scholarly journals Point configurations, phylogenetic trees, and dissimilarity vectors

2021 ◽  
Vol 118 (12) ◽  
pp. e2021244118
Author(s):  
Alessio Caminata ◽  
Noah Giansiracusa ◽  
Han-Bom Moon ◽  
Luca Schaffler
Keyword(s):  
Phylogenetic Trees ◽  
Geometric Interpretation ◽  
Explicit Characterization ◽  
Point Configurations ◽  
Definition Of ◽  
Tropical Basis ◽  
The Way

In 2004, Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the tropical Grassmannian. Multiple authors, using independent methods, answered affirmatively the first of these questions, showing that dissimilarity vectors lie on the tropical Grassmannian, but the second question, whether the set of dissimilarity vectors forms a tropical subvariety, remained opened. We resolve this question by showing that the tropical balancing condition fails. However, by replacing the definition of the dissimilarity map with a weighted variant, we show that weighted dissimilarity vectors form a tropical subvariety of the tropical Grassmannian in exactly the way that Pachter and Speyer envisioned. Moreover, we provide a geometric interpretation in terms of configurations of points on rational normal curves and construct a finite tropical basis that yields an explicit characterization of weighted dissimilarity vectors.

scholarly journals Face monoid actions and tropical hyperplane arrangements

2017 ◽  
Vol 27 (08) ◽  
pp. 1001-1025
Author(s):  
Marianne Johnson ◽  
Mark Kambites
Keyword(s):  
Hyperplane Arrangement ◽  
Hyperplane Arrangements ◽  
Oriented Matroid ◽  
Definition Of ◽  
The Way

We study the combinatorics of tropical hyperplane arrangements, and their relationship to (classical) hyperplane face monoids. We show that the refinement operation on the faces of a tropical hyperplane arrangement, introduced by Ardila and Develin in their definition of a tropical oriented matroid, induces an action of the hyperplane face monoid of the classical braid arrangement on the arrangement, and hence on a number of interesting related structures. Along the way, we introduce a new characterization of the types (in the sense of Develin and Sturmfels) of points with respect to a tropical hyperplane arrangement, in terms of partial bijections which attain permanents of submatrices of a matrix which naturally encodes the arrangement.

Mixed computation

2021 ◽  
Vol 3 (2) ◽  
pp. 215-244
Author(s):  
Diego Gabriel Krivochen
Keyword(s):  
Computational Complexity ◽  
Natural Language ◽  
Phrase Structure ◽  
Explicit Characterization ◽  
Tree Adjoining Grammar ◽  
Branching Trees ◽  
Structural Descriptions ◽  
Context Free ◽  
The Way

Abstract Proof-theoretic models of grammar are based on the view that an explicit characterization of a language comes in the form of the recursive enumeration of strings in that language. That recursive enumeration is carried out by a procedure which strongly generates a set of structural descriptions Σ and weakly generates a set of strings S; a grammar is thus a function that pairs an element of Σ with elements of S. Structural descriptions are obtained by means of Context-Free phrase structure rules or via recursive combinatorics and structure is assumed to be uniform: binary branching trees all the way down. In this work we will analyse natural language constructions for which such a rigid conception of phrase structure is descriptively inadequate and propose a solution for the problem of phrase structure grammars assigning too much or too little structure to natural language strings: we propose that the grammar can oscillate between levels of computational complexity in local domains, which correspond to elementary trees in a lexicalised Tree Adjoining Grammar.

scholarly journals CONCEPT OF CONSEQUENCES OF CRIME, THEIR PROPERTIES AND CRIMINALISTIC VALUES FOR THE INVESTIGATION OF ORGANIZED CRIME ACTIVITY IN THE FIELD OF TAXATION

2019 ◽  
pp. 233-239
Author(s):  
M. Padalka
Keyword(s):  
Key Words ◽  
Organized Crime ◽  
Criminal Group ◽  
Criminal Activity ◽  
Basic Element ◽  
Theoretical Approaches ◽  
Definition Of ◽  
The Way

The article deals with theoretical approaches to the definition of the concept of traces of a crime, their forensic meaning and properties. It is determined that one of the most important elements of revealing the mechanism of criminal activity is a forensic description of crimes. It reflects the features of the method, as well as the signs of other elements of the structure of criminal activity. In view of this, in the structure of forensic characterization of tax crimes committed by an organized criminal group, we have formulated the features of this class of crime, its traces at certain stages of organized crime, which allows you to establish the basic element of forensic characteristics – the way of committing a crime, as well as place, time it committing and direct participants in organized crime activities. Key words: traces of crimes, forensic characteristic, organized criminal activity, taxation.

