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1

Sabino, Marlus, Adilson Pacheco de Souza, Eduardo Morgan Uliana, Luana Lisboa, Frederico Terra de Almeida, and Cornélio Alberto Zolin. "Intensity-duration-frequency of maximum rainfall in Mato Grosso State." Ambiente e Agua - An Interdisciplinary Journal of Applied Science 15, no. 1 (2020): 1. http://dx.doi.org/10.4136/ambi-agua.2373.

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Intensive rainfall is an important meteorological variable that is of technical interest in hydraulic projects. This study therefore generated Intensity-Duration-Frequency equations (IDF) for 14 weather stations in Mato Grosso State, based on pluviograph analysis. Annual maximum rainfall data regarding 10-to-1440-minute long rainfall events were collected from digitized daily pluviographs. Data adherence to the generalized extreme value distribution (GEV) was checked through the Kolmogorov-Smirnov test at a 20% significance level. Next, the maximum probable rainfall for return periods such as
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2

Campos, José Nilson B., Ticiana Marinho de Carvalho Studart, Francisco de Assis de Souza Filho, and Victor Costa Porto. "On the Rainfall Intensity–Duration–Frequency Curves, Partial-Area Effect and the Rational Method: Theory and the Engineering Practice." Water 12, no. 10 (2020): 2730. http://dx.doi.org/10.3390/w12102730.

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This research evaluates the partial-area effect and its relationship with the rainfall intensity–duration–frequency (IDF) equations. In the Rational Method, if the critical rainfall duration is shorter than the time of concentration, the partial-area effect occurs. We proved that the partial area could exist for the general ID equation i=a/(b+td)c, only when c>1. For these equations, in the application of the Rational Method, the maximum discharge at basin outlet occurs for rainfall duration (td) equal to b/(c−1). Nevertheless, for that case, the Depth Duration Frequency (DDF) has a maximum
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3

Back, Álvaro José, Sabrina Baesso Cadorin, and Sérgio Luciano Galatto. "Extreme rainfall and IDF equations for Alagoas State, Brazil." Ambiente e Agua - An Interdisciplinary Journal of Applied Science 15, no. 6 (2020): 1. http://dx.doi.org/10.4136/ambi-agua.2544.

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Intensity-duration-frequency (IDF) equations have important applications in several engineering areas such as urban drainage designs, hydrological modeling, and soil conservation projects. This study analyzes the annual maximum series and fits IDF equations for 44 rainfall stations in Alagoas State, Brazil. We adjusted parameters of the Gumbel distribution (GD) and the Generalized Extreme Value (GEV) distribution. The fitting of the observed data to the probability distributions, as well as the selection of the best distribution, were based on the Kolmogorov-Smirnov and Anderson-Darling tests
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4

Back, Álvaro José, Alan Henn, and José Luiz Rocha Oliveira. "Heavy rainfall equations for Santa Catarina, Brazil." Revista Brasileira de Ciência do Solo 35, no. 6 (2011): 2127–34. http://dx.doi.org/10.1590/s0100-06832011000600027.

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Knowledge of intensity-duration-frequency (IDF) relationships of rainfall events is extremely important to determine the dimensions of surface drainage structures and soil erosion control. The purpose of this study was to obtain IDF equations of 13 rain gauge stations in the state of Santa Catarina in Brazil: Chapecó, Urussanga, Campos Novos, Florianópolis, Lages, Caçador, Itajaí, Itá, Ponte Serrada, Porto União, Videira, Laguna and São Joaquim. The daily rainfall data charts of each station were digitized and then the annual maximum rainfall series were determined for durations ranging from 5
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5

Damé, Rita de C. F., Claudia F. A. Teixeira-Gandra, Francisco A. Villela, Jacira P. dos Santos, and Antoniony S. Winkler. "Analysis of the relationship intensity, duration, frequency of disaggregated daily rainfall in southern Rio Grande do Sul, Brazil." Engenharia Agrícola 34, no. 4 (2014): 660–70. http://dx.doi.org/10.1590/s0100-69162014000400006.

