The weakly coupled fractional one-dimensional Schr\"{o}dinger operator with index 1<α≤2\bf 1<\alpha \leq 2

We study fundamental properties of the fractional, one-dimensional Weyl operator $\hat{\mathcal{P}}^{\alpha}$ densely defined on the Hilbert space $\mathcal{H}=L^2({\mathbb R},dx)$ and determine the asymptotic behaviour of both the free Green's function and its variation with respect to energy for bound states. In the sequel we specify the Birman-Schwinger representation for the Schr\"{o}dinger operator $K_{\alpha}\hat{\mathcal{P}}^{\alpha}-g|\hat{V}|$ and extract the finite-rank portion which is essential for the asymptotic expansion of the ground state. Finally, we determine necessary and sufficient conditions for there to be a bound state for small coupling constant $g$.Comment: 16 pages, 1 figur

INDONESIAN STUDENTS INTEGRITY IN REGULAR AND RELIGIOUS-BASED SENIOR HIGH SCHOOLS

The integrity of a nation can be built through educational process both formally and informally, within family, school, and community. This article results from research that measures Indonesian students’ integrity in regular and religious-based public senior high schools on dimensions of honesty, responsibility, tolerance, and love for the homeland. This study found two findings through quantitative descriptive research methods with cross-tab analysis of instrument with a Guttman and Likert scale. First, there are differences in student’s integrity attending regular and religion-based public high schools in dimensions of honesty, responsibility, and tolerance. However, in the dimension of love for the homeland, integrity of the regular and religion-based senior high school students is same. Second, the integrity of high school students is influenced by supporting factors, both internal and external. At the same time, inhibiting factors for the formation of student integrity are influenced by the absence of public spaces in schools, rules and sanctions agreed upon by the community

Review and Evaluation of the J100â 10 Risk and Resilience Management Standard for Water and Wastewater Systems

Risk analysis standards are often employed to protect critical infrastructures, which are vital to a nation’s security, economy, and safety of its citizens. We present an analysis framework for evaluating such standards and apply it to the J100â 10 risk analysis standard for water and wastewater systems. In doing so, we identify gaps between practices recommended in the standard and the state of the art. While individual processes found within infrastructure risk analysis standards have been evaluated in the past, we present a foundational review and focus specifically on water systems. By highlighting both the conceptual shortcomings and practical limitations, we aim to prioritize the shortcomings needed to be addressed. Key findings from this study include (1) risk definitions fail to address notions of uncertainty, (2) the sole use of â worst reasonable caseâ assumptions can lead to mischaracterizations of risk, (3) analysis of risk and resilience at the threatâ asset resolution ignores dependencies within the system, and (4) stakeholder values need to be assessed when balancing the tradeoffs between risk reduction and resilience enhancement.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/154262/1/risa13421_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/154262/2/risa13421.pd

The role of nutrition in integrated programs to control neglected tropical diseases

There are strong and direct relationships between undernutrition and the disease caused by infectious organisms, including the diverse pathogens labeled as neglected tropical diseases (NTDs). Undernutrition increases the risk of infection, the severity of disease and the risk that children will die, while the physical damage, loss of appetite, and host responses during chronic infection can contribute substantially to undernutrition. These relationships are often synergistic. This opinion article examines the role of nutrition in controlling NTDs and makes the point that mass drug treatment - the major strategy currently proposed to control several diseases - is crucial to controlling disease and transmission, but is only the start of the process of physical recovery. Without adequate energy and nutrients to repair damaged tissues or recover lost growth and development, the benefits of treatment may not be evident quickly; the effects of control programs may be not appreciated by beneficiaries; while vulnerability to reinfection and disease may not be reduced. There is substantial potential for nutritional interventions to be added to large-scale programs to deliver drug treatments and thereby contribute, within a broad strategy of public health interventions and behavior change activities, to controlling and preventing NTDs in populations, and to restoring their health

Political Entrepreneurship in the Field of Māori Sovereignty in Aotearoa New Zealand

Individual actors have the potential to shape political outcomes through creative use of opportunities. Political entrepreneurship identifies how such actors recognise and exploit opportunities, for personal or collective gain. The existing literature focuses on individuals operating within institutional settings, with less attention paid to other types of actors. In this article, I argue for an expansion of the political entrepreneurship framework, by considering individuals in the electoral and protest arenas. An examination of the field of Māori sovereignty, or tino rangatiratanga, in Aotearoa New Zealand allows exploration of prominent actors’ innovative strategies and practices. The findings highlight the actors’ reliance on identity in mobilising support within the community, to press claims. Broadening the application of political entrepreneurship demonstrates the roles of social, cultural and political capital in influencing outcomes, by identifying opportunities available to individuals embedded in the community and according to the context of the arena

DESIGN OF A RULE BASED HINDI LEMMATIZER

Stemming is the process of clipping off the affixes from the input word to obtain the respective root word, but it is not necessary that stemming provide us the genuine and meaningful root word. To overcome this problem we come up with a solution- Lemmatizer. It is the process by which we crave out the lemma from the given word and can also add additional rules to make the clipped word a proper stem. In this paper we have created an inflectional lemmatizer which generates the rules for extracting the suffixes and also added rules for generating a proper meaningful root word

MINIMAL PROPERTIES BETWEEN T1 AND T2

Abstract. A space is a US-space if every convergent sequence has a unique limit; it is an SC-space if each convergent sequence together with its limit is closed and is a KC-space if every compact subset is closed. We study the existence of spaces which are minimal with respect to these properties. We develop a number of results regarding minimal SC-spaces, we show that the class of infinite minimal US-spaces is empty and we give a consistent example of a Tychonoff topology which contains no minimal KC-topology. 1

WEAKER CONNECTED HAUSDORFF TOPOLOGIES ON SPACES WITH A σ-LOCALLY FINITE BASE

Abstract. Continuing work of [3], we show that each Hausdorff space with a σ-locally finite base and uncountable weight admits a weaker connected Hausdorff topology. The results obtained answer Question 3.9 of [3] and generalize theorems of [3] and [5]. 1