109 research outputs found
Sheffer Stroke Operation on L-Algebras via an Algorithmic Approach
No full textIn this study, we introduce the Sheffer stroke L-algebra and prove some fundamental theorems, propositions and lemmas of Sheffer Stroke L-algebras. The notions of filter and ultrafilter for Sheffer stroke L-algebra are studied. We give subalgebra and normal subset definitions of a Sheffer stroke L-algebras. Moreover, a homomorphism between Sheffer stroke L-algebras is introduced and isomorphism theorems are presented. Finally, we give three new algorithms for Sheffer stroke L-algebras. Thus, it is contributed to researchers on different application areas by presenting an algorithmic approach on this subject, for the first time in the literature. © The Author(s) 2024
Fuzzy Ideals of Sheffer Stroke Hilbert Algebras
No full textIn this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T-fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T-fuzzy ideal) is a T-fuzzy subalgebra but the converse does not generally hold. As in T-fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T-fuzzy ideals are proved. © 2022, The Author(s), under exclusive licence to The National Academy of Sciences, India.The authors are thankful to the referees for a careful reading of the paper and for valuable comments and suggestions
Derivative formulas related to unification of generating functions for Sheffer type sequences
No full textInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 13-18, 2018 -- Rhodes, GREECEKUCUKOGLU, IREM/0000-0001-9100-2252The main aim of this paper is to present partial derivative formulas for an unification, which was introduced by the author in "Unification of the generating functions for Sheffer type sequences and their applications, preprint", of Sheffer type sequences including the Peters polynomials, the Boole polynomials, the Changhee polynomials, the Simsek polynomials and the Korobov polynomials of the first kind. By making use of these derivative formulas, we provide a recurrence relation and a derivative formula for this unification. Furthermore, by using recurrence relation for this unification, we present miscellaneous special cases of this unification. Finally, we give some derivative formulas related to the well-known Sheffer type sequences such us the Peters polynomials and the Simsek polynomials.European Soc Computat Methods Sci & Eng
Reseña de: Edith Sheffer. Los niños de Asperger. El exterminador nazi detrás del recono-cido pediatra. México: Planeta, 2019, 335 p.
No full textThis review discusses Edith Sheffer’s work on Hans Asperger and his involvement in the Nazi child euthanasia program. The book argues that the diagnosis of autistic psychopathy emerged from an ideological context in which social belonging was medicalized and those not aligned with Nazi ideals were eliminated. Drawing from clinical records, letters, and historical sources, Sheffer reconstructs the lives of children exterminated at the Spiegelgrund Hospital. The author introduces the concept of a “diagnostic regime” to describe the biopolitical role of the Nazi health system. The study challenges the benevolent image of Asperger and frames autism as a construct shaped by the values of the Third ReichLa reseña examina la obra de Edith Sheffer sobre Hans Asperger y su participación en el programa de eutanasia infantil del régimen nazi. El libro argumenta que el diagnóstico de psicopatía autista surgió en un contexto ideológico donde se medicalizaba la pertenencia social y se eliminaba a quienes no encajaban con los ideales del régimen. A partir de documentación clínica, correspondencia y fuentes históricas, Sheffer reconstruye las vidas de los niños exterminados en el Hospital de Spiegelgrund. La autora propone el concepto de “régimen de diagnóstico” para describir la función biopolítica del aparato sanitario nazi. La investigación desmitifica la figura de Asperger y sitúa el autismo como construcción influida por los valores del Tercer ReichUniversidad Nacional Autónoma de México. Instituto de Investigaciones Histórica
Death due to asthma
No full textABSTRACTThe prevalence and fatality rate of asthma have increased worldwide. Underdiagnosis and undertreatment of asthma are central to the occurrence of fatal asthma. Atopy is the principal risk factor associated with asthma. However, consideration of the epidemiologic, physiologic, pharmacologic, pathologic and clinical parameters of asthma assessment may provide valuable insight into death due to asthma. Psychologic and socioeconomic factors may further aggravate the asthma status. Ethnic minorities are at increased risk of asthma. The perception of dyspnea may be blunted in asthma sufferers. Slow-onset fatal asthma may be associated with submucosal eosinophilic, whereas sudden-onset may be associated with submucosal neutrophilia. Fatal asthma occurs in patients abusing regular |32-agonist therapy. Peak flow assessment often provides insight into asthma deterioration prior to signs of respiratory distress. Markers of risk of death due to asthma further identify the fatality-prone asthma patient
Acquired C1-inhibitor deficiency asociated with antiidiotypic antibody to monoclonal immunoglobulins
No full textThe syndrome of acquired angioedema and C1-inhibitor deficiency is associated with B-cell lymphoproliferative disease. It is characterized by accelerated consumption of C1q and C1 inhibitor in vivo and by low levels of serum C2 and C4. Four patients with B-cell malignant diseases (IgA myeloma, macroglobulinemia, chronic lymphocytic leukemia, and B-cell lymphoma, respectively) and acquired C1-inhibitor deficiency were found to have circulating antiidiotypic antibodies to the monoclonal immunoglobulin expressed on the surface of their B cells (three patients) or in the cytoplasm of their bone-marrow cells (one patient). Two of the four patients had circulating M components, and their antiidiotypic antibodies reacted with the M components. In three patients studied the percentage of B cells bearing C1q was 18, 24, and 35 per cent, as compared with 2.3 +/- 1.7 per cent (mean +/- S.D.) in six normal controls. These results suggest that an interaction between the idiotype of monoclonal immunoglobulins and antiidiotypic antibodies causes increased consumption of C1q and C1 inhibitor in patients with acquired angioedema and C1-inhibitor deficiency. We propose that the subsequent activation of the early components of complement leads to increased vascular permeability and to angioedema and that these patients have a disease caused by antiidiotypic antibodies
Lower bounds for incidences with hypersurfaces
No full textLower bounds for incidences with hypersurfaces, Discrete Analysis 2016:16, 14pp.
