The solution of the outer multiplicity problem in the tensor product of U(3) irreducible representations (irreps) developed by Biedenharn et al.(1–7) and realized through the well-known Draayer-Akiyama (DA) computer code(8) is extended to the quantum algebra Uq(3). An analytic formula for special stretched Uq(3) Wigner coefficients, $$\left\langle {(\lambda _1 \mu _1 ) H_1 , (\lambda _2 \mu _2 ) \varepsilon _2 \Lambda _2 m_2 \left| { (\lambda _3 \mu _3 ) H_3 } \right.} \right\rangle _{\max }^q $$ is derived using (...) a projection operator method.(9–10) In this expression Hi denotes the highest weight vector of the (λiμi) irrep; the subscript “max” means coefficients corresponding to a unit tensor operator with a maximal characteristic null space; and q is the usual quantum label so the standard U(3) Wigner coefficient, which is required in the DA code, can be obtained in the q→1 limit of the theory. To illustrate the theory, some Uq(3) Wigner coefficients for the tensor product (22)×(22) are calculated. The procedure for evaluating nonhighest weight Wigner Uq(3) coefficients follow the DA prescription. (shrink)

Hegel, Georg Wilhelm Friedrich, 1770-1831, criticism and interpretation; philosophy.

al-Qāḍī Abū Yūsuf -- Abū al-Ḥasan al-Ashʻarī -- al-Qāḍī Abū Bakr al-Bāqillānī -- ʻAbd al-Qāhir al-Baghdādī -- Abū al-Ḥasan al-Māwardī -- Abū Yaʻlá -- Imām al-Ḥaramayn -- al-Ghazzālī -- Ibn Khaldūn -- al-Qalqashandī.

ABSTRACTPrevious studies have identified two powerful ways to regulate emotional responses to a stressor: experiencing incidental positive emotions and using cognitive reappraisal to reframe the stressor. Several cognitive and motivational theories of positive emotion support the formulation that incidental positive emotions may facilitate cognitive reappraisal. To test the separate and interacting effects of positive emotions and cognitive reappraisal, we first adapted an established picture-based reappraisal paradigm by interspersing blocks of positive emotion inducing and neutral pictures. Across two pre-registered studies, reappraisal (...) effectively decreased self-reported negative emotions and increased self-reported positive emotions; however, experiencing incidental positive emotions did not facilitate reappraisal success. In another preregistered study, we employed a more powerful positive emotion induction via virtual reality, used a social stress anticipation task, and... (shrink)

The article discusses how the meaning of the principle of “non-resistance to evil by violence” was changing in L.N. Tolstoy's religious and philosophical teachings and how this principle was evaluated in Russian religious philosophy of the late XIX - early XX century. In the first version of Tolstoy’s teachings, set forth in the book “What is my faith?”, the principle of non-resistance was understood in a moral sense, as the norm for all people; its execution should lead to the perfection (...) of earthly life. This idea of L. Tolstoy was sharply criticised by his contemporaries, who noted that there was no truly religious content in Tolstoy’s teachings, it was turning into a utilitarian doctrine of the earthly progress of mankind. Given this criticism, Tolstoy in his later works changed his understanding of the principle of non-resistance. Drawing a distinction between two levels of human life - “animal” and divine, Tolstoy recognised the principle of non-resistance to the law as the divine life of a man. As a result, the principle of non-resistance has acquired a religious rather than moral meaning, since the transition of a man to a divine life means a mystical transformation of his being. He is aware of his super-spatial and super-temporary unity with all people and with all being, and therefore can evaluate the consequences of his actions not only in the limited sphere of his life, but also in all infinite being. In this regard, a person realizes the absolute superiority of good deeds over evil, even if the latter are committed to confront evil. It is shown that some critics of Tolstoy came to a similar understanding of the religious meaning of the principle of non-resistance at the end of their lives. (shrink)

