Integral Version Research Articles

FI-modules over Noetherian rings

FI-modules were introduced by the first three authors in [CEF] to encode sequences of representations of symmetric groups. Over a field of characteristic 0, finite generation of an FI-module implies representation stability for the corresponding sequence of S_n-representations. In this paper we prove the Noetherian property for FI-modules over arbitrary Noetherian rings: any sub-FI-module of a finitely generated FI-module is finitely generated. This lets us extend many of the results of [CEF] to representations in positive characteristic, and even to integral coefficients. We focus on three major applications of the main theorem: on the integral and mod p cohomology of configuration spaces; on diagonal coinvariant algebras in positive characteristic; and on an integral version of Putman's central stability for homology of congruence subgroups.

Sharp existence criteria for positive solutions of Hardy--Sobolev type systems

This paper examines systems of poly-harmonic equations of the Hardy--Sobolev type and the closely related weighted systems of integral equations involving Riesz potentials. Namely, it is shown that the two systems are equivalent under some appropriate conditions. Then a sharp criterion for the existence and non-existence of positive solutions is determined for both differential and integral versions of a Hardy--Sobolev type system with variable coefficients. In the constant coefficient case, Liouville type theorems for positive radial solutions are also established using radial decay estimates and Pohozaev type identities in integral form.

Women in Philosophy: Problems with the Discrimination Hypothesis

A number of philosophers attribute the underrepresentation of women in philosophy largely to bias against women or some kind of wrongful discrimination. They cite six sources of evidence to support their contention: (1) gender disparities that increase along the path from undergraduate student to full-time faculty member; (2) anecdotal accounts of discrimination in philosophy; (3) research on gender bias in the evaluation of manuscripts, grants, and curricula vitae in other academic disciplines; (4) psychological research on implicit bias; (5) psychological research on stereotype threat; and (6) the relatively small number of articles written from a feminist perspective in leading philosophy journals. (Due to space limitations in the print version of the article, sections (3), (4), and (5) are omitted here. The full version is available at www.nas.org/articles/women_in_philosophy_ problems_with_the_discrimination_hypothesis. We urge the interested reader to take a look at the integral version, because the missing sections constitute a very important part of our argument.) In each case, we find that proponents of the discrimination hypothesis, who include distinguished philosophers in fields such as philosophy of science, metaphysics, and philosophy of language, have tended to present evidence selectively. Occasionally they have even presented as evidence what appears to be something more dubious—for example, studies supporting the Acad. Quest. (2014) 27:461–473 DOI 10.1007/s12129-014-9464-x

Jain-Baskakov Operators and its Different Generalization

The aim of this work is to introduce a new sequence of positive linear operators, which is an integral version of Jain operators. We studied some direct results in ordinary approximation. Weighted approximation, rate of convergence, and A-statistical convergence are investigated. Also, we discussed approximation properties of King-type and Stancu-type generalization of these new sequences of linear positive operators and investigated a modification of Jain-Baskakov operators with parameter c. At the end, we propose a q-analogue of Jain operators based on a q-integer.

The pKatheoretical estimation of C―H, N―H, O―H and S―H acids in dimethylsulfoxide solution

A scheme for the pKa estimation of organic acids in dimethylsulfoxide (DMSO) solution based on quantum chemical calculations is proposed. The procedure of pKa calculation requires several steps. The first is the calculation of the gas phase acidity of the compound. The G3MP2B3, G4MP2 as well as CBS-QB3 composite methods made it possible to estimate values of gas phase acidities of an extensive set of structures with a high confidence level (standard deviations equal to 1.15, 1.13 and 1.29 kcal mol−1, respectively; the test set included 91 compounds). The second step is the computation of the solvation correction with the integral equation formalism version of polarizable continuum model (IEF-PCM)–B3LYP/6-311+G(d,p) approximation. Within the bounds of our approach, the medium properties were covered only by the PCM model, i.e. the proposed procedure neglects specific interactions between DMSO and the solute. It was determined that the approach to pKa estimation mentioned above is the most balanced in terms of accuracy, resource intensity and computation time cost. In the third step, the error of the pKa calculation was decreased by correlation allowances. Correlation allowances were determined for each acid class (62 С―Н, 55 N―Н, 24 O―Н and 5 S―Н acids) in the range of 50 units in terms of logarithmic scale using the test set including 146 compounds. Seven O―H acids showing the ability to form cyclic dimers were separated into a discrete group. The proposed methodology was applied to the estimation of pKa for trans- and cis-dimethyl-4,5-dihydro-3H-pyrazol-3,5-dicarboxylates as well as for 5-fluorouracil subject to competitive dissociation, the latter by N1―H or N3―H bonds. Copyright © 2014 John Wiley & Sons, Ltd.

