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Next: Conclusions Up: Development of the Theory Previous: Mixing Order and Topology

Some statistics

The project started in 1996. The compendium contains 334 pages and the theory formalized by the end of February 2000 covers about 180 pages of it (about 54% without taking into account the articles currently under development).

The following summarizes the number of articles from this project submitted to MML:

year 1996 1997 1998 1999 2000 1996-2000  
YELLOW 8 1 5 3 0 17  
WAYBEL 10 6 8 4 4 32  
All 18 7 13 7 4 49  
Y$\div$All % 44% 14% 38% 42% 0% 35%  


The last line gives percentage of YELLOW series. This percentage is less than we expected.

  MML WAYBEL YELLOW W&Y Percentage
Articles 633 32 17 49 7.74%
Theorems 29,514 1,391 834 2225 7.54%
ave per art 46.6 43.5 49.1 45.4 -
Definitions 5,389 246 105 351 6.51%
ave per art 8.5 7.7 6.2 7.2 -
Size (kB) 46,966 2,867 1,273 4,140 8.82%
ave per art 74.2 89.6 74.9 84.5 -


The last column gives percentage of this project in the entire MML. Average numbers of theorems, definitions, and kilobytes show that the project is close to the MML average. Note the smaller average number of definitions which may indicate that the theory is explored more intensively.

The interaction between the project and the rest of the MML may be measured by the number of references between them. Each reference to the theorem coming from another article is called an external reference.

External references Count Percentage
All 317427 100.00%
All to Y&W 11677 3.68%
Outside of Y&W to Y&W 349 0.11%
In Y&W 26747 100.00%
In Y&W to Y&W 11328 42.35%

57.65% of all external references from the YELLOW and WAYBEL articles is to the rest of the MML. This indicates that the MML contained a substantial quantity of definitions and facts needed for our project.

There is, unfortunatly, no statistics concerning the quantity of work needed to formalize this material. However, we may state that it vary on authors and WAYBEL series needed much more work per line than YELLOW series.


next up previous
Next: Conclusions Up: Development of the Theory Previous: Mixing Order and Topology
Grzegorz Bancerek 2002-03-20