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The intensity, duration, and frequency relationship (IDF) of rainfall occurrence may be done through continuous records of pluviographs or daily pluviometer values . The objective of this study was to estimate the intensity-duration-frequency relationships of precipitation, using the method of daily rainfall disaggregation, at weather stations located to the southern half of the state of Rio Grande do Sul; comparing them with those obtained by rain gauge records, in places considered homogeneous from the meteorological point of view. The IDF equation parameters were estimated from daily rainfa
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6

Al Islam, Mahmud, and Hasibul Hasan. "Generation of IDF Equation from Catchment Delineation Using GIS." Civil Engineering Journal 6, no. 3 (2020): 540–47. http://dx.doi.org/10.28991/cej-2020-03091490.

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The study was intended to find out the catchment characteristics of an area and the IDF (Intensity-Duration-Frequency) analysis of rainfall of that area using Gumbel method and Log Pearson type III method. In different studies, the IDF equations are generated for an area without acknowledging the catchment, stream length of the catchment and the time of concentration. In our study the Digital Elevation Map (DEM) of Dhaka was used. The DEM was analyzed using QGIS to find out different catchments, catchment area, catchment slope, stream length etc. The rainfall data of 18 years was collected fro
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7

Silva, Simone Rosa da, and George Rodrigues De Sousa Araújo. "Algoritmo para Determinação da Equação de Chuvas Intensas (Algorithm to Determine the Equation of Intense Rain)." Revista Brasileira de Geografia Física 6, no. 5 (2013): 1371. http://dx.doi.org/10.26848/rbgf.v6i5.233110.

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Estudos hidrológicos regionais são necessários em obras de engenharia relacionadas ao planejamento e aproveitamento dos recursos hídricos, pois eventos extremos de precipitações estão diretamente relacionados com os custos e a segurança das obras de aproveitamento hídrico, tais como: sistema de drenagem de águas pluviais, canais e bacias de detenção. O objetivo principal deste trabalho foi desenvolver e aplicar um algoritmo para determinação de parâmetros das equações IDF - Intensidade-Duração-Frequência, visando tornar o processo ágil a partir dos dados disponíveis de precipitação. Foi elabor
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8

Cruz, Josias Da Silva, Igor Henrique Coelho Alves, Cleidson Da Silva Alves, Nélio Moura de Figueiredo, Evanice Pinheiro Gomes, and Carlos Eduardo Aguiar de Souza Costa. "EQUAÇÕES DE CHUVAS INTENSAS COM DADOS CPC MORPHING TECHNIQUE (CMORPH) PARA O MUNICÍPIO DE ALTAMIRA - PA." IRRIGA 24, no. 1 (2019): 192–207. http://dx.doi.org/10.15809/irriga.2019v24n1p192-207.

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EQUAÇÕES DE CHUVAS INTENSAS COM DADOS CPC MORPHING TECHNIQUE (CMORPH) PARA O MUNICÍPIO DE ALTAMIRA - PA
 
 
 JOSIAS DA SILVA CRUZ1; IGOR HENRIQUE COELHO ALVES1; CLEIDSON DA SILVA ALVES1; NELIO MOURA DE FIGUEIREDO2; EVANICE PINHEIRO GOMES1 E CARLOS EDUARDO AGUIAR DE SOUZA COSTA1
 
 1Programa de Pós-Graduação de Engenharia de Civil, Universidade Federal do Pará, Rua Augusto Corrêa, 1 - Guamá, 66075-110, Belém – Pará – Brasil. E-mail: josias.cruz75@gmail.com, igor_alves12@yahoo.com.br, cleidsonalves.eng.mecanica@gmail.com, vava51.gomes@gmail.com, eduardoaguiarsc@hotmail.c
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9

Ehiorobo, J. O., O. C. Izinyon, and R. I. Ilaboya. "Development of Intensity Duration Frequency (IDF) Curves for Rainfall Prediction within the Middle Niger River Basin." Nigerian Journal of Environmental Sciences and Technology 4, no. 2 (2020): 382–97. http://dx.doi.org/10.36263/nijest.2020.02.0231.

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Rainfall Intensity-Duration-Frequency (IDF) relationship remains one of the mostly used tools in hydrology and water resources engineering, especially for planning, design and operations of water resource projects. IDF relationship can provide adequate information about the intensity of rainfall at different duration for various return periods. The focus of this research was to develop IDF curves for the prediction of rainfall intensity within the middle Niger River Basin (Lokoja and Ilorin) using annual maximum daily rainfall data. Forty (40) year’s annual maximum rainfall data ranging from 1
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10

Choi, Hyunjun, Jung Yeol Sung, and Beob Gyun Kim. "Neutral detergent fiber rather than other dietary fiber types as an independent variable increases the accuracy of prediction equation for digestible energy in feeds for growing pigs." Asian-Australasian Journal of Animal Sciences 33, no. 4 (2020): 615–22. http://dx.doi.org/10.5713/ajas.19.0103.

