a generalization of valiant s algorithm

... Al-Salam and A Verma, On quadratic transformations of basic series, SIAM J Math Anal., 15 (1984), 414–421 [3] G Gasper, Summation, transformation, and expansion formulas for bibasic series, Trans ... and quartic summation and transformation formulas, Canad J Math., 42 (1990), 1–27 [5] G Gasper and M Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, 35 ... In general, polynomials p,q arising in bibasic hypergeometric summation have several different representations in terms of falling bibasic factorials From all possibilities, we shall consider only...

Ngày tải lên: 07/08/2014, 06:20

... choices for each of u2 , u3 , , us+1 , thus each v ∈ X is the first vertex of at most ds escaping paths This shows that v is on at most ds + msds−1 escaping paths Recall that since the robber was ... head of at least qds /2 non-free escaping paths As by definition of safeness, X has size qds /2, this would imply that the number of non-free escaping pairs is at least (qds /2)2 , which is larger ... elements, and property (2) ensures that |Ns (x)| = |Ns (x)| ≥ qds That is, every x ∈ X is the head of at least qds distinct escaping pairs We say that an escaping pair (x, y) is free if all shortest...

Ngày tải lên: 08/08/2014, 12:23

... number of diagram squares of rank at least m − In particular, π avoids all patterns of Am if and only if every diagram square is of rank at most m − the electronic journal of combinatorics 9(2) (2003), ... of a diagram form Young diagrams For a diagram square, its rank is defined to be the number of dots northwest of it Clearly, connected diagram squares have the same rank In this paper, permutation ... from B the diagram squares having rank at most m − and the pairs (i, j) ∈ Om (π) Proof For any m ≥ 2, let D be the set of all diagram squares of rank at most m − The proof is based on the following...

Ngày tải lên: 07/08/2014, 07:21

... alternate pair of statistics (dinv, area) on Catalan paths, originally studied by Haiman, which also generate Cn (q, t) They also include a simple, invertible transformation on Catalan paths which ... verified using Maple for all n, d such that n + d ≤ 10 If Π has no D steps, the area(Π) and bounce(Π) statistics reduce to their counterparts for Catalan paths Thus Garsia and Haglund s result can be ... bounce(Π) To calculate this, we first form an associated Catalan path C(Π) by deleting all D steps and collapsing the remaining path, so pword(C(Π)) is the same as pword(Π) with all D s removed See Figure...

Ngày tải lên: 07/08/2014, 07:21

... the parsing problem is solvable, and this class includes x-bar grammars Let us review the offline parsable grammars Let G be a unification grammar with a set of rules R, a set of terminals T, and ... Context-freeness of Natural Language Linguistics and Philosophy 8(3), 333-343 Such a grammar is desirable because it allows us to assert once that an English VP consists of a verb followed by a suitable list ... terms This work is a step toward the goal of formally defining the class of possible grammars of human languages Here is an example of a plausible grammar that our definition does not allow Shieber...

Ngày tải lên: 21/02/2014, 20:20

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Ngày tải lên: 05/03/2014, 13:21

... to start your scene This set of notes shows a sequence from Disney s Rescuers where the animator has worked out his staging and action in a series of great thumbnails PDF produced by www.animationmeat.com ... animation This is the stage where problems in staging and acting can be resolved Once you have worked out the action at this small size it is easy to blow it up on the xerox machine and paste ... The Art of Thumbnailing Good animation begins with good planning One of the first things an animator should is thumbnail his scene By thumbnailing we mean creating small quick drawings which...

Ngày tải lên: 08/03/2014, 11:20

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Ngày tải lên: 08/03/2014, 15:20

Ngày tải lên: 16/03/2014, 08:20

... identify any gaps, and assess the quality of the research.” Although that bill did not become law, NASA nonetheless asked the NRC to make this assessment A statement of task was developed by NASA and ... environments In some cases, such as Mass Gauging systems, a number of competing systems such as the Pressure-Volume-Temperature system, Radiofrequency Gauge, and Optical Mass Gauge are in the process of ... Program, HRP47052, Revision A, NASA Johnson Space Center, Houston, Tex., July 2007 National Aeronautics and Space Administration, NASA Space Flight Human Systems Standards, Volumes I and II, NASA-STD-3001,...

