To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic, classical results) and focuses on sieve methods. This area has witnessed a number of major advances in recent years, e.g. gaps between primes, large values of Dirichlet polynomials and zero density estimates, all of which feature here. Despite the fact that the book can serve as an entry to contemporary mathematics, it remains largely self-contained, with appendices containing background or material more advanced than undergraduate mathematics. Again, exercises, of which there is a profusion, illustrate the theory or indicate ways in which it can be developed. Each chapter ends with a thorough set of references, which will be essential for all analytic number theorists.
With the introduction of tetflupyrolimet as the first herbicide with a novel site of action in the last three decades, screening for herbicide resistance before commercialization has become integral to ensure successful applications. In the mid-southern United States, tetflupyrolimet is anticipated to be used as a preemergence (PRE) herbicide for barnyardgrass control but does exhibit postemergence (POST) herbicidal activity. In 2020, 45 Echinochloa crus-galli (barnyardgrass) accessions were collected from rice-producing areas in Arkansas and were screened in the greenhouse to tetflupyrolimet at 134 g ai ha-1 PRE and POST at the 2- to 3-leaf growth stage on a silt loam soil. A field experiment was conducted where tetflupyrolimet was applied alone at 134 g ai ha-1 or with clomazone at 336 g ai ha-1, to a susceptible barnyardgrass standard and four other accessions with confirmed resistance to florpyrauxifen-benzyl, imazethapyr, propanil, and quinclorac at the spiking, 1-, 2-, 3-, and 4-leaf stages. For the PRE screening, the percent visible control ranged from 88% to 99%, with some accessions differing in sensitivity to tetflupyrolimet. Percent mortality ranged from 47% to 90% at the PRE timing. Visible control and mortality ranged from 63% to 88% and 7% to 65%, respectively, from a POST application, suggesting there is differential sensitivity and that foliar applications may not be as effective as soil applications. In the field experiment, barnyardgrass accession did not influence POST biomass production and was impacted more by the growth stage at application, although the difference was frequently numerical. In general, applying tetflupyrolimet alone or with clomazone to ≥3 leaf grass compromised performance. Tetflupyrolimet will be better optimized as a soil-applied herbicide in mid-southern U.S. rice culture.
This paper puts forward a theoretically derived measure of firm-level political influence defined over a sample of firms from a diverse set of countries, permitting new inferences into state-business relations. We derive this measure from original surveys of 27,613 firms in 41 countries, which include information on several interactions with political actors. Using a Bayesian item response theory measurement model that incorporates non-ignorable missing data, we estimate influence scores that incorporate survey data on diverse mechanisms by which firms attempt to obtain influence. From the measurement model, we learn that membership in a business association contains the most positive information about a firm’s influence, while bribes, state ownership, firm size, and a reliance on collective lobbying tend to be substitutes for influence in equilibrium. Empirically, we are able to show for the first time how such influence is distributed across different types of political regimes using a measurement model, leading to intriguing hypotheses about how the costs and benefits of political activity structure corporate influence-seeking.
Relationships between teachers and students are a focus of both developmental and educational science, with implications for policies and experiences that affect millions of students globally. These relationships can be measured through various methods and have unique value for students’ learning and development, and they can be improved systematically. The study of teacher–student relationships confirms the value of adult–child relationships in human development more generally, with evidence of links to mechanisms of differential susceptibility and other broad developmental phenomena. Additional scientific efforts to understand the co-regulating linkages among social settings in classrooms, dyadic processes between teachers and students, and their respective individual developmental capacities hold promise for advancing developmental theory and its application in educational contexts.