Transforming education through art-centred integrated learning

Abstract Art-centred integrated learning is a version of art integration that uses art enquiry processes to promote deep and holistic understanding of concepts and ideas that matter to our students while fostering their abilities to handle complexity and think flexibly, capacities they will need in order to prosper in a complex and uncertain world and become leaders in shaping that world. To meet these needs of their students, the Alameda County Office of Education in Northern California has adopted Integrated Learning, an approach to education that promotes integrative thinking and integrated knowledge through art-centred learning. Because Integrated Learning presents solutions for education across the board, it provides a model that leaders in general education could consider when formulating pedagogy. And since this model draws from contemporary art practices, it provides both education in the arts and a strong rationale that art education leaders can use to argue for a robust presence of the arts in education. Moreover, the Integrated Learning approach delineates a set of principles and practices that are germane to creative leadership and could be integrated into leadership education.

A driven similarity renormalization group approach to quantum many-body problems.

Applications of the similarity renormalization group (SRG) approach [F. Wegner, Ann. Phys. 506, 77 (1994) and S. D. Głazek and K. G. Wilson, Phys. Rev. D 49, 4214 (1994)] to the formulation of useful many-body theories of electron correlation are considered. In addition to presenting a production-level implementation of the SRG based on a single-reference formalism, a novel integral version of the SRG is reported, in which the flow of the Hamiltonian is driven by a source operator. It is shown that this driven SRG (DSRG) produces a Hamiltonian flow that is analogous to that of the SRG. Compared to the SRG, which requires propagating a set of ordinary differential equations, the DSRG is computationally advantageous since it consists of a set of polynomial equations. The equilibrium distances, harmonic vibrational frequencies, and vibrational anharmonicities of a series of diatomic molecules computed with the SRG and DSRG approximated with one- and two-body normal ordered operators are in good agreement with benchmark values from coupled cluster with singles, doubles, and perturbative triples. Particularly surprising results are found when the SRG and DSRG methods are applied to C2 and F2. In the former case, both methods fail to converge, while in the latter case an unbound potential energy curve is obtained. A modified commutator approximation is shown to correct these problems in the case of the DSRG method.

Wavelet-Based Semiparametric Estimation of Ocean Surface Temperature

Fractional-order pseudodifferential equations are considered to represent ocean climate variability when anomalous diffusion processes affect heat transfer in ocean surface. The driven process of these equations is assumed to be a regular spatiotemporal Gaussian random field representing normal conditions in the ocean. Linear regression in the log-wavelet domain is applied for the estimation of the parameters characterizing the pseudodifferential equation defining the anomalous diffusion process. The non-parametric framework is adopted in the estimation of the probability distribution of the driven spatiotemporal random field. Finally, ocean surface temperature values are approximated by plug-in least-square estimation from the computed parameter estimates, the estimated distribution of the driven process, and the integral version of the fractional-order pseudodifferential equation. The ability of the approach presented to process strong spatial-correlated ocean surface temperature curve data is illustrated with a real-data example, where sample information from weather stations in Hawaii ocean is analyzed.

EDITING <i>LOS SIRGUEROS</i>: FOUR CENTURIES OF OBLIVION

Since 1620 when Los Sirgueros de la Virgen was printed by the Mexican editor Juan Alcazar, the book had remained unpublished in its integral version until the edition released in late 2013. In 1944 Agustín Yáñez presses an incomplete version of the novel which has been the main transmission channel of the work so far. The following article will focus on Yáñez’s silences and omissions.

Irreducible factors of modular representations of mapping class groups arising in Integral TQFT

We find decomposition series of length at most two for modular representations in positive characteristic of mapping class groups of surfaces induced by an integral version of the Witten–Reshetikhin–Turaev SO(3)-TQFT at the p -th root of unity, where p is an odd prime. The dimensions of the irreducible factors are given by Verlinde-type formulas.

