Clustering Rules Using Empirical Similarity of Support Sets

Author(s):  
Shreevardhan Lele ◽  
Bruce Golden ◽  
Kimberly Ozga ◽  
Edward Wasil
Keyword(s):  
Author(s):  
I. Nikitin

Given a bivariate system of polynomial equations with fixed support sets [Formula: see text] it is natural to ask which multiplicities its solutions can have. We prove that there exists a system with a solution of multiplicity [Formula: see text] for all [Formula: see text] in the range [Formula: see text], where [Formula: see text] is the set of all integral vectors that shift B to a subset of [Formula: see text]. As an application, we classify all pairs [Formula: see text] such that the system supported at [Formula: see text] does not have a solution of multiplicity higher than [Formula: see text].


2000 ◽  
Vol 67 (6) ◽  
pp. 699-706
Author(s):  
A. B. Bogatyrev

2019 ◽  
Vol 40 (6) ◽  
pp. 365-379 ◽  
Author(s):  
Bonnie Billingsley ◽  
Elizabeth Bettini ◽  
Nathan D. Jones

Induction is designed to support teachers’ effectiveness, improve their students’ learning, and foster their retention. We consider how high-leverage practices (HLPs) might provide an instructional framework for special education teacher (SET) induction. With sensemaking theory as a conceptual foundation, we posit that, by structuring induction experiences and instructional conditions around HLPs, schools and districts can send more coherent messages about effective instruction, thereby easing new SETs’ efforts to make sense of their roles. We first provide a brief review of research on new SETs’ experiences. Next, we consider how specific induction components (i.e., professional development and mentoring, teacher evaluation, and collaboration) and instructional conditions (i.e., collaboration, instructional curricula and resources, and schedules) might be structured to support SETs’ learning of and use of these HLPs. We conclude with considerations for researchers and practitioners.


2002 ◽  
Vol 79 (1) ◽  
pp. 51-60 ◽  
Author(s):  
P. Gorkin ◽  
R. Mortini
Keyword(s):  

1985 ◽  
Vol 29 (1) ◽  
pp. 96-102
Author(s):  
Rahman M. Younis
Keyword(s):  

Author(s):  
Douglas Sambati

The article analyses three museums – the Muzeum Romské Kultury in Czech Republic, the Muzej Romské Kulture in Serbia, and the Roma Ethnographic Museum in Poland – can be considered as elements of the Romani Nationalism. The main objective is to reflect on how these museums support a broad narrative about a common Indian origin of Gypsy/Romani populations. It is discussed how the aforementioned museums – by means of their exhibitions, websites, events or other any kind of official production – support sets of representations which allow a formation of an umbrella rhetoric about the groups known, taken and self-ascribed as Gypsies and/or Roma. The said rhetoric, then, is able to shelter all different groups within this population in a holistic manner, based on a narrative formed by essentializations, exoticizations and generalizations. The utmost layer of such practices it is an elaboration of a founding myth of their Indian Origins. This paper understands throughout that museums have a role in the process in which the concept of Roma is generalized in an attempt to rewrite and relabel Gypsy memory as a Roma history. Hence, considering the plurality that characterise the Gypsy/Romani people, it was necessary to articulate common aspects – whether truthful or not, is not the target of this article to discuss – which would legitimise this new identity, a Roma identity. This paper relies on the theories about memory, museology, sociomuseology, and the theory of representations. Key-words: Gypsy/Roma; Museums; Indian Origins; Nationalism.


1990 ◽  
Vol 37 (3) ◽  
pp. 367-383 ◽  
Author(s):  
Paul Budde
Keyword(s):  

Author(s):  
Kiyohiko Uehara ◽  
◽  
Kaoru Hirota ◽  

As an extended way for inference based on multi-level interpolation, the number of multi-level points, generated with the α-cuts of given facts, is increased by making larger the number of levels of α. The conventional way uses the number of the levels adopted to define each given fact by α-cuts. A basic study is performed with triangular membership functions, where it is examined how the accuracy of mapping with fuzzy rules changes in increasing the number of the levels. It is also examined how deduced consequences behave when the number is increased. Moreover, convergent core sets of consequences are theoretically derived in the increase by the effective use of non-adaptive inference operations for core sets. They are used as references in simulation studies. Increasing the number of the levels provides nonlinear mapping with more precise reflection of distribution forms of sparse fuzzy rules to consequences. The basic study here contributes to improving the reflection accuracy. In simulations for the basic study, it is found that the mapping accuracy improves when the number of levels of α is increased. It is also confirmed that deduced core sets converge to those theoretically derived. Support sets are also found to converge in increasing the number of the levels. The core sets and support sets of deduced consequences do not, however, monotonically converge. This property causes difficulty in determining the optimized number of the levels so as to satisfy required mapping accuracy. In order to solve this problem, further discussions may be possible to theoretically derive convergent consequences and to use them in practical fields, in accordance with the theoretically derived core sets mentioned above.


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