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Near-Universal Cycles for Subsets Exist

by Dawn Curtis, Taylor Hines, Glenn Hurlbert, Tatiana Moyer , 2008
"... Let S be a cyclic n-ary sequence. We say that S is a universal cycle ((n,k)-Ucycle) for k-subsets of [n] if every such subset appears exactly once contiguously in S, and is a Ucycle packing if every such subset appears at most once. Few examples of Ucycles are known to exist, so the relaxation to pa ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
Let S be a cyclic n-ary sequence. We say that S is a universal cycle ((n,k)-Ucycle) for k-subsets of [n] if every such subset appears exactly once contiguously in S, and is a Ucycle packing if every such subset appears at most once. Few examples of Ucycles are known to exist, so the relaxation

Near-Universal Cycles for Subsets Exist

by unknown authors , 2009
"... Let S be a cyclic n-ary sequence. We say that S is a universal cycle ((n, k)-Ucycle) for k-subsets of [n] if every such subset appears exactly once contiguously in S, and is a Ucycle packing if every such subset appears at most once. Few examples of Ucycles are known to exist, so the relaxation to p ..."
Abstract - Add to MetaCart
Let S be a cyclic n-ary sequence. We say that S is a universal cycle ((n, k)-Ucycle) for k-subsets of [n] if every such subset appears exactly once contiguously in S, and is a Ucycle packing if every such subset appears at most once. Few examples of Ucycles are known to exist, so the relaxation

A hidden Markov model for predicting transmembrane helices in protein sequences

by Erik L. L. Sonnhammer - In Proceedings of the 6th International Conference on Intelligent Systems for Molecular Biology (ISMB , 1998
"... A novel method to model and predict the location and orientation of alpha helices in membrane- spanning proteins is presented. It is based on a hidden Markov model (HMM) with an architecture that corresponds closely to the biological system. The model is cyclic with 7 types of states for helix core, ..."
Abstract - Cited by 373 (9 self) - Add to MetaCart
A novel method to model and predict the location and orientation of alpha helices in membrane- spanning proteins is presented. It is based on a hidden Markov model (HMM) with an architecture that corresponds closely to the biological system. The model is cyclic with 7 types of states for helix core

Succinct indexable dictionaries with applications to encoding k-ary trees and multisets

by Rajeev Raman, Venkatesh Raman, S. Srinivasa Rao - In Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA
"... We consider the indexable dictionary problem, which consists of storing a set S ⊆ {0,...,m − 1} for some integer m, while supporting the operations of rank(x), which returns the number of elements in S that are less than x if x ∈ S, and −1 otherwise; and select(i) which returns the i-th smallest ele ..."
Abstract - Cited by 259 (16 self) - Add to MetaCart
structure, including: • an information-theoretically optimal representation of a k-ary cardinal tree that supports standard operations in constant time, • a representation of a multiset of size n from {0,...,m − 1} in B(n,m+n) + o(n) bits that supports (appropriate generalizations of) rank and select

Cyclic operads and cyclic homology

by E. Getzler, M. M. Kapranov - in "Geometry, Topology and Physics,"International , 1995
"... The cyclic homology of associative algebras was introduced by Connes [4] and Tsygan [22] in order to extend the classical theory of the Chern character to the non-commutative setting. Recently, there has been increased interest in more general algebraic structures than associative algebras, characte ..."
Abstract - Cited by 45 (3 self) - Add to MetaCart
which are best explained using the concept of an operad. In this approach to universal algebra, an algebraic structure is described by giving, for each n ≥ 0, the space P(n) of all n-ary expressions which can be formed from the operations in the given algebraic structure, modulo the universally valid

Joint MAP registration and high-resolution image estimation using a sequence of undersampled images

by Russell C. Hardie, Kenneth J. Barnard, Ernest E. Armstrong - IEEE Transactions on Image Processing , 1997
"... Abstract — In many imaging systems, the detector array is not sufficiently dense to adequately sample the scene with the desired field of view. This is particularly true for many infrared focal plane arrays. Thus, the resulting images may be severely aliased. This paper examines a technique for esti ..."
Abstract - Cited by 219 (2 self) - Add to MetaCart
for estimating a high-resolution image, with reduced aliasing, from a sequence of undersampled frames. Several approaches to this problem have been investigated previously. However, in this paper a maximum a posteriori (MAP) framework for jointly estimating image registration parameters and the high

Scheduling Dynamic Dataflow Graphs With Bounded Memory Using The Token Flow Model

by Joseph T. Buck, Edward A. Lee , 1993
"... This paper builds upon research by Lee [1] concerning the token flow model, an analytical model for the behavior of dataflow graphs with data-dependent control flow, by analyzing the properties of cycles of the schedule: sequences of actor executions that return the graph to its initial state. Neces ..."
Abstract - Cited by 232 (5 self) - Add to MetaCart
This paper builds upon research by Lee [1] concerning the token flow model, an analytical model for the behavior of dataflow graphs with data-dependent control flow, by analyzing the properties of cycles of the schedule: sequences of actor executions that return the graph to its initial state

FUZZY n-ARY GROUPS AS A GENERALIZATION OF ROSENFELD’S FUZZY GROUPS

by B. Davvaz, A. Dudek , 710
"... Abstract. The notion of an n-ary group is a natural generalization of the notion of a group and has many applications in different branches. In this paper, the notion of (normal) fuzzy n-ary subgroup of an n-ary group is introduced and some related properties are investigated. Characterizations of f ..."
Abstract - Cited by 8 (1 self) - Add to MetaCart
of fuzzy n-ary subgroups are given. 1. Preliminaries A nonempty set G together with one n-ary operation f: Gn − → G, where n ≥ 2, is called an n-ary groupoid and is denoted by (G, f). According to the general convention used in the theory of n-ary groupoids the sequence of elements xi, xi+1,...,xj

A problem related to the Smarandache n-ary power sieve

by Juanli Su
"... Abstract For any fixed positive integer k ≥ 2, the power k sieve is defined as following: Starting to count on the natural numbers set at any step from 1:- delete every 2k-th numbers;- delete, from the remaining ones, every 3k-th numbers · · · , and so on: delete, from the remaining ones, every nk ..."
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nk-th numbers, n = 2, 3, 4, · · ·. In this paper, we study the following two problems: (A) Are there an infinity of primes that belong to this sequence? (B) Are there an infinity of numbers of this sequence which are not prime? Then we using the elementary methods to study these problems

A quickstart in frequent structure mining can make a difference

by Siegfried Nijssen, Joost N. Kok - In Proc. of the 10th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD-2004 , 2004
"... Given a database, structure mining algorithms search for substructures that satisfy constraints such as minimum fre-quency, minimum confidence, minimum interest and maxi-mum frequency. Examples of substructures include graphs, trees and paths. For these substructures many mining al-gorithms have bee ..."
Abstract - Cited by 159 (5 self) - Add to MetaCart
of increasing complexity. We introduce the GrAph/Sequence/Tree extractiON (Gaston) algorithm that implements this idea by searching first for frequent paths, then frequent free trees and finally cyclic graphs. We investigate two alternatives for computing the frequency of structures and present experimental
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