Academic literature on the topic 'LEGENDERS FUNCTIONS'

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Journal articles on the topic "LEGENDERS FUNCTIONS"

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van der Toorn, Ramses. "The Singularity of Legendre Functions of the First Kind as a Consequence of the Symmetry of Legendre’s Equation." Symmetry 14, no. 4 (April 4, 2022): 741. http://dx.doi.org/10.3390/sym14040741.

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Legendre’s equation is key in various branches of physics. Its general solution is a linear function space, spanned by the Legendre functions of the first and second kind. In physics, however, commonly the only acceptable members of this set are Legendre polynomials. The quantization of the eigenvalues of Legendre’s operator is a consequence of this. We present and explain a stand-alone and in-depth argument for rejecting all solutions of Legendre’s equation in physics apart from the polynomial ones. We show that the combination of the linearity, the mirror symmetry and the signature of the regular singular points of Legendre’s equation are quintessential to the argument. We demonstrate that the evenness or oddness of Legendre polynomials is a consequence of the same premises.
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Darlam Bagus, Andreow Kony. "STRUKTUR NARASI, FUNGSI DAN NILAI BUDAYA DALAM KUMPULAN LEGENDA DI KALIMANTAN TENGAH." JURNAL BAHASA, SASTRA DAN PEMBELAJARANNYA 9, no. 2 (December 7, 2019): 112. http://dx.doi.org/10.20527/jbsp.v9i2.7475.

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Narrative Structure, Function, and Cultural Values in Legends of CentralKalimantan. Research entitled is motivated by the interest of researcher topreserve the legend of the area that is now almost extinct and forgotten by thecommunity. This study aims to describe (1) the structure of narrative in legends ofcentral kalimantan, (2) the function of legend in legendsof central kalimantan, (3)cultural values in legends of central kalimantan. This research used a descriptivemethod. the data source can be from fifteen legends in central kalimantan creationby Prof. Drs. Kumpiady Widen, MA, Ph. D then collected through severaltechniques, classified, analyzed, and concluded. Based on the results of dataanalysis, it can be concluded that of the fifteen legends that have been analyzed,there are ten local legends and five individual legends. Based on analysis of thenarrative structure, the five narrative stages are found from the fifteen legends.Based on analysis of legend’s function, the six functions of legend used as theory inthis study, only found four functions of legend, the function of legend to help theeducation of young people, increase feelings of solidarity of group, socialsanctions for people who behave well or punish, and last as a means of socialcriticism. based on analysis of the cultural values contained in these fifteen legendsfound five cultural values, namely: the cultural values of human life, the culturalvalues of human works, the cultural values of human perceptions of time, thecultural values of the human view of nature and the latter are cultural valueshuman relationships with others. Key words: naration structure, legendary function, culture values Abstrak Struktur Narasi, Fungsi, dan Nilai Budaya dalam Kumpulan Legenda diKalimantan Tengah. Penelitian ini dilatarbelakangi oleh ketertarikan penelitiuntuk melestarikan legenda daerah yang sekarang sudah hampir punah dandilupakan oleh masyarakat. Penelitian ini bertujuan mendeskripsikan (1) Strukturnarasi dalam kumpulan legenda di Kalimantan Tengah (2) Fungsi legenda dalamkumpulan legenda di Kalimantan Tengah (3) Nilai Budaya dalam kumpulanlegenda di Kalimantan Tengah. Penelitian ini menggunakan metode deskriptif. Sumber data didapat dari lima belas legenda yang ada di Kalimantan Tengahkarya Prof. Drs. Kumpiady Widen, MA, Ph. D. Berdasarkan analisis mengenaistruktur narasi, kelima tahap narasi ditemukan dari lima belas legenda tersebut.Berdasarkan analisis mengenai fungsi legenda, dari enam fungsi legenda yang dijadikan teori dalam penelitian ini hanya ditemukan empat fungsi legenda.Berdasarkan analisis mengenai nilai budaya yang terkandung dalam kelima belaslegenda tersebut ditemukan lima nilai budaya, yaitu nilai budaya tentang hidupmanusia, nilai budaya tentang karya manusia, nilai budaya persepsi manusiatentang waktu, nilai budaya pandangan manusia terhadap alam dan yang terakhirnilai budaya hubungan manusia dengan sesama. Kata-kata kunci: struktur narasi, fungsi legenda, nilai budaya
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Khan, Nabiullah U., and Talha Usman. "Certain generating functions of Hermite - Bernoulli - Legendre polynomials." Ufimskii Matematicheskii Zhurnal 10, no. 2 (2018): 118–26. http://dx.doi.org/10.13108/2018-10-2-118.

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4

Chan, Fuk‐Lok, Kim‐Ming Lau, and Robert J. Finkelstein. "Grassmannian Legendre functions." Journal of Mathematical Physics 33, no. 8 (August 1992): 2688–96. http://dx.doi.org/10.1063/1.529590.

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5

Jones, D. L., and C. P. Burke. "Zonal harmonic series expansions of Legendre functions and associated Legendre functions." Journal of Physics A: Mathematical and General 23, no. 14 (July 21, 1990): 3159–68. http://dx.doi.org/10.1088/0305-4470/23/14/015.

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6

Mereu, Myriam. "Cogas, janas e le altre: le creature mitiche e fantastiche nella letteratura e nel cinema sardi." Italianistica Debreceniensis 24 (December 1, 2018): 56–76. http://dx.doi.org/10.34102/italdeb/2018/4661.

