Academic literature on the topic 'Series Solution'

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Journal articles on the topic "Series Solution"

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P. Khabazi, Navid, Mohsen Aryan, Jalil Jamali, and Kayvan Sadeghy. "Sakiadis Flow of Harris Fluids: a Series-Solution." Nihon Reoroji Gakkaishi 42, no. 4 (2014): 245–53. http://dx.doi.org/10.1678/rheology.42.245.

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S, Aiswarya, and Gerly T G. "Finite Series Solution Arising from Three-Dimensional q-Difference Equation." Journal of Computational Mathematica 2, no. 2 (2018): 41–50. http://dx.doi.org/10.26524/cm38.

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Trefethen, FRS, Lloyd Nicholas. "Series solution of Laplace problems." ANZIAM Journal 60 (October 7, 2018): 1. http://dx.doi.org/10.21914/anziamj.v60i0.13077.

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TREFETHEN, LLOYD N. "SERIES SOLUTION OF LAPLACE PROBLEMS." ANZIAM Journal 60, no. 1 (2018): 1–26. http://dx.doi.org/10.1017/s1446181118000093.

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At the ANZIAM conference in Hobart in February 2018, there were several talks on the solution of Laplace problems in multiply connected domains by means of conformal mapping. It appears to be not widely known that such problems can also be solved by the elementary method of series expansions with coefficients determined by least-squares fitting on the boundary. (These are not convergent series; the coefficients depend on the degree of the approximation.) Here we give a tutorial introduction to this method, which converges at an exponential rate if the boundary data are sufficiently well-behave
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Adzic, Nevenka, and Z. Ovcin. "Orthogonal series approximation for boundary layers." Theoretical and Applied Mechanics 31, no. 3-4 (2004): 201–14. http://dx.doi.org/10.2298/tam0404201a.

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In this paper we shall consider a class of singularly perturbed problems described by the ordinary differential equation of second order with small parameter multiplying the highest derivative and the appropriate boundary conditions, which describes certain flow problems in fluid mechanics. The solution of such problems displays boundary layers where the solution changes its values very rapidly. The domain decomposition will be performed determining layer subintervals which are adapted to the possibility of spectral approximation. The division point for the boundary layer is determined using a
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Zhou, Wei, Chee-Meng Chew, and Geok-Soon Hong. "Design of series damper actuator." Robotica 27, no. 3 (2009): 379–87. http://dx.doi.org/10.1017/s0263574708004797.

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SUMMARYIn our previous work, a novel force control actuator, called series damper actuator (SDA), has been proposed. This paper proposes a general design procedure for the SDA system. From design requirements, several key parameters of the SDA plant can be determined. Based on these parameters, the selection or design of the series damper and the motor can be carried out. A case study is included to illustrate the effectiveness of the procedure. As there could be more than one feasible solutions from the procedure, the mechatronic design quotient (MDQ) method can be adopted to select the best
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Hollkamp, J. J., and S. M. Batill. "Structural Identification Using Order Overspecified Time-Series Models." Journal of Dynamic Systems, Measurement, and Control 114, no. 1 (1992): 27–33. http://dx.doi.org/10.1115/1.2896504.

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An identification method that uses order overspecified time-series models and a truncated singular value decomposition (SVD) solution is studied. The overspecified model reduces the effects of noise during the identification process, but produces extraneous modes. A backwards approach coupled with a minimum norm approximation, using a truncated SVD solution, enables the system modes to be distinguished from the extraneous modes of the model. Experimental data from a large flexible truss is used to study the effects of varying the truncation of the SVD solution and an order recursive algorithm
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Sales, Lázaro Lima de, Jonatas Arizilanio Silva, Eliângela Paulino Bento de Souza, Hidalyn Theodory Clemente Mattos de Souza, Antonio Diego Silva Farias, and Otávio Paulino Lavor. "Gaussian integral by Taylor series and applications." REMAT: Revista Eletrônica da Matemática 7, no. 2 (2021): e3001. http://dx.doi.org/10.35819/remat2021v7i2id4330.

