By Donald E. Knuth

The 1st revision of this 3rd quantity is the main finished survey of classical machine innovations for sorting and looking. It extends the therapy of knowledge buildings in quantity 1 to contemplate either huge and small databases and inner and exterior stories. The publication encompasses a number of conscientiously checked laptop equipment, with a quantitative research in their potency. extraordinary good points of the second one variation comprise a revised part on optimal sorting and new discussions of the speculation of diversifications and of common hashing.

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H. Freeman, 740. These data record the results of an experiment with acacia ants. All but 28 trees of two species of acacia were cleared from an area in Central America, and the 28 trees were cleared of ants using insecticide. Sixteen colonies of a particular species of ant were obtained from other trees of species A. The colonies were placed roughly equidistant from the 28 trees and allowed to invade them. In the resulting 2 x 2 table, both margins are fixed, because the numbers of trees of the two species are fixed, and because each of the 16 ant colonies will invade a tree (and two colonies never invade the same tree).

6L Estate. Every timehe put petrol into the tank, he continued until the flow stopped automatically, showing the tank was nearly full. Then he ran the pump on gently until, if possible, the cost on the meter reached the next whole number of pounds (to avoid change). He tried to record the date, the odometer reading, the price of petrol and how much he spent. Some data are missing. 54609 litres). The data can be used to exemplify the problems that arise in 'cleaning' a real data set, and to investigate hypotheses about seasonal variations in petrol consumption rates.

1 i-j ~ <» f" 30 35. FACILmES IN EAST JERUSALEM 35. R. (1971) The biplot graphical display of matrices with application to principal components analysis. Biometrika, 58,453-467. The data give the percentages of households with various facilities and equipment in nine areas of East Jerusalem in 1967. The aim of the analysis is to investigate similarities and differences between the different areas, and to see how patterns of access to facilities differ between them. Gabriet used the data to demoostrate the use of the biplot technique.