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Sardinian contemporary literature and films have recently recovered an extensive heritage of folk myths and legends taken from the oral tradition. Legendary figures, such as accabadoras (female figure who was enabled with the task of easing the sufferings of the dying people), and fantasy creatures, such as cogas, surbiles (‘vampire witches’), janas (‘fairies, pixies’), and panas (‘the ghosts of women who died in childbirth’) are being revived by writers and film directors with the purpose to bring their memory back to life and share it with a wide audience of readers and spectators. The analysis of imaginary and legendary creatures in Sardinian contemporary literature cannot overlook orality and its central role in shaping popular imagination over the centuries. Writing has replaced orality, whilst mass media and digital media are getting the upper hand over storytelling as a practice of community and family aggregation, meant to mark the long working hours and scare the children, amongst the most common functions of Sardinian oral storytelling. The literary corpus includes fairy tales, novels, tales and legends dealing with the Sardinian oral tradition, whilst on the cinematic side I will examine short films, feature films and documentaries made in Sardinia over the last fifteen years.
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7

Love. "EXPANSION VIA LEGENDRE FUNCTIONS." Real Analysis Exchange 19, no. 1 (1993): 50. http://dx.doi.org/10.2307/44153808.

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8

Babich, V. M., D. B. Dement’ev, and B. A. Samokish. "Computation of Legendre functions." Journal of Mathematical Sciences 148, no. 5 (February 2008): 639–49. http://dx.doi.org/10.1007/s10958-008-0014-3.

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Jung, Soon-Mo. "Approximation of analytic functions by Legendre functions." Nonlinear Analysis: Theory, Methods & Applications 71, no. 12 (December 2009): e103-e108. http://dx.doi.org/10.1016/j.na.2008.10.007.

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10

Lohöfer, G. "Inequalities for Legendre functions and Gegenbauer functions." Journal of Approximation Theory 64, no. 2 (February 1991): 226–34. http://dx.doi.org/10.1016/0021-9045(91)90077-n.

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Dissertations / Theses on the topic "LEGENDERS FUNCTIONS"

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Khan, Mumtaz Ahmad, and Mukesh Pal Singh. "A study of two variables Legendre polynomials." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96205.

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The present paper deals with a study of a two variable polynomial Pn(x) analogues to the Legendre polynomial Pn(x). The paper contains differential recurrence relations, a partial differential equation, double generating functions, double and triple hypergeometric forms, a special property and a bilinear double generating function for the newly defined polynomials Pn,k(x, y).
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2

Laureano, Monyka Marianna Massolini. "Estudo genético quantitativo do fluxo lácteo em bovinos da raça Holandesa /." Jaboticabal : [s.n.], 2008. http://hdl.handle.net/11449/102782.

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Resumo: Parâmetros genéticos para o fluxo lácteo medido no dia do controle (FLDC) de primeiras lactações de vacas da raça Holandesa foram estimados utilizando modelos de dimensão finita (TDM) e modelos de regressão aleatória. Para os TDM foram analisadas 10 características por meio de modelos uni e bi e multi-características e de repetibilidade, que continham como aleatórios, o efeito genético aditivo e o efeito residual e, como efeitos fixos, o grupo de contemporâneos e as covariáveis idade da vaca ao parto. A variável número de dias em lactação foi incluída somente no modelo de repetibilidade. Para os MRA, foram considerados os efeitos aleatórios genético aditivo direto, de ambiente permanente e o residual. Foram considerados como efeitos fixos, o grupo de contemporâneos, os efeitos linear e quadrático da covariável idade da vaca ao parto e a curva média de lactação da população, modelada por meio de polinômios ortogonais de Legendre de quarta ordem. Os efeitos aleatórios genético aditivo e de ambiente permanente foram modelados por meio de regressão aleatória sobre polinômios ortogonais de Legendre e por meio de funções b-splines. Diferentes estruturas de variâncias residuais foram testadas, por meio de classes contendo 1, 7, 10, 20 e 43 variâncias residuais, para os MRA modelados por meio de polinômios de Legendre. Já, para os MRA modelados por funções b-splines, a estrutura residual foi considerada heterogênea, contendo 7 classes de variâncias. Os MRA foram comparados usando o teste de razão de verossimilhança, o critério de informação de Akaike e o critério de informação de Bayesiano de Schwarz. As estimativas de herdabilidade (h2) para os FLDC variaram de 0,23 a 0,32 nas análises unicaracterísticas, de 0,24 a 0,32 nas bi-características e de 0,28 a 0,37 nas multicaracterísticas. Os valores de h2 estimados variaram no decorrer da... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: Flow milk genetic parameters to the first lactation test-day milk yields of Holstein cattle were estimated using Test-day models (TDM) and Random regression models (RRM). Ten TDM differents traits were analyzed using uni, bi and multi-trait and repeatability animal models, that included the additive genetic as random effect and the fixed effects of contemporary group, age of cow (linear and quadratic) as covariables. The days in milk (linear) variable was included only at repeatability model. To RRM were included the additive genetic, permanent environmental and residual as random effects, the fixed effects of contemporary group, age of cow as covariable (linear and quadratic effects) and a 4th-order Legendre orthogonal polynomials of days in milk, to model the mean trend. The additive genetic and permanent environmental effects were fitted by Legendre orthogonal polynomials and b-splines functions. Different structures of residual variances were used, through the variances classes containing 1, 7, 10, 20, and e 43 residual variances, to the models fitted by Legendre orthogonal polynomials. Moreover, for the RRM fitted by b-splines-functions, the residual estructure was considered heterogeneous, having 7 variance classes. The RRM were compared by Likelihood ratio test, Bayesian and Akaike's information criteria. The heritability estimated ranged from 0.23 to 0.32 by uni-trait analyses, from 0.24 to 0.32 by bi-traits analyses and from 0.28 to 0.37 by multi-trait analyses. The h2 estimates varied during the lactation being the highest estimate at the fourth month. The estimate obtained by the repeatability model was 0.27, and a repeatability estimate of 0.66. For the MRA fitted by Legendre orthogonal polynomials, related to the residual variance, the best model the one that deemed 7 residual classes. For the additive and permanent environmental effects, the having 3th-order... (Complete abstract click electronic access below)
Orientadora: Lúcia Galvão de Albuquerque
Coorientadora: Lenira El Faro Zadra
Banca: Laila Talarico Dias Teixeira
Banca: Anibal Eugênio Vercesi Filho
Banca: Humberto Tonhati
Banca: Henrique Nunes de Oliveira
Doutor
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3