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In this paper, we present a solution for a specific Gaussian integral. Introducing a parameter that depends on a n index, we found out a general solution inspired by the Taylor series of a simple function. We demonstrated that this parameter represents the expansion coefficients of this function, a very interesting and new result. We also introduced some Theorems that are proved by mathematical induction. As a test for the solution presented here, we investigated a non-extensive version for the particle number density in Tsallis framework, which enabled us to evaluate the functionality of the
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Schorr, Susan, Hans-Joachim Hoebler, and Michael Tovar. "A neutron diffraction study of the stannite-kesterite solid solution series." European Journal of Mineralogy 19, no. 1 (2007): 65–73. http://dx.doi.org/10.1127/0935-1221/2007/0019-0065.

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Shawagfeh, N., and D. Kaya. "Series solution to the Pochhammer-Chreeequation and comparison with exact solutions." Computers & Mathematics with Applications 47, no. 12 (2004): 1915–20. http://dx.doi.org/10.1016/j.camwa.2003.02.012.

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Dissertations / Theses on the topic "Series Solution"

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Cildir, Sema. "Series Solution Of The Wave Equation In Optic Fiber." Phd thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/2/12608361/index.pdf.

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In this study, the mapped Galerkin method was applied to solve the vector wave equation based on H&amp<br>#8722<br>field and to obtain the propagation constant in x &amp<br>#8722<br>y space. The vector wave equation was solved by the transformation of the infinite x &amp<br>#8722<br>y plane onto a unit square. Two-dimensional Fourier series expansions were used in the solutions. Modal fields and propagation constants of dielectric waveguides were calculated. In the first part of the study, all of the calculations were made in step index fibers. Transverse magnetic fields were obtained in the u
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Grguric, Benjamin Alxander. "Polymorphism and exsolution in the bornite-digenite solid solution series." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.625036.

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Brusaferro, Doniray. "Series Solutions of Polarized Gowdy Universes." VCU Scholars Compass, 2017. http://scholarscompass.vcu.edu/etd/4777.

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Einstein's field equations are a system of ten partial differential equations. For a special class of spacetimes known as Gowdy spacetimes, the number of equations is reduced due to additional structure of two dimensional isometry groups with mutually orthogonal Killing vectors. In this thesis, we focus on a particular model of Gowdy spacetimes known as the polarized T3 model, and provide an explicit solution to Einstein's equations.
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Lindstrom, Douglas W. "Series solution for a cylindrical composite shell subject to axisymmetric loadings." Thesis, University of Ottawa (Canada), 1990. http://hdl.handle.net/10393/5610.

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The elasticity equations have been solved to an arbitrary degree of precision for a thick-walled orthotropic cylinder, subject to axisymmetric loading. The theory is directly applicable to a layered composite material where each layer is orthotropic in character. The solution proceeds by representing the deformations of the cylinder wall as a power series in a non-dimensional radial parameter. By introducing a generalized stress resultant and a generalized stiffness for the material, a series of coupled second order differential equations in the coefficients of the deformation series results.
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Kanat, Bengi Tanoğlu Gamze. "Numerical Solution of Highly Oscillatory Differential Equations By Magnus Series Method/." [s.l.]: [s.n.], 2006. http://library.iyte.edu.tr/tezler/master/matematik/T000572.pdf.

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Senan, Chandra. "The solution and adsorption properties of a series of hydrophobically modified sodium polyacrylates." Thesis, University of Salford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301462.

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Winter, Arboleda Irina Michelle. "Solution of fractional linear and bilinear time invariant system via formal power series methods." Master's thesis, Pontificia Universidad Católica del Perú, 2017. http://tesis.pucp.edu.pe/repositorio/handle/123456789/10179.

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The area of fractional calculus is more than three centuries old but applications have only appeared in the past few decades. Differential equations of non-integer order are known to represent certain physical processes in a more precise way than using the usual differential equations with integer order. Therefore, considering fractional calculus in the context of input- output systems can be beneficial. A useful representation of an input-output map in control theory is the Chen-Fliess functional series or Fliess operator. It can be viewed as a generalization of a Taylor series, and its al
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Accorsi, Gina Marie. "Fingerprinting Wolframite: An Atomic/crystallographic, Chemical And Spectroscopic Study Along The Solid Solution Series." ScholarWorks @ UVM, 2017. http://scholarworks.uvm.edu/graddis/710.

