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Numerically satisfactory solutions of hypergeometric recursions
 Math. Comp
"... Abstract. Each family of Gauss hypergeometric functions fn = 2F1(a + ε1n, b + ε2n; c + ε3n; z), n ∈ Z, for fixed εj =0,±1 (notallεjequal to zero) satisfies a second order linear difference equation of the form Anfn−1 + Bnfn + Cnfn+1 =0. Because of symmetry relations and functional relations for the ..."
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Cited by 8 (3 self)
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for the Gauss functions, many of the 26 cases (for different εj values) can be transformed into each other. In this way, only with four basic difference equations can all other cases be obtained. For each of these recurrences, we give pairs of numerically satisfactory solutions in the regions in the complex
Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization
, 1993
"... The paper describes a rankbased fitness assignment method for Multiple Objective Genetic Algorithms (MOGAs). Conventional niche formation methods are extended to this class of multimodal problems and theory for setting the niche size is presented. The fitness assignment method is then modified to a ..."
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Cited by 633 (15 self)
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satisfactory solution to the problem. Illustrative results of how the DM can interact with the genetic algorithm are presented. They also show the ability of the MOGA to uniformly sample regions of the tradeoff surface.
An almost ideal demand system.
 American Economic Review,
, 1980
"... Ever since Richard Stone (1954) first estimated a system of demand equations derived explicitly from consumer theory, there has been a continuing search for alternative specifications and functional forms. Many models have been proposed, but perhaps the most important in current use, apart from the ..."
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Cited by 636 (0 self)
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for testing, extending, and improving conventional demand analysis. This does not imply that the system, particularly in its simple static form, is to be regarded as a fully satisfactory explanation of consumers' behavior. Indeed, by proposing a demand system which is superior to its predecessors, we
Astrophysically Satisfactory Solutions to Einstein’s R33 Gravitational Field Equations Exterior/Interior to Static Homogeneous Oblate Spheroidal Masses
"... In this article, we formulate solutions to Einstein’s geometrical field equations derived using our new approach. Our field equations exterior and interior to the mass distribution have only one unknown function determined by the mass or pressure distribution. Our obtained solutions yield the unkno ..."
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In this article, we formulate solutions to Einstein’s geometrical field equations derived using our new approach. Our field equations exterior and interior to the mass distribution have only one unknown function determined by the mass or pressure distribution. Our obtained solutions yield
A photometric adaptation of the Somogyi method for the determination of glucose
 J. Biol. Chem. 1944
"... The reliability of the various SomogyiShafferHartmann (1, 2) copper reagents for glucose determination in biological material has been established. Adaptation of these reagents to calorimetric use may be accomplished by omission of the iodide and iodate in their preparation, since these interfer ..."
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Cited by 410 (0 self)
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, this difficulty is avoided. When the Somogyi micro reagent (2) is used in this way with almost any of the various phosphomolybdate reagents, very satisfactory proportionality is found between color density and glucose taken over a wide range of values. However, all of the phosphomolybdate reagents tried left
A New Solution to the Coherence Problems in Multicache Systems
 IEEE Transactions on Computers
, 1987
"... AbstractA memory hierarchy has coherence problems as sooncontents of the main memoryis copied in thecache. One as one of its levels is split in several independent unitswhich are not says that such a datumis present in the cache. If a processor p^ilarl adonauMla frnw factor lnwale nr nrd%d ..."
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Cited by 256 (1 self)
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solution is not entirely satisfactory, as it tends to reduce the throughput of the memory hierarchyand to increase itscost. A new solution is presented and discussed here: the presence flag solution. It has both a lower cost and a lower overhead than the classical solution. A very important feature
Learning policies for partially observable environments: Scaling up
, 1995
"... Partially observable Markov decision processes (pomdp's) model decision problems in which an agent tries to maximize its reward in the face of limited and/or noisy sensor feedback. While the study of pomdp's is motivated by a need to address realistic problems, existing techniques for fin ..."
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Cited by 296 (11 self)
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for finding optimal behavior do not appear to scale well and have been unable to find satisfactory policies for problems with more than a dozen states. After a brief review of pomdp's, this paper discusses several simple solution methods and shows that all are capable of finding nearoptimal policies
Support for Obtaining Satisfactory Design Solutions of Form and Structure by Applying the Emergent FormGeneration System
"... Abstract: It is important to design in a short period of time efficiently as studies of concurrent engineering have been developed. Obtaining design solutions that satisfy an evaluation of form such as originality and structure such as strength (satisfactory design solutions of form and structure) a ..."
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Abstract: It is important to design in a short period of time efficiently as studies of concurrent engineering have been developed. Obtaining design solutions that satisfy an evaluation of form such as originality and structure such as strength (satisfactory design solutions of form and structure
Transformation Invariance in Pattern Recognition  Tangent Distance and Tangent Propagation
 Lecture Notes in Computer Science
, 1998
"... . In pattern recognition, statistical modeling, or regression, the amount of data is a critical factor affecting the performance. If the amount of data and computational resources are unlimited, even trivial algorithms will converge to the optimal solution. However, in the practical case, given ..."
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Cited by 161 (2 self)
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. In pattern recognition, statistical modeling, or regression, the amount of data is a critical factor affecting the performance. If the amount of data and computational resources are unlimited, even trivial algorithms will converge to the optimal solution. However, in the practical case, given
Results 1  10
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2,622