Interval vortex methods

By means of the integral version of vortex equation, the technique of Green's function, and the vorticity‐to‐velocity map, a new kind of interval methods for solving the initial‐periodic boundary value problem of two‐dimensional incompressible Navier–Stokes equation is introduced, which consists of both an approximate scheme and a set of pointwise intervals covering the exact solution. The convergence theorem corresponding to the scheme is proved, and the order of error width for the two‐sided bounds is also considered. Finally, a simple numerical example illustrates our corroboration. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1368–1396, 2014

Purely geometric path integral for spin-foams

Spin-foams are a proposal for defining the dynamics of loop quantum gravity via path integral. In order for a path integral to be at least formally equivalent to the corresponding canonical quantization, at each point in the space of histories it is important that the integrand have not only the correct phase—a topic of recent focus in spin-foams—but also the correct modulus, usually referred to as the measure factor. The correct measure factor descends from the Liouville measure on the reduced phase space, and its calculation is a task of canonical analysis. The covariant formulation of gravity from which spin-foams are derived is the Plebanski–Holst formulation, in which the basic variables are a Lorentz connection and a Lorentz-algebra valued 2-form, called the Plebanski 2-form. However, in the final spin-foam sum, one usually sums over only spins and intertwiners, which label eigenstates of the Plebanski 2-form alone. The spin-foam sum is therefore a discretized version of a Plebanski–Holst path integral in which only the Plebanski 2-form appears, and in which the connection degrees of freedom have been integrated out. We call this a purely geometric Plebanski–Holst path integral. In prior work in which one of the authors was involved, the measure factor for the Plebanski–Holst path integral with both connection and 2-form variables was calculated. Before one discretizes this measure and incorporates it into a spin-foam sum, however, one must integrate out the connection in order to obtain the purely geometric version of the path integral. To calculate this purely geometric path integral is the principal task of the present paper, and it is done in two independent ways. Background independence of the resulting path integral is discussed in the final section, and gauge-fixing is discussed in appendix B.

DSM-5 and old age psychiatry

The fifth version of the Diagnostic and statistical manual of mental disorders (DSM -5) was released in May 2013 after 14 years of development. Originally announced as an integrative version of the latest data in neuroscience, this manual should be more based on pathophysiology than the previous versions. Mixed dimensional and categorical mental disorder approach would also take the place of categorical approach which was considered obsolete. Before its release, the DSM-5 proposed revision has been criticized from many psychiatrists across the world. Some felt that paradigm change towards a dimensional approach turned out to be too complex and inadapted for practice. Others pointed out that DSM-5 tended to turn any behavior that deviates from normality into psychiatric diagnoses and thus make everybody ill. Previous DSM versions had left little space for elderly psychiatry. Indeed, few topics took into account clinical characteristics of mental disorders in the elderly. This review provides an overview of the changes in the DSM-in the field of old age psychiatry. We try to identify the DSM-5 key points for clinical practice and elderly psychiatric care. Various past and recent controversies that have been issued on this new DSM version will also be discussed.

Quantum monte carlo methods for constrained systems

The torsional ground state for ethane, the torsional, rotational, and mixed torsional and rotational ground state of propane are computed with a version of diffusion Monte Carlo adapted to handle the geometric complexity of curved spaces such as the Ramachandra space. The quantum NVT ensemble average for the mixed torsional and rotational degrees of freedom of propane is computed, using a version of Monte Carlo path integral, also adapted to handle curved spaces. These three problems are selected to demonstrate the generality and the applicability of the approaches described. The spaces of coordinates can be best constructed from the parameters of continuous Lie groups, and alternative methods based on vector spaces, where extended Lagrangian terms would be too cumbersome to implement. We note that the geometric coupling between the torsions and the rotations of propane produces a substantial effect on the ground state energy of propane, and that the quantum effects on the energy of propane are quite large even well above room temperature. © 2014 Wiley Periodicals, Inc.

Transatlantic convergence? The archaeology of immigrant integration in Canada and Europe

At first glance, Canada and Europe seem to be diverging dramatically in their approach to immigrant integration. While support for a multicultural approach seems to remain strong in Canada, a potent backlash pervades European debates. This paper argues that beneath the image of transatlantic divergence, there are important elements of convergence. First, the retreat from multiculturalism in Europe is more complete at the level of discourse than policy. With a few notable exceptions, multicultural policies have remained stable or even grown stronger since 2000. In many countries, new integration programs are being layered over multicultural initiatives introduced in earlier decades. Second, many of the new integration policies celebrated as evidence of a U-turn away from multiculturalism resemble programs that have long been part of immigrant integration in Canada. As a result, transatlantic convergence is indeed part of the contemporary story. However, there are also limits to this convergence. While some European countries are opting for liberal, voluntary approaches to integration, which can be combined with a multicultural approach to diversity, others are adopting more obligatory, illiberal versions of civic integration that seem inconsistent with the support for diversity central to a multicultural approach.