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In accordance with the 2010 Dodd-Frank Act, conflict minerals refer to gold, tantalum, tin, and tungsten bearing minerals sourced from the Democratic Republic of Congo (DRC) that have been mined illegally and used to funnel funds to rebel forces. In response to an increasing demand for these metals used in cellphones, computers, and other popular technologies, Dodd-Frank mandates that industrial consumers demonstrate due diligence and assure that the materials they use have been extracted legally. Because current chain-of-custody methods have not been effective in sourcing ores, a study was un
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Mohamed, Nurul Akmal. "Numerical solution and spectrum of boundary-domain integral equations." Thesis, Brunel University, 2013. http://bura.brunel.ac.uk/handle/2438/7592.

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A numerical implementation of the direct Boundary-Domain Integral Equation (BDIE)/ Boundary-Domain Integro-Differential Equations (BDIDEs) and Localized Boundary-Domain Integral Equation (LBDIE)/Localized Boundary-Domain Integro-Differential Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE with variable coefficient is discussed in this thesis. The BDIE and LBDIE related to Neumann problem are reduced to a uniquely solvable one by adding an appropriate perturbation operator. The mesh-based discretisation of the BDIE/BDIDEs and LBDIE/LBDID
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Rasheed, Yasser. "A database solution for scientific data from driving simulator studies." Thesis, Linköpings universitet, Institutionen för datavetenskap, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-70435.

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Many research institutes produce a huge amount of data. It was said by someone that “We are drowning in data, but starving of information”. This is particularly true for scientific data. The needs and the advantages of being able to search data from different experiments are increasing in order to look for differences and similarities among them and thus doing Meta studies. A Meta-study is the method that takes data from different independent studies and integrate them using statistical analysis. If data is well described and data access is flexible then it is possible to establish unexpected
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Books on the topic "Series Solution"

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1940-, Haining Peter, ed. The Television late-night horror omnibus: Great tales from TVanthology series. Orion, 1993.

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1940-, Haining Peter, ed. The armchair horror collection: Great tales from TV anthology series. Orion, 1994.

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Haining, Peter. The television late night horror omnibus: Great tales from TV anthology series. BCA, 1993.

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G, Voigt Robert, Langley Research Center, and Institute for Computer Applications in Science and Engineering, eds. Solution of partial differential equations on vector and parallel computers. National Aeronautics and Space Administration, Langley Research Center, 1985.

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G, Voigt Robert, ed. Solution of partial differential equations on vector and parallel computers. SIAM, 1985.

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Ionic Liquids As Green Solvents: Progress and Prospects (Acs Symposium Series). An American Chemical Society Publication, 2003.

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Larimore, Walter L. Saline Solution Video Series. Christian Medical & Dental Assn, 1999.

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Bannink, Fredrike. 101 Solution-Focused Questions Series Set. W. W. Norton & Company, 2015.

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Sharry, John. Solution-Focused Groupwork (Brief Therapies series). Sage Publications Ltd, 2007.

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Sharry, John. Solution-Focused Groupwork (Brief Therapies series). Sage Publications Ltd, 2007.

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Book chapters on the topic "Series Solution"

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Said-Houari, Belkacem. "Power Series Solution." In Compact Textbooks in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25735-8_5.

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Österberg, Jan. "My Solution." In Philosophical Studies Series. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12410-6_7.

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Georgiev, Svetlin G. "The Series Solution Method." In Integral Equations on Time Scales. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-228-1_8.

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Tvaroška, Igor, Tibor Kožár, and Miloš Hricovíni. "Oligosaccharides in Solution." In ACS Symposium Series. American Chemical Society, 1990. http://dx.doi.org/10.1021/bk-1990-0430.ch010.

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Constanda, Christian. "Fourier Series." In Solution Techniques for Elementary Partial Differential Equations. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315381442-2.

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Constanda, Christian. "Fourier Series." In Solution Techniques for Elementary Partial Differential Equations, 4th ed. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003173045-2.

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Ulmer, Marlin Wolf. "Solution Algorithms." In Operations Research/Computer Science Interfaces Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55511-9_10.

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Jones, Christopher V. "Solution Analysis." In Operations Research/Computer Science Interfaces Series. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4615-4121-9_10.

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Shamsuddin, Mohammad. "Solution Thermodynamics." In The Minerals, Metals & Materials Series. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-47118-6_3.

