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Relevant bibliographies by topics / Remainder term

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Academic literature on the topic 'Remainder term'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Remainder term"

1

TAKAHASHI, FUTOSHI. "AN ISOPERIMETRIC INEQUALITY WITH REMAINDER TERM." Communications in Contemporary Mathematics 08, no. 03 (2006): 401–10. http://dx.doi.org/10.1142/s0219199706002167.

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We prove a version of the isoperimetric inequality for mappings with remainder term. Let S = (32π)1/3 and Q(u) = ∫R2 u · ux1 ∧ ux2dx for a mapping u : R2 → R3 in a function space [Formula: see text] defined below. Let [Formula: see text] be a set of functions in [Formula: see text] for which we have equality in the classical isoperimetric inequality S|Q(u)|2/3 ≤ ∫R2 |∇u|2dx. We show that for some positive constant C > 0, [Formula: see text] holds for any [Formula: see text]. Here, [Formula: see text] denotes the distance of u from [Formula: see text] in [Formula: see text].

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Dyda, Bartłomiej. "Fractional Hardy inequality with a remainder term." Colloquium Mathematicum 122, no. 1 (2011): 59–67. http://dx.doi.org/10.4064/cm122-1-6.

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Alvino, Angelo, Roberta Volpicelli, and Bruno Volzone. "On Hardy inequalities with a remainder term." Ricerche di Matematica 59, no. 2 (2010): 265–80. http://dx.doi.org/10.1007/s11587-010-0086-5.

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Stănilă, Elena-Dorina. "The Remainder Term in an Optimal Differentiation Formula." Results in Mathematics 53, no. 3-4 (2009): 445–52. http://dx.doi.org/10.1007/s00025-008-0356-7.

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CHANG, XIRONG, FENG DAI, and KUNYANG WANG. "Estimations of the remainder of spherical harmonic series." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 1 (2008): 243–55. http://dx.doi.org/10.1017/s030500410800131x.

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AbstractAn asymptotic estimate is obtained for the error in approximation of functions by partial sums of spherical harmonic expansions. The precise constant in the main term is found and the order of growth of the remainder term is given.

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Roginsky, Allen L. "A central limit theorem by remainder term for renewal processes." Advances in Applied Probability 24, no. 2 (1992): 267–87. http://dx.doi.org/10.2307/1427692.

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Three different definitions of the renewal processes are considered. For each of them, a central limit theorem with a remainder term is proved. The random variables that form the renewal processes are independent but not necessarily identically distributed and do not have to be positive. The results obtained in this paper improve and extend the central limit theorems obtained by Ahmad (1981) and Niculescu and Omey (1985).

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Behncke, Horst. "The remainder term in asymptotic summation of linear difference systems." Journal of Difference Equations and Applications 19, no. 5 (2013): 850–62. http://dx.doi.org/10.1080/10236198.2012.697160.

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Schira, Thomas. "The remainder term for analytic functions of Gauss-Lobatto quadratures." Journal of Computational and Applied Mathematics 76, no. 1-2 (1996): 171–93. http://dx.doi.org/10.1016/s0377-0427(96)00100-8.

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Cuomo, Salvatore, and Adamaria Perrotta. "On best constants in Hardy inequalities with a remainder term." Nonlinear Analysis: Theory, Methods & Applications 74, no. 16 (2011): 5784–92. http://dx.doi.org/10.1016/j.na.2011.05.069.

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Roginsky, Allen L. "A central limit theorem by remainder term for renewal processes." Advances in Applied Probability 24, no. 02 (1992): 267–87. http://dx.doi.org/10.1017/s0001867800047522.

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Three different definitions of the renewal processes are considered. For each of them, a central limit theorem with a remainder term is proved. The random variables that form the renewal processes are independent but not necessarily identically distributed and do not have to be positive. The results obtained in this paper improve and extend the central limit theorems obtained by Ahmad (1981) and Niculescu and Omey (1985).

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Books on the topic "Remainder term"

1

Johanson, Stanley M. Value-shifting arrangements: Sale of remainder interests, split-interest purchases, grantor term trusts. Association of the Bar of the City of New York, 1986.

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United States. Internal Revenue Service., ed. Actuarial values, alpha volume: Remainder, income, and annuity factors for one life, two lives, and term certains; interest rates from 2.2 percent to 26.0 percent; for use in income, estate, and gift tax purposes including valuation of pooled income fund remainder interests. Dept. of the Treasury, Internal Revenue Service, 1989.