Building on the long-standing tradition of challenging oppression and questioning whose interests are being served in the field of language education, we report on a study that involved a group of U.S.-based graduate students who collaborated with a ninth-grade English teacher in Nepal. The study comes out of a larger project that sought to internationalize the curriculum of a graduate educational linguistics course at a U.S. university. At the heart of this internationalizing curriculum endeavour was a commitment to expose graduate (...) students in the U.S. to the issues of language teaching outside of the U.S. This was done through co-designing of a unit of lessons, with six graduate students meeting virtually with their teacher partner, Ditya, in Nepal over the course of a semester. The graduate students and Ditya constitute our research participants. The graduate student participants learned about the need to develop pedagogical materials that were relevant to the local context in Nepali classroom, and not attempt to transplant a Western-centric curriculum onto the Nepali classroom. In keeping with recent calls to decolonize higher education, we illustrate how critical theory in general and decolonizing pedagogy in particular can be infused into a U.S. graduate curriculum by drawing on the rich, indigenous knowledge and resources of a teacher collaborator from the Global South. We do this by reporting how this critical, decolonizing goal was realized through collaborative professionalism, which is characterized by the sharing of knowledge, skills, and experience to improve student achievement, reflection, dialogue and collective responsibility. (shrink)

This paper proposes a semantic description of the linear step-like temporal multi-agent logic with the universal modality \(\mathcal{LTK}.sl_U\) based on the idea of non-reflexive non-transitive nature of time. We proved a finite model property and projective unification for this logic.

PURPOSE:To report the localization of a gene causing drusen and macular degeneration in a previously undescribed North American family. METHODS:Genetic mapping studies were performed using linkage analysis in a single family with drusen and atrophic macular degeneration. RESULTS:The clinical manifestations in this family ranged from fine macular drusen in asymptomatic middle-aged individuals to atrophic macular lesions in two children and two elderly patients. We mapped the gene to chromosome 6q14 between markers D6S2258 and D6S1644. CONCLUSIONS:In a family with autosomal dominant (...) drusen and atrophic macular degeneration, the gene maps to a 3.2-cM region on chromosome 6q14. This locus appears to be distinct from, but adjacent to, the loci for cone-rod dystrophy 7 (CORD7) and North Carolina macular dystrophy (MCDR1). Future identification of the gene responsible for the disease in this family will provide a better understanding of macular degeneration. (shrink)

We introduce and discuss a concept of approximation of a topological algebraic system A by finite algebraic systems from a given class K. If A is discrete, this concept agrees with the familiar notion of a local embedding of A in a class K of algebraic systems. One characterization of this concept states that A is locally embedded in K iff it is a subsystem of an ultraproduct of systems from K. In this paper we obtain a similar characterization of (...) approximability of a locally compact system A by systems from K using the language of nonstandard analysis. In the signature of A we introduce positive bounded formulas and their approximations; these are similar to those introduced by Henson [14] for Banach space structures (see also [15, 16]). We prove that a positive bounded formula φ holds in A if and only if all precise enough approximations of φ hold in all precise enough approximations of A. We also prove that a locally compact field cannot be approximated arbitrarily closely by finite (associative) rings (even if the rings are allowed to be non-commutative). Finite approximations of the field R can be considered as possible computer systems for real arithmetic. Thus, our results show that there do not exist arbitrarily accurate computer arithmetics for the reals that are associative rings. (shrink)

The sentiment of responsibility and serving religion -- Striving in God's cause, invitation and guidance -- Representation: the tongue of conduct -- Ukhuwah: brotherhood -- Altrusim and munificence -- Consultation (istisharah) -- Love, passion, and renewing one's self -- Perseverance and determination.