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Kloepfer, Jeremiah A., Victor H. Vilchiz, Victor A. Lenchenkov, and Stephen E. Bradforth. "Electron Photodetachment in Solution." In ACS Symposium Series. American Chemical Society, 2002. http://dx.doi.org/10.1021/bk-2002-0820.ch008.

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Conference papers on the topic "Series Solution"

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Wang, Chen, Zhiqiang Lu, Wenzhe Chen, and Chunmiao Zhang. "Annual Time-Series Operation Simulation and Rapid Solution Method for Power Systems." In 2024 IEEE 8th Conference on Energy Internet and Energy System Integration (EI2). IEEE, 2024. https://doi.org/10.1109/ei264398.2024.10991685.

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Veigend, Petr, Gabriela Nečasová, and Václav Šátek. "Taylor series based numerical integration method for solution of nonlinear problems with division." In 2024 IEEE 17th International Scientific Conference on Informatics (Informatics). IEEE, 2024. https://doi.org/10.1109/informatics62280.2024.10900903.

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Singh, Binder, James N. Britton, and Dave Flanery. "Offshore Corrosion Failure Analyses-A Series of Case Histories." In CORROSION 2003. NACE International, 2003. https://doi.org/10.5006/c2003-03114.

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Abstract This paper presents a series of typical corrosion failure analyses predominantly taken from the Gulf of Mexico region over the past few years, focusing on deepwater applications. The examples selected reflect both the more common and unusual type of failures noted per various materials, facilities/systems, and a range of root causes and mechanisms. The case histories are analyzed and acceptable fit-for-purpose solutions determined, and it is emphasized that failure mechanism and root cause may or may not be directly related. A practical investigative methodology for solving is seen to
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Krener, Arthur J. "Series Solution of Stochastic HJB Equations." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029243.

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Shu, Tianye, Yang Nan, Ke Shang, and Hisao Ishibuchi. "Analysis of Partition Methods for Dominated Solution Removal from Large Solution Sets." In 2023 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, 2023. http://dx.doi.org/10.1109/ssci52147.2023.10371974.

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Zhang, Zhewei, Can Mal, Bowen Ding, and Meilin Gao. "Detecting Manipulated Facial Videos: A Time Series Solution." In 2020 25th International Conference on Pattern Recognition (ICPR). IEEE, 2021. http://dx.doi.org/10.1109/icpr48806.2021.9412610.

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Zhang, Heng, Bin Huang, and Zhifeng Wu. "Homotopy-series Solution of Eigenpair of Random Structure." In Proceedings of the 6th International Symposium on Reliability Engineering and Risk Management. Research Publishing Services, 2018. http://dx.doi.org/10.3850/978-981-11-2726-7_cgen53.

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Satek, Vaclav, Petr Veigend, and Gabriela Necasova. "Taylor Series Based Solution of Nonlinear-Quadratic ODE Systems." In 9th Vienna Conference on Mathematical Modelling. ARGESIM Publisher Vienna, 2018. http://dx.doi.org/10.11128/arep.55.a55267.

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Macey, P. C. "INFINITE WAVEGUIDE TERMINATION BY HYBRID FINITE ELEMENT/SERIES SOLUTION." In REPRODUCED SOUND 2020. Institute of Acoustics, 2020. http://dx.doi.org/10.25144/13368.

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Macey, P. C. "INFINITE WAVEGUIDE TERMINATION BY HYBRID FINITE ELEMENT/SERIES SOLUTION." In REPRODUCED SOUND 2020. Institute of Acoustics, 2020. http://dx.doi.org/10.25144/13368.

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Reports on the topic "Series Solution"

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Lang, Brian E., Thomas W. Vetter, John L. Molloy, and Antonio Possolo. Certification of 3180 Series Standard Reference Materials® Anions in Solution. National Institute of Standards and Technology, 2025. https://doi.org/10.6028/nist.sp.260-257.

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Blumberg, L. N. Analysis of magnetic measurement data by least squares fit to series expansion solution of 3-D Laplace equation. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10185838.

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Ho, Philip. Investigation of Solution Space of Trees and DAGs for Realization of Combinational Logic in AT 6000 series FPGAs. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.6470.

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Klaus, Ian, Amanda Eichel, Debra Roberts, Seth Schultz, and Aromar Revi. Shared Science, Shared Future – SUP Action Agenda. Indian Institute for Human Settlements, 2022. http://dx.doi.org/10.24943/supsv411.2022.

