SOME REFINED RESULTS ON THE MIXED LITTLEWOOD CONJECTURE FOR PSEUDO-ABSOLUTE VALUES

In this paper, we study the mixed Littlewood conjecture with pseudo-absolute values. For any pseudo-absolute-value sequence ${\mathcal{D}}$, we obtain a sharp criterion such that for almost every $\unicode[STIX]{x1D6FC}$ the inequality $$\begin{eqnarray}|n|_{{\mathcal{D}}}|n\unicode[STIX]{x1D6FC}-p|\leq \unicode[STIX]{x1D713}(n)\end{eqnarray}$$ has infinitely many coprime solutions $(n,p)\in \mathbb{N}\times \mathbb{Z}$ for a certain one-parameter family of $\unicode[STIX]{x1D713}$. Also, under a minor condition on pseudo-absolute-value sequences ${\mathcal{D}}_{1},{\mathcal{D}}_{2},\ldots ,{\mathcal{D}}_{k}$, we obtain a sharp criterion on a general sequence $\unicode[STIX]{x1D713}(n)$ such that for almost every $\unicode[STIX]{x1D6FC}$ the inequality $$\begin{eqnarray}|n|_{{\mathcal{D}}_{1}}|n|_{{\mathcal{D}}_{2}}\cdots |n|_{{\mathcal{D}}_{k}}|n\unicode[STIX]{x1D6FC}-p|\leq \unicode[STIX]{x1D713}(n)\end{eqnarray}$$ has infinitely many coprime solutions $(n,p)\in \mathbb{N}\times \mathbb{Z}$.

Analysis of Village Tourism Development in Sawahan, Trenggalek Regency, Indonesia: A Sustainable Livelihood Approach

Sustainable approach takes into consideration five aspects in the development of the model : social, natural, human, physical, and economic. This study aims to find out the Development of Tourism Village Based on Sustainable Livelihood Approach in Sawahan Village, Watulimo Subdistrict, Trenggalek Regency. The study was conducted on July-August, 2017 in Sawahan Village, Watulimo Subdistrict, Trenggalek Regency, East Java Province. The assumption is that the sustainable livelihood process has been running in the village. We observed 5 types of assets: naturalt, human, financial, social, and physical. The results are analyzed qualitatively as well quantitatively by statistical assumptions. We use the parameter significance test, which consists of testing the significance of parameters simultaneously and testing the significance of partial regression model parameters. Natural and social asset become the main factor in supporting the development of sustainable livelihood in Sawahan Village. Although it affects as minor condition, the financial, physical, and human asset can significantly influence when in the same condition. Key Words : Asset, Livelihood, Sawahan, Sustainable

Clinical Guidelines and Management of Ankyloglossia with 1-Year Followup: Report of 3 Cases

The tongue is an important oral structure that affects speech, position of teeth, periodontal tissue, nutrition, swallowing, nursing, and certain social activities. Ankyloglossia (tongue tie) is a congenital anomaly characterized by an abnormally short, thick lingual frenulum which affects movement of tongue. Though the effect of ankyloglossia in general appears to be a minor condition, but a major difference exists concerning the guidelines for tongue-tie division. There are no accepted practical criteria for the management of such condition, and hence this paper aims at bringing all the compilation in examination, diagnosis, treatment, and management of tongue tie together for better clinical approach.

The impact of non-health attributes of care on patients' choice of GP

After completing a structured evaluation of their general practitioner (GP) in terms of non-health factors, 128 people who had visited their GP in the past six months for treatment of a minor condition were administered a discrete choice experiment (DCE) designed to evaluate their preferences for non-health attributes of care within a general practice consultation. SAS and SYSTAT were used to analyse responses. Trust, legitimation, recognition of and support for emotional distress, dignity, reassurance and information (whether it is asked for or not), were the attributes respondents valued most highly. In general, participants were unwilling to change GPs.

Characterizing completely multiplicative functions by generalized Möbius functions

Using the generalized Möbius functions,μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read(μαf)−1=μ−αfandfα=μ−αf.