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Objective: The objectives were to investigate correlations between energy digestibility (digestible energy [DE]:gross energy [GE]) and various fiber types including crude fiber (CF), total dietary fiber (TDF), soluble dietary fiber (SDF), insoluble dietary fiber (IDF), neutral detergent fiber (NDF), and acid detergent fiber (ADF), and to develop prediction equations for estimating DE in feed ingredients and diets for growing pigs.Methods: A total of 289 data with DE values and chemical composition of feeds from 39 studies were used to develop prediction equations for DE. The equations were val
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11

Silveira, André Luiz Lopes da. "Cumulative equations for continuous time Chicago hyetograph method." RBRH 21, no. 3 (2016): 646–51. http://dx.doi.org/10.1590/2318-0331.011615094.

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ABSTRACT The Chicago method is a classical method based on IDF curves for obtaining design hyetographs which present rainfall rates as continuous functions of time, one valid for times before peak and another for after peak. The intensity peak of rainfall is arbitrarily positioned at time zero, the function before peak counting time reversely and the function after peak with time axis normally. The time duration of the hyetograph before peak is determined by multiplying the total duration by a displacement factor with value between zero and one. This technical note presents both equations for
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12

Awadallah, Ayman G., Mostafa Magdy, Ehab Helmy, and Ehab Rashed. "Assessment of Rainfall Intensity Equations Enlisted in the Egyptian Code for Designing Potable Water and Sewage Networks." Advances in Meteorology 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/9496787.

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The design of combined sewage system networks is based on the sanitary discharge (domestic, industrial) and the runoff generated by rainfall. The Egyptian code of practice for designing potable water and sewage networks gives two Intensity-Duration-Frequency (IDF) equations to calculate the intensity of rainfall to be applied to all cities of Egypt. The purpose of this research is to study and assess the adequacy of the rainfall intensity equations suggested by the aforementioned Egyptian code. This is carried out taking into consideration the available rainfall ground station measurements and
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13

Campos, Alcinei Ribeiro, João Batista Lopes da Silva, Glenio Guimarães Santos, Rafael Felippe Ratke, and Itauane Oliveira de Aquino. "Estimate of intense rainfall equation parameters for rainfall stations of the Paraíba State, Brazil." Pesquisa Agropecuária Tropical 47, no. 1 (2017): 15–21. http://dx.doi.org/10.1590/1983-40632016v4743821.

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ABSTRACT Rainfall is the primary water source for hydrographic basins. Hence, the quantification and knowledge of its temporal and spatial distribution are indispensable in dimensioning hydraulic projects. This study aimed at assessing the fit of a series of rainfall data to different probability models, as well as estimating parameters of the intensity-duration-frequency (IDF) equation for rain stations of the Paraíba State, Brazil. The rainfall data of each station were obtained from the Brazilian Water Agency databanks. To estimate the maximum daily rainfall of each station and return perio
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14

Agbazo, Médard Noukpo, Gabin Koto N'Gobi, Basile Kounouhewa, Eric Alamou, Abel Afouda, and Aristide Akpo. "Estimation of IDF Curves of Extreme Rainfall by Simple Scaling in Northern Oueme Valley, Benin Republic (West Africa)." Earth Sciences Research Journal 20, no. 1 (2016): 1–7. http://dx.doi.org/10.15446/esrj.v20n1.49405.

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<p>Rainfall intensity-duration-frequency (IDF) curves are of particular importance in water resources management, for example, in urban hydrology, for the design of hydraulic structures and the estimation of the flash flood risk in small catchments. IDF curves describe rainfall intensity as a function of duration and return period, and they are significant for water resources planning, as well as for the design of hydraulic constructions and structures. In this study, scaling properties of extreme rainfall are examined to establish the scaling behavior of statistical non-central moment o
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15

Moreira, Patrick Gomes, Amanda Carvalho Vilas Boas, Priscila Félix Almeida, and João Batista Lopes da Silva. "EQUATIONS OF INTENSITY, DURATION AND FREQUENCY FOR THE PERUÍPE, ITANHÉM AND JUCURUÇU RIVER BASINS." REVISTA ENGENHARIA NA AGRICULTURA - REVENG 28 (December 31, 2020): 571–78. http://dx.doi.org/10.13083/reveng.v29i1.8553.