We examine the circular, self-similar expansion of frictional rupture due to fluid injected at a constant rate. Fluid migrates within a thin permeable layer parallel to and containing the fault plane. When the Poisson ratio $\nu =0$, self-similarity of the fluid pressure implies fault slip also evolves in an axisymmetric, self-similar manner, reducing the three-dimensional problem for the evolution of fault slip to a single self-similar dimension. The rupture radius grows as $\lambda \sqrt {4\alpha _{hy} t}$, where $t$ is time since the start of injection and $\alpha _{hy}$ is the hydraulic diffusivity of the pore fluid pressure. The prefactor $\lambda$ is determined by a single parameter, $T$, which depends on the pre-injection stress state and injection conditions. The prefactor has the range $0\lt \lambda \lt \infty$, the lower and upper limits of which correspond to marginal pressurisation of the fault and critically stressed conditions, in which the fault-resolved shear stress is close to the pre-injection fault strength. In both limits, we derive solutions for slip by perturbation expansion, to arbitrary order. In the marginally pressurised limit ($\lambda \rightarrow 0$), the perturbation is regular and the series expansion is convergent. For the critically stressed limit ($\lambda \rightarrow \infty$), the perturbation is singular, contains a boundary layer and an outer solution, and the series is divergent. In this case, we provide a composite solution with uniform convergence over the entire rupture using a matched asymptotic expansion. We provide error estimates of the asymptotic expansions in both limits and demonstrate optimal truncation of the singular perturbation in the critically stressed limit.
A practical and interdisciplinary guide to creating liveable, circular economy cities. Practical strategies enhance the book's theoretical exploration of circular economies, providing a solution-oriented perspective on creating more resilient, environmentally sustainable and liveable cities. The chapter authors offer interdisciplinary perspectives on the transformative potential of circular economies when incorporating ecological and social aspects with innovative technologies. The topics covered range from sustainable agriculture and water management to renewable energy and environmental justice. Case studies of cities from around the world promote effective best practices in circular economy implementations across diverse cities, including Tokyo, Singapore, New York, Vancouver, Sydney, the Hague, Barcelona, and Stockholm. This book introduces and discusses the 5R framework - Reduce, Reuse, Recycle, Restore, Recover - as a guiding principle, elaborating its applications across various urban sectors. This book is indispensable for advanced students, researchers, city planners, and policymakers working in urban planning and sustainable development.
This chapter explores urban nature-based solutions (NBSs) as an essential strategy for creating circular and liveable cities. NBSs leverage natural processes and ecosystems to address various urban challenges, including climate change adaptation, biodiversity loss, water management, and urban resilience. The chapter highlights how NBS can transform cities into more sustainable, resource-efficient environments while offering social, economic, and environmental benefits. Key urban NBSs discussed include green roofs, green walls, community gardens, permeable pavements, bioswales, urban forests, and constructed wetlands. These solutions not only contribute to mitigating the effects of urbanisation but also improve air and water quality, reduce the urban heat island effect, and enhance biodiversity. By integrating nature into urban planning, cities can become more resilient to extreme weather events and better equipped to manage natural resources sustainably. The chapter further emphasises the importance of policy frameworks and financial incentives to encourage the widespread adoption of NBS. Case studies from global cities illustrate the successful implementation of NBS and their positive impact on urban liveability. Ultimately, NBSs are a powerful tool in the circular economy framework, fostering healthier, greener, and more liveable cities that support both people and the planet.
This chapter explores the transition from the traditional linear economy, defined by the ‘take–make–dispose’ model, to a circular economy, with a focus on its application in creating liveable cities. With global material consumption and urbanisation increasing, cities are facing significant challenges, including resource scarcity, environmental degradation, and growing emissions. The circular economy offers a sustainable solution by promoting resource efficiency through recycling, reusing, and regenerating materials. This approach aims to decouple economic growth from resource consumption, enhancing urban resilience and sustainability. The chapter also highlights the role of circular economy practices in improving liveability within cities. By integrating circular principles into areas such as transportation, energy systems, water management, and the built environment, cities can reduce congestion, air pollution, and waste while promoting healthier urban living environments. The 5R framework – reduce, reuse, recycle, restore, and recover – is introduced as a core strategy for embedding circularity into city functions. Additionally, the chapter identifies key enablers, such as government policies, digital technology, and public engagement, that support the circular transition. Through these measures, cities can become sustainable, resilient hubs of innovation and prosperity, balancing economic growth with environmental protection and improving the quality of life for their residents.