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The SUP Action Agenda provides the perspective of city and business leaders in response to the three volumes of the Summary for Urban Policymakers (SUP) of the Intergovernmental Panel on Climate Change’s Sixth Assessment Report (IPCC AR6). The Action Agenda explicitly focuses on the policy and solution space, outlining both the opportunities for, and business investments required, to incentivize engagement from all relevant stakeholder communities for co-created solutions to the climate change crisis. While grounded in the scientific understanding of the climate crisis, the Action Agenda goes
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Nudson, O. N., C. D. Ramey, and M. D. Hendricks. AK DGGS' Hardware Solution for Collaborative Field Data Collection (presentation): Geological Survey Digital Mapping Techniques Workshop Series DMT2022, Jun 23-25, 2022, Rolla, Missouri. Alaska Division of Geological & Geophysical Surveys, 2022. http://dx.doi.org/10.14509/30872.

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Buvinic, Mayra, and Andrew Morrison. Causes of Violence. Inter-American Development Bank, 1999. http://dx.doi.org/10.18235/0008930.

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This document is the one of a series of technical notes that describe the nature and magnitude of violence in the region, its causes and effects, and how it can be prevented and controlled. The notes provide useful information on designing programs and policies to prevent and deal with violence. This note focuses on the causes of violence. The authors hold that violence is a complex phenomenon that has not one but many causes. Hence there is no single solution or response. In order to decrease the incidence of violence, one needs to identify the numerous factors that are associated with the ph
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Grand-Clément, Sarah. Exploring the Use of Technology for Remote Ceasefire Monitoring and Verification. UNIDIR, 2022. http://dx.doi.org/10.37559/caap/22/erc/06.

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Ceasefires play an important role in the prevention of further conflict and armed violence. Monitoring and verifying that the terms of a ceasefire agreement are respected plays a key role in ensuring an end to violence. Traditionally, ceasefire monitoring and verification has been human-led. In some circumstances, it can however be difficult deploy observers on the ground. While technology cannot replace humans in all aspects of the monitoring and verification of ceasefires, especially within dialogue and de-escalation efforts, technology can nonetheless support and complement human-led activi
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Lynch, James F. A Higgs Universe and the flow of time. Woods Hole Oceanographic Institution, 2024. http://dx.doi.org/10.1575/1912/69338.

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Theoretically considering velocities greater than c implies considering an observer’s past and extends the overall analysis into the complex plane. By using a series of rotations by i in the complex plane, one can create a four-lobed structure of “instants of time,” which together with considering matter and antimatter in the lobes and the +/- sense of the rotation, leads to a Higgs field representation of space and time. A 10x10 metric is developed for this system as well as a generalized spacetime interval. It is also shown that the Friedmann Equations are consistent with our “Higgs Cosmolog
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Lynch, James F. A digital Higgs universe and the flow of time. Woods Hole Oceanographic Institution, 2024. http://dx.doi.org/10.1575/1912/70830.

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Theoretically considering velocities greater than c implies considering an observer’s past and extends the overall analysis into the complex plane. By using a series of rotations by i in the complex plane at the Planck scale, one can create a four-lobed structure of “instants of time,” which together with considering matter and antimatter in the lobes and the +/- sense of the rotation, leads to a Higgs field representation of spacetime. A metric is developed for this system as well as a generalized spacetime interval. It is shown that the Friedmann Equations are consistent with our “Higgs Cosm
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Shadurdyyev, G. Analysis of sets of factors affecting the variable flow of the Amu Darya River to create a seasonal prognostic model. Kazakh-German University, 2022. http://dx.doi.org/10.29258/dkucrswp/2022/53-72.eng.

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The Amu Darya River is a transboundary river whose flow of the river in high-water years reaches up to 108 km3 and in low-water years up to 47 km3 and these are huge fluctuations in the water flow of the river for Tajikistan, Kyrgyzstan, Uzbekistan, Turkmenistan, and Afghanistan, that share water among themselves. The point to consider is that the downstream countries Turkmenistan and Uzbekistan (and possibly Afghanistan in the future) use a lot of water for irrigation, and therefore these countries are the ones most in need of an accurate forecast of the volume of water for the upcoming seaso
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