# Combinatory Analysis in the IChing

Combinatory analysis refers to a group of techniques that can be used to determine the number of elements in a particular setwith- out having to count them one-by-one. Theelements in question could be the results froma scientific experiment or the different potential outcomes of a random event.

[...]

Combinatory analysis has interestedmathe- maticians forcenturies.According toTakacs (1982), such analysis dates back to ancient Greece. However, the Hindus, the Per- sians (includingthe poet andmathematician Khayyâm, Omar) and (especially) the Chi- nese also studied such problems. A 3000 year-old Chinese book “I Ching” describes the possible arrangements of a set of n elements,where n ≤ 6. In 1303,Chu, Shih- chieh published a work entitled “Ssu Yuan Yü Chien” (Precious mirror of the four elements). The cover of the book depict- sa triangle that shows the combinations of k elements taken from a set of size n where 0 ≤ k ≤ n.

## Notes:

And in another ancient Chinese text.

Folksonomies: history mathematics statistics

Taxonomies:
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/technology and computing/enterprise technology/data management (0.261775)
/art and entertainment/books and literature/poetry (0.241184)

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Concepts:
China (0.976510): geo | dbpedia | ciaFactbook | freebase
Chinese language (0.723577): dbpedia | freebase | opencyc | yago
I Ching (0.718016): dbpedia | freebase | yago
Science (0.698049): dbpedia | freebase | opencyc
Chemical element (0.687637): dbpedia | freebase
Ancient Rome (0.606810): dbpedia | freebase | yago
Chemistry (0.602927): dbpedia | freebase | opencyc
Combinatorics (0.582817): dbpedia | freebase | opencyc  The Concise Encyclopedia of Statistics
Books, Brochures, and Chapters>Book:  Dodge, Yadolah (2008-04-15), The Concise Encyclopedia of Statistics, Springer, Retrieved on 2013-06-28