White, Edward C. Jr. "Polar - legendre duality in convex geometry and geometric flows." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/24689.

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4

Sesana, Roberta Cristina [UNESP]. "Estimativas de parâmetros genéticos para produção de leite em búfalas por modelos de repetibilidade, multi-característica e de regressão aleatória." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/92606.

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Foram estimados parâmetros genéticos da produção de leite acumulada até os 305 dias de lactação (P305) de 1.946 búfalas da raça Murrah no decorrer da idade ao parto utilizando os modelos de repetibilidade, multi-característica e de regressão aleatória (MRA), e correlações de ordem entre os valores genéticos para a P305 nas diferentes idades ao parto preditos pelos modelos de regressão aleatória e de repetibilidade e para a P305 acumulada até os 8 anos de idade, considerando diferentes intensidades seletivas, número de filhas e sua distribuição nos rebanhos. Também foram estimados parâmetros genéticos para a produção de leite no dia do controle (PLDC) de 1.433 primeiras lactações de búfalas da raça Murrah utilizando MRA. Os modelos de repetibilidade e multi-característica incluíram para a P305 os efeitos fixos de grupo de contemporâneos composto por rebanho, ano e estação do parto, número de ordenhas (1 ou 2 ordenhas diárias) e o efeito linear e quadrático da covariável idade da vaca ao parto e os efeitos aleatórios de animal, ambiente permanente e residual, com exceção do efeito de ambiente permanente para o segundo modelo. No MRA, as análises tanto para a P305 quanto para a PLDC foram realizadas por meio de um modelo uni-característica de regressão aleatória, considerando os mesmos efeitos aleatórios e fixos dos modelos de repetibilidade e multi-característica. No entanto, para a PLDC o GC foi composto por rebanho, ano e mês do controle. Uma regressão ortogonal de terceira ordem foi usada para modelar a trajetória média da população e os efeitos genéticos aditivos e de ambiente permanente. O MRA considerando um polinômio de Legendre de terceira ordem para os efeitos genético aditivo e de ambiente permanente e uma função de variância de segunda ordem (3.3.fv2) foi o mais adequado para o ajuste...
Genetic parameters were estimated for accumulated 305-day milk yields (P305) of 1,946 Murrah buffaloes in different ages of calving using repeatability, multi-trait and random regression models (RRM) and Spearman correlation among the breeding values for P305 in different ages of calving predicted using RRM and repeatability models and for accumulated P305 until 8 years old, considering different selective intensities, number of daughters and its distribution in herds. Were also estimated genetic parameters for first lactation test day milk yields (PLDC) of 1,433 Murrah buffaloes using RRM. repeatability and multi-trait models for the P305 included the fixed effects of contemporary group, composed by herd, year and season of calving, milking frequency (1 or 2), age at calving as covariable with linear and quadratic effect and animal, permanent environmental and residual random effects, with exception of the permanent environmental effect for the second model. In the RRM, the analyses for the P305 and PLDC were both achieved through a uni-trait model of random regression, included the same random effects and fixed effects of the repeatability and multi-trait models. However, for the PLDC the contemporary group was composed by herd, year and month of test. A third order regression on Legendre orthogonal polynomial of milk yields was used to model the population mean trend and the additive genetic and permanent environmental regressions. The RRM with a third order covariance function for genetic and permanent environmental effects and a second order variance function (3.3.fv2) was indicated as the best for P305. Heritability estimated for RRM to P305 ranges from 0.19 (6 years) to 0.23 (11 years) and for multi-trait ranged from 0.13 (6 years) to 0.36 (4 years). Heritability estimated for repeatability model was 0.20. Genetics and phenotypic correlation among the P305 in different ages... (Complete abstract click electronic access below)
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5

Schenk, Stefan. "Density functional theory on a lattice." kostenfrei, 2009. http://d-nb.info/998385956/34.

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6

Sesana, Roberta Cristina. "Estimativas de parâmetros genéticos para produção de leite em búfalas por modelos de repetibilidade, multi-característica e de regressão aleatória /." Jaboticabal : [s.n.], 2008. http://hdl.handle.net/11449/92606.

