I’ve had a habit in recent years of using Calculus or any other kind of math as a way to relax. It used to be that I would grab a copy of my old Calculus book and read couple chapters or do a few problems. Sleep would be upon me before I could say…

Sorry, I dozed off thinking about it.

In any case, one of my hobbies is probability. I will lose sleep trying to determine certain odds. For example, if I roll three dice, what will be the most likely roll (10 or 11) and what are the odds in rolling it (one in eight for both). For a variation of that, I did some number crunching using modulus, a function that serves as a basis for a lot of number theory. Modulus, is simply the reaminder (for my purposes). So, the modulus of 10 divided by 3 is 1. Stated another way, MOD3 of 10 is 1.

For what it’s worth, I put some stuff on Sycarion dealing with modulus and the result of rolling three dice. I know, you’re thinking I need to get out more. Truth is, it is one of the things that helps me deal with tension. It’s why I can post angry posts one day and pretty level posts the next. Give the brain something to do and the heart can catch up in processing things.

I’m sure many would not consider MATHWORLD a vacation, but it feels like one to me. Thank goodness for wolfram.com.

Now, what are the odds of rolling an 7 on a six-sided die and a four-sided die added together…

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Comments

12 Responses to “Soothing Math”

  1. toeteaknow on May 14th, 2007 12:51 pm

    “I will lose sleep trying to determine certain odds.”

    three words…..’seek professional help!!’

    ttk

  2. mark on May 14th, 2007 1:34 pm

    I’m with TTK.

    1/6?

    (4 possible rolls: 3:4, 4:3, 5:2, 6:1, each of which has 1/6 * 1/4 = 1/24 probability, so 4/24 = 1/6).

    Did I get it right? Is there a prize?

  3. pinakidion on May 14th, 2007 1:59 pm

    No prize, but yes, it is one in 6.

    2 one in 24
    3 one in 12
    4 one in 8
    5 one in 6
    6 one in 6
    7 one in 6
    8 one in 8
    9 one in 12
    10 one in 24

    BTW: I said lose sleep? I reread it and I see I did. I meant to say I get sleepy. You know, I didn’t have that Calculus book nearby…

    In all seriousness, none of this is a substitute for the need to get professional help.

  4. mrtool on May 14th, 2007 5:15 pm

    i am with you pink. you know that when i can not sleep i do binary in may head. this takes my mind of the worries that are keeping me awake to begin with. talk to you soon

  5. mark on May 14th, 2007 6:22 pm

    For mrtool:

    That’s 1 in 110…

  6. mrtool on May 16th, 2007 6:43 am

    01100010 01101001 01101110 01100001 01110010 01111001 00100000 01110010 01110101 01101100 01100101 01110011 00100001 00100001 00100001

    http://nickciske.com/tools/binary.php

  7. Alan on May 17th, 2007 5:51 am

    Jung n trrx lbh ner!

    V jbaqre… Jung ner gur bqqf gung n thl jvgu uvf bja oybt vf n trrx? Svther gung bar bhg sbe zr!

    Nyna

  8. pinakidion on May 17th, 2007 8:11 am

    I could make a guess at the odds, but that would depend on your definition of trrx!

    EBG13 vf sha, abj gel EBG47

    xV5 D2J E96 @55D 2C6 23@FE d E@ c[ 3FE E92EVD ;FDE 2 8F6DD]

  9. rh on May 17th, 2007 8:52 am

    Hey! It worked! This discussion of math put me right to sleep! zzzzzzzzzzzz

  10. toeteaknow on May 17th, 2007 1:04 pm

    it didn’t put me to sleep……but I keep trying to clean my glasses!!!

    ttk

  11. rh on May 18th, 2007 8:13 am

    There are 3 kinds of people in the world: those who understand math, and those who don’t.

  12. beg on May 20th, 2007 7:58 am

    I haven’t done calculus for a long time. Sometimes I bring up the rdrrr joke from the simpsons.

    When I started college I listened to Def Leopard while doing calculus. Later on it was Motzart…..it was very relaxing.

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