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The intense rainfall equations present a great technical interest for hydraulic works projects. In the State of Bahia, there are only 19 equations of intensity, duration and frequency modeling, requiring a greater number of equations for the State. The most recent ones are almost 15 years old, with only two in the Peruípe, Itanhém and Jucuruçu river basins. Thus, the objective of this work was to determine the parameters of the equations of intensity, duration and frequency (IDF) of the rainfall stations for different locations of the basins of the Peruípe, Itanhém and Jucuruçu rivers, located
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16

Geistanger, Andrea, Sabine Arends, Christoph Berding, et al. "Statistical Methods for Monitoring the Relationship between the IFCC Reference Measurement Procedure for Hemoglobin A1c and the Designated Comparison Methods in the United States, Japan, and Sweden." Clinical Chemistry 54, no. 8 (2008): 1379–85. http://dx.doi.org/10.1373/clinchem.2008.103556.

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Abstract Background: The American Diabetes Association (ADA)/European Association for the Study of Diabetes (EASD)/International Diabetes Federation (IDF)/IFCC Consensus Statement on the worldwide standardization of HbA1c states that “… [HbA1c] results are to be reported world-wide in IFCC units … and derived NGSP units … , using the IFCC-NGSP master equation.” Methods: We describe statistical methods to evaluate and monitor the relationships as expressed in master equations (MEs) between the IFCC Reference Measurement procedure (IFCC-RM) and designated comparison methods (DCMs) [US National G
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17

JÚLIO GONÇALVES, LORENA, CRISTIANO TAGLIAFERRE, MANOEL NELSON DE CASTRO FILHO, RODRIGO LACERDA BRITO NETO, BISMARC LOPES DA SILVA, and FELIZARDO ADENILSON ROCHA. "DETERMINAÇÃO DA EQUAÇÃO INTENSIDADE-DURAÇÃO-FREQUÊNCIA PARA ALGUMAS LOCALIDADES DO ESTADO DA BAHIA." IRRIGA 1, no. 1 (2019): 109–15. http://dx.doi.org/10.15809/irriga.2019v1n1p109-115.

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DETERMINAÇÃO DA EQUAÇÃO INTENSIDADE-DURAÇÃO-FREQUÊNCIA PARA ALGUMAS LOCALIDADES DO ESTADO DA BAHIA
 
 
 LORENA JÚLIO GONÇALVES1; CRISTIANO TAGLIAFERRE2; MANOEL NELSON DE CASTRO FILHO3; RODRIGO LACERDA BRITO NETO4; BISMARC LOPES DA SILVA5 E FELIZARDO ADENILSON ROCHA6
 
 1 Departamento de Engenharia Agrícola e Solos da Universidade Estadual do Sudoeste da Bahia (UESB); Estrada do Bem Querer, Km 04; Caixa Postal 95; CEP 45031-900, Vitória da Conquista – BA, lorenagoncalves.agro@gmail.com;
 2 Departamento de Engenharia Agrícola e Solos da Universidade Estadual do Sudo
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18

Bragg, Anna, Kristi Crowe-White, Amy Ellis, et al. "Changes in Cardiometabolic Risk Among Obese Older Adults After a 12-Month Exercise and Diet Intervention." Current Developments in Nutrition 4, Supplement_2 (2020): 1612. http://dx.doi.org/10.1093/cdn/nzaa063_010.

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Abstract Objectives Obesity imposes risk to cardiometabolic health; however, intentional weight loss in obese older adults remains controversial. Using data from the CROSSROADS Study (clinicaltrials.gov #NCT00955903), this ancillary study investigated effects of exercise with and without intentional weight loss on changes in cardiometabolic risk assessed by four risk-scoring tools. Methods Participants (n = 134, 39% male, 23% African American, 70.2 ± 4.7 y) were randomized to exercise (n = 48), exercise + nutrient-dense weight maintenance diet (n = 44), or exercise + nutrient-dense caloric res
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19

Hsiang, Jen-Tsung, and B. L. Hu. "Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction." Physics 1, no. 3 (2019): 430–44. http://dx.doi.org/10.3390/physics1030031.