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Resumo: Foram estimados parâmetros genéticos da produção de leite acumulada até os 305 dias de lactação (P305) de 1.946 búfalas da raça Murrah no decorrer da idade ao parto utilizando os modelos de repetibilidade, multi-característica e de regressão aleatória (MRA), e correlações de ordem entre os valores genéticos para a P305 nas diferentes idades ao parto preditos pelos modelos de regressão aleatória e de repetibilidade e para a P305 acumulada até os 8 anos de idade, considerando diferentes intensidades seletivas, número de filhas e sua distribuição nos rebanhos. Também foram estimados parâmetros genéticos para a produção de leite no dia do controle (PLDC) de 1.433 primeiras lactações de búfalas da raça Murrah utilizando MRA. Os modelos de repetibilidade e multi-característica incluíram para a P305 os efeitos fixos de grupo de contemporâneos composto por rebanho, ano e estação do parto, número de ordenhas (1 ou 2 ordenhas diárias) e o efeito linear e quadrático da covariável idade da vaca ao parto e os efeitos aleatórios de animal, ambiente permanente e residual, com exceção do efeito de ambiente permanente para o segundo modelo. No MRA, as análises tanto para a P305 quanto para a PLDC foram realizadas por meio de um modelo uni-característica de regressão aleatória, considerando os mesmos efeitos aleatórios e fixos dos modelos de repetibilidade e multi-característica. No entanto, para a PLDC o GC foi composto por rebanho, ano e mês do controle. Uma regressão ortogonal de terceira ordem foi usada para modelar a trajetória média da população e os efeitos genéticos aditivos e de ambiente permanente. O MRA considerando um polinômio de Legendre de terceira ordem para os efeitos genético aditivo e de ambiente permanente e uma função de variância de segunda ordem (3.3.fv2) foi o mais adequado para o ajuste... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: Genetic parameters were estimated for accumulated 305-day milk yields (P305) of 1,946 Murrah buffaloes in different ages of calving using repeatability, multi-trait and random regression models (RRM) and Spearman correlation among the breeding values for P305 in different ages of calving predicted using RRM and repeatability models and for accumulated P305 until 8 years old, considering different selective intensities, number of daughters and its distribution in herds. Were also estimated genetic parameters for first lactation test day milk yields (PLDC) of 1,433 Murrah buffaloes using RRM. repeatability and multi-trait models for the P305 included the fixed effects of contemporary group, composed by herd, year and season of calving, milking frequency (1 or 2), age at calving as covariable with linear and quadratic effect and animal, permanent environmental and residual random effects, with exception of the permanent environmental effect for the second model. In the RRM, the analyses for the P305 and PLDC were both achieved through a uni-trait model of random regression, included the same random effects and fixed effects of the repeatability and multi-trait models. However, for the PLDC the contemporary group was composed by herd, year and month of test. A third order regression on Legendre orthogonal polynomial of milk yields was used to model the population mean trend and the additive genetic and permanent environmental regressions. The RRM with a third order covariance function for genetic and permanent environmental effects and a second order variance function (3.3.fv2) was indicated as the best for P305. Heritability estimated for RRM to P305 ranges from 0.19 (6 years) to 0.23 (11 years) and for multi-trait ranged from 0.13 (6 years) to 0.36 (4 years). Heritability estimated for repeatability model was 0.20. Genetics and phenotypic correlation among the P305 in different ages... (Complete abstract click electronic access below)
Orientador: Humberto Tonhati
Coorientadora: Lúcia Galvão de Albuquerque
Coorientadora: Lenira El Faro Zadra
Banca: Danísio Prado Munari
Banca: Maria Eugênia Zerlotti Mercadante
Mestre
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7

Laureano, Monyka Marianna Massolini [UNESP]. "Estudo genético quantitativo do fluxo lácteo em bovinos da raça Holandesa." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/102782.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Parâmetros genéticos para o fluxo lácteo medido no dia do controle (FLDC) de primeiras lactações de vacas da raça Holandesa foram estimados utilizando modelos de dimensão finita (TDM) e modelos de regressão aleatória. Para os TDM foram analisadas 10 características por meio de modelos uni e bi e multi-características e de repetibilidade, que continham como aleatórios, o efeito genético aditivo e o efeito residual e, como efeitos fixos, o grupo de contemporâneos e as covariáveis idade da vaca ao parto. A variável número de dias em lactação foi incluída somente no modelo de repetibilidade. Para os MRA, foram considerados os efeitos aleatórios genético aditivo direto, de ambiente permanente e o residual. Foram considerados como efeitos fixos, o grupo de contemporâneos, os efeitos linear e quadrático da covariável idade da vaca ao parto e a curva média de lactação da população, modelada por meio de polinômios ortogonais de Legendre de quarta ordem. Os efeitos aleatórios genético aditivo e de ambiente permanente foram modelados por meio de regressão aleatória sobre polinômios ortogonais de Legendre e por meio de funções b-splines. Diferentes estruturas de variâncias residuais foram testadas, por meio de classes contendo 1, 7, 10, 20 e 43 variâncias residuais, para os MRA modelados por meio de polinômios de Legendre. Já, para os MRA modelados por funções b-splines, a estrutura residual foi considerada heterogênea, contendo 7 classes de variâncias. Os MRA foram comparados usando o teste de razão de verossimilhança, o critério de informação de Akaike e o critério de informação de Bayesiano de Schwarz. As estimativas de herdabilidade (h2) para os FLDC variaram de 0,23 a 0,32 nas análises unicaracterísticas, de 0,24 a 0,32 nas bi-características e de 0,28 a 0,37 nas multicaracterísticas. Os valores de h2 estimados variaram no decorrer da...
Flow milk genetic parameters to the first lactation test-day milk yields of Holstein cattle were estimated using Test-day models (TDM) and Random regression models (RRM). Ten TDM differents traits were analyzed using uni, bi and multi-trait and repeatability animal models, that included the additive genetic as random effect and the fixed effects of contemporary group, age of cow (linear and quadratic) as covariables. The days in milk (linear) variable was included only at repeatability model. To RRM were included the additive genetic, permanent environmental and residual as random effects, the fixed effects of contemporary group, age of cow as covariable (linear and quadratic effects) and a 4th-order Legendre orthogonal polynomials of days in milk, to model the mean trend. The additive genetic and permanent environmental effects were fitted by Legendre orthogonal polynomials and b-splines functions. Different structures of residual variances were used, through the variances classes containing 1, 7, 10, 20, and e 43 residual variances, to the models fitted by Legendre orthogonal polynomials. Moreover, for the RRM fitted by b-splines-functions, the residual estructure was considered heterogeneous, having 7 variance classes. The RRM were compared by Likelihood ratio test, Bayesian and Akaike´s information criteria. The heritability estimated ranged from 0.23 to 0.32 by uni-trait analyses, from 0.24 to 0.32 by bi-traits analyses and from 0.28 to 0.37 by multi-trait analyses. The h2 estimates varied during the lactation being the highest estimate at the fourth month. The estimate obtained by the repeatability model was 0.27, and a repeatability estimate of 0.66. For the MRA fitted by Legendre orthogonal polynomials, related to the residual variance, the best model the one that deemed 7 residual classes. For the additive and permanent environmental effects, the having 3th-order... (Complete abstract click electronic access below)
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8

