scholarly journals Complexity and randomness in the Heisenberg groups (and beyond)

10.53733/134 ◽  
2021 ◽  
Vol 52 ◽  
pp. 403-426
Author(s):  
Persi Diaconis ◽  
Maryanthe Malliaris

By studying the commuting graphs of conjugacy classes of the sequence of Heisenberg groups $H_{2n+1}(p)$ and their limit $H_\infty(p)$ we find pseudo-random behavior (and the random graph in the limiting case). This makes a nice case study for transfer of information between finite and infinite objects. Some of this behavior transfers to the problem of understanding what makes understanding the character theory of the uni-upper-triangular group (mod p) “wild.” Our investigations in this paper may be seen as a meditation on the question: is randomness simple or is it complicated? 

1997 ◽  
Vol 8 (6) ◽  
pp. 417-422 ◽  
Author(s):  
Eric Eich ◽  
Dawn Macaulay ◽  
Richard J. Loewenstein ◽  
Patrice H. Dihle

Virtually all patients with dissociative identity (or multiple personality) disorder manifest interpersonality amnesia, whereby events experienced by a particular personality state or identity are retrievable by that same identity but not by a different one Though considered a hallmark of dissociative identity disorder (DID), interpersonality amnesia has to date attracted little empirical attention. Further, the few studies on the topic typically include just 1 DID patient and a single index of retention In contrast the current experiment involved 9 DID patients and several measures of either explicit or implicit memory Replicating and extending the single-case study of Nissen, Ross, Willingham, MacKenzie, and Schacter (1988), the present results revealed that implicit testing is a necessary but not a sufficient condition for demonstrating transfer of information from one identity to another Specifically, whereas priming in word-stem completion occurred only if the same personality state performed at both study and at test, priming in picture-fragment completion was as robust between different identities as it was within the same identity Discussion focuses on prospects for future research aimed at understanding the nature and scope of interpersonality amnesia


2018 ◽  
Author(s):  
Jay R. Johnson ◽  
Simon Wing ◽  
Enrico Camporeale

Abstract. It is well known that the magnetospheric response to the solar wind is nonlinear. Information theoretical tools such as mutual information, transfer entropy, and cumulant based analysis are able to characterize the nonlinearities in the system. Using cumulant based cost, we show that nonlinear significance of Dst peaks at 3–12 hours lags that can be attributed to VBs which also exhibit similar behavior. However, the nonlinear significance that peaks at lags 25, 50, and 90 hours can be attributed to internal dynamics, which may be related to the relaxation of the ring current. These peaks are absent in the linear and nonlinear self-significance of VBs. Our analysis with mutual information and transfer entropy show that both methods can establish that there are a strong correlation and transfer of information from Vsw to Dst at a time scale that is consistent with that obtained from the cumulant based analysis. However, mutual information also shows that there is a strong correlation in the backward direction, from Dst to Vsw, which is counterintuitive. In contrast, transfer entropy shows that there is no or little transfer of information from Dst to Vsw, as expected because it is the solar wind that drives the magnetosphere, not the other way around. Our case study demonstrates that these information theoretical tools are quite useful for space physics studies because these tools can uncover nonlinear dynamics that cannot be seen with the traditional analyses and models that assume linear relationships.


2013 ◽  
Vol 1 (2) ◽  
pp. 132-143
Author(s):  
Benito A Gonzalez ◽  
Alley C Butler

Knowledge based cost estimating systems are available, but is there a lower limit to their applicability in an industrial environment?  This paper answers this question by examining a knowledge based cost estimating expert system application in a small machine shop.  Differences between the traditional experienced-based system currently employed and the automated system are studied.  Data is gathered to analyze time effectiveness, accuracy, and payback of the software.  Data from seventy part models is recorded to study the time experiment and data from fifty part models is used to study accuracy and consistency.The results indicate that the software is faster than traditional quoting systems; however, the payback point is high. Also, results show that the software has a smaller average time to manufacture percent difference between the automated system and the actual time to manufacture (TTM) compared to the percentage difference between the traditional TTM and actual TTM. Standard deviation for the automation is also less, implying better consistency.  As a result, the attractiveness of the automated system in the limiting case of a small machine shop rests with significantly improved accuracy and consistency rather than payback. 