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In this paper, we dwell on three issues: (1) revisit the relation between vacuum fluctuations and radiation reaction in atom-field interactions, an old issue that began in the 1970s and settled in the 1990s with its resolution recorded in monographs; (2) the fluctuation–dissipation relation (FDR) of the system, pointing out the differences between the conventional form in linear response theory (LRT) assuming ultra-weak coupling between the system and the bath, and the FDR in an equilibrated final state, relaxed from the nonequilibrium evolution of an open quantum system; (3) quantum radiation
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20

Thilmany, Jean. "Speaking Different Languages." Mechanical Engineering 123, no. 02 (2001): 53–55. http://dx.doi.org/10.1115/1.2001-feb-3.

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This article illustrates the importance of interoperability between computer-aided design (CAD), computer-aided manufacturing (CAM), and computer-aided engineering (CAE) software. Interoperability is an intricate concept, rife with accusation and blame-laying, and dependent on the unseen algorithms and mathematical equations that drive the lines and geometries CAD users see on screen. At the Daratech 2000 summit, a panel of technology users and technology vendors worked together to draft what was called a symposium communique that challenged suppliers to cooperate more with one another to move
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21

Long, Jinjiang, Xin Chen, and Yuanguo Zhu. "A connection between stochastic differential equations and uncertain differential equations." International Mathematical Forum 16, no. 1 (2021): 49–56. http://dx.doi.org/10.12988/imf.2021.912197.

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22

Jakimczuk, Rafael. "Diophantine equations. Elementary methods." International Mathematical Forum 12 (2017): 429–38. http://dx.doi.org/10.12988/imf.2017.7223.

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23

Jakimczuk, Rafael. "Diophantine equations. Elementary methods II." International Mathematical Forum 12, no. 20 (2017): 953–65. http://dx.doi.org/10.12988/imf.2017.71192.

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24

Geiser, J. "Operator splitting methods for wave equations." International Mathematical Forum 2 (2007): 2141–60. http://dx.doi.org/10.12988/imf.2007.07191.

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25

Velarde, G., J. M. Aragones, J. A. Gago, et al. "Analysis of directly driven ICF targets." Laser and Particle Beams 4, no. 3-4 (1986): 349–92. http://dx.doi.org/10.1017/s0263034600002056.

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In this article the current capabilities at DENIM for the analysis of directly driven targets are presented. These include theoretical, computational and applied physical studies and developments of detailed simulation models for the most relevant processes in ICF. The simulation of directly driven ICF targets is carried out with the one-dimensional NORCLA code developed at DENIM. This code contains two main segments: NORMA and CLARA, able to work fully coupled and in an iterative manner. NORMA solves the hydrodynamic equations in a lagrangian mesh. It has modular programs coupled to it to tre
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26

HOSSEINIMOTLAGH, S. N. "ANALYTICAL SOLUTIONS TO BRAJINSKII'S EQUATIONS FOR NUCLEAR FUSION PLASMA BY USING ICF METHOD." International Journal of Modern Physics E 17, no. 06 (2008): 1131–39. http://dx.doi.org/10.1142/s0218301308010349.

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Brajinskii's equations are the fundamental relations governing the behavior of the plasma produced during a fusion reaction, especially ICF plasma. These equations contains six partial differentials coupled together. In this paper we have tried to give analytical solutions to these equations using a one-dimensional method. Laplace transform technique is the main tool to do that with an arbitrary boundary and initial conditions for some special cases.
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27

Wenchang, Chu. "Regular polygonal numbers and generalized Pell equations." International Mathematical Forum 2 (2007): 781–802. http://dx.doi.org/10.12988/imf.2007.07070.

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28

Robin, W. "Ladder-operator factorization and the Bessel differential equations." International Mathematical Forum 9 (2014): 71–80. http://dx.doi.org/10.12988/imf.2014.311214.

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Bruno, Alexander D. "Asymptotic solution of nonlinear algebraic and differential equations." International Mathematical Forum 10 (2015): 535–64. http://dx.doi.org/10.12988/imf.2015.5974.

