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This white paper discusses the evolution of the satellite radio industry during its first decade. Since their inception, both Sirius & XM have gone through major developments as well as changes include the acquisition of Sirius by XM in March 2008. This paper is an important to the current literature in this field as it preserves the history of the origins and development of the satellite radio industry during its first and most important decade.

The variability and interdependence of local porosity and local mean geodesic tortuosity, which is a measure for the sinuosity of shortest transportation paths, is investigated at the example of the microstructure in sack paper. By means of statistical image analysis, these two morphological characteristics are computed for several cutouts of 3D image data obtained by X-ray microcomputed tomography. Considering cutouts of different sizes allows us to study the influence of the sample size on the local variability of the considered characteristics. Moreover, the interdependence between local porosity and local mean geodesic tortuosity is quantified by modeling their joint distribution parametrically using Archimedean copulas. It turns out that the family of Gumbel copulas is an appropriate model type, which is formally validated by a goodness of fit test. Besides mean geodesic tortuosity, we consider further related morphological characteristics, describing the sinuosity of those shortest transportation paths, whose minimum diameter exceeds a predefined threshold. Moreover, we show that the copula approach investigated in this paper can also be used to quantify the negative correlation between local porosity and these modified versions of local mean geodesic tortuosity. Our results elucidate the impact of local porosity on various kinds of morphological characteristics, which are not experimentally accessible and which are important for local air permeance – a key property of sack paper.

We introduce a graph Ramsey game called Ramsey, Paper, Scissors. This game has two players, Proposer and Decider. Starting from an empty graph on $n$ vertices, on each turn Proposer proposes a potential edge and Decider simultaneously decides (without knowing Proposer's choice) whether to add it to the graph. Proposer cannot propose an edge which would create a triangle in the graph. The game ends when Proposer has no legal moves remaining, and Proposer wins if the final graph has independence number at least $s$. We prove a threshold phenomenon exists for this game by exhibiting randomized strategies for both players that are optimal up to constants. Namely, there exist constants $0B\sqrt{n}\log{n}$. This is a factor of $\Theta(\sqrt{\log{n}})$ larger than the lower bound coming from the off-diagonal Ramsey number $r(3,s)$.

Recently, In the year 2020, Altun et al. \cite{AL} introduced the notion of $p$-proximal contractions and discussed about best proximity point results for this class of mappings. Then in the year 2021, Gabeleh and Markin \cite{GB} showed that the best proximity point theorem proved by Altun et al. in \cite{AL} follows from the fixed point theory. In this short note, we show that if the $p$-proximal contraction constant $k, Comment: 3 pages

The main result of this paper states that if $${\mathcal {F}}$$ is a subgroup-closed saturated formation of full characteristic, then the $${\mathcal {F}}$$ -residual of a K- $${\mathcal {F}}$$ -subnormal subgroup S of a finite group G is a large subgroup of G provided that the $${\mathcal {F}}$$ -hypercentre of every subgroup X of G containing S is contained in the $${\mathcal {F}}$$ -residual of X. This extends a recent result of Aivazidis, Safonova and Skiba.

If $$z\in {\mathbb {C}}$$ and $$1\le n$$ is a natural number then $$\begin{aligned} \sum _{d_1 d_2 =n} (1-z^{p_1})\cdots (1-z^{p_m}) z^{q_1 e_{1}+\cdots +q_i e_{i} }=1, \end{aligned}$$ where $$d_1=p_1^{r_1}\dots p_m^{r_m }$$ , $$d_2=q_1^{e_1}\dots q_i^{e_i }$$ are the prime decompositions of $$d_1, d_2$$ . This is one of the identities involving arithmetic functions that we prove using ideas from the paper of Dressler and van de Lune [3].

