Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings

We solve two inverse spectral problems for star graphs of Stieltjes strings with Dirichlet and Neumann boundary conditions, respectively, at a selected vertex called root. The root is either the central vertex or, in the more challenging problem, a pendant vertex of the star graph. At all other pendant vertices Dirichlet conditions are imposed; at the central vertex, at which a mass may be placed, continuity and Kirchhoff conditions are assumed. We derive conditions on two sets of real numbers to be the spectra of the above Dirichlet and Neumann problems. Our solution for the inverse problems is constructive: we establish algorithms to recover the mass distribution on the star graph (i.e. the point masses and lengths of subintervals between them) from these two spectra and from the lengths of the separate strings. If the root is a pendant vertex, the two spectra uniquely determine the parameters on the main string (i.e. the string incident to the root) if the length of the main string is known. The mass distribution on the other edges need not be unique; the reason for this is the non-uniqueness caused by the non-strict interlacing of the given data in the case when the root is the central vertex. Finally, we relate of our results to tree-patterned matrix inverse problems.

On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators

We consider one-dimensional Schrödinger-type operators in a bounded interval with non-self-adjoint Robin-type boundary conditions. It is well known that such operators are generically conjugate to normal operators via a similarity transformation. Motivated by recent interests in quasi-Hermitian Hamiltonians in quantum mechanics, we study properties of the transformations and similar operators in detail. In the case of parity and time reversal boundary conditions, we establish closed integral-type formulae for the similarity transformations, derive a non-local self-adjoint operator similar to the Schrödinger operator and also find the associated “charge conjugation” operator, which plays the role of fundamental symmetry in a Krein-space reformulation of the problem.

The inverse problem for Schwinger pair production

The production of electron–positron pairs in time-dependent electric fields (Schwinger mechanism) depends non-linearly on the applied field profile. Accordingly, the resulting momentum spectrum is extremely sensitive to small variations of the field parameters. Owing to this non-linear dependence it is so far unpredictable how to choose a field configuration such that a predetermined momentum distribution is generated. We show that quantum kinetic theory along with optimal control theory can be used to approximately solve this inverse problem for Schwinger pair production. We exemplify this by studying the superposition of a small number of harmonic components resulting in predetermined signatures in the asymptotic momentum spectrum. In the long run, our results could facilitate the observation of this yet unobserved pair production mechanism in quantum electrodynamics by providing suggestions for tailored field configurations.

On an Application of Microsoft Excel’s Evolutionary Solver to the Resource-Constrained Project Scheduling Problem RCPSP

The Solver Add-in of Microsoft Excel is widely used in courses on Operations Research and in industrial applications. Since the 2010 version of Microsoft Excel, the Solver Add-in comprises a so-called evolutionary solver. We analyze how this metaheuristic can be applied to the resource-constrained project scheduling problem (RCPSP). We present an implementation of a schedule-generation scheme in a spreadsheet, which combined with the evolutionary solver can be used for devising good feasible schedules. Our computational results indicate that using this approach, non-trivial instances of the RCPSP can be (approximately) solved to optimality.

Linguista sum... sed lingua non definio. Absence de définition de la langue et circularité de la construction structurale

This article analyzes the Jakobsonian classification of aphasias. It aims to show on the one hand the non-linguistic character of this classification and on the other hand its asymmetry, in spite of the fact that its author had conceived his structural construction as symmetrical. The non-linguistic character of Jakobson’s formulation is due to the absence of any definition of language, this absence being the main characteristic of Jakobsonian linguistics: concerning the aphasia problem, the Jakobsonian formulation is linguistic solely by virtue of its object, aphasia, which is already considered as a linguistic concern because it belongs to the field of « language », but which is not defined as such (as linguistic). As for asymmetry, it demonstrates first the circularity of the Jakobsonian representation of language (the duality between structure and functioning), and secondly the non-linguistic character – in the Saussurean sense of the term – of the aphasia problem. Thus it appears that breaking (in the sense of Gaston Bachelard) with idiom is the prerequisite of a scientific apprehension of language, and therefore of any interdisciplinarity, this being one of Jakobson’s favorite topics but one that this linguist failed to render fruitful because he did not offer a real definition of language.

The Complexity of Non-Iterated Probabilistic Justification Logic

The logic PJ is a probabilistic logic defined by adding (noniterated) probability operators to the basic justification logic J. In this paper we establish upper and lower bounds for the complexity of the derivability problem in the logic PJ. The main result of the paper is that the complexity of the derivability problem in PJ remains the same as the complexity of the derivability problem in the underlying logic J, which is π[p/2] -complete. This implies that the probability operators do not increase the complexity of the logic, although they arguably enrich the expressiveness of the language.