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United States. Internal Revenue Service, ed. Actuarial values, book beta: Unitrust remainder, factors for one life, two lives, and term certains : adjusted payout rates from 2.2 percent to 22.0 percent : for use in income, estate, and gift tax purposes. Dept. of the Treasury, Internal Revenue Service, 1999.

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United States. Internal Revenue Service, ed. Actuarial values, book aleph: Remainder, income, and annuity factors for one life, two lives, and terms certain; interest rates from 2.2 percent to 22.0 percent; for use in income, estate, and gift tax purposes including valuation of pooled income fund remainder interests. Dept. of the Treasury, Internal Revenue Service, 1999.

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United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs. Nomination of Edward H. Fleischman: Hearing before the Committee on Banking, Housing, and Urban Affairs, United States Senate, Ninety-ninth Congress, first session, on the nomination of Edward H. Fleischman of New Jersey, to be a member of the Securities and Exchange Commission for the remainder of the term expiring June 5, 1987, Vice James C. Treadway, Jr., resigned, November 14, 1985. U.S. G.P.O., 1986.

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United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs. Nomination of Edward H. Fleischman: Hearing before the Committee on Banking, Housing, and Urban Affairs, United States Senate, Ninety-ninth Congress, first session, on the nomination of Edward H. Fleischman of New Jersey, to be a member of the Securities and Exchange Commission for the remainder of the term expiring June 5, 1987, Vice James C. Treadway, Jr., resigned, November 14, 1985. U.S. G.P.O., 1986.

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United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs. Nomination of Edward H. Fleischman: Hearing before the Committee on Banking, Housing, and Urban Affairs, United States Senate, Ninety-ninth Congress, first session, on the nomination of Edward H. Fleischman of New Jersey, to be a member of the Securities and Exchange Commission for the remainder of the term expiring June 5, 1987, Vice James C. Treadway, Jr., resigned, November 14, 1985. U.S. G.P.O., 1986.

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United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs. Nominations of Thomas T. Demery and Simon C. Fireman: Hearing before the Committee on Banking, Housing, and Urban Affairs, United States Senate, Ninety-ninth Congress, second session, on the nominations of Thomas T. Demery, of Michigan, to be an Assistant Secretary of Housing and Urban Development and Simon C. Fireman, of Massachusetts, to be a member of the Board of Directors of the Export-Import Bank of the United States for the remainder of the term expiring January 20, 1987; September 18, 1986. U.S. G.P.O., 1986.

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United States. Internal Revenue Service., ed. Actuarial values.: Unitrust remainder factors for one life, two lives, and terms certain : adjusted payout rates from 2.2 percent to 22.0 percent : for use in income, estate, and gift tax purposes. Dept of the Treasury, Internal Revenue Service, 1999.

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10

Dashper, Katherine, Guðrún Helgadóttir, and Ingibjörg Sigurðardóttir, eds. Humans, horses and events management. CABI, 2021. http://dx.doi.org/10.1079/9781789242751.0000.

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Abstract This book uses a particular equestrian event (Landsmót, the National Championships of the Icelandic Horse) as a case to illustrate various aspects of managing and experiencing sports events, their impacts and their legacies. The remainder of this book is split into six sections, based around the planning, implementation and evaluation of a multispecies event. Each chapter stands alone in terms of offering theoretical and empirical insight on different aspects of multispecies events management, viewed from a range of theoretical and disciplinary perspectives. The book has 17 chapters,

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Book chapters on the topic "Remainder term"

1

Greaves, George. "The Remainder Term in the Linear Sieve." In Sieves in Number Theory. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04658-6_7.

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Whitney, Hassler. "Differentiability of the Remainder Term in Taylor’s Formula." In Hassler Whitney Collected Papers. Birkhäuser Boston, 1992. http://dx.doi.org/10.1007/978-1-4612-2972-8_21.

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Ostrowski, Alexander. "On the remainder term of the de Moivre-Laplace formula." In Collected Mathematical Papers. Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9336-7_53.

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Spalević, Miodrag M., and Miroslav S. Pranić. "The Remainder Term of Gauss–Turán Quadratures for Analytic Functions." In Approximation and Computation. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6594-3_16.