espanolEn el presente escrito se reflexionara acerca de la tecnociencia y la manera en que la sociedad ha transitado hacia una confianza ciega y dependencia hacia la ciencia y la tecnologia, al grado de que la mayoria de las acciones que llevamos a cabo en la cotidianeidad dependen de algun gadget o dispositivo tecnologico que media la relacion entre seres humanos y otros seres vivos. De esta forma, se busca analizar ciertos presupuestos y promesas que tienen el progreso, la ciencia y la tecnica, y, la manera en que estos se han convertido en cuestiones o elementos indispensables para las sociedades contemporaneas. Dicha j sera ejemplificada a partir del analisis del mural El hombre controlador del universo de Diego Rivera que se encuentra en el Palacio de Bellas Artes, Mexico. EnglishThis paper will reflect on technoscience and the way in which society has moved towards blind trust and dependence on science and technology, to the extent that most of the actions we carry out on a daily basis depend on some gadget or technological device that mediates the relationship between human beings and other living beings. In this way, we seek to analyse certain assumptions and promises that progress, science and technology have, and the way in which these have become indispensable questions or elements for contemporary societies. This reflection will be exemplified by the analysis of Diego Rivera's mural The Man Who Controls the Universe, which is located in the Palacio de Bellas Artes, Mexico.

Peta Wisata Bahari (PWB) dibuat untuk menyajikan informasi tentang lokasi tempat – tempat wisata, ada banyak ikon/simbol yang mudah dikenali dan disertai informasi singkat tentang tempat tersebut, serta sebagai sarana pendukung bantu bernavigasi dalam pelayaran sehingga mempermudah para wisatawan dalam menentukan pilihan wisata-wisata yang ada yang akan dijadikan sebagai destinasi wisata. PWB Wilayah Labuan Bajo dan Pulau Komodo yang telah sesuai dapat digunakan oleh para pengguna dan kapal-kapal wisatawan secara efektif.Pembuatan PWB di Pushidrosal saat ini menggunakan perangkat lunak CARIS GIS 4.5 dengan proses tahapan yang panjang dan waktu yang cukup lama. Caris Paper Chart Composer 2.1 (CARIS PCC 2.1) merupakan perangkat lunak yang mempunyai fungsi sama dengan CARIS GIS 4.5 dalam hal pembuatan peta laut. Tujuan yang ingin dicapai dari penelitian ini adalah tersedianya PWB Wilayah Labuan Bajo dan Pulau Komodo yang sesuai dengan juknis pembuatan PWB dengan proses tahapan pembuatan yang efektif dan efisien. Metode yang digunakan adalah dengan mendigitasi PWB Wilayah Labuan Bajo dan Pulau Komodo berupa raster menggunakan perangkat lunak CARIS PCC 2.1. Hasil digitasi tersebut dikoreksi dengan optimalisasi, validasi dan analisis hingga nilai kesalahan tidak ada yang muncul.

A simple sticker sensor has been constructed using litmus paper and tests have been conducted to detect the freshness of beef samples. The results show that the sticker sensor can be used to determine the degree of beef freshness, since the color change of the litmus paper and the quality degradation of the beef during storage time had a similar trend, where the decay of the beef could be detected clearly (when the red litmus paper changed to blue). The sticker sensor reacted accurately to the beef’s freshness in terms of pH change due to beef deterioration from pH 5.61 to 6.24 and from pH 5.67 to 6.02 as shown by its color change in real time at room and chiller temperature respectively. Thus, the sticker sensor can be used as an effective tool for monitoring the microbial quality of packaged fresh meat that correlates with the increased pH of the beef, where the total viable count (TVC) of 5 x 106 cfu/g or 6.698 log cfu/g correlates with a pH of 6.24. These levels were reached at 10 hrs and 7 days at room and chiller temperature respectively. This study provides a foundation for developing a simple sensor for beef freshness.

This work is a contribution to the Project UIDB/04035/2020, funded by FCT - Fundacao para a Ciencia e a Tecnologia, Portugal.