O kontekstach kulturowych polskich przekładów powieści Les Misérables Wiktora Hugo (publikowanych w latach 1862‑2012)

The Cultural Contexts of the Polish Translations of V. Hugo’s Novel Les Misérables (Published in the Years 1862‑2012) The article discussed both extra– and intra‑textual cultural contexts of translation. Very important extra‑textual cultural context for Polish translations of V. Hugo’s Les Misérables has to do with the the way they have been published and whom for: initially in the press, then in a paper book as complete versions or truncated ones, as a paraphrase, finally, since 2000, as well as e‑books and audio‑books; for simple or rather intellectual readers. Recreating the chronology of series of published translations since the first one in 1862, we can observe the primary role of publishers and editors in relation to translators, the more they were among them well‑known writers – J.I. Kraszewski (publisher) and J. Iwaszkiewicz (editor). The first translation was collective, because of the publishing cycle serialized in press and the length of the original. But the names of translators were given, including in the first book released. In the next editions often the names of translators were omitted and sometimes the published text was a compilation of several translations. So first the translation of E. Sulicki and F. Faleński, the one by W. Limanowska coexist in 2000th years with the new one of K. Byczewska, first time published in 1956 in the PIW. Then we try to perceive the cultural intra‑textual contexts by analyzing how many culturally significant elements of the original have been translated in diachronico‑synchronic series of Polish translations. This analysis seems to confirm that the type of publishers has a major impact on cohesion (integral or abridged version), semantic and linguistic quality of those translations. The sign of intersection of extra- and intra‑textual factors is undoubtedly censorship interference in translations, at first with a predominance of the socio‑political one, until, in the Iskry edition of 1954, in which there is a noticeable censorship of the author’s convictions including religious and moral ones.

A Semi-Analytical Solution to Milne Problem in the Case of Multiple Synthetic Scattering

The Milne problem is studied for the case of one speed, time independent, plane symmetric transport equation. The scattering law is assumed isotropic plus a backward and forward leak. First of all, the solution for the angular intensity relevant to the assumed scattering law is expressed in terms of the solution of the transport equation with isotropic scattering. The integral version of the isotropic like transport equation is then solved using a suitable set of trial functions. The unknown expansion coefficients in the trial functions are shown to be solutions of a system of linear algebraic equations. Numerical results are listed and compared with the existing results.

Audio recordings of hymns from the Octoechos as written down by Stevan Stojanović Mokranjac

This paper presents three different audio recordings of hymns from the Octoechos as written down by Stevan Stojanović Mokranjac (1856-1914). The recordings were made in a studio. Two of the recordings feature selections of hymns by the performers, while the third recording contains an integral version of the collection.

‘Some People It's Very Difficult to Trust’: Attributions of Agency and Accountability in Practitioners' Talk About Integration

ABSTRACTThe concept of ‘integration’ plays an important role in policy and practice regarding the settlement of migrants, yet the term is used in a variety of ways. This article examines how practitioners who support the integration of refugees in Scotland construct ‘integration’ at the community level to justify or challenge particular policies and sets of social relations. Analysis shows that integration can be worked up in contexts involving (i) descriptions of ‘us’ and ‘them’ in relation to a single community, (ii) social inclusion of those in multiple communities, or (iii) group level intercultural contact. Each version of integration is bound up with different attributions of agency for advancing integration and attributions of blame for current problems. Instead of relying upon a concept that is so open to multiple uses, local organizations might usefully specify outcomes in terms of social actors and interactions. Copyright © 2013 John Wiley & Sons, Ltd.

Monotonicity of certain integrals involving gamma distributions and their applications in multiple comparisons

Barlow and Gupta (1969) and Alam (1970) studied the monotonicity of two integrals, involving gamma distributions, that arise in certain ranking and selection problems. In this paper, we shall unify their results by studying the monotonicity of two generalized versions of integrals considered by them. We will also provide applications of derived results in study of certain multiple comparison procedures.