scholarly journals On Bonds for Generalized One-Sided Concept Lattices

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 211
Author(s):  
Jozef Pócs ◽  
Jana Pócsová

The generalized one-sided concept lattices represent a generalization of the classical FCA method convenient for a hierarchical analysis of object-attribute models with different types of attributes. The mentioned types of object-attribute models are formalized within the theory as formal contexts of a certain type. The aim of this paper is to investigate some intercontextual relationships represented by the notion of bond. A composition of bonds is defined in order to introduce the category of formal contexts with bonds as morphisms. It is shown that there is a one-to-one correspondence between bonds and supremum preserving mappings between the corresponding generalized one-sided concept lattices. As the main theoretical result it is shown that the introduced category of formal contexts with bonds is equivalent to the category of complete lattices with supremum preserving mappings as morphisms.

2020 ◽  
Vol 24 (3) ◽  
pp. 269-285
Author(s):  
Eugenio Moggi ◽  
Walid Taha ◽  
Johan Thunberg

Safety analysis of high confidence systems requires guaranteed bounds on the probability of events of interest. Establishing the correctness of algorithms that compute such bounds is challenging. We address this problem in three steps. First, we use monadic transition systems (MTS) in the category of sets as a general framework for modeling discrete time systems. MTS can capture different types of system behaviors, but here we focus on a combination of non-deterministic and probabilistic behaviors that arises often when modeling complex systems. Second, we use the category of posets and monotonic maps as general setting to define and compare approximations. In particular, for the MTS of interest, we consider approximations of their configurations based on complete lattices of interval probabilities. Third, we obtain an algorithm that computes over-approximations of system configurations after a finite number of steps, by restricting to finite lattices.


2018 ◽  
Vol 36 (1) ◽  
pp. 69-86
Author(s):  
Antonia Ivaldi

Research on teachers’ assessments of students’ playing within music lessons has mainly focused on verbal (spoken) evaluations of their learning. However, closer exploration of these interactions shows that embodied assessments, that is, those that also include non-verbal, multi-modal features as part of the interaction, are found to be particularly relevant when making assessments in performing domains such as music. The study's aim was to examine the different types of assessments made by teachers of their students’ playing, how they were responded to by the student, and the function they served in opening up the learning dialogue. 18 video recordings from one-to-one conservatoire music lessons were analysed and two types of assessments were identified: (1) Explicit, definite assessments that provided a clear statement of the students’ playing (e.g., ‘excellent’, ‘very good’) that resulted in closing down the learning dialogue; and (2) Performative, instructive assessments that were more complex evaluations of the students’ playing (e.g., ‘that's closer’, ‘it's too top heavy’) that necessitated further work, thus leading to a more detailed pedagogic interaction. Findings highlight the importance of looking at embodied assessments as essential components to the learning dialogue in music, as well as discussing the implications that the different types of assessments have for opening up and closing learning interaction.


2001 ◽  
Vol 10 (1) ◽  
pp. 79-93 ◽  
Author(s):  
Zongxin Feng ◽  
Dan Shen

The writer-reader relationship in drama, with stage directions as part of the dramatic language, is much more complicated than that in other types of literature. The complication mainly comes from the fact that 'the reader' is a kind of collective term covering various types of individuals with different pragmatic roles, including the director, the stage producer, the setting designer, actors/actresses, the audience outside the theatre and ordinary readers. Thus, instead of a one-to-one process of communication between the writer and the reader, there are multiple parallel processes between the writer and various types of readers, with the same play text conveying different pragmatic meanings to different addressees. For instance, a play text is utilitarian in the theatrical circle but fictional in the literary circle, and what is imperative for one type of reader is purely descriptive and narrative for another. For various reasons, this area has so far received little critical attention. This article, from a pragmatic-stylistic perspective and with special reference to Eugène Ionesco's The Lesson, attempts to examine how the playwright's discourse strategies produce different effects on different types of readers.


Fractals ◽  
1994 ◽  
Vol 02 (03) ◽  
pp. 457-460 ◽  
Author(s):  
OSCAR CASTILLO ◽  
PATRICIA MELIN

The fractal dimension can be a useful tool in the identification of microorganisms, because it can be experimentally shown that the colonies of different types of bacteria have different geometrical forms, and as a result of this fact different fractal dimensions. Our method of identification of microorganisms for the food industry, is based on the application of a one to one map between the different types of bacteria and their corresponding fractal dimension. The importance of this new method can be related to the need of making more efficient the task of the quality control lab of the food industry.


