scholarly journals Analogues of Lusztig's higher order relations for the q-Onsager algebra

2014 ◽  
Vol 55 (8) ◽  
pp. 081707 ◽  
Author(s):  
P. Baseilhac ◽  
T. T. Vu
Keyword(s):  
Higher Order ◽  
Order Relations ◽  
Onsager Algebra

Personality and psychopathology: Higher order relations between the five factor model of personality and the MMPI-2 Restructured Form

2013 ◽  
Vol 47 (5) ◽  
pp. 572-579 ◽  
Author(s):  
Paul T. van der Heijden ◽  
Gina M.P. Rossi ◽  
William M. van der Veld ◽  
Jan J.L. Derksen ◽  
Jos I.M. Egger
Keyword(s):  
Factor Model ◽  
Five Factor Model ◽  
Higher Order ◽  
Order Relations

General coalescence conditions for the exact wave functions. II. Higher-order relations for many-particle systems

2014 ◽  
Vol 140 (21) ◽  
pp. 214103 ◽  
Author(s):  
Yusaku I. Kurokawa ◽  
Hiroyuki Nakashima ◽  
Hiroshi Nakatsuji
Keyword(s):  
Higher Order ◽  
Particle Systems ◽  
Wave Functions ◽  
Order Relations

scholarly journals On the class gamma and related classes of functions

2013 ◽  
Vol 93 (107) ◽  
pp. 1-18 ◽  
Author(s):  
Edward Omey
Keyword(s):  
Uniform Convergence ◽  
Auxiliary Function ◽  
Higher Order ◽  
Representation Theorems ◽  
Order Relations ◽  
Measurable Functions ◽  
Local Uniform Convergence

The gamma class ??(g) consists of positive and measurable functions that satisfy f(x + yg(x))/f(x) ? exp(?y). In most cases the auxiliary function g is Beurling varying and self-neglecting, i.e., g(x)/x ? 0 and g??0(g). Taking h = log f, we find that h?E??(g, 1), where E??(g, a) is the class of positive and measurable functions that satisfy (f(x + yg(x))? f(x))/a(x) ? ?y. In this paper we discuss local uniform convergence for functions in the classes ??(g) and E??(g, a). From this, we obtain several representation theorems. We also prove some higher order relations for functions in the class ??(g) and related classes. Two applications are given.

scholarly journals On higher order relations in Fedosov supermanifolds

2006 ◽  
Vol 39 (21) ◽  
pp. 6501-6508 ◽  
Author(s):  
P M Lavrov ◽  
O V Radchenko
Keyword(s):  
Higher Order ◽  
Order Relations

Generation of Hypotheses in Wason's 2–4–6 Task: an Information Theory Approach

2005 ◽  
Vol 58 (2) ◽  
pp. 309-332 ◽  
Author(s):  
Paolo Cherubini ◽  
Elena Castelvecchio ◽  
Anna Maria Cherubini
Keyword(s):  
Higher Order ◽  
Formal Property ◽  
Theory Approach ◽  
Common Features ◽  
First Order ◽  
Amount Of Information ◽  
Information Object ◽  
Order Relations ◽  
Hypotheses Generation ◽  
High Information

We explored the “context of discovery” in Wason's 2–4–6 task, focusing on how the first hypothesis is generated. According to Oaksford and Chater (1994a) people generate hypotheses extracting “common features”, or regularities, from the available triples, but their model does not explain why some regularities contribute to the hypothesis more than do other regularities. Our conjecture is that some regularities contribute to the hypothesis more than do other regularities because people estimate the amount of information in the perceived regularities and try to preserve as much information as possible in their initial hypotheses. Experiment 1, which used two initial triples, showed that the presence of high-information relational regularities in the initial triples affected the information in the initial hypotheses more than did the presence of low-information object regularities. Experiment 2 extended the results to the classic situation in which only one initial triple is given. It also suggested that amount of information is the only aspect of the structure of the triple that affects hypotheses generation. Experiment 3 confirmed the latter finding: Although relations are commonly distinguished between first-order and higher order relations, the latter being most important for generating hypotheses (Gentner, 1983), higher order relations do have an effect on Wason's 2–4–6 task only if their presence increases information. In the conclusion we discuss the statistical soundness of human hypotheses generation processes, and we ask an unanswered question: Amount of information explains why some regularities are preferred to others, but only within a set of “nonarbitrary” regularities; there are object regularities that are rich in information content, but are considered “arbitrary”, and are not used in generating hypotheses. Which formal property can distinguish between these two sets of regularities?

General coalescence conditions for the exact wave functions: Higher-order relations for two-particle systems

2013 ◽  
Vol 139 (4) ◽  
pp. 044114 ◽  
Author(s):  
Yusaku I. Kurokawa ◽  
Hiroyuki Nakashima ◽  
Hiroshi Nakatsuji
Keyword(s):  
Higher Order ◽  
Particle Systems ◽  
Wave Functions ◽  
Order Relations

Memory for Prose: Development of Mnemonic Strategies and Use of Higher Order Relations

1978 ◽  
Vol 10 (4) ◽  
pp. 337-344 ◽  
Author(s):  
Daniel J. Christie ◽  
Gary M. Schumacher
Keyword(s):  
Analysis Of Variance ◽  
Contextual Information ◽  
Memory Task ◽  
Fourth Grade ◽  
Higher Order ◽  
High Order ◽  
Older Children ◽  
Order Relations ◽  
Age Related

The study sought to determine (a) if age-related increases in memory for prose are, in part, due to deliberate mnemonic strategies, and (b) if older children use the high order relations in prose more efficiently than younger children. Tape-recorded passages were presented to 40 first and 40 fourth grade children. To induce deliberate mnemonic strategies, half of the children from each grade were informed that there would be a memory task; the rest were not told. Additionally, half of the children from each grade were presented contextual information which made the high order relations in prose apparent; the remaining children were not presented contextual information. After passage presentation, each child was asked to reconstruct the story. The analysis of variance indicated that older but not younger children exhibited higher reconstruction scores if they were told versus not told about the memory task. These results suggest that older children engaged in deliberate strategies. Additionally, reconstruction scores were higher if contextual information was presented than withheld. Apparently if contextual information is available, older as well as younger children efficiently retain the analysis of the high order relations extracted from prose.

Darwin's last word: How words changed cognition

2008 ◽  
Vol 31 (2) ◽  
pp. 132-132 ◽  
Author(s):  
Derek Bickerton
Keyword(s):  
Mental Representations ◽  
Higher Order ◽  
Good Case ◽  
Order Relations

AbstractAlthough Penn et al. make a good case for the existence of deep cognitive discontinuity between humans and animals, they fail to explain how such a discontinuity could have evolved. It is proposed that until the advent of words, no species had mental representations over which higher-order relations could be computed.

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