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This chapter is meant to be a student’s first introduction to tensors. Self-contained and complete, the student learns how tensors are defined, written, and used. The scalar and vector products are defined along with the physical meaning of the divergence and curl differential operations that act on tensors of any order. The integro-differential theorems are introduced in three dimensions, which include the fundamental theorem of calculus in three dimensions, Stokes’ theorem and the Reynolds’ transport theorem. The student learns how to derive a long list of tensor-calculus product rules that are valid in any coordinate system. The Taylor series in three-dimensional space is derived, which involves tensors of all orders. Functions of second-order tensors are defined. Isotropic tensors of all tensorial orders are obtained and used in proving Curie’s principle for the constitutive laws in an isotropic material. Tensor calculus in orthogonal curvilinear coordinates is developed. Finally, the Dirac delta function is introduced along with its integral and differential properties and uses.
Biodiversity is vital to humanity, and its continued existence cuts across the rights and duties of states and their obligations pursuant to a plethora of international environmental agreements. There is a wide array of international and regional treaties focusing on biodiversity and conservation issues. Several Middle East and North Africa (MENA) countries have signed, ratified, and, in some instances, domesticated some of these treaties into their national legal systems. However, notwithstanding the avalanche of national and international mechanisms on biodiversity, several barriers are militating against the successful implementation of the regime on biodiversity in many MENA countries. This chapter argues that reliance on environmental law education can be one of the strategies to improve the implementation of biodiversity treaties across the MENA region. Drawing salient lessons from emerging best practices on environmental law education across the region, this chapter examines the role of environmental law education in advancing biodiversity and nature conservation. It discusses legal and institutional gaps that hinder the profusion of environmental law education on biodiversity in the MENA region and key reforms necessary to address such gaps.
This chapter provides a conceptual overview of the nature and scope of biodiversity and nature conservation law and policy in the Middle East and North Africa (MENA) region. It explores the different sources of law that underpin biodiversity management in the region. It then discusses the character, status, and force of the different sources, including the interrelationships between them.
Landscapes have a crucial role in bridging nature and culture and are therefore essential for biodiversity and ecosystem integrity preservation. As they are ingrained in regional customs and belief systems, they serve as a useful tool for biodiversity conservation. The Middle East and North Africa (MENA) represents a vast region of many natural and cultural landscapes. This chapter presents the question “what are the causative factors of landscape alterations and potential threats to biodiversity in the MENA region?” An integrative review was conducted to provide actions to promote the development of effective policies and strategies for landscape and biodiversity conservation in the region. The chapter highlights natural/spatial, policy/institutional, socio-economic, technological, and cultural factors as the main influences on land changes in both regions. The chapter highlights priority actions in the areas of increased education and awareness, collaboration, and policy integration to effectively promote landscape and biodiversity conservation in the MENA region.
Grand solar minima are periods spanning from decades to more than a century during which solar activity is unusually low. A cluster of such minima occurred during the last millennium, as evidenced by reductions in the numbers of sunspots observed and coeval increases in cosmogenic isotope production. Prior to the period of instrumental records, natural archives of such isotopes are the only resources available for detecting grand solar minima. Here, we examine the period 433–315 BCE, which saw a sustained increase in the production of the cosmogenic isotope, radiocarbon. Our new time series of radiocarbon data (Δ14C), obtained on cellulose extracted from known-age oak tree rings from Germany, reveal that the rise in production that occurred at this time was commensurate with patterns observed over recent grand solar minima. Our data also enhance, and to a degree challenge, the accuracy of the international atmospheric radiocarbon record over this period.
Introduces readers to the history and legacy of Black homesteading through the story of the Dearfield Colony, established in Colorado prior to the Dust Bowl Era.
The Sagebrush Rebellion provides a backdrop to the story of a notorious ranch in Nevada, where Wayne Hage fought a thirty-year battle over grazing on public lands with the BLM and Forest Service.
The central European loess-paleosol sequence (Marine Oxygen Isotope Stage (MIS) 6–2) at three sites located in northwestern Ukraine, in the transitional area between the oceanic and continental climates, has been studied using micromorphological, grain-size, pollen, and magnetic methods. The sequence is characterized by a well-developed pedocomplex S1 (correlative of MIS 5), comprising four soils, and three interstadial soils within loess L1 (MIS 4–2). The soils of S1 are synsedimentary, indicating a dynamic depositional environment with pulses of aeolian sand sedimentation from late MIS 6 to MIS 5a. From various cryogenic features, the permafrost aggradation for MIS 6, 4, and 2, and deep seasonal freezing for MIS 5d and 5b were reconstructed. Distinct redoximorphic features of the loess units, widespread solifluction, well-developed periglacial phenomena, and very low magnetic susceptibility values for the loess-paleosol sequence of northwestern Ukraine reveal its similarity to those of the central European loess subdomain of the northern European loess belt. The low concentration of ferrimagnetic minerals in the parent material and intensive processes of physical and chemical weathering are reflected in the specific model of magnetic enhancement of the studied sequence, which is transitional between the “Chinese” (pedogenic) and “Alaskan” (reducing-pedogenic) models.