f0b08..7932af0 100644 --- a/caselle_compare.nb +++ b/caselle_compare.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 195819, 4365] -NotebookOptionsPosition[ 185470, 4185] -NotebookOutlinePosition[ 185872, 4201] -CellTagsIndexPosition[ 185829, 4198] +NotebookDataLength[ 201218, 4506] +NotebookOptionsPosition[ 190375, 4317] +NotebookOutlinePosition[ 190816, 4334] +CellTagsIndexPosition[ 190773, 4331] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -28,7 +28,7 @@ Cell[BoxData[ 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= Rational(1/8) +δ = 15 +α = 0 +σ = Rational(5, 6) +Δ = β * δ + +s = 2**Rational(1, 12) * exp(-β) * glaisher**Rational(3, 2) + +def f(B, θc, θ): + return (θc * Ei(-1 / (B * θc)) * exp(1 / (B * θc)) + (θ - θc) * Ei(1/(B * (θ - θc))) * exp(-1/(B * (θ - θc)))) / pi + +def FH(θ0, θ): + return (θ**2 + θ0**2)**σ - (θ0**2)**σ + +def FR(AL, AH, As, B, θc, θ0, θ): + return AL * f(B, θc, -θ) + AH * FH(θ0, θ) + sum([A * θ**(2 * i + 2) for i,A in enumerate(As)]) + +def F(AL, AH, As, B, θc, θ0, θ): + return FR(AL, AH, As, B, θc, θ0, θ) + AL * f(B, θc, θ) + +def dfc(AL, B, m): + if m == 0: + return AL * θc * Ei(-1 / (B * θc)) * exp(1 / (B * θc)) / pi + elif m == 1: + return 0 + else: + return AL * factorial(m) * factorial(m - 2) * B**(m-1) / pi + +def dFc(AL, AH, As, B, θc, θ0, m): + θ = Symbol['θ'] + return dfc(AL, B, m) + diff(FR(AL, AH, As, B, θc, θ0, θ), θ).subs(θ, θc) -- cgit v1.2.3-54-g00ecf