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Tikhomirov, V. M. "On the Order of Magnitude of the Remainder Term in the Fourier Series of Differentiable Functions." In Selected Works of A. N. Kolmogorov. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3030-1_27.

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Freeden, Willi, and Martin Gutting. "Remainder Terms Involving Beltrami Operators." In Integration and Cubature Methods. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315195674-10.

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Freeden, Willi, and Martin Gutting. "Remainder Terms Involving Pseudodifferential Operators." In Integration and Cubature Methods. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9781315195674-13.

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Brezis, HaïM, and Elliott H. Lieb. "Sobolev Inequalities with Remainder Terms." In Inequalities. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-55925-9_46.

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Kaufmann, Daniela, and Jérémy Berthomieu. "Extracting Linear Relations from Gröbner Bases for Formal Verification of And-Inverter Graphs." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-90643-5_19.

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Abstract Formal verification techniques based on computer algebra have proven highly effective for circuit verification. The circuit, given as an and-inverter graph, is encoded using polynomials that automatically generate a Gröbner basis with respect to a lexicographic term ordering. Correctness of the circuit is derived by computing the polynomial remainder of the specification. However, the main obstacle is the monomial blow-up during the reduction, as the degree can increase. In this paper, we investigate an orthogonal approach and focus the computational effort on rewriting the Gröbner ba

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Franklin, Alex. "Introduction: Sustainability Science as Co-Creative Research Praxis." In Co-Creativity and Engaged Scholarship. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-84248-2_1.

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AbstractThis chapter explores the relationship between collaboration and creativity within social sustainability research. Aimed at stimulating further reflection and debate on the role of ‘co-creativity’ in enabling transformative sustainability agendas, the chapter acts also as an introduction to the entire edited collection. A key guiding question posed from the outset is how co-creative research practice, as a generative process, can best support the emergence of alternative—potentially even transformative—ways of being in the world. The discussion proceeds with a conceptual review of crea

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Conference papers on the topic "Remainder term"

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Bavarian, Behzad, Lisa Reiner, James Holden, and Boris Miksic. "Amine Base Vapor Phase Corrosion Inhibitor Alternatives to Hydrazine for Steam Generating Systems and Power Plants." In CORROSION 2018. NACE International, 2018. https://doi.org/10.5006/c2018-11012.

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Abstract Hydrazine is used as an oxygen scavenger to control corrosion in steam generating systems, despite being a genotoxic carcinogen. Alternative chemicals, nontoxic corrosion inhibitors or new oxygen scavenger-free water treatment technologies are preferred. A newly developed amine based vapor phase corrosion inhibitor was investigated. Electrochemical tests were conducted and showed a significantly lower corrosion rate in steam generating boilers and boiling water. Short term (720 hours) corrosion tests in boiling water showed a decreased corrosion rate from 5.3 mpy to 1.93 mpy for 50 mg

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Curran, Joseph John, Jerry Curran, and Louis MacDowell. "Galvanic Liquid Applied Coating Development for Protection of Steel in Concrete." In CORROSION 2004. NACE International, 2004. https://doi.org/10.5006/c2004-04335.

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Abstract Corrosion of reinforcing steel in concrete is a major problem affecting NASA facilities at Kennedy Space Center (KSC), other government agencies, and the general public. Problems include damage to KSC launch support structures, transportation and marine infrastructures, as well as building structures. A galvanic liquid applied coating was developed at KSC in order to address this problem. The coating is a non-epoxy metal rich ethyl silicate liquid coating. The coating is applied as a liquid from initial stage to final stage. Preliminary data shows that this coating system exceeds the

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Bavarian, Behzad, Lisa Reiner, James Holden, and Boris Miksic. "Development of a New Vapor Phase Corrosion Inhibitor for Steam Generating Systems and Boilers." In CORROSION 2019. NACE International, 2019. https://doi.org/10.5006/c2019-12773.

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Abstract Hydrazine is used as an oxygen scavenger to control corrosion in steam generating systems, despite being a genotoxic carcinogen. The International Conference on Chemicals Management in 2006 adopted the Strategic Approach to International Chemicals Management designed to implement the Johannesburg Plan. The European Union has also implemented the new Regulation on Registration, Evaluation, Authorization, and Restriction of Chemicals to achieve the World Summit on Sustainable Development goals by 2020. Hydrazine is one those chemical that severe restriction has been imposed on and must

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Jain, Anil K., Cristina Peratta, John M. W. Baynham, and Robert A. Adey. "Optimization of Retrofit Cathodic Protection (CP) Systems Using Computational Modeling by Evaluating Performance of Remnant and Retrofit CP Systems, Taking into Account Long-Term Polarization Effects." In CORROSION 2011. NACE International, 2011. https://doi.org/10.5006/c2011-11059.

