Hein's Thoughts

Sermon Notes: (A pathetic 100 word summary) on Reverend Denise's sermon Sept 27, 2020 (UUFCC State College PA)     Pathetic Spiritual Practice    "Aim for Pathetic."  We often try to commit a few hours a week to a goal.  Many times, we cannot keep up that level of commitment and we drop the goal when we are interrupted by illness or other high priority things.  During this time of coronavirus, let's aim for pathetic goals.  A pathetic visit with friends, pathetic sex, a pathetic date, pathetic exercise.  Aim for 5 or 10 minutes per day.  Any daily practice repeated for 8 to 10 weeks can change your life.      Spiritually, try for pathetic journalism (writing in a journal), short walks, listening  to music, a stretch (yoga), day dreaming, taking a photograph, or a short review of your day.  Talk to your friends, text, or post on social media about your life, your challenges, and these short spiritual practices---c...

I thought about it a lot last night and came up with some possible applications: 1) You can check your arbitrary precision integration software.  The integral of Sqrt(1-x^2) from x=-1 to x=1 should be pi/2.  The more digits of pi you know, the more precisely you can check your integration algorithm. 2) Similarly, you can check an arbitrary precision ODE solver.  If you get a numeric solution to y''+y=0 with y(0)=0 and y'(0)=1, then the solution at t=pi should be 0.  The more digits of pi you know, the more precisely you can check your solution. 3) You might conjecture that exp(i pi) = -1.  The more digits of pi that you know, the more precisely you can check your conjectures.