EXPRESS: People’s Preferences for Different Types of Rational Numbers in Linguistic Contexts

Rational numbers, like fractions, decimals, and percentages, differ in the concepts they prefer to express and the entities they prefer to describe as previously reported in display-rational number notation matching tasks and in math word problem compiling contexts. On the one hand, fractions and percentages are preferentially used to express a relation between two magnitudes, while decimals are preferentially used to represent a magnitude. On the other hand, fractions and decimals tend to be used to describe discrete and continuous entities, respectively. However, it remains unclear whether these reported distinctions can extend to more general linguistic contexts. It also remains unclear which factor, the concept to be expressed (magnitudes vs. relations between magnitudes) or the entity to be described (countable vs. continuous), is more predictive of people’s preferences for rational number notations. To explore these issues, two corpus studies and a number notation preference experiment were administered. The news and conversation corpus studies detected the general pattern of conceptual distinctions across rational number notations as observed in previous studies; the number notation preference experiment found that the concept to be expressed was more predictive of people’s preferences for number notations than the entity to be described. These findings indicate that people’s biased uses of rational numbers are constrained by multiple factors, especially by the type of concepts to be expressed, and more importantly, these biases are not specific to mathematical settings but are generalizable to broader linguistic contexts.

Manila

The focus of this article is on Metropolitan Manila (or simply Manila), a region spanning 619 square kilometers and comprising sixteen cities and one municipality: specifically, the cities of Caloocan, Las Piñas, Malabon, Manila, Mandaluyong, Marikina, Makati, Muntinlupa, Navotas, Quezon City, Parañaque, Pasay, Pasig, San Juan, Taguig, and Valenzuela, and the municipality of Pateros. Metro Manila was constituted by presidential decree in 1975, but its constituent cities are significantly older. It is the Philippines’ largest urban area, with a population of about thirteen million in 2015, as well as the country’s economic core, producing 37.5 percent of the national gross national product (GDP). Socially and spatially, however, it is not at all like the rest of the country, given its relative wealth and spectacular inequality—the latter owing less to the extent of inequality than to its spatial organization, a particularly intensive form of class segregation where upper- and middle-class residential and commercial enclaves abut the informal settlements of the urban poor as a general pattern. This landscape took shape as a result of four processes: rapid population growth beginning in the 1950s and 1960s, monumental city-building under the Marcos regime, democratization, and urban restructuring in the 1990s and 2000s. These processes constituted what are perhaps the city’s two main social actors, the urban poor and middle class. These labels are more conventional than accurate. Most of the “urban poor” are not poor by official standards, and the term “middle class” is much too vague. These groups find definition relationally, particularly in space, as “squatters” (slum dwellers) and “villagers” (enclave residents). This division, while fundamentally spatial, elaborated around the divide between formal and informal housing, has become the most important social division in the city since the late 20th century. Hence this article considers each group in some depth. While Metro Manila’s importance to the Philippines is clear, lamentably it has been largely overlooked as a source of urban theory. Manila provides an example par excellence of “late urbanization.” Analytically, it belongs with a set of cities in Latin America and Southeast Asia having undergone rapid population growth in the mid-20th century, resulting in urban landscapes distinguished by precarious work and informal housing. Second, it represents a particularly vivid case of urban space and social relations being restructured by market forces. The commodification of land and labor has proceeded relatively unimpeded in Manila, and class dynamics have crystallized in space relatively uncomplicated by racial and ethnic, religious, and other lines of division. As a result, class contention is especially intense, and class segregation is extreme. We might see in this landscape one possible urban future.

Complementary Approaches to Assess Phytoplankton Groups and Size Classes on a Long Transect in the Atlantic Ocean

