Posts

Today I learned that Triton has an orbital eccentricity is very low 0.000016 -->> almost perfectly circular

  I wondered why the eccentricity was so low, so I googled it and found that we don’t really know why it is so low.  (Triton also seems to be the only large moon with a retrograde orbit.  I think that it is also the only moon with an inclination larger than 10 degrees.  (The inclination of Triton’s orbit is 130 degrees ( 129.812° (to the ecliptic))).) https://astronomy.stackexchange.com/questions/19639/why-is-the-eccentricity-of-triton-so-low Moon Name      Eccentricity of Orbit Charon      0.0002 Triton      0.000016   (Retrograde, Large Inclination) Titania     0.0011 Oberon      0.0014 Titan       0.0288 IO          0.0041 Ganymede    0.0013 Deimos      0.00033 Phobos      0.0151 The Moon    0.059

Scott Young's Article - 10 Fundemental Practices for a Good Life

 Scott Young wrote 10 Fundemental Practices for a Good Life -  Establish an Airtight Productivity System Exercise Every Weekday. Read 30 Minutes, Each Day (a book?  learning reading?) Journal Weekly - Write a lot One Conversation Per Week with Someone Smarter Than You Track Every Purchase.   Fence In All Your Vices  (For me: Internet, TV, sugar, overeating) Wake Up on Time Every Morning - Journaling or quiet hobbies before bed.  Always Have a Major Project.  (Career projects, Learning projects, Fitness projects, Createive projects.)   One New Experience Each Week   For #3, I read the internet every day, but I'm usually not reading novels or non-fiction books though I have been for the last week.   #4 - I am writing a lot.  Probably 200 words a day and some LaTex Math.   I also keep a time journal that just documents what I'm doing and how I feel. #5 - I have very few conversations except with family.  I call my...

Ultimate Success Formula

 Tony Robbins Ultimate Success formula is:  (quoted from his website) Know Your Outcome . Be specific on WHAT you want! Know Your WHY.  When you know your why, the how’s will work itself out. Take Massive Action . Know What Your Getting.  You need to assess your progress. If you want to lose weight and body fat, you need to measure before you start, each Monday and at the end. Change Your Approach.  Based upon your assessment of your progress, you may need to work on some new strategies or beliefs. If you have hit a plateau or find yourself spiraling downhill, this is the time to ask for help. Spiraling often happen because we missed our opportunity to assess and missed the plateau that happened before the spiral. He says that you can use this formula to achieve any goal.   I like to add two more steps to this Know Your Outcome .  Know Your WHY.   Take Massive Action . Know What Your Getting.   Formulate Theories about the results you are ge...

Reaction to "Why you should write” by Preetam Nath

    So I just reread "Why you should write” by Preetam Nath. https://www.preetamnath.com/blog/why-you-should-write He uses this essay to encourage everybody to write.  He seems to think that any kind of habitual creative activity is good for you.  My own belief is that people have a historic ability to share their thoughts with the future of humanity and that everyone’s perspective is useful, thus, we believe that it is a good idea to write.  Habitual daily writing is good for historical records, sharing your unique perspective, and it makes writing itself much easier.  Writing is a very useful tool for businesses and journalling is both know to be good for your mental health and it documents your thoughts so that you can search through them later.  

Analyzing Slay the Spire and Sharing the Analysis with others

    So, I have played about 300 hours of Slay the Spire since I got it on July 26.  It’s a turn-based deck building game.  Many of these deck building games have interesting mathematics, so I have been devoting a fair amount of time to analyzing the game and writing about the game.    The most interesting theorem about the game is  D = h (( d - c b + w)/a + b/alpha) where D is the total damage that you take, h is the total amount of damage that you give to the enemy, d is the average attack per turn from the enemy, c is the average number of cards you play per turn, b is the average block per blocking card played, w is the average amount of waisted block per turn, and alpha is the average attack for the attack cards you played.      The nice thing about the formula is that h, d, c, b, and alpha are often precisely known or easy to calculate.  Also, a large portion of the reasonable strategies have w=0.  If you know h,d,c,b, and...

Aim for Pathetic

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...

What is the use of knowing more than 20 digits of pi?

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.