The winner takes it all? Characteristics of adolescents at-risk/problem gamblers in Switzerland

Background: Gambling has and still entertains people in almost all societies throughout the world. Western societies have faced considerable changes in the amount and accessibility of gambling possibilities during the last decades, and the rates of both adolescent gamblers and problem gamblers have increased significantly. Objective: To determine the characteristics of at-risk and problem adolescent gamblers in Switzerland. Subjects: The study population consisted of 3134 students (1669 females) attending post-mandatory education in 15 randomly chosen centres. Participants were divided into non- (n=2207), non-problematic (n=754) and at-risk/ problematic gamblers (n=176). Methods: Both gambling groups were compared to non-gamblers on socio-demographic measures, substance use and Internet use. Overall, 29.6% had gambled during the past year and 5.6% had gambled in a risky or problematic way. Compared to non-gamblers and after controlling for potential confounders, non-problem gamblers were significantly more likely to be male, apprentices and to misuse alcohol. At-risk/problematic gamblers were additionally more likely to smoke cannabis, to be problematic Internet users and to be non-Swiss than non-gamblers. Conclusion: At-risk and problematic adolescent gambling is associated with other health risk behaviours. Health practitioners should include gambling in the psycho-social screening and preventive counselling of adolescents.

A cross-sectional study of disparities in suicide ideation between Hispanic and non-Hispanic white female adolescents

Suicide is recognized as a major public health and clinical problem in the United States. One fifth of adolescents in the United States seriously consider suicide each year, and about 8% of high school students attempt suicide at least once. Hispanic ethnicity constitutes a risk factor for suicidal ideation and suicide attempts, with Hispanic females at highest risk. Nevertheless, published studies on suicidal behavior in Hispanic female adolescents are extremely limited and focus on suicidal ideation in school samples. Given the severity of the problem and the paucity of information on this topic, more research on ethnic differences in suicidal ideation in community samples of high-risk children is urgently needed. This cross-sectional study delineated differences in suicide ideation between Hispanic female adolescents and non-Hispanic white female adolescents attending a mental health clinic and examined the association of ethnicity with suicide ideation independent of other known risk factors. Data were accrued between June 2004 and December 2008 in a Harris County Mental Health and Mental Retardation Association (MHMRA) clinic. Data were limited to adolescents who were Harris County Residents between the ages of 10 to 17 years when they were admitted to the clinic. The objective of this study was to determine whether differences in socio-demographic and clinical variables play a significant role in ethnic disparities in suicide ideation. A series of logistic regressions were performed to estimate the association between ethnicity and suicide ideation after controlling for potentially confounding factors. ^ Results showed an interaction between Hispanic ethnicity and having a history of treatment: Hispanic girls having history of treatment had lower odds of having suicide ideation than Hispanic girls without such a history. After adjusting for treatment history, family problems, substance use, juvenile justice involvement, current treatment, and age, Hispanic girls had 1.86 times the odds of having suicide ideation than non Hispanic girls (OR=1.86, 95% CI=0.88-1.46). Although additional studies on community samples of high risk adolescents are needed to verify these findings, our study highlights the fact that Hispanic girls are at significantly higher risk and need to be targeted for prevention and treatment efforts. ^

Non-nutritive sucking and the preterm infant

Background. Preterm birth is major public health problem. Preterm infants face a post-natal environment that their under developed systems are inapt to manage. Developmentally supportive individualized care has demonstrated positive outcomes in minimizing resulting negative effects. Non-nutritive sucking (NNS) interventions are thought to promote the development of the suck-swallow-breathe mechanism and a calming tool. It is hypothesized that growth and development is maintained by strengthened sucking skills and stable behavioral states.^ Objective. To determine the importance of non-nutritive sucking (NNS) on outcomes that are clinically relevant to the preterm infant population.^ Methods. A computerized search of MEDLINE and PUBMED databases during the period of 1975 and May 2011 was conducted. Relevant articles were selected using published criteria for detecting clinically validated studies. The search yielded 10 randomized controlled studies relative to the outcomes of interest: weight gain, time to full feeds, time to discharge from hospital, and pain response.^ Results. NNS was found to decrease significantly the length of hospitalization in preterm infants. Although positive results were reported in some of the studies, the results did not show a consistent benefit of NNS with respect to other major clinical variables. NNS was shown to reduce distress following painful stimuli.^ Conclusion. Although NNS shows promise for the development of preterm infants, there is lack of agreement concerning some of the outcomes of interest. Evidence does support NNS's positive contribution to early hospital discharge and pain relief. Future research should focus on long-term, comparable outcomes. ^

The Effect of Proximity, Explicitness, and Representation of Basic Science Information on Student Clinical Problem-Solving

