In a message dated 10/17/2006 10:09:59 A.M. Central Daylight Time,  
[EMAIL PROTECTED] writes:

>> As I understand it,  if A is 37% cheaper than B, then it  costs  63%   
(100-37) what >>B costs.

>I quite  clearly stated that I meant a factor of 37 and _NOT_ 37%.  I made 
the  >distinction so as to avoid this kind of inanity, but it seems someone 
will  always be >dumb enough to step forward.


Your  original post, on 12 OCT 2006, said "I've seen an IBM internal analysis 
of a  Websphere Application Server implementation that was 37x cheaper on 
Intel than  on zSeries.  That's 37 _TIMES_ - not 37%!"  


You made it abundantly clear that you meant a factor of 37 and not  37%.  But 
you sowed confusion by adding the word "cheaper."  Your  post was followed on 
13 OCT 2006 by Matt Simpson's post in which he said  "Statements like this 
always confuse me.  How can something be 37 times  (or 3700%)  smaller or 
cheaper than something else?"
 
I posted an explanation, shortly after Simpson's describing his  confusion 
over your choice of words, on the basic mathematics and the  wording one must 
use to communicate a percent change in order not to  confuse readers who are 
well versed in basic mathematics, as are Simpson and  I.  Simpson was not 
confusing 37 times with 37%, as you apparently  thought.  He was questioning 
how a 
price can be reduced by more  than 100%.
 
Basic math states that the percent change in moving from X to Y is  
100*(Y-X)/X, unless X=0.  E.g., moving from 10 to 20 is a 100%  increase of the 
beginning value of 10, from 10 to 0 is a 100% decrease,  and moving from 10 to 
-40 is 
a 500% decrease of the original value.  This  works fine in abstract math but 
not always in the real world.

>I'm quite stunned at the apparent ignorance of basic mathematics  shown in 
the >responses.
Simpson and I are both stunned whenever  anyone unthinkingly throws in words 
like "cheaper"  or "less" with a % value greater than 100, indicating the 
writer has  succumbed to the inane, endemic mind-rot sown by advertisers, media 
hypers,  and politicians who, in trying to gain the attention of the reader, 
claim  that something has been reduced in price by more than 100%.  These  
hype-mongers are the ones who are dumb enough not to understand basic  
mathematics.  
Simpson's use of "37%" was a hypothetical attempt to  understand your 
confusing use of the word "cheaper", not an attempt to claim  that "37 times" 
is the 
same as "37%".
 
In your latest post you have cleared up the confusion by saying "I HAVE  IN 
MY POSSESSION AN IBM INTERNAL STUDY SHOWING THAT THE COST OF PROCESSING ONE  
CUSTOMER-SPECIFIC SAMPLE WEBSPHERE APPLICATION SERVER TRANSACTION ON XSERIES  
IS 
1/37TH THE COST OF PROCESSING THE SAME TRANSACTION ON ZSERIES."
 
Thank you for rewording your original statement into a non-confusing  and 
mathematically precise wording to express the basic math involved,  which 
neither 
Simpson nor I misunderstand.  "1/37th the cost" is not the  same as being 
"37x cheaper."  Engineers, architects, and even  corporate accountants are 
careful to resist dumb and inane wordings when  describing percent changes.
 

Bill  Fairchild, B.S. Applied Mathematics,  1967



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