This paper addresses the issues related to designing and estimating the strength of solid-alloy elements in the deforming broaches of significant diameter (exceeding 150 mm) for the developed process of discrete broaching. The tool limit condition was assessed based on two strength criteria: the specific potential energy of shape change and the maximum tangent stresses. Numerical modeling using the finite element method has made it possible to derive the distribution of equivalent stresses in the tool elements and the contact stresses (...) at the surface of the contact between a solid-alloy insert and the body, which enabled the analysis of tool strength under loading. The simulation was performed under a single normal load, which ensured the versatility of the calculation for any contact pressure values. We have derived formulae to calculate the acceptable contact pressure depending on unit load. The effect of the insert protrusion height over the body on the strength of tool elements has been established. We have derived engineering dependences that determine the required magnitude of insert protrusion over the body depending on the ultimate load. An example of calculating the strength of a prefabricated deforming element in the machining of a sleeve made from gray modified cast iron of hardness HB230 has been considered. Our calculations have shown that the deforming element designed for the new technological process corresponds to the conditions of strength, provided the ratio h1/h=0.15 is maintained (where h1 is the insert height above the body, h is the insert height). The results obtained could be used in engineering calculations when designing the prefabricated tool for discrete deformation, as well as to assess the strength of prefabricated tools, such as cutters, core drills, reamers, when refining external loads. (shrink)

Two people may claim both to be naturalists, but have divergent conceptions of basic elements of the natural world which lead them to mean different things when they talk about laws of nature, or states, or the role of mathematics in physics. These disagreements do not much affect the ordinary practice of science which is about small subsystems of the universe, described or explained against a background, idealized to be fixed. But these issues become crucial when we consider including the (...) whole universe within our system, for then there is no fixed background to reference ob- servables to. I argue here that the key issue responsible for divergent versions of naturalism and divergent approaches to cosmology is the conception of time. One version, which I call temporal naturalism, holds that time, in the sense of the succes- sion of present moments, is real, and that laws of nature evolve in that time. This is contrasted with timeless naturalism, which holds that laws are immutable and the present moment and its passage are illusions. I argue that temporal naturalism is em- pirically more adequate than the alternatives, because it offers testable explanations for puzzles its rivals cannot address, and is likely a better basis for solving major puz- zles that presently face cosmology and physics. -/- This essay also addresses the problem of qualia and experience within naturalism and argues that only temporal naturalism can make a place for qualia as intrinsic qualities of matter. (shrink)

I discuss the historical roots of the landscape problem and propose criteria for its successful resolution. This provides a perspective to evaluate the possibility to solve it in several of the speculative cosmological scenarios under study including eternal inflation, cosmological natural selection and cyclic cosmologies.Invited contribution for a special issue of Foundations of Physics titled Forty Years Of String Theory: Reflecting On the Foundations.

Cyclin-dependent kinase 5 has been implicated in Alzheimer's disease pathogenesis. Here, we demonstrate that overexpression of p25, an activator of cdk5, led to increased levels of BACE1 mRNA and protein in vitro and in vivo. A p25/cdk5 responsive region containing multiple sites for signal transducer and activator of transcription was identified in the BACE1 promoter. STAT3 interacts with the BACE1 promoter, and p25-overexpressing mice had elevated levels of pSTAT3 and BACE1, whereas cdk5-deficient mice had reduced levels. Furthermore, mice with a (...) targeted mutation in the STAT3 cdk5 responsive site had lower levels of BACE1. Increased BACE levels in p25 overexpressing mice correlated with enhanced amyloidogenic processing that could be reversed by a cdk5 inhibitor. These data demonstrate a pathway by which p25/cdk5 increases the amyloidogenic processing of APP through STAT3-mediated transcriptional control of BACE1 that could have implications for AD pathogenesis. (shrink)

The ability to represent emotional experiences in a precise fashion with language, termed emotional granularity, is related to a number of beneficial outcomes. However, the emotion granularity construct and operationalization are rooted in the lens of so-called Western, Educated, Industrialized, Rich and Democratic (WEIRD) societies that focus on emotions as a mental-state phenomena. Using evidence from multiple non-WEIRD societies, we illustrate that people's everyday vernacular often emphasizes bodily over, or in addition to, mental states. This suggests that granularity focused only (...) on mental state language may limit our ability to operationalize this construct in a culturally valid manner. To overcome this limitation, we propose capturing “experiential” granularity and a concept model on how it may link to regulation and health. (shrink)