scholarly journals A Class of Three-Qubit Contextual Configurations Located in Fano Pentads

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1524
Author(s):  
Metod Saniga

Given the symplectic polar space of type W(5,2), let us call a set of five Fano planes sharing pairwise a single point a Fano pentad. Once 63 points of W(5,2) are appropriately labeled by 63 non-trivial three-qubit observables, any such Fano pentad gives rise to a quantum contextual set known as a Mermin pentagram. Here, it is shown that a Fano pentad also hosts another, closely related, contextual set, which features 25 observables and 30 three-element contexts. Out of 25 observables, ten are such that each of them is on six contexts, while each of the remaining 15 observables belongs to two contexts only. Making use of the recent classification of Mermin pentagrams (Saniga et al., Symmetry 12 (2020) 534), it was found that 12,096 such contextual sets comprise 47 distinct types, falling into eight families according to the number (3,5,7,…,17) of negative contexts.

2021 ◽  
Vol 4 (Supplement_1) ◽  
pp. 14-15
Author(s):  
B Moreau ◽  
E Robidoux

Abstract Background A recent classification of high and low risk alleles associated with celiac disease (CD) shows that the presence of a single allele (DQA1*05 or DQB1*02; coding together for HLA-DQ2), without a positive genotype (HLA-DQ2 and or HLA-DQ8), represents a risk of developing the disease. Aims The aim of this study is to evaluate the use and interpretation of the HLA-DQ2/DQ8 genotyping by pediatric gastroenterologists, as there is no study on the matter and the latest guidelines do not address this risk classification. Methods A web-based survey was sent by email to all NASPGHAN (North American society of pediatric gastroenterolgy, hepatology and nutrition) members. Results Results 294 pediatric gastroenterologists sent a complete survey. 86,1% use the HLA-DQ2/DQ8 genotyping according mainly to the NASPGHAN and ESPGHAN guidelines. The main indications considered were to exclude CD in a patient on a gluten-free diet with a resolution of his symptoms and in a seronegative patient with equivocal biopsies. A minority would consider the genotyping for screening high risk groups or for making a diagnosis in children with high specific CD antibodies and strong clinical suspicion without performing biopsies, as suggested by the ESPGHAN guidelines. The alleles associated with CD are not well known, but 76,7% the participants are aware of the risk classification. While only 62,8% have access to the complete genotype, 47,8% consider it useful. Nevertheless, 82,6% would still want to know the presence of a low risk allele. Conclusions The risk classification of alleles related to CD warrants a modification of the genotyping result with access to the alleles and an adaptation of the guidelines. Funding Agencies None


Author(s):  
Maria Chikarkova ◽  

Although graffiti is a well-known phenomenon of street art, there is still no single point of view on this phenomenon (even if it is considered art at all). Both the essence and the manifestations of graffiti remain a matter of debate - there are dozens of different classifications, that they are based on different characteristics. However, the phenomenon has rarely attracted attention from the point of view of semiotics, though it is the semiotic reading of graffiti that makes it possible to understand its nature more deeply. Due to semiotics we could create an integrative classification, which would combine stylistics and subject matter into one system. The article made exactly such an attempt –providing of the semiotic classification of graffiti, based on Ch. Peirce’s classification of semiotic signs. Graffiti is a sign, because it has a material shell of the latter, a marked object and rules of interpretation. It functions within the subculture and signifies the individual's desire to escape from the deterministic nature of urban life (J. Baudrillard). It is a culture of the semiosphere, which continuously gives rise to new connotations and, accordingly, generates new receptions. An important component of graffiti interpretation is the cultural code; it is not read outside the field of conventionality, cultural context. Decoding of graffiti can occur in three ways. From our point of view, it is appropriate to use S. Hall’sclassification. He suggested a scheme for "decrypting" messages in the media, however, in our opinion, his scheme works for any communicative act (including graffiti). He distinguished dominant ("dominant-hegemonic"), oppositional ("oppositional") and negotiated ("negotiated") decoding. In the graffiti situation, oppositional decoding prevails among ordinary recipients (passers-by). U. Eco called this type aberrant, because it provides "decryption" of text with a different code than the one it was created for. Authors of graffiti themselves are often not fully aware of what they createalso. Modern writers use techniques of op-art, Dadaism, surrealism, etc., without being very oriented in all these directions. When graffiti combines different types of art (for example, the combination of painting with literature), it takes into account the features of inter-semiotic translation, which makes the decoding situation even more complicated. We offercreating a semioticclassificationofgraffiti, that might be based on Ch. Peirce’s classification of semiotic signs, whichdistinguishthesigns-copies, signs-indexes, signs-symbols. It could help the essence of graffiti and decode them.


2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Fahd Al Sufiani ◽  
Lee Cyn Ang

Pathologic findings in surgical resections from patients with temporal lobe epilepsy include a wide range of diagnostic possibilities that can be categorized into different groups on the basis of etiology. This paper outlines the various pathologic entities described in temporal lobe epilepsy, including some newly recognized epilepsy-associated tumors, and briefly touch on the recent classification of focal cortical dysplasia. This classification takes into account coexistent pathologic lesions in focal cortical dysplasia.


2021 ◽  
Vol 46 (4) ◽  
pp. 891-915
Author(s):  
Susan Fawcett ◽  
Alan R. Smith ◽  
Michael Sundue ◽  
J. Gordon Burleigh ◽  
Emily B. Sessa ◽  
...  