Resumen Esta investigación tiene como objetivos, por un lado, identificar los tipos de retroalimentación escrita dada por el profesorado a las producciones escritas de sus estudiantes según el modelo de Rodet (2000) y, por otro lado, analizar el uso de la retroalimentación escrita por parte del estudiantado. Es una investigación de tipo colaborativo con tres docentes participantes de francés de la Universidad de Costa Rica y sus grupos de estudiantes. Se emplearon varias técnicas de recolección de datos: grupo de discusión y análisis de las producciones escritas. Se realizó un análisis de contenido por medio de la herramienta QDA Miner. Los principales resultados obtenidos fueron, por parte del personal docente, el uso de la retroalimentación de tipo cognitivo en cuanto al contenido, constructivo en relación con la formulación e informativo con respecto a la intención. El estudiantado encontró una gran utilidad con respecto a la retroalimentación recibida, debido a varias razones como la motivación, la claridad de la información y la indicación de lo que se debía corregir. Por último, las recomendaciones serían utilizar las retroalimentaciones de tipo descriptivas y precisas para que sean útiles para el estudiantado. Tienen que ser también inmediatas. [DM1] Abstract In order to analyze how students use annotated comments from their instructors, the Rodet model (2000) is used as the basis of this study in order to identify the various types of corrective feedback provided. The subjects included three University of Costa Rica French instructors and their students. Data was gathered from group discussions and student paper analysis with QDA Miner. Results reveal that instructors tend to use cognitive, constructive and informational feedback. Students responded positively to such feedback and stated that it was motivational, delivered clearly and highlighted what needed to be corrected. The author suggests that instructor feedback be more descriptive, specific and immediate to maximize student benefit.

Very recently Bordelles, Dai, Heyman, Pan and Shparlinski studied asymptotic behaviour of the quantity $$\begin{aligned} S_f(x) := \sum _{n\leqslant x} f\left( \left[ \frac{x}{n}\right] \right) , \end{aligned}$$and established some asymptotic formulas for $$S_f(x)$$ under three different types of assumptions on f. In this short note we improve some of their results.

Let l be a Banach sequence space with a monotone norm in which the canonical system (e_{n}) is an unconditional basis. We show that if there exists a continuous linear unbounded operator between l-K\"{o}the spaces, then there exists a continuous unbounded quasi-diagonal operator between them. Using this result, we study in terms of corresponding K\"{o}the matrices when every continuous linear operator between l-K\"{o}the spaces is bounded. As an application, we observe that the existence of an unbounded operator between l-K\"{o}the spaces, under a splitting condition, causes the existence of a common basic subspace.

Connectivity is the safety network for biodiversity conservation because connected habitats are more effective for saving the species and ecological functions. The nature of coupling for connectivity also plays an important role in the co-existence of species in cyclic-dominance. The rock-paper-scissors game is one of the paradigmatic mathematical model in evolutionary game theory to understand the mechanism of biodiversity in cyclic-dominance. In this paper, the metapopulation model for rock-paper-scissors with mutations is presented in which the total population is divided into patches and the patches form a network of complete graph. The migration among patches is allowed through simple random walk. The replicator-mutator equations are used with the migration term. When migration is allowed then the population of the patches will synchronized and attain stable state through Hopf bifurcation. Apart form this, two phases are observed when the strategies of one of the species mutate to other two species: co-existence of all the species phase and existence of one kind of species phase. The transition from one phase to another phase is taking place due to transcritical bifurcation. The dynamics of the population of species of rock, paper, scissors is studied in the environment of homogeneous and heterogeneous mutation. Numerical simulations have been performed when mutation is allowed in all the patches (homogeneous mutation) and some of the patches (heterogeneous mutation). It has been observed that when the number of patches is increased in the case of heterogeneous mutation then the population of any of the species will not extinct and all the species will co-exist.

Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich., This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively., The paper ‘Zur Dynamik elastisch gekoppelter Punktsysteme’ by Schrödinger (1914) does not seem to have attracted the attention that it deserves. We translate it into English here and we discuss its results in detail, with a view to its possible influence in the modern theories of generalised continua. The clever solution found, in terms of Bessel functions, by Schrödinger of the problem of the vibrations of a linear infinite chain of molecules gives some important methodological hints for contemporary research.

The paper alluded to in the title contains the following striking result: Let $I$ be the unit interval and $\Delta$ the Cantor set. If $X$ is a quasi Banach space containing no copy of $c_0$ which is isomorphic to a closed subspace of a space with a basis and $C(I, X)$ is linearly homeomorphic to $C(\Delta, X)$, then $X$ is locally convex, i.e., a Banach space. It is shown that Kalton result is sharp by exhibiting non locally convex quasi Banach spaces X with a basis for which $C(I, X)$ and $C(\Delta, X)$ are isomorphic. Our examples are rather specific and actually in all cases X is isomorphic to $C(\Delta, X)$ if $K$ is a metric compactum of finite covering dimension., Comment: 4 pages

