necessary and sufficient criteria
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Author(s):  
Alexander Navoyev

In this paper, on the basis of well-known facts, some specific features of the evolutionary and revolutionary processes are determined, the necessary and sufficient criteria for their differences are formulated and their types classified, which reveals their place and role in the progressive development of society. 


2020 ◽  
Author(s):  
Nicolas Pichot ◽  
Eric Bonetto ◽  
Jean-Baptiste Pavani ◽  
Thomas Arciszewski ◽  
Nathalie Bonnardel ◽  
...  

In scientific research on creativity, there has been considerable debate concerning the criteria by which a production can be judged more or less creative, that is, about the definition of creativity. The most frequent definition – the standard definition – incorporates the criteria of novelty and value. However, other definitions, based on a single criterion or on more than two criteria, have also been proposed. Much of the discussion of this issue has been based on semantic analysis, a logical analysis of the concepts involved and the usefulness of the various proposed criteria. In this article, question of the necessary and sufficient criteria for defining creativity is approached from an empirical (i.e., psychometric) perspective. The studies that are examined here converge on the idea that the standard definition is not internally consistent, because its two proposed criteria (i.e., novelty and value) are largely independent. Moreover, judgments of the creativity of an object seem to be explained mainly by its novelty, which suggests the possible sufficiency of that criterion. These results are consistent with the intentional novelty definition proposed recently by Weisberg (2015, 2018).


Author(s):  
Malte Gerhold ◽  
Michael Skeide

We present a new more flexible definition of interacting Fock space that allows to resolve in full generality the problem of embeddability. We show that the same is not possible for regularity. We apply embeddability to classify interacting Fock spaces by squeezings. We give necessary and sufficient criteria for when an interacting Fock space has only bounded creators, giving thus rise to new classes of non-selfadjoint and selfadjoint operator algebras.


2019 ◽  
Vol 63 (1) ◽  
pp. 6-26 ◽  
Author(s):  
C. BROWN ◽  
S. PUMPLÜN

AbstractLet D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation. For each f ϵ D[t, σ, δ] of degree m > 1 with a unit as leading coefficient, there exists a unital nonassociative algebra whose behaviour reflects the properties of f. These algebras yield canonical examples of right division algebras when f is irreducible. The structure of their right nucleus depends on the choice of f. In the classical literature, this nucleus appears as the eigenspace of f and is used to investigate the irreducible factors of f. We give necessary and sufficient criteria for skew polynomials of low degree to be irreducible. These yield examples of new division algebras Sf.


2019 ◽  
Vol 9 (1) ◽  
Author(s):  
C. Robert Cloninger ◽  
Kevin M. Cloninger ◽  
Igor Zwir ◽  
Liisa Keltikangas-Järvinen

Abstract Recent genome-wide association studies (GWAS) have shown that temperament is strongly influenced by more than 700 genes that modulate associative conditioning by molecular processes for synaptic plasticity and long-term learning and memory. The results were replicated in three independent samples despite variable cultures and environments. The identified genes were enriched in pathways activated by behavioral conditioning in animals, including the two major molecular pathways for response to extracellular stimuli, the Ras-MEK-ERK and the PI3K-AKT-mTOR cascades. These pathways are activated by a wide variety of physiological and psychosocial stimuli that vary in positive and negative valence and in consequences for health and survival. Changes in these pathways are orchestrated to maintain cellular homeostasis despite changing conditions by modulating temperament and its circadian and seasonal rhythms. In this review we first consider traditional concepts of temperament in relation to the new genetic findings by examining the partial overlap of alternative measures of temperament. Then we propose a definition of temperament as the disposition of a person to learn how to behave, react emotionally, and form attachments automatically by associative conditioning. This definition provides necessary and sufficient criteria to distinguish temperament from other aspects of personality that become integrated with it across the life span. We describe the effects of specific stimuli on the molecular processes underlying temperament from functional, developmental, and evolutionary perspectives. Our new knowledge can improve communication among investigators, increase the power and efficacy of clinical trials, and improve the effectiveness of treatment of personality and its disorders.