Sosov, Yuriy. "Legendre Polynomial Expansion of the Electron Boltzmann Equation Applied to the Discharge in Argon." University of Toledo / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1145290801.

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Santos, Tyssia Nogueira Maciel dos. "AvaliaÃÃo genÃtica da curva de lactaÃÃo de cabras saanen utilizando modelos de regressÃo aleatÃria." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=13819.

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O objetivo deste estudo foi realizar uma avaliaÃÃo genÃtico-quantitativa da curva de lactaÃÃo atà 305 dias de cabras da raÃa Saanen, avaliando distintos modelos de regressÃo aleatÃria para o melhor ajuste das trajetÃrias fixa e aleatÃrias desta curva, e assim estimar as covariÃncias e parÃmetros genÃticos associados a este perÃodo. Foram utilizados 11.018 controles leiteiros de 950 lactaÃÃes de cabras pertencentes a rebanhos associados ao Programa de Melhoramento GenÃtico de Caprinos Leiteiros (CaprageneÂ). Os efeitos fixos utilizados nas anÃlises foram de grupo de contemporÃneos, sexo das crias, tipo de ordenha e manejo. Foram avaliados 18 modelos, com diferentes ordens, para verificar o melhor ajuste simultÃneo das regressÃes para as trajetÃrias fixa e aleatÃrias (efeitos genÃticos aditivos diretos, de ambiente permanente e residual). Para ajuste da regressÃo fixa, foram utilizados os polinÃmios ordinÃrios e os polinÃmios ortogonais de Legendre, de segunda ordem. Para as regressÃes aleatÃrias, foram utilizados os polinÃmios ordinÃrios, os polinÃmios ortogonais de Legendre e as funÃÃes b-spline, variando da segunda a quarta ordem. O modelo com os polinÃmios ortogonais de Legendre de segunda ordem para a parte fixa e as funÃÃes b-spline de quarta ordem para a parte aleatÃria foi o mais adequado para o ajuste dos dados analisados. Na trajetÃria fixa, este modelo estimou o pico de lactaÃÃo entre 52-61 dias, com valor mÃdio de 2,378 kg de leite/dia. A curva iniciou-se com uma produÃÃo mÃdia de 2,298 kg/dia, encerrando aos 305 dias com uma produÃÃo mÃdia de 0,758 kg/dia. As estimativas de herdabilidade variaram de 0,294  0,135 a 0,794  0,075. Maior variabilidade genÃtica foi estimada para os controles leiteiros intermediÃrios na trajetÃria da curva de lactaÃÃo, entre 79 e 180 dias, com maiores estimativas de herdabilidade. As correlaÃÃes genÃticas entre os controles variaram entre 0,551  0,125 e 0,998  0,001, como maiores valores para produÃÃes de leite em dias prÃximos e subsequentes, e tornando-se menores à medida que os controles se distanciavam. A variabilidade genÃtica estimada indica que à possÃvel modificar por seleÃÃo a curva de lactaÃÃo das cabras Saanen da populaÃÃo estudada. Esta seleÃÃo deve ser realizada entre 79 e 180 dias de lactaÃÃo, perÃodo posterior ao pico de lactaÃÃo, entretanto onde se observaram as maiores herdabilidades. A seleÃÃo neste ponto permitirà alteraÃÃes na curva como um todo, em funÃÃo das respostas genÃticas correlacionadas.
The aim of this study was to perform a genetic-quantitative evaluation of the lactation curve up to 305 days of Saanen goats, fitting different random regression models to the best fit on the fixed and random trajectories of this curve and thus estimate the (co) variances and genetic parameters associated to this period. 11,018test-day milk yieldof 950 goats belonging to herds supported by the Dairy Goats Breeding Program (CaprageneÂ) were used. The fixed effects used in the analysis were contemporary group, sex of offspring, type of milking and management. 18 models with different orderswere evaluated, to verify the simultaneous best fit of the regressions for the fixed and random trajectories (direct additive genetic, permanent environmental and residual effects). Ordinary orthogonal polynomials and Legendre polynomials, of second order were used to fit the fixed regression. Ordinary polynomials, orthogonal Legendre polynomials and B-spline functions, ranging from second to fourth order, were used for fit the random regressions. The model with orthogonal Legendre polynomials of second order to the fixed part and the b-spline function of fourth order for the random part was the most suitable for the fitting of the data analyzed. In fixed path, this model estimated peak lactation between 52-61 days, with an average of 2.378 kg of milk / day. The curve began with an average yield of 2.298 kg / day, ending 305 days with an average yield of 0.758 kg / day. Heritability estimates ranged from 0.294 Â 0.135 to 0.794 Â 0.075. Greater genetic variability was estimated for the intermediate test-day yields in the trajectory of the lactation curve, between 79 and 180 days, with higher heritability estimates. Genetic correlations among the test-day yields ranged from 0.551 Â 0.125 and 0.998 Â 0.001, with higher values between milk yield in the next and subsequent days, and becoming smaller as the distanceamong the test-day yield increase. The estimated genetic variability indicates that it is possible to modify the lactation curve of Saanen goats of the study population. The selection should be performed between 79 and 180 days of lactation, after the peak of lactation, however where the greatest heritabilities were observed period. The selection on this point will change the curve as a whole on the basis of correlated genetic responses.
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Santos, Tyssia Nogueira Maciel dos. "Avaliação genética da curva de lactação de cabras saanen utilizando modelos de regressão aleatória." reponame:Repositório Institucional da UFC, 2014. http://www.repositorio.ufc.br/handle/riufc/19004.

