[math-fun] Q about terminology for D0L (Lindenmayer) systems
For Lindenmayer system, say Axiom: L Rules: + --> + - --> - L --> L+R R --> L-R the "development" (or whatever it should be called) goes as 0: L 1: L+R 2: L+R+L-R 3: L+R+L-R+L+R-L-R 4: L+R+L-R+L+R-L-R+L+R+L-R-L+R-L-R ... What should I call the word in the n-th line? I used (n-th) "iteration" or "generation" but neither sounds very good. Any better ideas? Best regards, jj
n-th expression? word, string, state, stage? Best regards Neil Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com On Thu, Nov 19, 2015 at 1:55 PM, Joerg Arndt <arndt@jjj.de> wrote:
For Lindenmayer system, say
Axiom: L Rules: + --> + - --> - L --> L+R R --> L-R
the "development" (or whatever it should be called) goes as
0: L 1: L+R 2: L+R+L-R 3: L+R+L-R+L+R-L-R 4: L+R+L-R+L+R-L-R+L+R+L-R-L+R-L-R ...
What should I call the word in the n-th line? I used (n-th) "iteration" or "generation" but neither sounds very good. Any better ideas?
Best regards, jj
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I think I would say "nth iterate" (with "iterate" given noun stress, to rhyme with "literate"). A Google search on "nth iterate" shows that this terminology goes back at least 80 years. On Thu, Nov 19, 2015 at 2:29 PM, Neil Sloane <njasloane@gmail.com> wrote:
n-th expression? word, string, state, stage?
Best regards Neil
Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
On Thu, Nov 19, 2015 at 1:55 PM, Joerg Arndt <arndt@jjj.de> wrote:
For Lindenmayer system, say
Axiom: L Rules: + --> + - --> - L --> L+R R --> L-R
the "development" (or whatever it should be called) goes as
0: L 1: L+R 2: L+R+L-R 3: L+R+L-R+L+R-L-R 4: L+R+L-R+L+R-L-R+L+R+L-R-L+R-L-R ...
What should I call the word in the n-th line? I used (n-th) "iteration" or "generation" but neither sounds very good. Any better ideas?
Best regards, jj
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* Allan Wechsler <acwacw@gmail.com> [Nov 20. 2015 09:17]:
I think I would say "nth iterate" (with "iterate" given noun stress, to rhyme with "literate"). A Google search on "nth iterate" shows that this terminology goes back at least 80 years.
This sounds good to my ears, thanks! I'll also (have to) use it for the corresponding grid-filling curves, where it sounds fine as well. Additionally there is (for the curves) no conflict with the terminology(*) already used. (*) about every single author uses own terminology, it seems. I may use one of Neil's suggestions when introducing the above (the paper will be rather informal). Thanks again and best regards, jj
On Thu, Nov 19, 2015 at 2:29 PM, Neil Sloane <njasloane@gmail.com> wrote:
n-th expression? word, string, state, stage?
Best regards Neil
Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
On Thu, Nov 19, 2015 at 1:55 PM, Joerg Arndt <arndt@jjj.de> wrote:
For Lindenmayer system, say
Axiom: L Rules: + --> + - --> - L --> L+R R --> L-R
the "development" (or whatever it should be called) goes as
0: L 1: L+R 2: L+R+L-R 3: L+R+L-R+L+R-L-R 4: L+R+L-R+L+R-L-R+L+R+L-R-L+R-L-R ...
What should I call the word in the n-th line? I used (n-th) "iteration" or "generation" but neither sounds very good. Any better ideas?
Best regards, jj
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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participants (3)
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Allan Wechsler -
Joerg Arndt -
Neil Sloane