Linguistics ◽  
2020 ◽  
Vol 58 (5) ◽  
pp. 1447-1500
Author(s):  
Fabienne Martin ◽  
Hamida Demirdache ◽  
Isabel García del Real ◽  
Angeliek van Hout ◽  
Nina Kazanina

AbstractThe acquisition literature has documented several different types of misinterpretations of telic sentences by children, yet a comprehensive analysis of these child interpretations has not been attempted and a crosslinguistic perspective is lacking. This task is not easy, for, on the surface, children’s non-adultlike interpretations appear to be scattered and even contradictory across languages. Several cognitive biases have been proposed to explain given patterns (children initially adhere to a Manner bias, or alternatively a Result bias). Reviewing a wide range of studies on the acquisition of telic sentences in relation to tense-aspect markers, we show that children’s non-adultlike interpretations fall into three different patterns. We conclude that the diversity of non-adultlike interpretations that is found across child languages is incompatible with accounts that rely on these cognitive, language-independent principles, but instead is triggered by language-specific properties. Analyzing these patterns in detail, it appears that child learners across languages have problems with tense-aspect forms with variable meanings, in contrast to forms with a one-to-one form/meaning mappings which are acquired earlier. While adults use a context-sensitive interpretation of forms with multiple meanings, various semantic-pragmatic sources can explain children’s difficulties with interpreting such forms. All explanations that we identify across child languages rely on children’s immature command of pragmatic reasoning, albeit in very different ways for the three different patterns. Thus, by taking a crosslinguistic semantic approach and integrating detailed insights from the tense-aspect semantics of specific languages with universal pragmatic effects, we explain the non-adultlike interpretation of telic sentences in a variety of child languages in a comprehensive way.


Author(s):  
Suzarina Ahmed Sukri ◽  
Taufiq Khairi Ahmad Khairuddin ◽  
Mukhiddin Muminov ◽  
Yeak Su Hoe ◽  
Syafina Ahmad

Polarization tensor (PT) is a classical terminology in fluid mechanics and theory of electricity that can describe geometry in a specific boundary domain with different conductivity contrasts. In this regard, the geometry may appear in a different size, and for easy characterizing, the usage of PT to identify particular objects is crucial. Hence, in this paper, the first order polarization tensor for different types of object with a diverse range of sizes are presented. Here, we used three different geometries: sphere, ellipsoid, and cube, with fixed conductivity for each object. The software Matlab and Netgen Mesh Generator are the essential mathematical tools to aid the computation of the polarization tensor. From the analytical results obtained, the first order PT for sphere and ellipsoid depends on the size of both geometries. On the other hand, the numerical investigation is conducted for the first order PT for cube, since there is no analytical solution for the first order PT related to this geometry, to further verify the scaling property of the first order PT due to the scaling on the size of the original related object. Our results agree with the previous theoretical result that the first order polarization tensor of any geometry will be scaled at a fixed scaling factor according to the scaling on the size of the original geometry.


TERRITORIO ◽  
2009 ◽  
pp. 182-186
Author(s):  
Alessandra Giannini

- To read means to assume an active viewpoint with regard to what exists and it is a fundamental stage in any approach to modifying or conserving things and therefore in planning them. A focused reading of a geographical area becomes a means of bringing out its important features. Three different types of reading can be assumed today which we will identify with the paradigms of collage, reportage and déjŕ-vu. The first is a zenithal reading through an all inclusive ‘bird's eye view' which interprets the land and its community with a scientific and geographical eye. This reading draws on the cartographical interpretations and codifications of geography and returns a visual collage which comprises the geographical area. A frontal reading places a person at the centre of the spatial interpretation in a one-to-one relationship with the text and it shows us the interpretative figure of reportage. The context can be read ‘over time' by setting oneself in relation to the past, to the existing present and to the future implying the concepts of change and permanence: what this viewpoint returns is the figure of déjŕ-vu. Water is a very important feature of the area, both historically and today. Historically the built-up fabric of the district developed originally from the Darsena along the banks of the two canals. This fragmentary dispersion is underlined by the existence of rundown areas and the lack of a heart, a centre for the area.


1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.


2020 ◽  
Vol 43 ◽  
Author(s):  
Rajen A. Anderson ◽  
Benjamin C. Ruisch ◽  
David A. Pizarro

Abstract We argue that Tomasello's account overlooks important psychological distinctions between how humans judge different types of moral obligations, such as prescriptive obligations (i.e., what one should do) and proscriptive obligations (i.e., what one should not do). Specifically, evaluating these different types of obligations rests on different psychological inputs and has distinct downstream consequences for judgments of moral character.


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