(* ::Package:: *)

(************************************************************************)
(* This file was generated automatically by the Mathematica front end.  *)
(* It contains Initialization cells from a Notebook file, which         *)
(* typically will have the same name as this file except ending in      *)
(* ".nb" instead of ".m".                                               *)
(*                                                                      *)
(* This file is intended to be loaded into the Mathematica kernel using *)
(* the package loading commands Get or Needs.  Doing so is equivalent   *)
(* to using the Evaluate Initialization Cells menu command in the front *)
(* end.                                                                 *)
(*                                                                      *)
(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
(* automatically each time the parent Notebook file is saved in the     *)
(* Mathematica front end.  Any changes you make to this file will be    *)
(* overwritten.                                                         *)
(************************************************************************)



(* ::Input::Initialization:: *)
SetDirectory["C:\\drorbn\\AcademicPensieve\\Projects\\HigherRank"];
Once[<<KnotTheory`; <<Rot.m];
<< FormalGaussianIntegration.m;


(* ::Input::Initialization:: *)
Subscript[T, 3]=Subscript[T, 1] Subscript[T, 2];
\[ScriptCapitalS]={Subscript[x, __],Subscript[p, __]};
q[s_,i_,j_]:=Sum[Subscript[x, \[Alpha],i] (Subscript[p, \[Alpha],i]-Subscript[p, \[Alpha],i+1])+Subscript[x, \[Alpha],j] (Subscript[p, \[Alpha],j]-Subscript[p, \[Alpha],j+1])+Subscript[x, \[Alpha],i]((1-\!\(\*SubsuperscriptBox[\(T\), \(\[Alpha]\), \(s\)]\))Subscript[p, \[Alpha],i+1]+(\!\(
\*SubsuperscriptBox[\(T\), \(\[Alpha]\), \(s\)] - 1\))Subscript[p, \[Alpha],j+1]), {\[Alpha],3}];
\[ScriptCapitalL][Subscript[X, i_,j_][s_]]:=\!\(
\*SubsuperscriptBox[\(T\), \(3\), \(s\)] \(\[DoubleStruckCapitalE][\(-q[s, i, j]\) + \[Epsilon]\ 
\(\*SubscriptBox[\(r\), \(1\)]\)[s, i, j] + 
\*SuperscriptBox[\(O[\[Epsilon]]\), \(2\)]]\)\);
Subscript[vs, i_]:=Sequence[Subscript[p, 1,i],Subscript[x, 1,i],Subscript[p, 2,i],Subscript[x, 2,i],Subscript[p, 3,i],Subscript[x, 3,i]];