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SANTOS, Tyssia Nogueira Maciel dos. Avaliação genética da curva de lactação de cabras saanen utilizando modelos de regressão aleatória. 2014. 51 f. : Dissertação (Mestrado) - Universidade Federal do Ceará, Centro de Ciências, Departamento de Zootecnia, Programa de Pós-Graduação em Zootecnia. Fortaleza-CE, 2014.
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The aim of this study was to perform a genetic-quantitative evaluation of the lactation curve up to 305 days of Saanen goats, fitting different random regression models to the best fit on the fixed and random trajectories of this curve and thus estimate the (co) variances and genetic parameters associated to this period. 11,018test-day milk yieldof 950 goats belonging to herds supported by the Dairy Goats Breeding Program (Capragene®) were used. The fixed effects used in the analysis were contemporary group, sex of offspring, type of milking and management. 18 models with different orderswere evaluated, to verify the simultaneous best fit of the regressions for the fixed and random trajectories (direct additive genetic, permanent environmental and residual effects). Ordinary orthogonal polynomials and Legendre polynomials, of second order were used to fit the fixed regression. Ordinary polynomials, orthogonal Legendre polynomials and B-spline functions, ranging from second to fourth order, were used for fit the random regressions. The model with orthogonal Legendre polynomials of second order to the fixed part and the b-spline function of fourth order for the random part was the most suitable for the fitting of the data analyzed. In fixed path, this model estimated peak lactation between 52-61 days, with an average of 2.378 kg of milk / day. The curve began with an average yield of 2.298 kg / day, ending 305 days with an average yield of 0.758 kg / day. Heritability estimates ranged from 0.294 ± 0.135 to 0.794 ± 0.075. Greater genetic variability was estimated for the intermediate test-day yields in the trajectory of the lactation curve, between 79 and 180 days, with higher heritability estimates. Genetic correlations among the test-day yields ranged from 0.551 ± 0.125 and 0.998 ± 0.001, with higher values between milk yield in the next and subsequent days, and becoming smaller as the distanceamong the test-day yield increase. The estimated genetic variability indicates that it is possible to modify the lactation curve of Saanen goats of the study population. The selection should be performed between 79 and 180 days of lactation, after the peak of lactation, however where the greatest heritabilities were observed period. The selection on this point will change the curve as a whole on the basis of correlated genetic responses.
O objetivo deste estudo foi realizar uma avaliação genético-quantitativa da curva de lactação até 305 dias de cabras da raça Saanen, avaliando distintos modelos de regressão aleatória para o melhor ajuste das trajetórias fixa e aleatórias desta curva, e assim estimar as covariâncias e parâmetros genéticos associados a este período. Foram utilizados 11.018 controles leiteiros de 950 lactações de cabras pertencentes a rebanhos associados ao Programa de Melhoramento Genético de Caprinos Leiteiros (Capragene®). Os efeitos fixos utilizados nas análises foram de grupo de contemporâneos, sexo das crias, tipo de ordenha e manejo. Foram avaliados 18 modelos, com diferentes ordens, para verificar o melhor ajuste simultâneo das regressões para as trajetórias fixa e aleatórias (efeitos genéticos aditivos diretos, de ambiente permanente e residual). Para ajuste da regressão fixa, foram utilizados os polinômios ordinários e os polinômios ortogonais de Legendre, de segunda ordem. Para as regressões aleatórias, foram utilizados os polinômios ordinários, os polinômios ortogonais de Legendre e as funções b-spline, variando da segunda a quarta ordem. O modelo com os polinômios ortogonais de Legendre de segunda ordem para a parte fixa e as funções b-spline de quarta ordem para a parte aleatória foi o mais adequado para o ajuste dos dados analisados. Na trajetória fixa, este modelo estimou o pico de lactação entre 52-61 dias, com valor médio de 2,378 kg de leite/dia. A curva iniciou-se com uma produção média de 2,298 kg/dia, encerrando aos 305 dias com uma produção média de 0,758 kg/dia. As estimativas de herdabilidade variaram de 0,294 ± 0,135 a 0,794 ± 0,075. Maior variabilidade genética foi estimada para os controles leiteiros intermediários na trajetória da curva de lactação, entre 79 e 180 dias, com maiores estimativas de herdabilidade. As correlações genéticas entre os controles variaram entre 0,551 ± 0,125 e 0,998 ± 0,001, como maiores valores para produções de leite em dias próximos e subsequentes, e tornando-se menores à medida que os controles se distanciavam. A variabilidade genética estimada indica que é possível modificar por seleção a curva de lactação das cabras Saanen da população estudada. Esta seleção deve ser realizada entre 79 e 180 dias de lactação, período posterior ao pico de lactação, entretanto onde se observaram as maiores herdabilidades. A seleção neste ponto permitirá alterações na curva como um todo, em função das respostas genéticas correlacionadas.
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Books on the topic "LEGENDERS FUNCTIONS"