We can obtain a two-fold symmetric figure by folding a square sheet of paper in the middle and then cutting along some curves drawn on the paper. By making two perpendicular folds through the centre of the paper and then cutting, we can obtain a four-fold symmetric figure. We can also get an eight-fold symmetric figure by making a fold bisecting an angle made by the two perpendicular folds before cutting. But it is not possible to obtain a three-fold, five-fold or six-fold symmetric figure in this way; we need to make more folds before cutting. Making a three-fold (respectively five-fold and six-fold) figure involves the division of the angle at the centre (360°) of a square sheet of a paper into six (respectively ten and twelve) equal parts. In other words, we need to construct the angles 60°, 36° and 30°. But these angles cannot be obtained by repeated bisections of 180° by simple folding as in the making of two-fold, four-fold and eight-fold figures. In [1], we see that each of the constructions of 60° and 30° applies the fact that sin 30° = ½ and takes only a few simple folding steps. The construction of 36° is more tedious (see, for example, [2] and [3]) as sin 36° is not a simple fraction but an irrational number. In this Article, we show how to make, by paper-folding and cutting a regular pentagon, a five-pointed star and create any five-fold figure as we want. The construction obtained by dividing the angle at the centre of a square paper into ten equal parts is called a pentagon base. We gained much insight from [2] and [3] when developing the method for making the pentagon base to be presented below.

In this work, study the optical properties of composites consisting of poly Methyl Methacrylate and Berry Paper Mulberry. The samples of composites were prepared using casting method .The Berry Paper Mulberry (BPM) was added by different concentrations are (0, 2, 4 and 6)wt.%. The optical properties of composites have been studied in the wavelength range (200-800)nm. The absorption coefficient ,energy gap, refractive index, extinction coefficient and dielectric constants have been determined. The results show that the optical constants change with increase of BPM concentrations .

Corrections to the above-mentioned paper are provided.

Correction of the paper "Effect of year, lambing season, sex and birth type on early performance in MIS lambs" by Bogdan Cekic, Dragana Ruzic-Muslic, Nevena Maksimovic, Violeta Caro-Petrovic, Krstina Zeljic Stojiljkovic, Ivan Cosic, Radmila Beskorovajni, published in Biotechnology in Animal Husbandry vol. 37 (4), pages 255-262, 2022 (DOI: 10.2298/BAH2104255C): In Tables 1 and 2 instead of BW90, kg correct is BW60, kg. In Table 1 the values of statistical parameters for ADG2, g and ADG3, g are changed. Link to the corrected article 10.2298/BAH2104255C

We introduce our efforts within the project ‘The science of deep specification’ to work out the key formal underpinnings of industrial-scale formal specifications of software and hardware components, anticipating a world where large verified systems are routinely built out of smaller verified components that are also used by many other projects. We identify an important class of specification that has already been used in a few experiments that connect strong component-correctness theorems across the work of different teams. To help popularize the unique advantages of that style, we dub itdeep specification, and we say that it encompasses specifications that arerich,two-sided,formalandlive(terms that we define in the article). Our core team is developing a proof-of-concept system (based on the Coq proof assistant) whose specification and verification work is divided across largely decoupled subteams at our four institutions, encompassing hardware microarchitecture, compilers, operating systems and applications, along with cross-cutting principles and tools for effective specification. We also aim to catalyse interest in the approach, not just by basic researchers but also by users in industry.This article is part of the themed issue ‘Verified trustworthy software systems’.

Looking at the past, among the main modalities of transmission of knowledge (alongside with manuscripts and printed treatises and with respect to the various ‘precepts’) we would have found also various professional figures. This is even truer with regard to the training and dissemination of knowledge among military engineers, who used to be real ‘living vehicles’ in national and international cultural systems. This is also true for what concern that circumscribed set of knowledge of geometrical-mathematical theories, including their application to the codes of architectural Representation and Design. This research aims to investigate the example of the military engineer Gaspare Beretta (Milan 1620–1703), whose theoretical production both on architectural graphic and on various applications of Geometry is still unpublished. With the aim of developing the relationship between geometry, architecture and the transmission of knowledge, we will go through his practices of the regular fortress tracing on ‘paper and ground’, in order to verify the resulting connections between geometric reconstruction and Author’s intentions.