Problem: Medical and veterinary students memorize facts but then have difficulty applying those facts in clinical problem solving. Cognitive engineering research suggests that the inability of medical and veterinary students to infer concepts from facts may be due in part to specific features of how information is represented and organized in educational materials. First, physical separation of pieces of information may increase the cognitive load on the student. Second, information that is necessary but not explicitly stated may also contribute to the student’s cognitive load. Finally, the types of representations – textual or graphical – may also support or hinder the student’s learning process. This may explain why students have difficulty applying biomedical facts in clinical problem solving. Purpose: To test the hypothesis that three specific aspects of expository text – the patial distance between the facts needed to infer a rule, the explicitness of information, and the format of representation – affected the ability of students to solve clinical problems. Setting: The study was conducted in the parasitology laboratory of a college of veterinary medicine in Texas. Sample: The study subjects were a convenience sample consisting of 132 second-year veterinary students who matriculated in 2007. The age of this class upon admission ranged from 20-52, and the gender makeup of this class consisted of approximately 75% females and 25% males. Results: No statistically significant difference in student ability to solve clinical problems was found when relevant facts were placed in proximity, nor when an explicit rule was stated. Further, no statistically significant difference in student ability to solve clinical problems was found when students were given different representations of material, including tables and concept maps. Findings: The findings from this study indicate that the three properties investigated – proximity, explicitness, and representation – had no statistically significant effect on student learning as it relates to clinical problem-solving ability. However, ad hoc observations as well as findings from other researchers suggest that the subjects were probably using rote learning techniques such as memorization, and therefore were not attempting to infer relationships from the factual material in the interventions, unless they were specifically prompted to look for patterns. A serendipitous finding unrelated to the study hypothesis was that those subjects who correctly answered questions regarding functional (non-morphologic) properties, such as mode of transmission and intermediate host, at the family taxonomic level were significantly more likely to correctly answer clinical case scenarios than were subjects who did not correctly answer questions regarding functional properties. These findings suggest a strong relationship (p < .001) between well-organized knowledge of taxonomic functional properties and clinical problem solving ability. Recommendations: Further study should be undertaken investigating the relationship between knowledge of functional taxonomic properties and clinical problem solving ability. In addition, the effect of prompting students to look for patterns in instructional material, followed by the effect of factors that affect cognitive load such as proximity, explicitness, and representation, should be explored.

Molecular studies of human high grade B cell non -Hodgkin's lymphomas

The non-Hodgkin's B cell lymphomas are a diverse group of neoplastic diseases. The incidence rate of the malignant tumors has been rising rapidly over the past twenty years in the United States and worldwide. The lack of insight to pathogenesis of the disease poses a significant problem in the early detection and effective treatment of the human malignancies. These studies attempted to investigate the molecular basis of pathogenesis of the human high grade B cell non-Hodgkin's lymphomas with a reverse genetic approach. The specific objective was to clone gene(s) which may play roles in development and progression of human high grade B cell non-Hodgkin's lymphomas.^ The messenger RNAs from two high grade B cell lymphoma lines, CJ and RR, were used for construction of cDNA libraries. Differential screening of the derived cDNA libraries yielded a 1.4 kb cDNA clone. The gene, designated as NHL-B1.4, was shown to be highly amplified and over-expressed in the high grade B cell lymphoma lines. It was not expressed in the peripheral blood lymphoid cells from normal donors. However, it was inducible in peripheral blood T lymphocytes by a T cell mitogen, PHA, but could not be activated in normal B cells by B cell mitogen PMA. Further molecular characterization revealed that the gene may have been rearranged in the RR and some other B cell lymphoma lines. The coding capacity of the cDNA has been confirmed by a rabbit reticulocyte lysate and wheat germ protein synthesis system. A recombinant protein with a molecular weight of approximate 30 kDa was visualized in autoradiogram. Polyclonal antisera have been generated by immunization of two rabbits with the NHL-B1.4 recombinant protein produced in the E. coli JM109. The derived antibody can recognize a natural protein with molecular weight of 49 kDa in cell lysate of activated peripheral T lymphocytes of normal donors and both the cell lysate and supernatant of RR B cell lymphoma lines. The possible biologic functions of the molecule has been tested preliminarily in a B lymphocyte proliferation assay. It was found that the Q-sepharose chromatograph purified supernatant of COS cell transfection could increase tritiated thymidine uptake by B lymphocytes but not by T lymphocytes. The B cell stimulatory activity of the supernatant of COS cell tranfection could be neutralized by the polyclonal antisera, indicating that the NHL-B1.4 gene product may be a molecule with BCGF-like activity.^ The expression profiles of NHL-B1.4 in normal and neoplastic lymphoid cells were consistent with the current B lymphocyte activation model and autocrine hypothesis of high grade B cell lymphomagenesis. These results suggested that the NHL-B1.4 cDNA may be a disease-related gene of human high grade B cell lymphomas, which may codes for a postulated B cell autocrine growth factor. ^

Dysregulated CD40-NF-kappaB signaling in the pathophysiology of aggressive non -Hodgkin's lymphoma B cells