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Abstract Sacrificial anode retrofitting to aging structures is routinely performed for life extension of offshore assets in matured fields. Sometimes earlier retrofit systems are now being replaced or supplemented. Understanding when remnant CP systems can no longer prevent depolarization is important as timely intervention can reduce overall retrofit cost, which is a significant factor. Life must be extended a required number of years, and design should take into account performance of remaining anodes and state of calcareous deposits. Data for this is generally available from past surveys. D

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Fischer, Karl P., Trevor Rosbrook, William H. Thomason, and Jay Murali. "Performance of Thermal Sprayed Aluminium Coatings in the Splash Zone and for Riser Service." In CORROSION 1994. NACE International, 1994. https://doi.org/10.5006/c1994-94499.

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Abstract Historically, the coatings used in the splash zone have been either heavy duty coal tar epoxy or a glassflake epoxy. In 1982 Conoco justified a minimum 20 year service life for a sealed thermal sprayed aluminium (TSA) coating for the Hutton TLP risers and tethers. In 1984 the Hutton TLP was installed with 200 microns thickness TSA as the corrosion protection coating and without adding a corrosion allowance. After eight years service the TSA coating on the production risers and tethers is still in good condition. It was noted that the splash zone area was indistinguishable from the rem

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Presuel, Francisco J., Alberto A. Sagüés, and S. C. Kranc. "Steel Activation in Concrete Following Interruption of Long Term Cathodic Polarization." In CORROSION 2002. NACE International, 2002. https://doi.org/10.5006/c2002-02259.

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Abstract A set of partially immersed reinforced concrete columns with mature corrosion patterns was used to demonstrate that corrosion macrocell currents provided “cathodic prevention” to parts of the steel assembly that remained passive even though exposed to high chloride (~ 4.7% of the cement weight) concrete. Depassivation of that steel was observed upon macrocell decoupling.

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Kajita, Yukihide, Ryo Morishige, Jeong Moon Kyeong, and Taiji Mazda. "Displacement Prediction by Acceleration of Bridge Pier Using Long Short-Term Memory." In IABSE Symposium, Tokyo 2025: Environmentally Friendly Technologies and Structures: Focusing on Sustainable Approaches. International Association for Bridge and Structural Engineering (IABSE), 2025. https://doi.org/10.2749/tokyo.2025.2360.

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<p>After a large earthquake, prompt assessment of damage to seismic isolation bearings, especially in bridges, is critical. Although accelerometers are commonly used in structural health monitoring, displacement response calculations based on time integration of acceleration data are often inaccurate due to numerical errors. In this paper, using dynamic analysis results on a bridge model with seismic isolation bearings, a long short-term memory (LSTM) model was employed to predict displacement more accurately. Results showed that the LSTM model reduced the maximum response displacement e

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Bennett, Jack, and William T. McCord. "Long-Term Protection of Reinforced Concrete by Galvanic Cathodic Protection – Test Results." In CORROSION 2008. NACE International, 2008. https://doi.org/10.5006/c2008-08306.

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Abstract Galvanic cathodic protection (GCP) of reinforced concrete offers important advantages of simplicity, lower cost, and lack of cumbersome monitoring and maintenance procedures. But since GCP of reinforced concrete structures is relatively new, there is a general lack of long-term test results. This paper presents test data for the application of zinc anodes activated by a combination of lithium nitrate and lithium bromide in indoor test blocks, large outdoor test slabs, and field trials, all operational from 5 to nearly 8 years. Protective current delivered by GCP in indoor test blocks

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Croll, S. G., C. Gu, V. Upadhyay, and B. D. Keil. "The Correlation of Appearance Changes and Long Term Corrosion Protection for Aromatic Polyurethane Coatings Used on Steel Water Pipes." In Coatings+ 2020. SSPC, 2020. https://doi.org/10.5006/s2020-00011.

