The characterization of projectively flat Finsler metrics on an open subset in $R^n$ is the Hilbert’s fourth problem in the regular case. Locally projectively flat Finsler manifolds form an important class of Finsler manifolds. Every Finsler metric induces a spray on the manifold via geodesics. Therefore, it is a natural problem to investigate the geometric and topological properties of manifolds equipped with a spray. In this paper, we study the Pontrjagin classes of a manifold equipped with a locally projectively flat spray and show that such manifold must have zero Pontrjagin classes.

We previously reported astronomical alignments with the principal temple of the archaeological site of El Paraiso in coastal Peru. Here we describe a new investigation of nine small platform mounds associated with the two giant animal effigy mounds at the site. A total station map of the site permits possible astronomical alignments to be measured directly from the AutoCAD map by Pixelstick or AutoCAD. We corrected alignments for obliquity and for the apparent curvature of the sun and moon over the crest of nearby ridges. Azimuths for astronomical events were obtained from Starry Night Pro Plus 6.4.3. We found that 13 of 14 alignments were within 1° of the predicted astronomical values (and all 14 were within 1.5°). To account for these findings and those of the giant animal platform effigy mounds at the site, we propose a cosmology in the Late Preceramic period of solar and lunar alignments and the linkage of supernatural animals to dark cloud constellations. The building of these mounds was directed by astronomer priests. A shared belief in a cosmology that included a punishing force may have eased transactions by engendering trust among individuals living across river valleys and at different altitudes.

Intravesical Bacillus Calmette-Guérin (BCG) is a standard therapy for non–muscle-invasive bladder cancer used in urology clinics and inpatient settings. We present a review of infection risks to patients receiving intravesical BCG, healthcare personnel who prepare and administer BCG, and other patients treated in facilities where BCG is prepared and administered. Knowledge of these risks and relevant regulations informs appropriate infection prevention measures.

Milton Friedman and David Meiselman’s 1963 article, “The Relative Stability of Monetary Velocity and the Investment Multiplier in the United States, 1897–1958,” was one of the most influential studies to come out of the Keynesian-monetarist debates of the 1960s and 1970s. The gestation of the article, however, is shrouded with considerable inaccuracy and ambiguity. I use archival materials to provide a more accurate chronological ordering of the gestation of the article than has hitherto been available. I show that the gestation was subject to considerable delays. I provide reasons that explain why a long-promised follow-up paper was never completed and why a book sequel to Friedman’s 1956 Studies in the Quantity Theory of Money, planned as a co-edited work shortly after the appearance of the Friedman and Meiselman 1963 article, was not published until 1970 and was edited by Meiselman alone.

In this paper, a compact unidirectional antenna consisting of a planar electric dipole and a shortened connecting element is introduced. This antenna is excited by a Γ-shaped feeding line. A wide impedance bandwidth in the frequency range of 1.3–3.3 GHz is observed in the output performance. Sufficient main lobe and low level back lobe have been introduced as other characteristics of the structure, based on radiation patterns. The antenna design process is evaluated step-by-step and using parametric study based on the antenna geometry. One of the main features of the desired antenna is the realization of circular polarization in a high percentage of the operational bandwidth 1.5–3.3 GHz. The radiation patterns of the orthogonal planes E-field and H-field along with the left-handed and right-handed circular polarization patterns for the desired antenna have been extracted and analyzed. A three-dimensional structure in the form of stacked stepped disks (SSD) is introduced to increase overall performance of antenna. There is an acceptable similarity between the E-field and H-field page patterns, which shows the accuracy of the design process. On the other hand, for studying the circular polarization, left-handed and right-handed patterns based on the main beam direction and orthogonal polarization level have acceptable performance. The maximum overall gain of the antenna in the designed frequency band is near to 13 dB.

Stock-market effectiveness in attracting and retaining firms under public ownership depends not only on stand-alone firms’ net listing benefits but also on gains from merging with a public acquirer. Using a novel merger-adjusted listing count, we show that the dramatic (≈50%) post-1996 U.S. listing decline—often attributed to declining listing benefits—is reversed as the “missing” firms de facto continue existing inside their public acquirers. Our merger adjustment also eliminates the U.S. listing gap, pointing instead to a distinct U.S. listing advantage: providing access to a well-functioning market for complex merger transactions.

Increasing evidence shows that maternal hyperglycemia inhibits cardiomyocyte (CM) proliferation and promotes cell apoptosis during fetal heart development, which leads to cardiac dysplasia. Accumulating evidence suggests that the overexpression of miR-21 in CMs has a protective role in cardiac function. Therefore, we investigated whether miR-21 can rescue CM injury caused by high glucose. First, we performed biological function analysis of miR-21-5p overexpression in H9c2 cells treated with high glucose. We found that the proliferation of H9c2 cells treated with high glucose decreased significantly and was rescued after overexpression of miR-21-5p. CCK-8 and EdU incorporation assays were performed to assess cell proliferation. The cell proliferation of the miR-21-5p mimic transfection group was improved compared with that of the NC mimic group (*p < 0.05, miR-21-5p mimics vs. NC mimics) when the proliferation of H9c2 cells was reduced by high glucose (****p < 0.0001, high glucose (HG) vs. normal glucose (NG)). Then, we verified the targeted and negative regulation of miR-21-5p on Rhob using a dual-luciferase activity assay and RT-qPCR, respectively. We further demonstrated that miR-21-5p regulates Rhob to rescue the inhibition of CM proliferation induced by high glucose. The CCK-8 results showed that the cell proliferation of the siRNA-Rhob group was higher than that of the NC mimic group (***p < 0.001) and that of the cotransfection group with Up-Rhob plasmids and miR-21-5p mimics was lower than that of the miR-21-5p mimic group (*p < 0.05). Conclusion: Overexpression of miR-21-5p rescues the inhibition of high glucose-induced CM proliferation through regulation of Rhob.

