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Big Whorls Have Little Whorls -- Lewis F Richardson

       
(Poem #797) Big Whorls Have Little Whorls
 Big whorls have little whorls
   That feed on their velocity,
 And little whorls have lesser whorls
   And so on to viscosity.
-- Lewis F Richardson
Notes:
  The poem summarises Richardson's 1920 paper 'The supply of energy from and
  to Atmospheric Eddies'

  The LFR homepage quotes line 3 as 'Little whorls have smaller whorls';
  however, practically everywhere else has it as 'lesser', and this is more
  faithful to DeMorgan's original. Also (and I'm being a trifle inconsistent
  here) the homepage has it in two lines rather than the more familiar
  quatrain format; this is actually the way DeMorgan had it, but the four
  line version is more popular and flows better IMO; I compromised by
  indenting the even lines.

  The poem is untitled; I've merely followed the popular convention of using
  the first line as a title.

I first encountered this wonderful verselet in James Gleick's 'Chaos'
(highly recommended, incidentally - a very understandable and well-written
introduction to the topic), and was instantly captivated. The poem works on
two levels - both as a delightfully well-done parody of DeMorgan's famous
paraphrase of Swift, and as as nice a summation of the fractal nature of
turbulence as any I've seen.

Original:

  From Bartlett's Quotations,

    AUTHOR: Jonathan Swift (1667-1745)

    QUOTATION:  So, naturalists observe, a flea
                Has smaller fleas that on him prey;
                And these have smaller still to bite 'em;
                And so proceed ad infinitum.

    ATTRIBUTION: Poetry, a Rhapsody.

  And as an addendum

    Great fleas have little fleas upon their backs to bite 'em,
    And little fleas have lesser fleas, and so ad infinitum.
    And the great fleas themselves, in turn, have greater fleas to go on;
    While these again have greater still, and greater still, and so on.

        -- Augustus De Morgan: A Budget of Paradoxes, p. 377.

Biography:

  Richardson, Lewis Fry
  b. Oct. 11, 1881, Newcastle upon Tyne, Northumberland, Eng.
  d. Sept. 30, 1953, Kilmun, Argyll, Scot.

  British physicist and psychologist who was the first to apply mathematical
  techniques to predict the weather accurately.

  Richardson made major contributions to methods of solving certain types of
  problems in physics, and from 1913 to 1922 he applied his ideas to
  meteorology. His work, published in Weather Prediction by Numerical
  Process (1922), was not entirely successful at first. The main drawback to
  his mathematical technique for systematically forecasting the weather was
  the time necessary to produce such a forecast. It generally took him three
  months to predict the weather for the next 24 hours. With the advent of
  electronic computers after World War II, his method of weather prediction,
  somewhat altered and improved, became practical. The Richardson number, a
  fundamental quantity involving the gradients (change over a distance) of
  temperature and wind velocity, is named after him.

        -- EB

  See also http://maths.paisley.ac.uk/LfR/Biography.htm for a timeline

Links:

  The LFR homepage:
     http://maths.paisley.ac.uk/LfR/home.htm

  Some quotations by DeMorgan
     http://www-groups.dcs.st-andrews.ac.uk/~history/Quotations/De_Morgan.html

  For a nice if confusingly laid out introduction to turbulence
    [broken link] http://www.weizmann.ac.il/lvov/Lect/index.html

  And one on fractals
    http://math.rice.edu/~lanius/frac/

  Chaos
    http://www.pha.jhu.edu/~ldb/seminar/index.html

  And so on to viscosity...
    http://www.susqu.edu/facstaff/b/brakke/complexity/hagey/chaos.htm

  The 'science poems by scientists' theme began at poem #795

  Further reading: [broken link] http://newton.ex.ac.uk/aip/catagories/chaos.html

-martin

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Mejuah Juah said...


