CrossFit Discussion Board  

Go Back   CrossFit Discussion Board > Community > Stuff and Nonsense
CrossFit Home Forum Site Rules CrossFit FAQ Search Today's Posts Mark Forums Read

Stuff and Nonsense For off-topic chatter. Keep it PG-13; no sex, politics or religion!

Reply
 
Thread Tools
Old 11-16-2008, 03:02 AM   #21
Derek Maffett
Member Derek Maffett is offline
 
Profile:
Join Date: Jul 2007
Location: Castle Rock  WA
Posts: 3,544
Re: Math Equations Encountered in CF

Note from the developers:

"We apologize for any inconveniences caused by the system crash. Problems with keyboard input are being corrected as of now. Please be patient until legibility is completely restored."
  Reply With Quote
Old 11-16-2008, 03:02 PM   #22
David Wood
Departed David Wood is offline
 
Profile:
Join Date: Oct 2002
 
Posts: 3,303
Re: Math Equations Encountered in CF

Useful trick with series:

The sum of reps done in rounds from 1 rep, 2 reps, 3, . . . n-1, n, n-1, n-2, . . . 3, 2, 1 = n squared.

So, 1 + 2 + 3 + . . . + 9 + 10 + 9 + 8 + . . . + 3 + 2 + 1 = 100 reps (n = 10)

Very nice if you pick 3 or 4 different exercises and ask yourself to do 100 reps of each. The first rounds (1 burpee, 1 pullup, 1 DB swing) are so easy you don't hardly need to warm up.
  Reply With Quote
Old 11-16-2008, 05:00 PM   #23
Jonathan Silverman
Member Jonathan Silverman is offline
 
Profile:
Join Date: Nov 2007
Location: Brooklyn  NY
Posts: 171
Re: Math Equations Encountered in CF

Great series for programming reps, David. Very Cool.

Speaking of reps, here is a little analysis on the infamous
21, 15, 9.

Of course they are all multiples of three, but this sequence almost..almost follows the Golden Ratio. What will happen if we adjusted this Classic CF sequence to fit the Golden Ratio?

9*phi
14.562305898749054*phi
23.562305898749056

Rounding upwards makes...

9, 15, 24

Compare:

7*7*7
5*5*5
3*3*3

versus

5*5*5, 3*3*3
5*5*5
3*3*3
  Reply With Quote
Old 11-17-2008, 03:46 AM   #24
Erik Lilliedahl
Member Erik Lilliedahl is offline
 
Profile:
Join Date: Oct 2007
Location: Los Angeles  CA
Posts: 46
Re: Math Equations Encountered in CF

I cannot fully explain with my limited vocabulary how absolutely and utterly foreign all this math "speak" is to me. Its like I just got on a Chinese language forum and they are discussing the inner workings of the BSC standings.
__________________
Erik_37_6'3"_215
  Reply With Quote
Old 11-17-2008, 10:34 AM   #25
Tate Rivera
Member Tate Rivera is offline
 
Tate Rivera's Avatar
 
Profile:
Join Date: Apr 2007
Location: Cookeville  TN
Posts: 365
Re: Math Equations Encountered in CF

Quote:
Originally Posted by Joe Cavazos View Post
No, you were right. The whole is, in fact, greater than the sum of its parts.

whole > sum(parts)
Yeah, I pretty much feel like an idiot! Haha. I have only been out of school a year and to think what good all that education did!
  Reply With Quote
Old 11-21-2008, 10:31 AM   #26
Robert Wolf
Member Robert Wolf is offline
 
Profile:
Join Date: Oct 2002
Location: Chico  CA
Posts: 2,669
Re: Math Equations Encountered in CF

Y'all would be fun to party with.
  Reply With Quote
Old 11-24-2008, 06:10 AM   #27
Justin Z. Smith
Member Justin Z. Smith is offline
 
Profile:
Join Date: Jul 2008
Location: Alexandria  VA
Posts: 390
Re: Math Equations Encountered in CF

Party, just don't drink and derive!

Here's my contribution; the "constantly varied, if not random" aspect.

