Selective Enumeration: A Formal Definition

1998 ◽  
Author(s):  
Craig A. Damon
Keyword(s):  
2018 ◽  
pp. 89-94
Author(s):  
V. A. Minaev ◽  
I. D. Korolev ◽  
V. V. Mukhortov

The article deals with the issues of integrated assessment of complex technical systems stability functioning in techno sphere and info sphere. It is shown that the concept of cyber stability, including its components such as cyber reliability, noise immunity and cyber survivability are insufficiently investigated and defined. The formal definition is given and the scale with various gradation of cyber survivability is entered. On the example of robotic systems in form of drones two variants of mathematical models of cyber survivability estimation are considered. The first variant is related to the description of drones functioning in the conditions of computer attacks without impact protection systems. The second variant reflects the functioning of drones under the conditions of impacts in the presence of adaptive combined cybernetic protection system. In both variants, two strategies are considered - with minimal and maximum intensity of effects on the drone. It is concluded that proposed in the paper approach enables to evaluate the integrated stability of complex technical systems in the techno sphere and info sphere at the same time.


1973 ◽  
Author(s):  
R. Noonan ◽  
V. Basili ◽  
R. Hamlet ◽  
M. Lay ◽  
D. Mills ◽  
...  

2021 ◽  
Vol 1752 (1) ◽  
pp. 012082
Author(s):  
Nurdin ◽  
S F Assagaf ◽  
F Arwadi

2016 ◽  
Vol 30 (1) ◽  
pp. 185-206 ◽  
Author(s):  
Xavier Gabaix

Many of the insights of economics seem to be qualitative, with many fewer reliable quantitative laws. However a series of power laws in economics do count as true and nontrivial quantitative laws—and they are not only established empirically, but also understood theoretically. I will start by providing several illustrations of empirical power laws having to do with patterns involving cities, firms, and the stock market. I summarize some of the theoretical explanations that have been proposed. I suggest that power laws help us explain many economic phenomena, including aggregate economic fluctuations. I hope to clarify why power laws are so special, and to demonstrate their utility. In conclusion, I list some power-law-related economic enigmas that demand further exploration. A formal definition may be useful.


2014 ◽  
Vol 532 ◽  
pp. 113-117
Author(s):  
Zhou Jin ◽  
Ru Jing Wang ◽  
Jie Zhang

The rotating machineries in a factory usually have the characteristics of complex structure and highly automated logic, which generated a large amounts of monitoring data. It is an infeasible task for uses to deal with the massive data and locate fault timely. In this paper, we explore the causality between symptom and fault in the context of fault diagnosis in rotating machinery. We introduce data mining into fault diagnosis and provide a formal definition of causal diagnosis rule based on statistic test. A general framework for diagnosis rule discovery based on causality is provided and a simple implementation is explored with the purpose of providing some enlightenment to the application of causality discovery in fault diagnosis of rotating machinery.


2013 ◽  
Vol 811 ◽  
pp. 643-646
Author(s):  
Xue Song Zhou ◽  
Mo Chen ◽  
You Jie Ma

In order to study on the problem of voltage stability of power system, this paper describes the static bifurcation analysis and the dynamic bifurcation analysis in voltage stabilization analysis of power system and its relationship with the voltage stability,discusses the voltage instability caused by two main bifurcation formal definition, the occurrence of the conditions and the calculation of the bifurcation point, and points out advantages and disadvantages of various algorithms. Finally the paper looks forward to further study of the bifurcation theory in terms of voltage stability.


2014 ◽  
Vol 28 (48) ◽  
pp. 430-448 ◽  
Author(s):  
Helena Bezgovšek Vodušek ◽  
Alenka Lipovec

In the geometry research we operate with mental entities, which contain an image as an essential component. This helps us in thinking, but it often does not coincide with the formal definition. In many cases, flat shapes are represented only with a curve, a boundary, and not as a part of the plane, which can lead to a false conception of flat shapes. The purpose of the research was to clarify pre-service elementary teachers' (N=186) concept image in the case of a square, whether it is hollow or filled, and what role it plays in problem solving. Qualitative methodology, specifically thematic analysis, was used in order to analyze participants' responses to a specially designed task. Only a very small part of participants gave expected answers. The results showed that the pre- service teachers' image of a square as a frame totally dominated the conceptual part of the figural concept of a square.


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