Phytoplankton biomass, through its proxy, Chlorophyll a, has been assessed at synoptic temporal and spatial scales with satellite remote sensing (RS) for over two decades. Also, RS algorithms to monitor relative size classes abundance are widely used; however, differentiating functional types from RS, as well as the assessment of phytoplankton structure, in terms of carbon remains a challenge. Hence, the main motivation of this work it to discuss the links between size classes and phytoplankton groups, in order to foster the capability of assessing phytoplankton community structure and phytoplankton size fractionated carbon budgets. To accomplish our goal, we used data (on nutrients, photosynthetic pigments concentration and cell numbers per taxa) collected in surface samples along a transect on the Atlantic Ocean, during the 25th Atlantic Meridional Transect cruise (AMT25) between 50° N and 50° S, from nutrient-rich high latitudes to the oligotrophic gyres. We compared phytoplankton size classes from two methodological approaches: (i) using the concentration of diagnostic photosynthetic pigments, and assessing the abundance of the three size classes, micro-, nano-, and picoplankton, and (ii) identifying and enumerating phytoplankton taxa by microscopy or by flow cytometry, converting into carbon, and dividing the community into five size classes, according to their cell carbon content. The distribution of phytoplankton community in the different oceanographic regions is presented in terms of size classes, taxonomic groups and functional types, and discussed in relation to the environmental oceanographic conditions. The distribution of seven functional types along the transect showed the dominance of picoautotrophs in the Atlantic gyres and high biomass of diatoms and autotrophic dinoflagellates (ADinos) in higher northern and southern latitudes, where larger cells constituted the major component of the biomass. Total carbon ranged from 65 to 4 mg carbon m–3, at latitudes 45° S and 27° N, respectively. The pigment and cell carbon approaches gave good consistency for picoplankton and microplankton size classes, but nanoplankton size class was overestimated by the pigment-based approach. The limitation of enumerating methods to accurately resolve cells between 5 and 10 μm might be cause of this mismatch, and is highlighted as a knowledge gap. Finally, the three-component model of Brewin et al. was fitted to the Chlorophyll a (Chla) data and, for the first time, to the carbon data, to extract the biomass of three size classes of phytoplankton. The general pattern of the model fitted to the carbon data was in accordance with the fits to Chla data. The ratio of the parameter representing the asymptotic maximum biomass gave reasonable values for Carbon:Chla ratios, with an overall median of 112, but with higher values for picoplankton (170) than for combined pico-nanoplankton (36). The approach may be useful for inferring size-fractionated carbon from Earth Observation.

The effect of latent and error non-normality on corrections to the test statistic in structural equation modeling

In structural equation modeling, several corrections to the likelihood-ratio model test statistic have been developed to counter the effects of non-normal data. Previous robustness studies investigating the performance of these corrections typically induced non-normality in the indicator variables. However, non-normality in the indicators can originate from non-normal errors or non-normal latent factors. We conducted a Monte Carlo simulation to analyze the effect of non-normality in factors and errors on six different test statistics based on maximum likelihood estimation by evaluating the effect on empirical rejection rates and derived indices (RMSEA and CFI) for different degrees of non-normality and sample sizes. We considered the uncorrected likelihood-ratio model test statistic and the Satorra–Bentler scaled test statistic with Bartlett correction, as well as the mean and variance adjusted test statistic, a scale-shifted approach, a third moment-adjusted test statistic, and an approach drawing inferences from the relevant asymptotic chi-square mixture distribution. The results indicate that the values of the uncorrected test statistic—compared to values under normality—are associated with a severely inflated type I error rate when latent variables are non-normal, but virtually no differences occur when errors are non-normal. Although no general pattern regarding the source of non-normality for all analyzed measures of fit can be derived, the Satorra–Bentler scaled test statistic with Bartlett correction performed satisfactorily across conditions.

The various dose-dependent effect of selenium oxide and copper oxide nanoparticles in vitro and application of the hormesis paradigm

Introduction. In vitro studies on a culture of cardiomyocytes have shown that dose-response relationships could be monotonic for some effects and non-monotonic for others. In this work, we wanted to demonstrate that these features of the dose-response relationship are a general pattern. Materials and methods. In vitro experiments were conducted on the culture of human fibroblast-like cells FLECH-104. The cytotoxicity of spherical nanoparticles of selenium oxide (SeO-NP) and copper oxide (CuO-NP) was studied with an average diameter of 51 ± 14 nm and 21 ± 4 nm, respectively. Results. SeO-NP and CuO-NP were cytotoxic for human fibroblast-like cells, as judged by a decrease in ATP-dependent luminescence. In this case, the cytotoxicity of CuO-NP was somewhat more substantial than the SeO-NP one. Our experiment revealed doses that cause both cell hypertrophy and a decrease in the size of cells and nuclei. Discussion. We observed both monotonic and different variants of the non-monotonic dose-response relationship. For the latter, it was possible to construct adequate mathematical expressions based on the generalized hormesis paradigm that we had considered earlier concerning the CdS-NP and PbS-NP cytotoxicity for cardiomyocytes. Conclusion. The general rule is the variability of the dose-response dependence types manifested in different cytotoxic effects of nanoparticles.