scholarly journals Divine Eros and Divine Providence in Proclus’ Educational System

2015 ◽  
pp. 163-176
Author(s):  
Christos Terezis ◽  
Marilena Tsakoymaki
Keyword(s):  
Educational System ◽  
Divine Providence ◽  
Different Types ◽  
Platonic Dialogue ◽  
Definition Of ◽  
The Way

This study examines the way in which the Neoplatonic philosopher Proclus treats an episode of the dialectic communication between Socrates and Alcibiades in the Platonic dialogue Alcibiades I. More specifically, it refers to how the characteristics and the choices of two different types of lovers – the divinely inspired one and the vulgar one – are displayed in the aforementioned text. The characterization ‘divinely inspired lover’ befits a person who communicates in a pure way with his beloved one and attempts to teach the latter the objective values of the intellect. By contrast, the characterization of the ‘vulgar lover’ befits that individual that approaches another individual exclusively on the basis of his external beauty. The first type of lover is presented within the realms of the permanently qualitative, while the second as someone who satisfies solemnly his subjectivity and his instincts. Furthermore, it is interesting to note that Proclus argues that Socrates, whom he considers to represent the very definition of a divinely inspired lover, is inspired by divine powers and attempts to act towards to his fellows – in this instance to Alcibiades – in the way through which the divine providence is revealed.

scholarly journals Organizations and economics

2010 ◽  
Vol 6 (1) ◽  
pp. 39-45
Author(s):  
RICHARD ADELSTEIN
Keyword(s):  
Central Planning ◽  
Alternative Conceptions ◽  
Principal Agent ◽  
Organizational Economics ◽  
Explicit Characterization ◽  
Principal Agent Problem ◽  
Definition Of ◽  
And Control

Abstract:Judge Posner (2010) identifies organizational economics with the principal-agent problem and offers no definition of the crucial term organization, which leads him to force the principal-agent template on social formations that are not organizations and to neglect aspects of their operation that might be illuminated by alternative conceptions of organizational economics. This response offers an explicit characterization of organizations as central planning agencies, considers Posner's examples in light of the problems of purpose, information, and control faced by all central planners, and draws upon an emerging capabilities theory of organizations to extend the scope of Posner's analysis and suggest insights beyond those that flow from the principal-agent approach.

Shakespeare Afoot

2018 ◽  
Author(s):  
John Kerrigan
Keyword(s):  
Early Modern ◽  
Richard Iii ◽  
Midsummer Night's Dream ◽  
As You Like It ◽  
A Midsummer Night's Dream ◽  
History Of ◽  
The Way

That Shakespeare adds a limp to the received characterization of Richard III is only the most conspicuous instance of his interest in how actors walked, ran, danced, and wandered. His attention to actors’ footwork, as an originating condition of performance, can be traced from Richard III through A Midsummer Night’s Dream and As You Like It into Macbeth, which is preoccupied with the topic and activity all the way to the protagonist’s melancholy conclusion that ‘Life’s but a walking shadow, a poor player | That struts and frets his hour upon the stage’. Drawing on classical and early modern accounts of how people walk and should walk, on ideas about time and prosody, and the experience of disability, this chapter cites episodes in the history of performance to show how actors, including Alleyn, Garrick, and Olivier, have worked with the opportunities to dramatize footwork that are provided by Shakespeare’s plays.

scholarly journals Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights

2021 ◽  
Author(s):  
Bin Liu ◽  
Jouni Rättyä ◽  
Fanglei Wu
Keyword(s):  
Bergman Space ◽  
Open Problem ◽  
Lebesgue Space ◽  
Composition Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Carleson Measures ◽  
Doubling Weights ◽  
The Way

AbstractBounded and compact differences of two composition operators acting from the weighted Bergman space $$A^p_\omega $$ A ω p to the Lebesgue space $$L^q_\nu $$ L ν q , where $$0<q<p<\infty $$ 0 < q < p < ∞ and $$\omega $$ ω belongs to the class "Equation missing" of radial weights satisfying two-sided doubling conditions, are characterized. On the way to the proofs a new description of q-Carleson measures for $$A^p_\omega $$ A ω p , with $$p>q$$ p > q and "Equation missing", involving pseudohyperbolic discs is established. This last-mentioned result generalizes the well-known characterization of q-Carleson measures for the classical weighted Bergman space $$A^p_\alpha $$ A α p with $$-1<\alpha <\infty $$ - 1 < α < ∞ to the setting of doubling weights. The case "Equation missing" is also briefly discussed and an open problem concerning this case is posed.