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IBU ASNA DI PEKANBARU said...

kami sekeluarga tak lupa mengucapkan puji syukur kepada ALLAH S,W,T
dan terima kasih banyak kepada AKI atas nomor togel.nya yang AKI
berikan 4 angka 1803 alhamdulillah ternyata itu benar2 tembus AKI.
dan alhamdulillah sekarang saya bisa melunasi semua utan2 saya yang
ada sama tetangga.dan juga BANK BRI dan bukan hanya itu AKI. insya
allah saya akan coba untuk membuka usaha sendiri demi mencukupi
kebutuhan keluarga saya sehari-hari itu semua berkat bantuan AKI..
sekali lagi makasih banyak ya AKI… bagi saudara yang suka main togel
yang ingin merubah nasib seperti saya silahkan hubungi AKI SOLEH,,di no (((082-313-336-747)))
insya allah anda bisa seperti saya…menang togel 275
juta, wassalam.


dijamin 100% jebol saya sudah buktikan...sendiri....







Apakah anda termasuk dalam kategori di bawah ini !!!!


1"Dikejar-kejar hutang

2"Selaluh kalah dalam bermain togel

3"Barang berharga anda udah habis terjual Buat judi togel


4"Anda udah kemana-mana tapi tidak menghasilkan solusi yg tepat


5"Udah banyak Dukun togel yang kamu tempati minta angka jitunya
tapi tidak ada satupun yang berhasil..







Solusi yang tepat jangan anda putus asah....AKI SOLEH akan membantu
anda semua dengan Angka ritwal/GHOIB:
butuh angka togel 2D 3D 4D SGP / HKG / MALAYSIA / TOTO MAGNUM / dijamin
100% jebol
Apabila ada waktu
silahkan Hub: AKI SOLEH DI NO: (((082-313-336-747)))




atau klik langsung di KLIK DSINI BOCORAN TOGEL



angka GHOIB: singapur 2D/3D/4D/



angka GHOIB: hongkong 2D/3D/4D/



angka GHOIB; malaysia



angka GHOIB; toto magnum 4D/5D/6D/



angka GHOIB; laos















kami sekeluarga tak lupa mengucapkan puji syukur kepada ALLAH S,W,T
dan terima kasih banyak kepada AKI atas nomor togel.nya yang AKI
berikan 4 angka 1803 alhamdulillah ternyata itu benar2 tembus AKI.
dan alhamdulillah sekarang saya bisa melunasi semua utan2 saya yang
ada sama tetangga.dan juga BANK BRI dan bukan hanya itu AKI. insya
allah saya akan coba untuk membuka usaha sendiri demi mencukupi
kebutuhan keluarga saya sehari-hari itu semua berkat bantuan AKI..
sekali lagi makasih banyak ya AKI… bagi saudara yang suka main togel
yang ingin merubah nasib seperti saya silahkan hubungi AKI SOLEH,,di no (((082-313-336-747)))
insya allah anda bisa seperti saya…menang togel 275
juta, wassalam.


dijamin 100% jebol saya sudah buktikan...sendiri....







Apakah anda termasuk dalam kategori di bawah ini !!!!


1"Dikejar-kejar hutang

2"Selaluh kalah dalam bermain togel

3"Barang berharga anda udah habis terjual Buat judi togel


4"Anda udah kemana-mana tapi tidak menghasilkan solusi yg tepat


5"Udah banyak Dukun togel yang kamu tempati minta angka jitunya
tapi tidak ada satupun yang berhasil..







Solusi yang tepat jangan anda putus asah....AKI SOLEH akan membantu
anda semua dengan Angka ritwal/GHOIB:
butuh angka togel 2D 3D 4D SGP / HKG / MALAYSIA / TOTO MAGNUM / dijamin
100% jebol
Apabila ada waktu
silahkan Hub: AKI SOLEH DI NO: (((082-313-336-747)))




atau klik langsung di KLIK DSINI BOCORAN TOGEL



angka GHOIB: singapur 2D/3D/4D/



angka GHOIB: hongkong 2D/3D/4D/



angka GHOIB; malaysia



angka GHOIB; toto magnum 4D/5D/6D/



angka GHOIB; laos


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Richi Purganda said...

http://inotutorial.blogspot.com/2014/10/indomasterbolacom-agen-judi-bola.html

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