The Impact of Traffic and Meteorology on Urban Particle Mass and Particle Number Concentrations: Student-Led Studies Using Mobile Measurements before, during, and after the COVID-19 Pandemic Lockdowns

A series of student-led research activities were performed using a cargo bicycle equipped with air chemistry instrumentation to study the dynamics of aerosol particles in urban air before, during, and after the COVID-19 lockdown periods. The studies examined a high-traffic route and a low-traffic route around the city center of Münster, Germany. A complex picture emerged for how the particle number concentrations (PN) and particle mass concentrations (PM, specifically PM10) were affected by the day of the week, the route selected, the meteorological conditions, and the traffic intensity. Traffic had the most impact on PN through the multitude of exhaust plumes from motorized vehicles. The impact of traffic on PM10 was rather low, which is also mirrored in the general pattern of the low response of PM10 to the pandemic lockdown in Germany. Instead, PM10 responded more to the day of the week. Presumably, PM10 responds either to a specific traffic component, such as commercial low-duty vehicles, or to other business, such as construction activity. Meteorological conditions exert their impact mostly through the relative humidity, which affects particle growth. As such, future research could examine PN and PM10 responses over all seasons of the year. In any case, this student-led study in which high-resolution data were acquired deepened our understanding and broadened our view on particle dynamics in urban air. Well-trained university graduates will contribute to meeting further challenges in studying and combatting air pollution.

Features and patterns of changes in neurochemical parameters at different stages of chronic mercury intoxication

Introduction. At present, the features of the clinical picture and pathogenesis of the formation and progression of chronic intoxication under the influence of mercury remain insufficiently studied. Purpose. To study the features and patterns of changes in the neurotransmitters and neurotrophic factors concentration at different stages of chronic mercury intoxication (CMI). Materials and methods. A cohort examination of 69 workers (group 1) exposed to mercury, 18 individuals in the initial period of CMI (group 2), and 55 patients in the long-term period (group 3) were carried out. The content of neurotransmitters and neurotrophic factors was determined by enzyme immunoassay. The statistical processing included Wilcoxon, Kruskal-Wallis and Mann-Whitney tests. Results. Higher levels of histamine were found in group 2, low levels of metanephrine in group 1, and normetanephrine in group 3. An increase in the BDNF concentration was revealed in group 2 compared with groups 1 and 3. The content of neurotrophin-3 in group 3 was statistically significantly lower than in group 2. Conclusion. The general pattern for all stages is an increase in the norepinephrine and CNTF concentration. Mercury neurointoxication at all stages is characterized by high serotonin levels. A distinctive feature for trained workers is a compensatory increase in the normetanephrine level and a low BDNF and NT-3. For the initial period of CMI, an increase in the histamine, BDNF and NT-3 content is characteristic. The long-term period is characterized by an imbalance in the concentration of the studied neurotransmitters and neurotrophic factors.

On the Printed Fragment in Classical Mongolian Script from the Collection of IOM, RAS

The Institute of Oriental Manuscripts of the Russian Academy of Sciences possesses a xylographed fragment in classical Mongolian script with a handwritten text on the reverse side (call mark G 110 recto), which was obtained in 1909 during P. K. Kozlov’s expedition in Khara-Khoto. The printed text in classical Mongolian script with several interlinear glosses in Chinese and a page footer (of the transcription of the Chinese name of the chapter and the page number) was read by the Soviet Orientalist N. Ts. Munkuyev more than 50 years ago. Munkuyev dated it by the XIV century based on the paleographic peculiarities. Moreover, based on the official history Yuan shi, he supposed that the text might be a Mongolian translation of the legislative code Da Yuan tong-zhi and suggested two possible versions of original Chinese name of the chapter, out of which an incorrect one was unfortunately chosen. Since Da Yuan tong-zhi was not preserved in full and the major part of the written monument including the chapters of interest were lost, it was impossible to find the text in scope, and the mistake in the reconstruction of the chapter name also could not be detected. However, in 2002 in South Korea a part of Zhi-zheng tiao-ge code was found, which was promulgated in 1346 and was intended to replace the outdated Da Yuan tong-zhi. In one of his previous articles, the author has shown that both codes were built according to a general pattern elaborated as far back as the Tang epoch (618–907). This enabled reconstruction of the name of the chapter mentioned in the fragment. Fortunately, the surviving part of the Zhi-zheng tiao-ge code contains the required chapters, and the Chinese glosses in the fragment allowed us to find the original Chinese text, which turned out to be a document dated 1303 and, according to the date, was evidently included in both codes. The article also contains the Chinese text of the document and its annotated translation.