2019 ◽  
Vol 19 (09) ◽  
pp. 2050169
Author(s):  
Amir Behzad Farrahy ◽  
Abbas Nasrollah Nejad

In this paper, necessary and sufficient criteria for the Jacobian ideal of a reduced hypersurface with isolated singularity to be of linear type are presented. We prove that the gradient ideal of a reduced projective plane curve with simple singularities ([Formula: see text]) is of linear type. We show that any reduced projective quartic curve is of gradient linear type.


Vestnik MGSU ◽  
2019 ◽  
pp. 805-818 ◽  
Author(s):  
Elena V. Gorbenkova

Introduction: a spatial development reference skeleton model is proposed for solving problems of settlement development. The model is necessary for improving rural settlement planning, renovation and reforming. Constituents of the territorial settlement reference skeleton were considered. The research aims at the practical approval of a rural settlement skeleton integrated assessment. Materials and methods: open cartographic sources, territorial planning documents, information from the National Statistical Committee of the Republic of Belarus were studied. The methodological basis of the research consists of such general scientific methods as a system approach and comparative analysis method as well as a particular interdisciplinary method of cartographic simulation using geographic information systems. Results: features of Mahilyow region reference skeleton were revealed. The reference skeleton includes the historical and cultural, natural and ecological, transport and communication, and settling constituents. The necessary and sufficient criteria for obtaining the integrated assessment of rural settlement reference skeleton are substantiated. That allows determining the strategic directions of sustainable territorial development. Based on the integrated assessment, the cartogram of the settlement potential of Mahilyow region of the Republic of Belarus was compiled. Generalization of the obtained results allows formulating some recommendations for town planning to determine the strategic lines of Mahilyow region sustainable development subject to the rural settlement prospects. Conclusions: the research shows that the application of system approach and a cartographic modelling of the territorial settlement reference skeleton is a useful tool for assessing the rural settlement skeleton. Further research is conceived in the development of prospective models of settling, natural and ecological, historical and cultural, transport and communication skeletons. Acknowledgement. The research was supported by RAACS under the fundamental research plan of the Ministry of Construction, Housing and Utilities of the Russian Federation (2018).


2019 ◽  
Author(s):  
Mahesh Srinivasan ◽  
Eleanor Chestnut ◽  
Peggy Li ◽  
David Barner

It is typically assumed that count nouns like fork act as logical sortals, specifying whether objects are countable units of a kind (e.g., that a whole fork counts as “one fork”) or not (e.g., that a piece of a fork does not count as “one fork”). In four experiments, we provide evidence from linguistic and conceptual development that nouns do not specify units of quantification, but include both whole objects and their arbitrary parts in their denotations. We argue that, to restrict quantification to whole objects, nominal concepts are enriched pragmatically, via contrast with concepts denoted by alternative descriptions: a piece of a fork is not counted as “one fork” because it is “one piece of fork.” Experiment 1 replicated previous findings that children count pieces of broken objects as whole objects (e.g., two pieces of fork as “two forks”), and showed that children also accept whole object labels as descriptions of object pieces (e.g., “two forks” to describe two pieces of fork). Experiment 2 showed that although children accept such descriptions in isolation, they prefer measure phrases (e.g., “two pieces of fork”) when they are explicitly presented as alternatives. Experiment 3 found that children were better at excluding pieces from their counts of whole objects when measure phrases were primed prior to counting, making them accessible as alternatives to whole object labels. Finally, Experiment 4 taught children names for novel objects, and found that they do not count parts that are given unique labels or that have non-linguistic properties that suggest they are members of distinct object kinds (e.g., unique functions or physical affordances). Together, our results suggest that for children and adults alike, nominal concepts do not provide necessary and sufficient criteria for excluding parts from object kinds. To specify units of quantification – and do the work of sortals – concepts are contrasted with one another and enriched pragmatically.


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