Difference between Circularity and Transitivity?

What's the difference between the two properties?  They look identical to me.  
liahowAsked:
Who is Participating?
I wear a lot of hats...

"The solutions and answers provided on Experts Exchange have been extremely helpful to me over the last few years. I wear a lot of hats - Developer, Database Administrator, Help Desk, etc., so I know a lot of things but not a lot about one thing. Experts Exchange gives me answers from people who do know a lot about one thing, in a easy to use platform." -Todd S.

d-glitchCommented:
According to this:   http://stats.oecd.org/glossary/detail.asp?ID=5519       They are the same.
0
BigRatCommented:
If my dog had circularity he'd be sniffing his own tail, if he had transitivity he'd be sniffing some other dogs tail.
0
grg99Commented:
transitivity sounds more one-way and possibly branching:

trans:  a is to b       b is to c    c is to d    d is to e      d is to f      d is to g            therefore  b is to f

circularity  sounds, well circular   :  a is to b    b is to c    c is to d         therefore d is to a

0
Harisha M GEngineerCommented:
Hi, grg99 is correct..

I will again consider simpler version of his example..

If a -> b and b -> c, then

A) Circularity: c -> a
B) Transitivity: a -> c

So, the only difference is that the direction of carrying out the operation is interchanged.

Now, consider the example..

If  10 < 20, 20 < 30

Then
A) Circularity: 30 < 10.. which is certainly not true.. and hence, circularity fails
B) Transitivity: 10 < 30.. which is true and hence, transitivity holds

---
Harish
0
neopolitanCommented:
Meaning differs depending on the context.
-In the general practical statistical terms, they are used interchangeably:
An index number property such that the algebraic product of the price index comparing period j with period i and the price index comparing period k with period j is equal to the price index that compares period k directly with period i.
http://unstats.un.org/unsd/methods/icp/gdp/gdp06_htm.htm

-In grammar: circularity means if if it can generate a derivation tree in which some attribute is circularly defined; transitivity means having two different roles for the same word.
http://links.jstor.org/sici?sici=0097-8507%28198006%2956%3A2%3C251%3ATIGAD%3E2.0.CO%3B2-U&size=LARGE
http://www.citebase.org/cgi-bin/fulltext?format=application/pdf&identifier=oai:arXiv.org:math/0208184

-In philosophy:
http://ocw.mit.edu/NR/rdonlyres/Linguistics-and-Philosophy/24-03Spring-2005/F5D2E7CE-C74B-42EF-93B9-336AE081F141/0/l3_persist_prson.pdf
http://prosblogion.ektopos.com/archives/2004/06/alston_on_divin.html

-In neural networks and AI and logical circuits, they tend to be fairly strictly different
http://www.vordenker.de/ics/cbrain.htm
http://72.14.203.104/search?q=cache:oYs69yL69FgJ:www.cs.utah.edu/classes/cs3100-ganesh/handouts/lec1/cs3100book.pdf+circularity,+transitivity,+logic+circuits&hl=en&gl=uk&ct=clnk&cd=9

-Same in statistics(mathematics):
the difference becomes more apparent and can be complicated too. Circularity can be non-transitive.
http://www.smu.edu/statistics/faculty/Schucany%20class/BrownHettmansperger2002.pdf

Circularity: goes in circles, more flexible
Transitivity: rather like one-way traffic, in any direction
0

Experts Exchange Solution brought to you by

Your issues matter to us.

Facing a tech roadblock? Get the help and guidance you need from experienced professionals who care. Ask your question anytime, anywhere, with no hassle.

Start your 7-day free trial
It's more than this solution.Get answers and train to solve all your tech problems - anytime, anywhere.Try it for free Edge Out The Competitionfor your dream job with proven skills and certifications.Get started today Stand Outas the employee with proven skills.Start learning today for free Move Your Career Forwardwith certification training in the latest technologies.Start your trial today
Web Languages and Standards

From novice to tech pro — start learning today.