This chapter delves into circular urban agriculture, examining strategies for sustainable food production in rapidly growing cities. As urbanisation accelerates, cities face the challenge of feeding an estimated nine billion people while minimising the environmental impact of agriculture. Traditional agricultural practices contribute to resource depletion and pollution, making a circular approach essential for sustainable urban development. Circular urban agriculture integrates resource efficiency by using waste streams, conserving water, and minimising inputs like soil and fertilisers. The chapter discusses various urban farming methods, including rooftop gardens, vertical farming, hydroponics, and community gardens. These practices can increase local food production while reducing the environmental footprint of cities. Water conservation and recycling are emphasised as critical components of circular urban agriculture. Strategies such as drip irrigation, greywater reuse, and rainwater harvesting help reduce reliance on municipal water supplies, lower operational costs, and promote sustainability. The chapter also highlights resource recovery, particularly through nutrient recycling and the use of biosolids, to enhance soil quality and increase agricultural productivity. By adopting circular practices, cities can support local food production, improve resource efficiency, and contribute to urban resilience, all while fostering community relationships and reducing the environmental impact of traditional agricultural systems.
This chapter outlines the best practices and strategies for cities to transition towards becoming circular and liveable. It emphasises the importance of adopting circular economy principles across various urban sectors, including waste management, energy efficiency, transportation, and urban agriculture. By applying the 5R approach – reduce, reuse, recycle, restore, and recover – cities can decouple economic growth from environmental degradation and create more sustainable urban environments. The chapter presents actionable strategies, such as implementing energy-efficient financing for building retrofits, promoting water reuse through grant programmes, and creating comprehensive electronic waste collection and disposal systems. It also emphasises the role of public participation and stakeholder collaboration in driving circular initiatives, highlighting the Quadruple Helix model, which involves academia, industry, government, and civil society working together to foster innovation. Additionally, the chapter explores the integration of nature-based solutions, sustainable infrastructure, and urban resilience practices. Case studies from cities like Amsterdam, Paris, and Copenhagen showcase successful examples of circular business models and governance frameworks that contribute to sustainability. Finally, the chapter presents a roadmap for moving forward, focusing on education, policy innovation, and community engagement as critical components for building resilient, circular cities that prioritise both environmental sustainability and social equity.
This chapter focuses on urban water demand management, a critical strategy for enhancing water security in growing cities. Traditional water management has relied on supply-side solutions, such as large-scale infrastructure projects like dams and reservoirs. However, these solutions are often costly, environmentally damaging, and politically contentious. In contrast, demand-side management seeks to reduce water consumption and optimise existing water resources, making it a more sustainable and cost-effective approach. Urban water demand management aims to change societal behaviours, attitudes, and practices towards water use. By implementing water conservation strategies, urban managers can decouple water demand from economic and population growth, reducing pressure on municipal water supplies. The chapter explores various demand management tools, including pricing mechanisms, water trading, metering, active leak detection, and alternative water supplies like rainwater harvesting and greywater systems. Additionally, the chapter highlights the importance of public education, communication, and stakeholder engagement in fostering a culture of water conservation. By utilising a portfolio of regulatory, technological, and communication-based instruments, cities can manage water demand more effectively, improve water security, and reduce the environmental impact of urban growth. Ultimately, demand management is essential for creating resilient urban water systems in the face of climate change and increasing population pressures.
In qualitative research interviews, participants sometimes relate vivid, ethically charged accounts of their lifeworlds. However, the genre constraints of the interview discourage interviewers from expressions of direct affiliation (agreement, approval, disapproval) with the interviewee’s moral stances and rather encourage expressions of conversational alignment (attention, interest, comprehension) to keep the information flowing. Interviewees for their part may prefer and make a bid for more engagement from interviewers. We examine the affordances and constraints of the research interview and the discursive practices available to interviewees for ‘doing moral action’ in the interview: constructing their moral identities, describing their moral worlds, evaluating others, and attempting to more fully engage their interviewers. In the latter, interviewees employ a discursive ‘recruitment to action’ exercised subtly and indirectly by linguistically calibrating the space-time of their moral narratives to accord with the space-time of the interview and indexing their stories to transcendent norms and timeless truths. (Narrative analysis, indexicality, disaster, research interview, semistructured interview, social science interview, morality, ethics, nomic calibration).