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Results 11 - 20
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9,131
On the counting function for the generalized Niven
"... Let q ≥ 2 be a fixed integer and let f be an arbitrary complex-valued function defined on the set of nonnegative integers. We say that f is completely q-additive if f(aq j + b) = f(a) + f(b) ..."
Abstract
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Let q ≥ 2 be a fixed integer and let f be an arbitrary complex-valued function defined on the set of nonnegative integers. We say that f is completely q-additive if f(aq j + b) = f(a) + f(b)
Muscle: multiple sequence alignment with high accuracy and high throughput
- NUCLEIC ACIDS RES
, 2004
"... We describe MUSCLE, a new computer program for creating multiple alignments of protein sequences. Elements of the algorithm include fast distance estimation using kmer counting, progressive alignment using a new profile function we call the logexpectation score, and refinement using tree-dependent r ..."
Abstract
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Cited by 2509 (7 self)
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We describe MUSCLE, a new computer program for creating multiple alignments of protein sequences. Elements of the algorithm include fast distance estimation using kmer counting, progressive alignment using a new profile function we call the logexpectation score, and refinement using tree
Amortized Efficiency of List Update and Paging Rules
, 1985
"... In this article we study the amortized efficiency of the “move-to-front” and similar rules for dynamically maintaining a linear list. Under the assumption that accessing the ith element from the front of the list takes 0(i) time, we show that move-to-front is within a constant factor of optimum amo ..."
Abstract
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Cited by 824 (8 self)
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among a wide class of list maintenance rules. Other natural heuristics, such as the transpose and frequency count rules, da not share this property. We generalize our results to show that move-to-front is within a constant factor of optimum as long as the access cost is a convex function. We also study
On the asymptotic behavior of some counting functions
- Colloq. Math. ON SOME COUNTING FUNCTIONS, II
"... Abstract. The investigation of the counting function of the set of inte-gral elements, in an algebraic number field, with factorizations of at most k different lengths gives rise to a combinatorial constant depending only on the class group of the number field and the integer k. In this paper the va ..."
Abstract
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Cited by 4 (4 self)
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Abstract. The investigation of the counting function of the set of inte-gral elements, in an algebraic number field, with factorizations of at most k different lengths gives rise to a combinatorial constant depending only on the class group of the number field and the integer k. In this paper
Nevanlinna counting function and Carleson function of analytic maps
- Math. Annalen
, 2011
"... Abstract. We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants. ..."
Abstract
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Cited by 15 (9 self)
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Abstract. We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.
A survey of factorization counting functions
- Inter. J. Number Th
"... The general field of additive number theory considers questions concerning representations of a given positive integer n as a sum of other integers. In particular, partitions treat the sums as unordered combinatorial objects, and compositions treat the sums as ordered. Sometimes the sums are restric ..."
Abstract
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Cited by 8 (0 self)
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in the unrestricted case and in the case when the factors are required to be distinct, and both when the product representations are considered as ordered objects and when they are unordered. We offer some new identities and observations for these and related counting functions and derive some new recursive
Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Commun. Math. Phys
, 1994
"... The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological ..."
Abstract
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Cited by 474 (3 self)
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Field Theories are defined, and it is proved that tree level theories are determined by their correlation functions. Application to counting rational curves on del Pezzo surfaces and projective spaces are given. Let V be a projective algebraic manifold. Methods of quantum field theory recently led to a
The resonance counting function for Schrödinger operators with generic potentials
- Math. Research Letters
"... Abstract. We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, L ∞-compactly supported potentials. 1. ..."
Abstract
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Cited by 13 (7 self)
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Abstract. We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, L ∞-compactly supported potentials. 1.
GENERALIZED SUBDIFFERENTIALS OF THE SIGN CHANGE COUNTING FUNCTION
"... Abstract. The counting function on binary values is extended to the signed case in order to count the number of transitions between contiguous locations. A generalized subdifferential for this sign change counting function is given where classical subdifferentials remain intractable. An attempt to p ..."
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Abstract. The counting function on binary values is extended to the signed case in order to count the number of transitions between contiguous locations. A generalized subdifferential for this sign change counting function is given where classical subdifferentials remain intractable. An attempt
Results 11 - 20
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9,131