1

Don, Wai Sun. The Chebyshev-Legendre method: implementing Legendre methods on Chebyshev points. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1993.

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Iryna, Fedotova, ed. Generalized associated Legendre functions and their applications. Singapore: World Scientific, 2001.

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Gottlieb, David. On the Gibbs phenomenon V: Recovering exponential accuracy from collocation point values of a piecewise analyytic function. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Orsatti, Paola. Materials for a History of the Persian Narrative Tradition. Venice: Edizioni Ca' Foscari, 2019. http://dx.doi.org/10.30687/978-88-6969-354-0.

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The two essays gathered here, devoted to the characters of Turandot/Būrān-dukht and Farhād respectively, represent two parallel upshots of a stream of research focusing on the transformation of historical or semi-historical figures into literary characters. The research moves from literary characters and their possible historical or legendary origins, to un understanding of their literary function in Persian literature.
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Efthimiou, Costas. Spherical harmonics in p dimensions. New Jersey: World Scientific, 2014.

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Doye, Eli. Myths from Northeast India: Functional perspective of Galo myths in a changing context. New Delhi: Nation Press, 2018.

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Smith, James. Highly accurate beam torsion solutions using the p-Version finite element method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1996.

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Croally, N. T. Euripidean polemic: The Trojan women and the function of tragedy. Cambridge: Cambridge University Press, 1994.

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Kalmar, Tomás Mario. King Alfred the Great, his Hagiographers and his Cult. Nieuwe Prinsengracht 89 1018 VR Amsterdam Nederland: Amsterdam University Press, 2023. http://dx.doi.org/10.5117/9789463729611.

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This book situates Alfred the Great in his hagiographic context. For 150 years, the fables told in the ninth century about Alfred’s childhood have posed interlocking disciplinary challenges to historians committed to evicting romance from history. Blending current Hagiography Studies with historical, literary, and biblical hermeneutics can help us forgo the anti-hagiographic commitments which motivated the scholars who purified the Victorian cult of Alfred by expunging his legends and salvaging his historicity. The book focusses on the typological functions of three Alfredian fables from the Old English Chronicle, the Old English Boethius, and Asser’s Vita Ælfredi, analyses the plot common to all three, critiques the psychological conjecture that Alfred’s childhood memory was their common source, and shows that synoptically they can help us see how Alfred shaped the curve of his own life’s destiny and how he engaged in the formation of his own cult to last a thousand years.
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1968-, Arvesú Jorge, and Lopez Lagomasino Guillermo 1948-, eds. Recent advances in orthogonal polynomials, special functions, and their applications: 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain. Providence, R.I: American Mathematical Society, 2012.

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Book chapters on the topic "LEGENDERS FUNCTIONS"

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Schweizer, Wolfgang. "Legendre Polynomials and Legendre Functions." In Special Functions in Physics with MATLAB, 33–63. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64232-7_3.

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Kristensson, Gerhard. "Legendre functions and related functions." In Second Order Differential Equations, 107–22. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7020-6_6.

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Agarwal, Ravi P., and Donal O’Regan. "Legendre Polynomials and Functions." In Ordinary and Partial Differential Equations, 47–56. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-79146-3_7.

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Popescu-Pampu, Patrick. "Legendre and Elliptic Functions." In What is the Genus?, 19–20. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42312-8_8.

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Oldham, Keith B., Jan C. Myland, and Jerome Spanier. "The Legendre Polynomials P n (x)." In An Atlas of Functions, 187–96. New York, NY: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-48807-3_22.

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Akhmedova, Valeriya, and Emil T. Akhmedov. "Legendre Polynomials and Spherical Functions." In SpringerBriefs in Physics, 65–79. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35089-5_6.

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Svehla, Drazen. "Trigonometric Representations of Legendre Functions." In Geometrical Theory of Satellite Orbits and Gravity Field, 421–46. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76873-1_27.

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Burke, Philip G. "Legendre Polynomials and Related Functions." In R-Matrix Theory of Atomic Collisions, 619–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15931-2_14.