2020 ◽  
Vol 4 (3) ◽  
pp. 518
Author(s):  
Sutria Ningsih ◽  
Eko Kuntarto ◽  
Agung Rimba Kurniawan

This research is a qualitative research with a type of case study research. The purpose of this study is to find out the problems / obstacles faced by teachers in using (ICT). Information and Communication Technology (ICT) is a tool used to convey information related to the processing, management and transfer of information. As for the types of Information and Communication Technology (ICT) that were the focus of research include: computers / laptops and LCD projectors. In this era of globalization, teachers are required to be able to use ICT in the learning process to add insight and can help teachers in adding teaching material. with the use of ICT in the learning process. The findings from the research results concluded that problems / obstacles that occur in the use of ICT in primary schools such as: time-consuming, limited amount of infocus, students lack of focus on the material, the unavailability of.


1982 ◽  
Vol 5 (4) ◽  
pp. 131-135 ◽  
Author(s):  
J. Michel

The development of data transmission networks has promo ted the free flow of information between countries, allowing the diffusion of science and technology. Linguistic and political barriers still remain. The paper analyses the growth of the publication in English of scientific and technical matenal over the past ten years and examines some of the proposed solutions to translation. The political conflicts of national information policies together with the need for International co-operation are reviewed, concluding with a case study on the advantages and limitations of Euronet.


2020 ◽  
Vol 1 (2) ◽  
pp. 34-41
Author(s):  
Granit Agustina

KNOWLEDGE MANAGEMENT AS A COMPETITIVE STRATEGY IN PT INDOSAT OOREDOO This study discusses Knowledge Management which is carried out in business organizations with the aim to find out the strategy in implementing knowledge management in PT Indosat Ooredoo. This study uses a qualitative method with a case study approach at PT Indosat Ooredoo. Data collection techniques in this study used observation, archival notes, interviews. From the results of the research that has been done, the following conclusions can be drawn: Knowledge management is carried out by creating a process based on information technology and virtual competence. Media technology supports information and communication that is intended to enhance the transfer of information and the overall sharing of organizational knowledge through cooperation and communication between individuals. Knowledge Management is very important as one form of organizational competitive strategy. The form of virtual communication in KM must also explore tacit knowledge. Key Words: Knowledge, knowledge management, storage of knowledge


2021 ◽  
Author(s):  
William Kerr ◽  
Gary J. Knox ◽  
Marc Reid ◽  
Tell Tuttle

<div>Remote directing groups in a bifunctional molecule do not always behave independently of one another in C–H activation chemistries. A combined DFT and experimental mechanistic study to provide enhanced Ir catalysts for chemoselective C–H deuteration of bifunctional aryl primary sulfonamides is described. This provides a pharmaceutically relevant and limiting case study in using binding energies to predict intramolecular directing group chemoselectivity. Rational catalyst design, guided solely by qualitative substrate-catalyst binding free energy predictions, enabled intramolecular discrimination between competing ortho directing groups in C–H activation and delivered improved catalysts for sulfonamide-selective C–H deuteration. As a result, chemoselective binding of the primary sulfonamide moiety was achieved in the face of an intrinsically more powerful pyrazole directing group present in the same molecule. Detailed DFT calculations and mechanistic experiments revealed a breakdown in the applied binding free energy model, illustrating the important interconnectivity of ligand design, substrate geometry, directing group cooperativity, and solvation in supporting DFT calculations. This work has important implications around attempts to predict intramolecular C–H activation directing group chemoselectivity using simplified monofunctional fragment molecules. More generally, these studies provide insights for catalyst design methods for late-stage C–H functionalisation.</div>


Author(s):  
Silvio Dolfi ◽  
Anupam Singh ◽  
Manoj K. Yadav

Let [Formula: see text] be a [Formula: see text]-power where [Formula: see text] is a fixed prime. In this paper, we look at the [Formula: see text]-power maps on unitriangular group [Formula: see text] and triangular group [Formula: see text]. In the spirit of Borel dominance theorem for algebraic groups, we show that the image of this map contains large size conjugacy classes. For the triangular group we give a recursive formula to count the image size.


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