Ngày tải lên: 22/03/2014, 10:20

... Canada and four comparison nations, 2001 Canada Overall rank Seats in parliament (%) Female legislators, senior of cials, managers (%) Female professional and technical workers (%) Ratio female:male ... provincial control A wide range of services is available across Canada, each with different models, standards and costs [78]) Armstrong and Armstrong [79] have identified a variety of pressures that ... multinational business has launched a frontal assault on the state (p 163).” Others argue: The process of the internationalization of capitalism has fostered deep-seated economic and social changes...

Ngày tải lên: 22/03/2014, 11:20

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Ngày tải lên: 23/03/2014, 03:20

... postpartum period are counted as maternal deaths in vital statistics compiled by NCHS Recent figures for maternal deaths based on the standard classification of deaths using vital statistics ... medical or obstetrical problems is strongly associated with an increased risk of hospitalization, as is a lack of prenatal care.34,35,37 Ensuring increased prenatal care will not necessarily alter ... by cesarean.60,65 Finally, despite guidelines advocating a trial of labor and the established safety of vaginal birth after cesarean delivery, more than 30% of cesareans are repeat cesareans.68...

Ngày tải lên: 28/03/2014, 12:20

... environmental disturbances ([1-10]) One of the basic tasks of active structural control problem is to determine a control strategy that uses the measured structural responses to calculate an appropriate ... and the damping ratios for all modes are assumed to be 2% Using the method of separation of variables, the governing partial differential equation of the beam is represented by a system of infinite ... distance L/4 (a) , L/2 (b) and L (c) As we see, locating the sensor at the distances L/2 and L leads to the smaller response than locating at the distance L/4 Return to figures and 5, this situation...

Ngày tải lên: 28/03/2014, 13:20

... environmental disturbances ([1-10]) One of the basic tasks of active structural control problem is to determine a control strategy that uses the measured structural responses to calculate an appropriate ... and the damping ratios for all modes are assumed to be 2% Using the method of separation of variables, the governing partial differential equation of the beam is represented by a system of infinite ... distance L/4 (a) , L/2 (b) and L (c) As we see, locating the sensor at the distances L/2 and L leads to the smaller response than locating at the distance L/4 Return to figures and 5, this situation...

Ngày tải lên: 28/03/2014, 13:20

... properties in most cases The proof of this theorem requires a careful analysis of nilpotent P conjugacy classes including a parametrization of these conjugacy c classes We also need to give a more ... s) |s= 0 is a nonzero scalar multiple of the canonical G invariant inner form on H∞ University of California, Santa Cruz, Santa Cruz, CA E-mail address: baruch@math.ucsc.edu References [Bar-Mao] ... always stabilizes gY when H and Y are part of a Jacobson-Morosov triple, and that the eigenvalues of H on gY are always nonpositive.) The main difficulty is to “adjust” H in a “nice” way so that...

Ngày tải lên: 28/03/2014, 22:20

... generates at most one final state, regardless of the ambiguity of the underlying grammar, the extended algorithm may generate several instances of this state, if the grammar is ambiguous Each instance ... conditions, as above The base grammar G assigns a derivation tree x to each sentence in L(G) The tree is annotated at each node labelled X with the set A( X) of attributes associated with X; each attribute ... S. al S. an] _1_.,0, ±k>, where S is the start symbol of the grammar and S. al S .a n the attribute occurrences of S associated with that state, the algorithm evaluates the corresponding attribute...

Ngày tải lên: 01/04/2014, 00:20

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Ngày tải lên: 03/05/2014, 19:11

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Ngày tải lên: 19/06/2014, 15:20

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Ngày tải lên: 19/06/2014, 15:20