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Bionomina ◽  
2021 ◽  
Vol 25 (1) ◽  
Author(s):  
ALAIN DUBOIS

The term metamorph for just metamorphosed amphibians appeared surreptitiously in the batrachological literature. It is shown here that this term is linguistically unjustified and conceptually confusing, as it has never been associated with a clear, formal definition stating in particular when does this developmental stage start and end. The use of the term imago for an individual resulting from the last metamorphosis following a larval stage, which exists for insects since 1767 and for amphibians since 1808, is much preferable. For amphibians, the formal definition of this term was given in 1978 as an animal having completed its metamorphosis, before having substantially grown and until the first major ecological event in its life cycle (such as migration, hibernation or aestivation). In amphibians, this stage is followed by a stage juvenile and a stage subadult until the stage adult is reached, which is defined by sexual maturity and ability to reproduce. Given the diversity of developmental modes in the animal kingdom, it would be vain to try to homogenise the terminology of all detailed developmental stages across all groups. However, the possibility to homogenise the use of the term imago throughout zoology for specimens resulting from the ‘last metamorphosis’ (i.e., drastic change not only of form but also in some anatomical structures), whether followed by growth and minor transformations or not, and whether associated with sexual maturity or not, would certainly be worth considering. This would allow to have a few general descriptive terms to designate the main similar, but not homologous, ‘landmarks’ observed in the development of many animals (egg, larva, imago and adult), just like we have a general term (metamorphosis) for ‘similar’ phenomena which are not homologous. This would not prevent specialists of the various zoological groups to have specific terms for more precisely defined ‘stages’ which are proper to these groups.


Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3112
Author(s):  
Jesus Cerquides

Probabilistic graphical models allow us to encode a large probability distribution as a composition of smaller ones. It is oftentimes the case that we are interested in incorporating in the model the idea that some of these smaller distributions are likely to be similar to one another. In this paper we provide an information geometric approach on how to incorporate this information and see that it allows us to reinterpret some already existing models. Our proposal relies on providing a formal definition of what it means to be close. We provide an example on how this definition can be actioned for multinomial distributions. We use the results on multinomial distributions to reinterpret two already existing hierarchical models in terms of closeness distributions.


2021 ◽  
Vol 2131 (2) ◽  
pp. 022131
Author(s):  
K S Korovina ◽  
I Sh Rudova

Abstract The polynomial realized formulas are introduced with quantifiers acting on hierarchy lists described by CF-grammars. Upper estimates of execution complexity are obtained depending from the sort of grammar. These formulas have been applied for formal definition of context-dependent syntax of programming languages and describing dynamic discrete system.


Author(s):  
Franco Flandoli ◽  
Umberto Pappalettera ◽  
Elisa Tonello

Motivated by the problem of identifying a mathematical framework for the formal definition of concepts such as weather, climate and connections between them, we discuss a question of convergence of short-time time averages for random nonautonomous dynamical systems depending on a parameter. The problem is formulated by means of Young measures. Using the notion of pull-back attractor, we prove a general theorem giving a sufficient condition for the tightness of the law of the approximating problems. In a specific example, we show that the theorem applies and we characterize the unique limit point.


Drones ◽  
2021 ◽  
Vol 5 (4) ◽  
pp. 137
Author(s):  
Dmitry Yasentsev ◽  
Timofey Shevgunov ◽  
Evgeny Efimov ◽  
Boris Tatarskiy

The article reviews the problem of landing on hard-to-reach and poorly developed territories, especially in the case of unmanned aerial vehicles. Various landing systems and approaches are analyzed, and their key advantages and disadvantages are summarized; afterwards, an approach with passive reflectors is considered. A formal definition is provided for the main factors relative to the accuracy analysis, and a model is presented. The way to improve the landing procedure, while simultaneously meeting various practical constraints, is analyzed; the results of numerical simulation are presented, followed by the detailed conclusion describing still remaining challenges and subjects for further research.


2021 ◽  
Author(s):  
Chenchen Han

Blockchain as an emerging cryptographic database technology has gained wide attention in many directions. Among them, data security is one of the hot spots of research in blockchain. In this paper, we first analyze the security problems of blockchain and then propose to solve them with hierarchical identity-based broadcast encryption (HIBBE). HIBBE, as a variant of hierarchical identity-based cryptography, can effectively improve the data security. HIBBE has all the characteristics of hierarchical identity-based cryptography, so it has potential in decentralized application scenarios. Then we made an overview of the several existing HIBBE scheme. This paper also gives a formal definition of HIBBE and concludes with the research direction of HIBBE-based blockchain.


2021 ◽  
pp. 1-19
Author(s):  
Theodore M. Lechterman

This introductory chapter begins with a case study of a prominent donation by Amazon founder Jeff Bezos. Reactions to this announcement represent a common trend in criticism of philanthropy that overlooks the value of democracy. The chapter offers a formal definition of philanthropy as a social practice constituted by impersonal gratuitous transfers of private property. It reports recent statistics about the practice’s development. It argues that philanthropy raises distinctive political questions. It summarizes recent work on philanthropy in moral and political philosophy, noting its limited appreciation of democratic concerns. The chapter closes with a preview of the subsequent chapters and a disclaimer about the selective treatment of topics.


2021 ◽  
Vol 5 (OOPSLA) ◽  
pp. 1-26
Author(s):  
Artem Pelenitsyn ◽  
Julia Belyakova ◽  
Benjamin Chung ◽  
Ross Tate ◽  
Jan Vitek

As a scientific programming language, Julia strives for performance but also provides high-level productivity features. To avoid performance pathologies, Julia users are expected to adhere to a coding discipline that enables so-called type stability. Informally, a function is type stable if the type of the output depends only on the types of the inputs, not their values. This paper provides a formal definition of type stability as well as a stronger property of type groundedness, shows that groundedness enables compiler optimizations, and proves the compiler correct. We also perform a corpus analysis to uncover how these type-related properties manifest in practice.


PeerJ ◽  
2021 ◽  
Vol 9 ◽  
pp. e11993
Author(s):  
Kate Mortimer ◽  
Kirk Fitzhugh ◽  
Ana Claudia dos Brasil ◽  
Paulo Lana

Known as shovel head worms, members of Magelonidae comprise a group of polychaetes readily recognised by the uniquely shaped, dorso-ventrally flattened prostomium and paired ventro-laterally inserted papillated palps. The present study is the first published account of inferences of phylogenetic hypotheses within Magelonidae. Members of 72 species of Magelona and two species of Octomagelona were included, with outgroups including members of one species of Chaetopteridae and four of Spionidae. The phylogenetic inferences were performed to causally account for 176 characters distributed among 79 subjects, and produced 2,417,600 cladograms, each with 404 steps. A formal definition of Magelonidae is provided, represented by a composite phylogenetic hypothesis explaining seven synapomorphies: shovel-shaped prostomium, prostomial ridges, absence of nuchal organs, ventral insertion of palps and their papillation, presence of a burrowing organ, and unique body regionation. Octomagelona is synonymised with Magelona due to the latter being paraphyletic relative to the former. The consequence is that Magelonidae is monotypic, such that Magelona cannot be formally defined as associated with any phylogenetic hypotheses. As such, the latter name is an empirically empty placeholder, but because of the binomial name requirement mandated by the International Code of Zoological Nomenclature, the definition is identical to that of Magelonidae. Several key features for future descriptions are suggested: prostomial dimensions, presence/absence of prostomial horns, morphology of anterior lamellae, presence/absence of specialised chaetae, and lateral abdominal pouches. Additionally, great care must be taken to fully describe and illustrate all thoracic chaetigers in descriptions.


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