scholarly journals Experimental Evaluation of Shear Behavior of Stone Masonry Wall

Materials ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2313
Author(s):  
Maria Luisa Beconcini ◽  
Pietro Croce ◽  
Paolo Formichi ◽  
Filippo Landi ◽  
Benedetta Puccini
Keyword(s):  
Shear Behavior ◽  
Stone Masonry ◽  
Masonry Walls ◽  
Mechanical Parameters ◽  
In Situ Tests ◽  
Capacity Curves ◽  
Historical Structures ◽  
Definition Of

The evaluation of the shear behavior of masonry walls is a first fundamental step for the assessment of existing masonry structures in seismic zones. However, due to the complexity of modelling experimental behavior and the wide variety of masonry types characterizing historical structures, the definition of masonry’s mechanical behavior is still a critical issue. Since the possibility to perform in situ tests is very limited and often conflicting with the needs of preservation, the characterization of shear masonry behavior is generally based on reference values of mechanical properties provided in modern structural codes for recurrent masonry categories. In the paper, a combined test procedure for the experimental characterization of masonry mechanical parameters and the assessment of the shear behavior of masonry walls is presented together with the experimental results obtained on three stone masonry walls. The procedure consists of a combination of three different in situ tests to be performed on the investigated wall. First, a single flat jack test is executed to derive the normal compressive stress acting on the wall. Then a double flat jack test is carried out to estimate the elastic modulus. Finally, the proposed shear test is performed to derive the capacity curve and to estimate the shear modulus and the shear strength. The first results obtained in the experimental campaign carried out by the authors confirm the capability of the proposed methodology to assess the masonry mechanical parameters, reducing the uncertainty affecting the definition of capacity curves of walls and consequently the evaluation of seismic vulnerability of the investigated buildings.

scholarly journals What is a firm? A reply to Jean-Philippe Robé

2021 ◽  
pp. 1-11
Author(s):  
Simon Deakin ◽  
David Gindis ◽  
Geoffrey M. Hodgson
Keyword(s):  
Theory Of The Firm ◽  
Recent Book ◽  
Everyday Language ◽  
Modern Capitalism ◽  
Legal Foundations ◽  
Common Parlance ◽  
The Law ◽  
Business Entities ◽  
Definition Of ◽  
The Way

Abstract In his recent book on Property, Power and Politics, Jean-Philippe Robé makes a strong case for the need to understand the legal foundations of modern capitalism. He also insists that it is important to distinguish between firms and corporations. We agree. But Robé criticizes our definition of firms in terms of legally recognized capacities on the grounds that it does not take the distinction seriously enough. He argues that firms are not legally recognized as such, as the law only knows corporations. This argument, which is capable of different interpretations, leads to the bizarre result that corporations are not firms. Using etymological and other evidence, we show that firms are treated as legally constituted business entities in both common parlance and legal discourse. The way the law defines firms and corporations, while the product of a discourse which is in many ways distinct from everyday language, has such profound implications for the way firms operate in practice that no institutional theory of the firm worthy of the name can afford to ignore it.

Fundamental relations and identities of fuzzy hyperalgebras

2021 ◽  
pp. 1-10
Author(s):  
Narjes Firouzkouhi ◽  
Abbas Amini ◽  
Chun Cheng ◽  
Mehdi Soleymani ◽  
Bijan Davvaz
Keyword(s):  
Universal Algebra ◽  
Equivalence Relation ◽  
Polynomial Function ◽  
Equivalence Relations ◽  
Fundamental Relation ◽  
Term Function ◽  
Biological Phenomena ◽  
Definition Of

Inspired by fuzzy hyperalgebras and fuzzy polynomial function (term function), some homomorphism properties of fundamental relation on fuzzy hyperalgebras are conveyed. The obtained relations of fuzzy hyperalgebra are utilized for certain applications, i.e., biological phenomena and genetics along with some elucidatory examples presenting various aspects of fuzzy hyperalgebras. Then, by considering the definition of identities (weak and strong) as a class of fuzzy polynomial function, the smallest equivalence relation (fundamental relation) is obtained which is an important tool for fuzzy hyperalgebraic systems. Through the characterization of these equivalence relations of a fuzzy hyperalgebra, we assign the smallest equivalence relation α i 1 i 2 ∗ on a fuzzy hyperalgebra via identities where the factor hyperalgebra is a universal algebra. We extend and improve the identities on fuzzy hyperalgebras and characterize the smallest equivalence relation α J ∗ on the set of strong identities.

Sign in / Sign up

Export Citation Format

Share Document