Sums of transcendental dilates

We show that there is an absolute constant $c>0$ such that $|A+\lambda\cdot A|\geq e^{c\sqrt{\log |A|}}|A|$ for any finite subset $A$ of $\mathbb{R}$ and any transcendental number $\lambda\in\mathbb{R}$. By a construction of Konyagin and Laba, this is best possible up to the constant $c$.Comment: 7 page

Waste Not, Want Not: The Potential for Urban Water Conservation in California

The largest, least expensive, and most environmentally sound source of water to meet California's future needs is the water currently being wasted in every sector of our economy. This report, "Waste Not, Want Not," strongly indicates that California's urban water needs can be met into the foreseeable future by reducing water waste through cost-effective water-saving technologies, revised economic policies, appropriate state and local regulations, and public education

The Role of Political Elites in the Development of New Villages in Malaysia

Political elites comprise a small group that has power and influence over the “others” in society. Basically, political elites play an important role in the decision-making process of the community. New Villages in Malaysia are influenced by political elites who are the representatives of the village community.These political elites are members of the Malaysian Chinese Association (MCA), a coalition party of the ruling political party.MCA's political elite play an important role in safeguarding the welfare and affairs of the New Village residents.New Villages refer to a Chinese New Village which is a re-settlement site set up during the Communist emergency period of British rule in Malaysia in the mid-1950s.The role of the MCA's political elite has helped to create the New Village Master Plan 2005 which serves as a guide and reference to the Federal Government and the State Government in the development of New Villages.However, limited provisions and unclear policies have resulted in New Villages facing a multitude of problems and have frustrated development in New Villages especially in tandem with the requirements of national development. The residents of New Villages are neglected, and many are experiencing social and economic problems. The paper evaluates these problems with reference to the role of local leaders and development objectives for New Villages in the context of national goals

Fast Metasurface Hybrid Lens Design using a Semi-Analytical Model

We propose a new method for integrating metasurfaces in optical design using semi-analytical modelling of dielectric nanostructures. The latter computes the output phase of an electric field incident on the metasurface, allowing their use with ray-tracing software. This tool provides a method to use metasurfaces in optical systems while using built-in optimization processes to avoid time-consuming computation. To demonstrate the applicability and versatility of our method, we present variations of a triplet composed of refractive elements and a metasurface. For each of the systems, similar optical performances are achieved. Our unique and innovative approach to joining metasurfaces and ray tracing has the potential to promote the design of innovative systems by exploiting the richness of metasurfaces and the functionality of conventional lens design software

INCREASING BACKHAND SERVICE LEARNING OUTCOMES IN THE TABLE TENNIS GAME THROUGH JIGSAW TYPE COOPERATIVE LEARNING MODEL IN CLASS VII STUDENTS OF JUNIOR HIGH SCHOOL I LEKSULA

This study aims to determine the relationship between heating modification and student motivation in learning physical education in class XI SMA Negeri 1 Jatibarang. This research belongs to the category of quantitative research with a correlational method. The population of this study were all students of class XI SMAN 1 Jatibarang, amounting to 117 people and totaled five classes, each class numbering 23-24 people. The sampling technique used is probability sampling by means of simple random sampling, therefore the researcher takesa sample of 50% of the population or a number of 59 students to represent the entire population. Data were collected by distributing questionnaires. The statistical analysis used was the correlation test, determinant test, and t test. The correlation test results of 0.739 are included in the strong relationship level. Based on the results of the determinant test, it was obtained a determinant coefficient of 54.61%, which means that heating modification is an important factor in relation to learning motivation and the remaining 45.39% is related to other factors. While the t test results obtained tcount 8,139 greater than ttable 2,002. In this case tcount is in the rejection area H0, so H0 is rejected and H1 is accepted, meaning that there is a significant relationship between heating modification and student learning motivation in learning physical education

Ekologické inovácie na Slovensku: stav, vývoj a politiky/Ecological Innovation on Slovakia: Current State, Development and Policy

This article identifies the key aspects and the position of ecological innovations in the economy and the economic policy system in Slovakia. The ambition is not to provide an exhaustive picture but to identify and descriptively analyse the key contexts, frameworks and actors. In the first part, we briefly deal with theoretical issues of eco-innovation and in the second part we select indicators which explain the state of the environment in both Slovakia and the European Union (EU). These are the contextual factors which determine the development of eco-innovation. The third part of this research is based on standard metrics, whereby we analyse the state and development of eco-innovation in Slovakia. Here, we concentrate, in particular, on eco-innovation oriented R&D expenditure and patents, and the final part of the paper is devoted to current aspects of EU eco-innovation policy and the intended objectives and tools for eco-innovation policy in Slovakia