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Abstract Aromatic polyurethane coatings are often used in the protection of steel water pipelines from corrosion. Unfortunately, pipeline sections may be stored above ground for many months before installation so the coatings yellow, lose gloss and can chalk. This deterioration in appearance naturally creates doubt about the corrosion protective qualities of the coatings. A two year study of five such coatings exposed in Florida and Texas, as well as in accelerated weathering, established the kinetics of degradation. Color, gloss, albedo, coating thickness and corrosion protection (via electro

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Willmon, Jeffrey. "THPS Degradation in the Long-Term Preservation of Sub-sea Flow-lines and Risers." In CORROSION 2010. NACE International, 2010. https://doi.org/10.5006/c2010-10402.

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Abstract The Thunder Horse project’s sub-sea flow-lines were installed in 6,000’ water depths; the installation of the risers followed a year later. These lines were initially filled with chemically treated seawater in anticipation of hydro-testing and start-up. The initial chemical treatments were in accordance with BP guidelines and EPA GoM specific regulations. The initial chemical treatments consisted of a THPS biocide (~270 ppm), oxygen scavenger (~100 ppm), corrosion inhibitor (~100 ppm), and dye (~30 ppm). The initial chemically-treated fluids remained in place for up to two years durin

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Reports on the topic "Remainder term"

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Seme, Assefa, Solomon Shiferaw, Ayanaw Amogne, et al. Impact of the COVID-19 Pandemic on Adolescent Sexual and Reproductive Health in Ethiopia. Guttmacher Institute, 2021. http://dx.doi.org/10.1363/2021.33198.

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Key Points The COVID-19 pandemic and its associated restrictions raised concerns that adolescents in Ethiopia may face reduced access to youth-friendly sexual and reproductive health services. Public and private service statistics data reveal that from March through the end of 2020, the COVID-19 pandemic had at least a short-term impact on adolescent sexual and reproductive health outcomes. The COVID-19 pandemic is estimated to have resulted in an annualized increase of: 20,738 adolescents with an unmet need for contraception 8,884 unintended pregnancies among adolescents Approximately 10.1 mi

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Wiener, Joshua M., Mary E. Knowles, and Erin E. White. Financing Long-Term Services and Supports: Continuity and Change. RTI Press, 2017. http://dx.doi.org/10.3768/rtipress.2017.op.0042.1709.

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This article provides an overview of financing for long-term services and supports (LTSS) in the United States, paying special attention to how it has changed and not changed over the last 30 years. Although LTSS expenditures have increased greatly (like the rest of health care), the broad outline of the financing system has remained remarkably constant. Medicaid—a means-tested program—continues to dominate LTSS financing, while private long-term care insurance plays a minor role. High out-of-pocket costs and spend-down to Medicaid because of those high costs continue to be hallmarks of the sy

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Börjesson, Patrik, Maria Eggertsen, Lachlan Fetterplace, et al. Long-term effects of no-take zones in Swedish waters. Edited by Ulf Bergström, Charlotte Berkström, and Mattias Sköld. Department of Aquatic Resources, Swedish University of Agricultural Sciences, 2023. http://dx.doi.org/10.54612/a.10da2mgf51.

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Marine protected areas (MPAs) are increasingly established worldwide to protect and restore degraded ecosystems. However, the level of protection varies among MPAs and has been found to affect the outcome of the closure. In no-take zones (NTZs), no fishing or extraction of marine organisms is allowed. The EU Commission recently committed to protect 30% of European waters by 2030 through the updated Biodiversity Strategy. Importantly, one third of these 30% should be of strict protection. Exactly what is meant by strict protection is not entirely clear, but fishing would likely have to be fully

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MacAndrew, John. Aid Infusions, Aid Illusions: Bilateral and Multilateral Emergency and Development Assistance in Cambodia, 1992-1995. Cambodia Development Resource Institute, 1996. https://doi.org/10.64202/wp.02.199701.

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This report analyzes bilateral and multilateral emergency and development assistance to Cambodia from 1992 to 1995, highlighting key trends and challenges. During this period, donors pledged nearly US$2.3 billion, with actual disbursements totaling about US$1.3 billion—72% from bilateral sources and 28% from multilateral institutions. Aid was unevenly distributed, heavily concentrated in Phnom Penh, and often bypassed government systems, limiting Cambodia’s absorptive capacity and undermining institutional development. Aid types included technical assistance, investment projects, budgetary sup

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Stall, Nathan M., Kevin A. Brown, Antonina Maltsev, et al. COVID-19 and Ontario’s Long-Term Care Homes. Ontario COVID-19 Science Advisory Table, 2021. http://dx.doi.org/10.47326/ocsat.2021.02.07.1.0.

