𝔖 Bobbio Scriptorium
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Permutations with nonnegative partial sums

✍ Scribed by Donald E. Knuth

Book ID
107748159
Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
346 KB
Volume
5
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

Permutations with Low Discrepancy Consec
Permutations with Low Discrepancy Consecutive k-sums
✍ Richard Anstee; Ron Ferguson; Jerrold R. Griggs πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 160 KB

Consider the permutation p ¼ ðp 1 ; . . . ; p n Þ of 1; 2; . . . ; n as being placed on a circle with indices taken modulo n: For given k4n there are n sums of k consecutive entries. We say the maximum difference of any consecutive k-sum from the average k-sum is the discrepancy of the permutation.