If all possible exercises (i = 1 to N) you can do are given a mathematical weight w_i, where w_i is larger if an exercise is more important to your fitness goals, then calculate p_i for each exercise, where

pi = wi/sum(wi, i = 1 to N)

Then use a pseudo random number generator to create a uniform random number, r, that is between 0 and 1.

r will be in some interval, an interval that is determed by taking cumulative sums of the p_i's. Select exercise i to include in your workout if r is in the ith interval. Then exercise i gets selected in your workouts with probability p_i in the long-run.

  Reply With Quote
Old 11-27-2008, 09:53 PM   #28
Jonathan Silverman
Member Jonathan Silverman is offline
 
Profile:
Join Date: Nov 2007
Location: Brooklyn  NY
Posts: 171
Re: Math Equations Encountered in CF

Quote:
Originally Posted by Justin Z. Smith View Post
Party, just don't drink and derive!

Here's my contribution; the "constantly varied, if not random" aspect.

If all possible exercises (i = 1 to N) you can do are given a mathematical weight w_i, where w_i is larger if an exercise is more important to your fitness goals, then calculate p_i for each exercise, where

pi = wi/sum(wi, i = 1 to N)

Then use a pseudo random number generator to create a uniform random number, r, that is between 0 and 1.

r will be in some interval, an interval that is determed by taking cumulative sums of the p_i's. Select exercise i to include in your workout if r is in the ith interval. Then exercise i gets selected in your workouts with probability p_i in the long-run.


Hey, can you give an example?
  Reply With Quote
Old 11-29-2008, 10:06 AM   #29
Justin Z. Smith
Member Justin Z. Smith is offline
 
Profile:
Join Date: Jul 2008
Location: Alexandria  VA
Posts: 390
Re: Math Equations Encountered in CF

Quote:
Originally Posted by Jonathan Silverman View Post
Hey, can you give an example?
An example I can give, with the usual disclaimer of I am not a CrossFitter, nor is what I am saying intended as exercise advice since I am not qualified, I'm just exploring more of a math idea here, is say you are interested in training your Deadlift, Press, and Squat differently.

Instead of doing one of each exercise in a specific order as is normally done for say a CrossFit Total, you try randomly selecting from this list of exercises, with replacement, so your workouts can consist of any one of these 27 possibilities: DDD, DDS, DDP, DSD, DSP, DSS, DPD, DPP, DPS, SSS, SSD, SSP, SDS, SDP, SDD, SPS, SPP, SPD, PPP, PPD, PPS, PDP, PDS, PDD, PSP, PSS, and PSD.

This would be something like a randomized quasi-CrossFit Total workout, perhaps with the rationale that in "real-life"(tm) you may not know in what order tasks will come at you, since nature doesn't care, so you better be competent in all possible orders. I imagine some of the 27 orders are more preferable than others..

If you set the mathematical weight for D to 1, and P to 1, and S to 1, then, while you still may get oddities like SSS for a workout, in the long-run averaged over all your workouts you will get D, P, and S with equal frequency of 33%.

If you now decide for whatever reason to work on D more and set the mathematical weight to 2 and leave the mathematical weights for P and S at 1, your long-run frequencies will now be 50% for D, and 25% for P and S.

These mathematical weights can be changed per year, month, week, day, whenever, even mid workout, to combine the benefits of randomness with preferences on how important exercises are to the exerciser's goals.


Justin
  Reply With Quote
Reply


Thread Tools

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

vB code is On
Smilies are On
[IMG] code is Off
HTML code is Off
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
Confused: The Zone and doing the math Thomas R. Stegelmann Nutrition 3 07-08-2008 04:16 PM
Need a Little Help with the Math John Atkinson Starting 12 05-02-2008 03:51 PM
Check my Zone math, please. John West Nutrition 3 12-14-2007 06:14 PM
Check My Math Gary Wimsett Nutrition 5 11-20-2007 07:35 PM
Math question Tim McFarland Equipment 17 06-13-2007 10:09 PM


All times are GMT -7. The time now is 01:15 AM.


Powered by vBulletin® Version 3.6.8
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.
CrossFit is a registered trademark of CrossFit Inc.