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Auluck, S. K. H. "New terms in MHD equations and their implications for the inertial confinement fusion concept." Journal of Plasma Physics 36, no. 2 (1986): 211–34. http://dx.doi.org/10.1017/s0022377800011703.

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The MHD equations are rederived without neglecting the electron inertia and new terms are obtained. The revised equations predict that strong magnetic fields are spontaneously generated even in an ideally symmetric ICF implosion in contrast to the conventional theory where an ideal ICF implosion is considered to be free of magnetic fields. The dynamics of the implosion is found to be governed by the space-time structure of the magnetic field. Departures from neutrality are taken into account and an explicit equation is obtained for the evolution of the charge density. The complexity of the imp
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31

Couto, Oliver. "Taxicab equations for power two, three, four & five." International Mathematical Forum 9 (2014): 561–77. http://dx.doi.org/10.12988/imf.2014.419.

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Husain, Shamshad, and Huma Sahper. "System of generalized resolvent equations involving H(.,.)-cocoercive operator." International Mathematical Forum 10 (2015): 499–512. http://dx.doi.org/10.12988/imf.2015.5651.

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Altaie, Huda, and Pierre Dreyfuss. "Numerical solutions for 2D depth-averaged shallow water equations." International Mathematical Forum 13, no. 2 (2018): 79–90. http://dx.doi.org/10.12988/imf.2018.712102.

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34

Doha, Eid H., Mohamed A. Abdelkawy, Ahmed Z. M. Amin, and Dumitru Baleanu. "Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations." Nonlinear Analysis: Modelling and Control 24, no. 3 (2019): 332–52. http://dx.doi.org/10.15388/na.2019.3.2.

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This article addresses the solution of multi-dimensional integro-differential equations (IDEs) by means of the spectral collocation method and taking the advantage of the properties of shifted Jacobi polynomials. The applicability and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple and very accurate. Furthermore, an error analysis is performed to verify the correctness and feasibility of the proposed method when solving IDE.
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Afrouzi, G. A., and S. H. Rasouli. "A remark on a nonlinear system of reaction-diffusion equations." International Mathematical Forum 2 (2007): 179–85. http://dx.doi.org/10.12988/imf.2007.07016.

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36

Hosseinzadeh, H., and G. A. Afrouzi. "A new method for finding solution of nonhomogeneous difference equations." International Mathematical Forum 2 (2007): 1935–43. http://dx.doi.org/10.12988/imf.2007.07175.

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37

Jain, Rinku, and Kirti Arekar. "Fredholm type integral equations with Aleph-function and general polynomials." International Mathematical Forum 8 (2013): 989–99. http://dx.doi.org/10.12988/imf.2013.13107.

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38

Ryan, Richard F. "Results for special cases of Goormaghtigh's equation and related equations." International Mathematical Forum 11 (2016): 329–36. http://dx.doi.org/10.12988/imf.2016.6117.

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39

Bassey, U. N., and U. S. Idiong. "A remark on solutions of Lame equations with elliptic potentials." International Mathematical Forum 13, no. 6 (2018): 293–302. http://dx.doi.org/10.12988/imf.2018.828.

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40

Park, Chul H., and Amr Baz. "Vibration Control of Beams with Negative Capacitive Shunting of Interdigital Electrode Piezoceramics." Journal of Vibration and Control 11, no. 3 (2005): 331–46. http://dx.doi.org/10.1177/107754605040949.

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A pair of interdigital electrode (IDE) piezoceramics is used to simultaneously suppress multimode vibrations of a cantilevered beam. This is achieved by connecting the IDE piezoceramics in parallel to a negative capacitive shunt circuit. The governing equations of motion of an IDE piezo/beam system and associated boundary conditions are derived using the Hamilton principle. The obtained mathematical model is validated experimentally Attenuations ranging between 5 and 20 dB are obtained for all the vibration modes over the frequency range of 0-3000 Hz. The presented theoretical and experimental
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Cieza, Oscar, and Johann Reger. "Algebraic IDA-PBC for Polynomial Systems with Input Saturation: An SOS-based Approach." Revista Politécnica 42, no. 2 (2019): 23–30. http://dx.doi.org/10.33333/rp.vol42n2.1016.