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Love, E. R., and M. N. Hunter. "Expansions in series of Legendre functions." In Analysis of Divergence, 65–77. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-2236-1_6.

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Oldham, Keith B., Jan C. Myland, and Jerome Spanier. "The Legendre Functions P v (x) and Q v (x)." In An Atlas of Functions, 611–26. New York, NY: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-48807-3_60.

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Conference papers on the topic "LEGENDERS FUNCTIONS"

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Klimek, Malgorzata, and Om Prakash Agrawal. "Space- and Time-Fractional Legendre-Pearson Diffusion Equation." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12604.

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In this paper we study space- and time-fractional diffusion equations called Fractional Legendre-Pearson Diffusion Equations (FLPDEs) in finite space interval. We define the space fractional part using Fractional Legendre Operators and the time fractional part using Fractional Caputo derivative. We consider both the standard and symmetrized versions of FLPDEs. For both equations, we use the method of integral Legendre transform and inverse integral Legendre transform to solve the two equations. The solutions are given in the form of infinite series containing Legendre polynomials dependent on the space variable and Mittag-Leffler functions dependent on time. We demonstrate that these series are convergent. The simplicity with which the solutions of the FLPDEs are obtained in closed form should initiate further research in this field.
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Ananthi, Sabapathy, Ananthanarayanan Arun, Sivakannan Subramani, and Krishnasamy Padmanabhan. "Audio Codec Using Legendre Functions for Simplified Digital Telephony." In Proceedings of the Fist International Conference on Advanced Scientific Innovation in Science, Engineering and Technology, ICASISET 2020, 16-17 May 2020, Chennai, India. EAI, 2021. http://dx.doi.org/10.4108/eai.16-5-2020.2304205.

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Kong, Wei-Bin, Hou-Xing Zhou, and Wei Hong. "An IE-ODDM with higher-order hierarchical Legendre basis functions." In 2014 3rd Asia-Pacific Conference on Antennas and Propagation. IEEE, 2014. http://dx.doi.org/10.1109/apcap.2014.6992662.

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Rajković, P. M., V. S. Kiryakova, Michail D. Todorov, and Christo I. Christov. "Legendre-type Special Functions Defined by Fractional Order Rodrigues Formula." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3526666.

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OLVER, F. W. J. "RESURGENCE IN DIFFERENCE EQUATIONS, WITH AN APPLICATION TO LEGENDRE FUNCTIONS." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792303_0018.

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Asutkar, Vinayak G., Balasaheb M. Patre, and T. K. Basu. "Identification of Slowly Time-Varying System Using Legendre Basis Functions." In 2009 Annual IEEE India Conference. IEEE, 2009. http://dx.doi.org/10.1109/indcon.2009.5409405.

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Seuret, Alexandre, and Frederic Gouaisbaut. "Complete Quadratic Lyapunov functionals using Bessel-Legendre inequality." In 2014 European Control Conference (ECC). IEEE, 2014. http://dx.doi.org/10.1109/ecc.2014.6862453.

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Pacheco, Ricardo P., and Valder Steffen. "On Time Domain Identification and Sensitivity Analysis Using Orthogonal Functions." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8365.

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Abstract Orthogonal functions can be integrated using a so-called operational matrix. This characteristic transforms a set of second order differential equations into algebraic equations which are easily solved. In the case of mechanical systems the unknown parameters can be determined from these algebraic equations. For this purpose, the input and output signals have to be expanded in time orthogonal functions. This technique can be also applied for sensitivity analysis. In this paper Fourier series, Legendre polynomials, Jacobi polynomials, Chebyshev series, Block-Pulse functions and Walsh functions are used to expand the signals as time functions.
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Nemati, S., P. Lima, and Y. Ordokhani. "Numerical solution of two-dimensional integral-algebraic systems using Legendre functions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756109.

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Rokhmanova, T., S. S. Apostolov, N. Kvitka, and V. A. Yampol'skii. "Description of Localized Josephson Plasma Waves: Legendre Functions vs WKB Approximation." In 2018 IEEE 17th International Conference on Mathematical Methods in Electromagnetic Theory (MMET). IEEE, 2018. http://dx.doi.org/10.1109/mmet.2018.8460354.

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Reports on the topic "LEGENDERS FUNCTIONS"

1

Filiz, Ibrahim, Jan René Judek, Marco Lorenz, and Markus Spiwoks. Einhorn, Yeti, Nessie und der neoklassische Markt – Legenden und empirische Evidenz. Sonderforschungsgruppe Institutionenanalyse, 2022. http://dx.doi.org/10.46850/sofia.9783947850020.

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The neoclassical market model still has a decisive influence on important economic policy decisions today. A central role in this model is played by the formation of equilibrium prices, where aggregate supply functions and aggregate demand functions meet. We examine whether equilibrium prices are actually formed. For this purpose, we analyse 2,217 prices for homogeneous products that were collected by students between October 2020 and May 2022 in stationary and online retail. In 143 of 146 cases, no equilibrium price is found. The percentage price range is regularly over 100%. The presumed steering function of an equilibrium price does not materialise. The establishment of market mechanisms for the efficient solution of economic problems must therefore be questioned.
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Franke, Richard. Using Legendre Functions for Spatial Covariance Approximation and Investigation of Radial Nonisotrophy for NOGAPS Data. Fort Belvoir, VA: Defense Technical Information Center, January 2001. http://dx.doi.org/10.21236/ada389396.

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