A fundamental result in combinatorial geometry, the Szemerédi-Trotter theorem, states that among any points and lines in there can be at most incidences, where an incidence is a pair that consists of one of the points and one of the lines with the point contained in the line. Simple examples show that this result is best possible. (The interesting case is when and are of roughly comparable size: the terms and in the bound are there to deal with the case when is much bigger than or is much bigger than , when trivial examples are best.)
The Szemerédi-Trotter theorem has been generalized in various ways. To begin with, it holds not just for incidences between points and lines, but also for incidences between points and _pseudolines_: if we define a pseudoline system to be a set of curves in the plane such that no two of them intersect in more than a point, then we can replace "line" by "pseudoline" in the Szemerédi-Trotter theorem, and several of its proofs are almost unaffected.
It is also possible to relax the condition on pseudolines and merely to insist that any two curves intersect in at most points for some fixed : this introduces an extra constant factor into the bound. In particular, this implies that, under appropriate conditions, the Szemerédi-Trotter theorem holds for incidences between points and algebraic curves of bounded degree.
Another direction of generalization is to higher dimensions: for example, one can consider incidences between points and hyperplanes in . Considering the case of planes in , one sees that for an interesting result some kind of non-degeneracy condition is needed, since otherwise one can take a collection of planes that all meet in a line and a collection of points that all lie in that line. The obvious condition is that any three planes from the set meet in at most one point, or for general that any of the hyperplanes meet in at most one point.
Again, we can consider not just affine subspaces. One quite general result, due to Fox, Pach, Sheffer, Suk and Zahl, states that if is a set of points in and is a set of varieties in of dimension at most , and if the incidence graph of points and varieties (defined in an obvious way) contains no copy of the complete bipartite graph -- or equivalently any of the varieties intersect in at most points -- then the number of incidences is at most
for a constant that depends on and only.
The purpose of this paper is to find matching lower bounds for this result and other results of a similar kind, at least in certain situations. In particular, for every the author finds a collection of points and hyperplanes such that the incidence graph contains no copy of and the number of incidences is at least . Here, is in the range for which the dominant term in the upper bound above is the first one, so this construction shows that up to the in the exponent that result is best possible.
Such matching bounds are not very common in the area, and there are still plenty of open problems. For instance, the dependence on is not very well understood: it is conjectured that when there are at least as many points as curves, increasing should not have an effect on the exponent (so the fact that it does in the upper bound stated above would be an artefact of the proof rather than reflecting what is actually going on). [This blog post by the author](https://adamsheffer.wordpress.com/2014/11/25/incidences-lower-bounds-part-5/) discusses an example with that gives a larger exponent than the Szemerédi-Trotter bound for , but nothing better is known when .
[Another blog post of the author](https://adamsheffer.wordpress.com/2016/01/22/incidences-outside-of-discrete-geometry/) discusses applications of incidence problems to several other areas, including harmonic analysis, theoretical computer science, and number theory
Some Identities of the Degenerate Higher Order Derangement Polynomials and Numbers
No full textRecently, Kim-Kim (J. Math. Anal. Appl. (2021), Vol. 493(1), 124521) introduced the λ-Sheffer sequence and the degenerate Sheffer sequence. In addition, Kim et al. (arXiv:2011.08535v1 17 November 2020) studied the degenerate derangement polynomials and numbers, and investigated some properties of those polynomials without using degenerate umbral calculus. In this paper, the y the degenerate derangement polynomials of order s (s∈N) and give a combinatorial meaning about higher order derangement numbers. In addition, the author gives some interesting identities related to the degenerate derangement polynomials of order s and special polynomials and numbers by using degenerate Sheffer sequences, and at the same time derive the inversion formulas of these identities
Invisible Wounds: Mental Illness and Civil War Soldiers
No full textAuthor Dillon J. Carroll “combines medical history, social history, military history, and institutional history” to examine how the Civil War affected soldiers’ mental health and how soldiers coped with their trauma
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