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the thirdorder
"... On a HeleShaw type domain evolution with convected surface energy density: ..."
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On a HeleShaw type domain evolution with convected surface energy density:
Ancillaries and Third Order Significance
, 1995
"... this paper we consider a general construction of an approximate ancillary statistic and the subsequent derivation of significance probabilities having third order accuracy 2 for scalar or vector parameters. We use two types of recently constructed approximating models; tangent exponential models (S ..."
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Cited by 50 (23 self)
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this paper we consider a general construction of an approximate ancillary statistic and the subsequent derivation of significance probabilities having third order accuracy 2 for scalar or vector parameters. We use two types of recently constructed approximating models; tangent exponential models
Third Order Matching is Decidable
 Annals of Pure and Applied Logic
, 1999
"... The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed calculus, i.e. to solve the equation a = b where a and b are simply typed terms and b is ground. The decidability of this problem is still open. We prove the decidability of ..."
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Cited by 51 (0 self)
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of the particular case in which the variables occurring in the problem are at most third order. Introduction The higher order matching problem is the problem of determining whether a term is an instance of another in the simply typed calculus i.e. to solve the equation a = b where a and b are simply typed terms
GEOMETRY OF THIRDORDER ODES
, 2009
"... We address the problem of local geometry of third order ODEs modulo contact, point and fibrepreserving transformations of variables. Several new and already known geometries are described in a uniform manner by the Cartan method of equivalence. This includes conformal, Weyl and metric geometries i ..."
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We address the problem of local geometry of third order ODEs modulo contact, point and fibrepreserving transformations of variables. Several new and already known geometries are described in a uniform manner by the Cartan method of equivalence. This includes conformal, Weyl and metric geometries
COUPLED THIRD–ORDER RECURRENCES
"... There are eight systems of coupled third–order recurrence relations. We find the solutions of all eight systems in terms of the Tribonacci numbers. In the recently published book [1], we find the following statement “We can construct 8 different schemes of generalised Tribonacci sequences in the cas ..."
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There are eight systems of coupled third–order recurrence relations. We find the solutions of all eight systems in terms of the Tribonacci numbers. In the recently published book [1], we find the following statement “We can construct 8 different schemes of generalised Tribonacci sequences
Efficient thirdorder dependency parsers
 In ACL ’10
, 2010
"... We present algorithms for higherorder dependency parsing that are “thirdorder” in the sense that they can evaluate substructures containing three dependencies, and “efficient ” in the sense that they require only O(n4) time. Importantly, our new parsers can utilize both siblingstyle and grandchil ..."
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Cited by 64 (1 self)
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We present algorithms for higherorder dependency parsing that are “thirdorder” in the sense that they can evaluate substructures containing three dependencies, and “efficient ” in the sense that they require only O(n4) time. Importantly, our new parsers can utilize both sibling
Beyond ThirdOrder Efficiency
, 1997
"... this article. 1. Introduction The FisherRao theorem [Fisher (1925) and Rao (1961, 1962)] states that the information loss of the MLE is minimal among an appropriate class of best asymptotic normal estimators in a curved multinomial model with a single parameter, and they say that the MLE is second ..."
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efficient. A new terminology recently more often used for this efficiency is thirdorder efficiency, see e.g., Pfanzagl and Wefelmeyer [(1978), Note 1, page 2] and Ghosh (1994). We shall follow this terminology here. Rao (1963) points out the equivalence between two measures of thirdorder efficiency
Thirdorder computation and bounded arithmetic
 University of Wales Swansea
, 2006
"... Abstract. We describe a natural generalization of ordinary computation to a thirdorder setting and give a function calculus with nice properties and recursiontheoretic characterizations of several large complexity classes. We then present a number of thirdorder theories of bounded arithmetic whos ..."
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Cited by 1 (1 self)
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Abstract. We describe a natural generalization of ordinary computation to a thirdorder setting and give a function calculus with nice properties and recursiontheoretic characterizations of several large complexity classes. We then present a number of thirdorder theories of bounded arithmetic
Third order invariants of surfaces
, 2005
"... Abstract. The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in threespace. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components ..."
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Abstract. The classical invariant theory from the 19th century is used to determine a complete system of 3rd order invariants on a surface in threespace. The invariant ring has 18 generators and the ideal of syzygies has 65 generators. The invariants are expressed as polynomials in the components
Results 1  10
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2,723,505