permutation patterns造句

例句与造句

1. Another significant topic of his research has been permutation patterns.
2. In particular, he interested on permutation patterns, colored permutations, compositions.
3. defined two edit operations on permutations : deletion ( making a permutation pattern ) and its inverse.
4. As prove, separable permutations may also be characterized in terms of permutation patterns : a permutation is separable if and only if it contains neither 2413 nor 3142 as a pattern.
5. As well as inspiring much subsequent work on sorting using more complicated systems of stacks and related data structures, Knuth's research kicked off the study of permutation patterns and of permutation classes defined by forbidden patterns.
6. It's difficult to find permutation patterns in a sentence. 用permutation patterns造句挺难的
7. As an undergraduate, she studied mathematics at Harvard University; while at Harvard, she wrote three research papers in mathematics ( two on modular forms in number theory and one on permutation patterns giving the best upper bounds known for superpatterns ).
8. In a notation for generalized permutation patterns where values that must be consecutive are written adjacent to each other, and values that can appear non-consecutively are separated by a dash, these permutations can be described as the permutations that avoid the pattern 1-23.
9. In his paper, Pratt remarked that this permutation pattern order  seems to be the only partial order on permutation that arises in a simple and natural way and concludes by noting that  from an abstract point of view, the permutation pattern order  is even more interesting than the networks we were characterizing.
10. In his paper, Pratt remarked that this permutation pattern order  seems to be the only partial order on permutation that arises in a simple and natural way and concludes by noting that  from an abstract point of view, the permutation pattern order  is even more interesting than the networks we were characterizing.
11. Permutations whose decomposition by skew and direct sums into a maximal number of parts, that is, can be built up from the permutations ( 1 ), are called separable permutations; they arise in the study of sortability theory, and can also be characterized as permutations avoiding the permutation patterns 2413 and 3142.
12. The smallest known universal point sets are not based on grids, but are instead constructed from superpatterns ( permutations that contain all permutation patterns of a given size ); the universal point sets constructed in this way have size " n " 2 / 4 & minus; " O " ( " n " ).
13. Another early landmark result in the field is the ErdQ
    s Szekeres theorem; in permutation pattern language, the theorem states that for any positive integers " a " and " b " every permutation of length at least ( a-1 ) ( b-1 ) + 1 must contain either the pattern 1, 2, 3, \ dots, a or the pattern b, b-1, \ dots, 2, 1.
14. For " The Royal, The Choke, " a song on his " Nerve Net " album, Eno says he used an English bell-ringing pattern where the bells ring " 1, 2, 3, 4, 5, 6 " and then " 2, 1, 3, 4, 6, 5 " ( and so on ) so that " it's a permutation pattern that runs through the piece with no musical logic to it.