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Key Message Ontario long-term care (LTC) home residents have experienced disproportionately high morbidity and mortality, both from COVID-19 and from the conditions associated with the COVID-19 pandemic. There are several measures that could be effective in preventing COVID-19 outbreaks, hospitalizations, and deaths in Ontario’s LTC homes, if implemented. First, temporary staffing could be minimized by improving staff working conditions. Second, homes could be further decrowded by a continued disallowance of three- and four-resident rooms and additional temporary housing for the most crowded h

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Lafuente, Mariano. Public Employment and Pay Policy in Belize. Inter-American Development Bank, 2013. http://dx.doi.org/10.18235/0009134.

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Due in part to Belize's characteristic as a small state, its public administration is among the most expensive in Central America relative to the size of its economy. This represents a potential risk in a challenging fiscal context. The wage bill's fiscal risk has been flagged as a concern over the years, and it has remained an important issue, which is aggravated by the fact that the relatively high level of spending still does not effectively promote, attract, and retain adequate human capital for the delivery of public services. This Technical Note reviews the current public employment and

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Ang, Len, and Sokphea Young. Civil Society Organisations and Youth Civic Engagement in Cambodia. Cambodia Development Resource Institute, 2021. https://doi.org/10.64202/wp.132.202110.

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Civic engagement is “how citizens participate in the life of a community to improve conditions for others or to help shape the community’s future” (Adler and Goggin 2005, p. 236). In Cambodia, civic engagement has been promoted by civil society organisations (CSOs) since 1993. The organisations covered by the abbreviation “CSO” are many in Cambodia, but they consist of, and are not limited to, non-governmental organisations (NGOs), youth associations, community-based organisations (CBOs), self-help groups and small clubs. There are around 3,000 NGOs registered officially with the Ministry of I

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Nacif, Benito, Gabriel Negretto, Fabrice Lehoucq, Allyson Lucinda Benton, and Francisco Javier Aparicio. Political Institutions, Policymaking Processes, and Policy Outcomes in Mexico. Inter-American Development Bank, 2005. http://dx.doi.org/10.18235/0011290.

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This paper uses a transaction-costs framework to link the policymaking process (PMP) and the outer features of public policies in Mexico. It shows how a highly secretive PMP, centralized around the presidency, fashioned nationalist policies that were stable, adaptable, coordinated and private-regarding for the urban-based corporatist pillars of the regime. When growth faltered in the late 1970s, however, this PMP was unable to adapt to economic volatility, although it remained dominant in an increasingly turbulent polity. The paper explains how unified government and corporatist control of the

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Sreethawong, Thammanoon. Natural gas reforming to hydrogen energy in low temperature plasma system : report. Chulalongkorn University, 2009. https://doi.org/10.58837/chula.res.2009.81.

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The effect of stage number of multistage AC gliding arc discharge reactors on the process performance ofthe combined reforming and partial oxidation of simulated CO₂-containing natural gas having a CH₄:C₂H₆:C₃H₈:C0₂ molar ratio of 70:5:5:20 was investigated. For the experiments with partial oxidation, either pure oxygen or air was used as the oxygen source with a fixed hydrocarbon-to-oxygen molar ratio of 211. Without partial oxidation at a constant feed flow rate, all conversions of hydrocarbons, except CO₂, greatly increased with increasing number of stages from 1 to 3; but · beyond 3 stages

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Whitaker, Stephen. Rocky intertidal community monitoring at Channel Islands National Park: 2018–19 annual report. National Park Service, 2023. http://dx.doi.org/10.36967/2299674.

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Channel Islands National Park includes the five northern islands off the coast of southern California (San Miguel, Santa Rosa, Santa Cruz, Anacapa, and Santa Barbara Islands) and the surrounding waters out one nautical mile. There are approximately 176 miles of coastline around the islands, about 80% of which is composed of rock. The diversity and undisturbed nature of the tidepools of this rocky coastline were recognized as special features of the islands in the enabling legislation. To conserve these communities unimpaired for future generations, the National Park Service has been monitoring

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