Strongly non embeddable metric spaces

Enflo constructed a countable metric space that may not be uniformly embedded into any metric space of positive generalized roundness. Dranishnikov, Gong, Lafforgue and Yu modified Enflo's example to construct a locally finite metric space that may not be coarsely embedded into any Hilbert space. In this paper we meld these two examples into one simpler construction. The outcome is a locally finite metric space $(\mathfrak{Z}, \zeta)$ which is strongly non embeddable in the sense that it may not be embedded uniformly or coarsely into any metric space of non zero generalized roundness. Moreover, we show that both types of embedding may be obstructed by a common recursive principle. It follows from our construction that any metric space which is Lipschitz universal for all locally finite metric spaces may not be embedded uniformly or coarsely into any metric space of non zero generalized roundness. Our construction is then adapted to show that the group $\mathbb{Z}_\omega=\bigoplus_{\aleph_0}\mathbb{Z}$ admits a Cayley graph which may not be coarsely embedded into any metric space of non zero generalized roundness. Finally, for each $p \geq 0$ and each locally finite metric space $(Z,d)$, we prove the existence of a Lipschitz injection $f : Z \to \ell_{p}$.Comment: 10 page

Constructing Israeli and Palestinian Identity: A Multimodal Critical Discourse Analysis of World History Textbooks and Teacher Discourse

 This research critically evaluates the depiction of Israelis and Palestinians in World History textbooks and World History teachers’ instructional discourse. Employing a Multimodal Critical Discourse Analysis methodology, offers a comparison between written narratives and spoken discourse in order to analyze the portrayals found in classrooms. This research found that Israelis and Palestinians are almost entirely depicted in relation to war and conflict. This establishes parameters for the ways either population can be characterized while obscuring substantive recognition of either community’s diversity and cultural identities.

Deconstructing otherness: social studies teachers' classroom discursive representations of African and Middle Eastern populations

This Critical Discourse Analysis examined the classroom discourse of six secondary social studies teachers during lessons dedicated to the study of Africa and the Middle East. The study focused on the phenomenon of otherness and the ways in which teachers contribute to or challenge the depiction of various African and Middle Eastern populations as the other. The study found that no normative discourse existed within or across classrooms whereby teachers consistently portrayed African or Middle Eastern populations as the other. Teacher employed multiple contending discourses that both promoted perceptions of otherness while also explicitly challenging and deconstructing such notions. The study found that teachers tend to frame the study of Africa and the Middle East around narratives of conflict. These narratives restrict the classifications available for understanding certain communities and reinforce associations of violence, radicalism, and terrorism with Africa and the Middle East

Review: Muslims and Islam In U.S. Education: Reconsidering Multiculturalism

This review examines the work of Liz Jackson in her study of the ways Muslims and Islam are treated in public schools in the United States. The review examines the major themes, arguments, and evidence offered by Jackson and additionally offers an evaluation of the work

Water and the UN sustainable development goals

Water is essential for life, but we need to balance human needs with those of the environment on which we depend for our wellbeing, our health and much of our wealth. Not all of us are lucky enough to have access to adequate water resources and services linked to water, such as readily available low-cost drinking water and sanitation systems. According to the World Health Organization and United Nations Children’s Fund (WHO/UNICEF), hundreds of millions of people are still without access to safely managed drinking water and sanitation services. Their Joint Monitoring Programme (JMP) report, Progress on Drinking Water, Sanitation and Hygiene 2000–2020, found that although considerable progress has been made in achieving universal access to basic water services, the proportion of improved water sources that are accessible, available and free from contamination varies widely between countries. This indicates that many countries are facing a challenge to meet the Sustainable Development Goal (SDG) target for safely managed services. In addition, despite increasing the rural coverage of safely managed water services in some countries, and in other countries this coverage is similar to the urban coverage, there is a huge gap in terms of water quality. Many aquatic ecosystems (freshwater, brackish and oceanic) also are under threat with knockon consequences for humanity. Large quantities of inadequately treated or untreated wastewater are still being discharged into our surface, ground and coastal waters. The WHO reports that at least 2 billion people globally consume water from a source contaminated with faeces. Faecal contamination in the water supply system, whether rudimentary or complex, is a major cause of infectious diseases such as cholera, typhoid fever, diarrhoea, dysentery, hepatitis A and polio. As a result, 1.2 million people die every year from water related diseases. According to the Global Water Institute, in low- and middle-income countries, almost 50% of the population can link health problems to waterborne diseases. In addition, emergent pollutants such as microplastics, antibiotics, per- and polyfluoroalkyl substances (PFAS) and their degradation products found in water sources and in the environment pose a health risk to humans and animals

The Effect of Bisphenol C on Dania Rerio Immune Development

Undergraduate Basi

Assessing and Improving the Ecological Function of Linear Parks Along the Lower Los Angeles River Channel, Los Angeles County, California, US

Long overlooked by conservation groups and ecologists, urban open spaces are now seen as important contributors to biodiversity at various scales. Urban greenspaces often represent the only “nature” millions of human residents around the world ever interact with, and provide cooling and aesthetic relief from the urban hardscape. In the Los Angeles Metropolitan area, over the past three decades, non-profit advocacy groups and institutions have established a network of bike paths, neighborhood access points, habitat restoration, and recreational amenities along the Los Angeles River, a major urban waterway. We investigated the environmental contribution provided by numerous linear landscaped parks along the river, focusing on climate amelioration (i.e., cooling within heat islands) in the parks and surrounding neighborhoods, and on their contribution to local biodiversity, utilizing an indicator species approach. We conducted plant surveys of the parks, documenting locally native, non-local California native, and non-native species, and examined the occurrence of 15 riparian indicator species of wildlife in the parks and in 500-meter buffer zones surrounding each park utilizing citizen science data. We then explore correlations between indicator species richness and environmental variables. We note important occurrences of relict riparian vegetation in several linear parks, as well as both planted and naturally-occurring special-status plant and wildlife species. Finally, we discuss challenges to managing natural habitat in highly-urban parks, many of which support important relict vegetation and/or special-status species, and offer suggestions on how they may be improved

Curvature formula for the space of 2-d conformal field theories

We derive a formula for the curvature tensor of the natural Riemannian metric on the space of two-dimensional conformal field theories and also a formula for the curvature tensor of the space of boundary conformal field theories.Comment: 36 pages, 1 figure; v2 references adde