Non-Hodgkin's Lymphomas (NHL) are a group (>30) of important human lymphoid cancers that unlike other tumors today, are showing a marked increase in incidence. The lack of insight to the pathogenesis of B-cell NHL poses a significant problem in the early detection and effective treatment of these malignancies. This study shows that large B-cell lymphoma (LBCL) cells, the most common type of B-cell NHL (account for more than 30% of cases), have developed a novel mechanism for autonomous neoplastic B cell growth. We have identified that the key transcription factor NF-κB, is constitutively activated in LBCL cell lines and primary biopsy-derived LBCL cells, suggesting that they are autonomously activated, and do not require accessory T-cell signaling for cell growth and survival. Further studies have indicated that LBCL cells ectopically express an important T-cell associated co-mitogenic factor, CD154 (CD40 ligand), that is able to internally activate the CD401NF-κB pathway, through constitutive binding to its cognate receptor, CD40, on the lymphoma cell surface. CD40 activation triggers the formation of a “Signalosome” comprising virtually the entire canonical CD40/NF-κB signaling pathway that is anchored by CD40 in plasma membrane lipid rafts. The CD40 Signalosome is vulnerable to interdiction by antibody against CD40 that disrupts the Signalosome and induces cell death in the malignant cells. In addition to constitutive NF-κB activation, we have found that the nuclear factor of activated T cells (NFAT) transcription factor is also constitutively activated in LBCL cells. We have demonstrated that the constitutively active NFATc1 and c-rel members of the NFAT and NF-κB families of transcription factors, respectively, interact with each other, bind to the CD154 promoter, and synergistically activate CD154 gene transcription. Down-regulation of NFATc1 and c-rel with small interfering RNA inhibits CD154 gene transcription and lymphoma cell growth. Our findings suggest that continuous CD40 activation not only provides dysregulated proliferative stimuli for lymphoma cell growth and extended tumor cell survival, but also allows continuous regeneration of the CD40 ligand in the lymphoma cell and thereby recharges the system through a positive feedback mechanism. Targeting the CD40/NF-κB signaling pathway could provide potential therapeutic modalities for LBCL cells in the future. ^

A note on the stable equivalence problem

We provide counterexamples to the stable equivalence problem in every dimension d ≥ 2. That means that we construct hypersurfaces H₁ , H₂ ⊂ C d+1 whose cylinders H₁ × C and H₂ × C are equivalent hypersurfaces in C d+2 , although H₁ and H₂ themselves are not equivalent by an automorphism of C d+1 . We also give, for every d ≥ 2, examples of two non-isomorphic algebraic varieties of dimension d which are biholomorphic.

Estimation Technique of International Input-Output Model by Non-survey Method

The Asian International Input-Output (IO) Table that is compiled by Institute of Developing Economies-JETRO (IDE), was constructed in Isard type form. Thus, it required a lot of time to publish. In order to avoid this time-lag problem and establish a more simple compilation technique, this paper concentrates on verifying the possibility of using the Chenery-Moses type estimation technique. If possible, applying the Chenery-Moses instead of the Isard type would be effective for both impact and linkage analysis (except for some countries such as Malaysia and Singapore and some primary sectors. Using Chenery-Moses estimation method, production of the Asian International IO table can be reduced by two years. And more, this method might have the possibilities to be applied for updating exercise of Asian IO table.

Linear global instability of non-orthogonal incompressible swept attachment-line boundary layer flow

Instability of the orthogonal swept attachment line boundary layer has received attention by local1, 2 and global3–5 analysis methods over several decades, owing to the significance of this model to transition to turbulence on the surface of swept wings. However, substantially less attention has been paid to the problem of laminar flow instability in the non-orthogonal swept attachment-line boundary layer; only a local analysis framework has been employed to-date.6 The present contribution addresses this issue from a linear global (BiGlobal) instability analysis point of view in the incompressible regime. Direct numerical simulations have also been performed in order to verify the analysis results and unravel the limits of validity of the Dorrepaal basic flow7 model analyzed. Cross-validated results document the effect of the angle _ on the critical conditions identified by Hall et al.1 and show linear destabilization of the flow with decreasing AoA, up to a limit at which the assumptions of the Dorrepaal model become questionable. Finally, a simple extension of the extended G¨ortler-H¨ammerlin ODE-based polynomial model proposed by Theofilis et al.4 is presented for the non-orthogonal flow. In this model, the symmetries of the three-dimensional disturbances are broken by the non-orthogonal flow conditions. Temporal and spatial one-dimensional linear eigenvalue codes were developed, obtaining consistent results with BiGlobal stability analysis and DNS. Beyond the computational advantages presented by the ODE-based model, it allows us to understand the functional dependence of the three-dimensional disturbances in the non-orthogonal case as well as their connections with the disturbances of the orthogonal stability problem.