Abstract— The generic classification of the Thelypteridaceae has been the subject of much controversy. Proposed taxonomic systems have varied from recognizing the approximately 1200 species in the family within the single genus Thelypteris, to systems favoring upwards of 30 genera. Insights on intrafamilial relationships, especially for neotropical taxa, have been gained from recent phylogenetic studies; however, in the most recent classification, 10 of 30 recognized genera are either non-monophyletic or untested. We sequenced 407 nuclear loci for 621 samples, representing all recognized genera and approximately half the known species diversity. These were analyzed using both maximum likelihood analysis of a concatenated matrix and multi-species coalescent methods. Our phylogenomic results, informed by recently published morphological evidence, provide the foundation for a generic classification which recircumscribed 14 genera and recognized seven new genera. The 37 monophyletic genera sampled demonstrate greater geographic coherence than previous taxonomic concepts suggested. Additionally, our results demonstrate that certain morphological characters, such as frond division, are evolutionarily labile and are thus inadequate for defining genera.


1992 ◽  
Vol 06 (13) ◽  
pp. 773-784 ◽  
Author(s):  
R. HILFER

The recent classification theory for phase transitions (R. Hilfer, Physica Scripta 44, 321 (1991)) and its relation with the foundations of statistical physics is reviewed. First it is outlined how Ehrenfests classification scheme can be generalized into a general thermodynamic classification theory for phase transitions. The classification theory implies scaling and multiscaling thereby eliminating the need to postulate the scaling hypothesis as a fourth law of thermodynamics. The new classification has also led to the discovery and distinction of nonequilibrium transitions within equilibrium statistical physics. Nonequilibrium phase transitions are distinguished from equilibrium transitions by orders less than unity and by the fact that equilibrium thermodynamics and statistical mechanics become inapplicable at the critical point. The latter fact requires a change in the Gibbs assumption underlying the canonical and grandcanonical ensembles in order to recover the thermodynamic description in the critical limit.


1997 ◽  
Vol 3 (S2) ◽  
pp. 865-866
Author(s):  
F. Delaglio ◽  
L.H. Kidder ◽  
I.W. Levin ◽  
E.N. Lewis

Vibrational spectroscopic imaging has already demonstrated enormous potential for studying a variety of chemical and biological systems at both the microscopic and macroscopic level. However, these spectral images are large and complicated, typically consisting of tens of thousands of pixels, each with an associated high-resolution vibrational spectrum, leading to data sizes upwards of 64 megabytes. In order to realize the full potential of these spectral images, we must find ways to query the data so that specific questions can be answered.We illustrate a multivariate approach to this challenge, where each pixel is considered to be a single point in a multivariate (N-dimensional) space. The variables (coordinates) of the point in N dimensions are simply the intensities of the N-point spectrum associated with the pixel. In this representation, pixels with similar spectra will tend to cluster together in the multivariate space, since they will have similar coordinates.


Nature ◽  
1890 ◽  
Vol 42 (1093) ◽  
pp. 567-568
Author(s):  
R. W. SHUFELDT

2018 ◽  
Vol 34 ◽  
pp. 71-114
Author(s):  
Clément De Seguins Pazzis

Let U and V be finite-dimensional vector spaces over a field K, and S be a linear subspace of the space L(U, V ) of all linear operators from U to V. A map F : S → V is called range-compatible when F(s) ∈ Im s for all s ∈ S. Previous work has classified all the range-compatible group homomorphisms provided that codimL(U,V )S ≤ 2 dim V − 3, except in the special case when K has only two elements and codimL(U,V )S = 2 dim V − 3. This article gives a thorough treatment of that special case. The results are partly based upon the recent classification of vector spaces of matrices with rank at most 2 over F2. As an application, the 2-dimensional non-reflexive operator spaces are classified over any field, and so do the affine subspaces of Mn,p(K) with lower-rank at least 2 and codimension 3.


Author(s):  
Mohamed Shainee ◽  
Bernt J. Leira ◽  
Harald Ellingsen ◽  
Arne Fredheim

There is an overwhelming support to move aquaculture cages into offshore waters. Some of the key drivers for moving into offshore waters are limitation of available space near the coast, conflicts within as well as other coastal users, prospect of limitless expansion in offshore sites, the potential for optimum growth conditions and the need to reduce the production cost by increasing the scale of operation. Therefore, by using a set of requirements derived earlier by the authors, the paper looks into the current offshore cage designing concepts in order to propose an optimum design concept for offshore aquaculture. With the help of an expert panel, representing various disciplines which are important for fish farm development, the assessment point towards a single point mooring cage concept as the best option for offshore aquaculture farming. This concept is demonstrated by the use of simple geometric relations and graphs, showing the relation between the total horizontal forces, FH, vertical force component, FV, as the cage submerge. While the contribution from the current, FHC, to the total horizontal force, FH, is kept constant, the contribution from the waves to the total horizontal force, FH, (as assumed to be 33%) is subjected to a reduction proportional to the factor e2kz, representing the reduction in water particle velocity as a function of depth. Further, in light of the requirements derived through the major stakeholders, this paper also propose an alternative classification of cages into two major categories, i.e. systems that are intended to resist and dissipate environmental forces and system that are designed to avoid environmental forces.


Taxon ◽  
1988 ◽  
Vol 37 (4) ◽  
pp. 834-837 ◽  
Author(s):  
Juan B. Martínez‐Laborde

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