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The necessity to deal with partial differential equations (PDEs) and the dissipation condition are the mainadversities in the application of Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC). Recently,an algebraic solution of IDA-PBC has been explored for a class of affine polynomial systems by using sum of squares(SOS) and semidefinite programming (SDP). In this work, we extend the previous method by incorporating actuatorsaturation (AS) and two minimization objectives in the SDP. Our results are validated on two polynomial systems.
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Hosseinzadeh, H., and G. A. Afrouzi. "Backward r-difference operator and finding solution of nonhomogeneous difference equations." International Mathematical Forum 2 (2007): 1945–56. http://dx.doi.org/10.12988/imf.2007.07176.

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43

Hosseinzadeh, H., and G. A. Afrouzi. "Forward r-difference operator and finding solution of nonhomogeneous difference equations." International Mathematical Forum 2 (2007): 1957–68. http://dx.doi.org/10.12988/imf.2007.07177.

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44

Robin, W. "Series solutions of partial differential equations using the complex integral method." International Mathematical Forum 9 (2014): 1477–94. http://dx.doi.org/10.12988/imf.2014.48145.

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45

Pomraning, G. C. "Radiative transfer in Rayleigh–Taylor unstable ICF pellets." Laser and Particle Beams 8, no. 4 (1990): 741–51. http://dx.doi.org/10.1017/s0263034600009137.

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A formulation of radiative transfer is discussed describing energy flow in a turbulent mixture in the vicinity of a Rayleigh–Taylor unstable interface, as might be extant in an ICF pellet. Included in this discussion are (1) the method of smoothing and the Liouville master equation approaches in the case of Markovian statistics as the description of the fluid mixing, (2) the use of asymptotics to derive various limiting descriptions of the Markov model, (3) the use of the theory of alternating renewal processes to obtain an integral equation formulation for non-Markovian statistics, and (4) th
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46

Ye, Junyou, Zhixia Yang, and Zhilin Li. "Quadratic hyper-surface kernel-free least squares support vector regression." Intelligent Data Analysis 25, no. 2 (2021): 265–81. http://dx.doi.org/10.3233/ida-205094.

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We present a novel kernel-free regressor, called quadratic hyper-surface kernel-free least squares support vector regression (QLSSVR), for some regression problems. The task of this approach is to find a quadratic function as the regression function, which is obtained by solving a quadratic programming problem with the equality constraints. Basically, the new model just needs to solve a system of linear equations to achieve the optimal solution instead of solving a quadratic programming problem. Therefore, compared with the standard support vector regression, our approach is much efficient due
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47

Lovegrove, A. F., I. M. Moroz, and P. L. Read. "Bifurcations and instabilities in rotating two-layer fluids: I.f-plane." Nonlinear Processes in Geophysics 8, no. 1/2 (2001): 21–36. http://dx.doi.org/10.5194/npg-8-21-2001.

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Abstract. In this paper, we show that the behaviour of weakly nonlinear waves in a 2-layer model of baroclinic instability on an f-plane with varying viscosity is determined by a single, degenerate codimension three bifurcation. In the process, we show how previous studies, using the method of multiple scales to derive evolution equations for the slowly varying amplitude of the growing wave, arise as special limits of the general evolution description. A companion study will extend the results to a β-plane.
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48

Kaneda, Takeshi, and Keishiro Niu. "Kinetic analysis of propagating ion beam with leading and trailing edges as ICF energy driver." Laser and Particle Beams 7, no. 2 (1989): 207–17. http://dx.doi.org/10.1017/s0263034600005978.

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Analysis is given for nonstationary propagation of rotating ion beam which has a finite length on the basis of Vlasov–Maxwell equations. The beam velocity distribution function is assumed to have a form of product of a modification function g which depends on time and axial coordinate multiplied by a steady solution fb0 which is a known function of particle velocity and radial coordinate. Unknown function g is solved as the solution of Vlasov equation through electromagnetic fields induced by leading and trailing edges. These electromagnetic fields can be solved from the Maxwell equations by u
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49

Namjoo, M., and A. R. Soheili. "An estimate of the error for strong solutions of stochastic differential equations." International Mathematical Forum 2 (2007): 251–62. http://dx.doi.org/10.12988/imf.2007.07024.

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50

Abdel-All, N. H., and E. I. Abdel-Galil. "Numerical treatment of geodesic differential equations on a surface in R^3." International Mathematical Forum 8 (2013): 15–29. http://dx.doi.org/10.12988/imf.2013.13003.

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