Future smart reconfigurable antennas (RAs) (Haupt R-L and Lanagan M (2013) Reconfigurable antennas. IEEE Antennas and Propagation Magazine 55, 49–61) will likely be fully multipurpose and controlled by software and equipped with machine learning skills that can discern and respond to alterations in the radio frequency environment. Cognitive radio utilizations will be accomplished using a new generation of antenna technology and communication protocols. The effective use of frequencies and the use of polarization diversity and radiation pattern reconfigurability to send data over existing congested frequencies will be major advantages for such applications. The usage of antennas that can be reconfigured in multiple-input multiple-output (MIMO) channels will enhance channel capacity while simultaneously improving channel efficiency and lowering costs (Christodoulou C-G, Tawk Y, Lane S-A and Erwin S-R (2012) Reconfigurable antennas for wireless and space applications. Proceedings of the IEEE 100, 2250–2261). There are a lot of antennas used both at the transmitter and at the receiver front end in a MIMO system. The benefit of employing such arrangements is that different types of information can be conveyed at a similar time, boosting the spectral efficiency of communication in a multipath situation. The coding rate, modulation level, and transmission signaling method of a MIMO system can all be changed in response to changing channel circumstances and user needs. In a MIMO context, polarization reconfigurable/frequency-reconfigurable/radiation pattern RA increase the degree of freedom and enhancing the system’s performance. The usage of such antennas greatly enhances capacity by enabling a choice of various polarization configurations and pattern diversity. Antenna arrays that can be reconfigured are also an appealing MIMO system solution that needs to retain robust communication channels, particularly in portable gadgets where the area is limited.

This article adopts a critical approach towards scholarship seeking to identify binding due diligence obligations for States in cyberspace. The article demonstrates that due diligence obligations are anchored in specific primary rules and are not a universal standalone source from which it is possible to derive binding obligations for all areas of activity. The consensus position of States in United Nations fora clearly determines that due diligence in cyberspace is a voluntary, non-binding norm of responsible State behaviour, and there is currently insufficient State practice and opinio juris to support the development of a customary rule containing binding due diligence obligations in cyberspace. Consequently, the article concludes that attempts to establish binding due diligence obligations in cyberspace constitute lex ferenda that may be understood as an interventionist attempt by scholars to fill what they perceive to be dangerous legal gaps.

Sociolinguistic research has begun to critique the generalised view of cosmopolitanism as indexed by the use of global and non-local languages and urge us to explore its variety and complexity as situated and dialogical practices. This article answers this call by examining how cosmopolitanism is localised in place talk. Drawing from a larger ethnographic study of language, space, and cosmopolitanism in Shanghai, the analysis focuses on how participants evoke, compare, and evaluate the semiotic landscapes of this Chinese megalopolis. While competing notions of cosmopolitanism emerge during the research interviews, stances taken towards them also perform divergent relationships to the city. This article thus demonstrates how, instead of being a binary opposition, cosmopolitan landscape is discursively reappropriated for the construction of local identities. It contributes to our understanding of how cosmopolitanism is reterritorialised in urban space. (Cosmopolitanism, semiotic landscape, stance, place talk, place-identity, Shanghai)*

A Polish space is not always homeomorphic to a computably presented Polish space. In this article, we examine degrees of non-computability of presenting homeomorphic copies of compact Polish spaces. We show that there exists a $\mathbf {0}'$-computable low$_3$ compact Polish space which is not homeomorphic to a computable one, and that, for any natural number $n\geq 2$, there exists a Polish space $X_n$ such that exactly the high$_{n}$-degrees are required to present the homeomorphism type of $X_n$. Along the way we investigate the computable aspects of Čech homology groups. We also show that no compact Polish space has a least presentation with respect to Turing reducibility.

We compute $ku^*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$ and $ku_*\left(K\!\left({\mathbb{Z}}_p,2\right)\right)$, the connective $KU$-cohomology and connective $KU$-homology groups of the mod-$p$ Eilenberg–MacLane space $K\!\left({\mathbb{Z}}_p,2\right)$, using the Adams spectral sequence. We obtain a striking interaction between $h_0$-extensions and exotic extensions. The mod-$p$ connective $KU$-cohomology groups, computed elsewhere, are needed in order to establish higher differentials and exotic extensions in the integral groups.

Living life on a poverty income remains commonplace in most modern welfare states. A growing literature highlights the impact on individuals, families, and communities of poverty, costs that are both current to the experience and reflecting its scarring effects. A further cost, one that is frequently hidden, is the cumulative and recurring public expenditure associated with policy responses to poverty. These costs derive from the identification of poverty as a determining factor in the need for, and demand for, a wide range of public services. Estimating the nominal value of these costs, based on an assessment of public expenditure in one EU-15 state, Ireland, is the focus of this article. The findings establish annual costs of between €3bn-€7bn and highlight for all members of society, whether above or below the poverty line, the recurring public expenditure costs incurred by society as a result of poverty.

This research explored the impact of informal learning (IL) in primary music initial teacher training. A small group of undergraduate student teachers had an opportunity to learn about and facilitate an IL approach. Data were collected from interviews, participant reflective logs and researcher reflections. The findings show that perceived benefits included freedom for serendipity, pupil autonomy and aural learning; perceived tensions included student teacher anxiety and a lack of teacher control. The researchers propose two aspects for consideration: first, that language associated with IL has social meaning that must be updated; second, that while direct instruction remains at the heart of primary teacher education, IL can continue to be justified despite the current emphasis on direct explicit teaching.