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Статті в журналах з теми "Jacobi B"

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Eberlein, P. J., and Haesun Park. "Efficient implementation of Jacobi algorithms and Jacobi sets on distributed memory architectures." Journal of Parallel and Distributed Computing 8, no. 4 (April 1990): 358–66. http://dx.doi.org/10.1016/0743-7315(90)90134-b.

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Dutta, Rajdeep, Ranjan Ganguli, and V. Mani. "Exploring isospectral spring–mass systems with firefly algorithm." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2135 (June 22, 2011): 3222–40. http://dx.doi.org/10.1098/rspa.2011.0119.

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This paper investigates in-line spring–mass systems ( A n ), fixed at one end and free at the other, with n -degrees of freedom (d.f.). The objective is to find feasible in-line systems ( B n ) that are isospectral to a given system. The spring–mass systems, A n and B n , are represented by Jacobi matrices. An error function is developed with the help of the Jacobi matrices A n and B n . The problem of finding the isospectral systems is posed as an optimization problem with the aim of minimizing the error function. The approach for creating isospectral systems uses the fact that the trace of two isospectral Jacobi matrices A n and B n should be identical. A modification is made to the diagonal elements of the given Jacobi matrix ( A n ), to create the isospectral systems. The optimization problem is solved using the firefly algorithm augmented by a local search procedure. Numerical results are obtained and resulting isospectral systems are shown for 4 d.f. and 10 d.f. systems.
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Allaway, Wm R. "Convolution Orthogonality and the Jacobi Polynominals." Canadian Mathematical Bulletin 32, no. 3 (September 1, 1989): 298–308. http://dx.doi.org/10.4153/cmb-1989-043-2.

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AbstractLet α and β be any two real numbers and let be the Jacobi polynomial sequences. For any non-zero real number a, is an orthogonal polynomial sequence with respect to convolution if and only if either (i) b = 1, α = 0 and β + 1 is not equal to a negative integer or (ii) b = — 1, β = 0 and α + 1 is not equal to a negative integer.
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Zhou, Ting, and Shi Guang Zhang. "Comparison Results between Jacobi and USSOR Iterative Methods." Advanced Materials Research 989-994 (July 2014): 1790–93. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.1790.

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In this paper, some comparison results between Jacobi and USSOR iteration for solving nonsingular linear systems are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of USSOR iterative matrix under some conditions. A numerical example is also given to illustrate our results.
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Rababah, Abedallah. "Integration of Jacobi and Weighted Bernstein Polynomials Using Bases Transformations." Computational Methods in Applied Mathematics 7, no. 3 (2007): 221–26. http://dx.doi.org/10.2478/cmam-2007-0013.

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AbstractThis paper presents methods to compute integrals of the Jacobi polynomials by the representation in terms of the Bernstein — B´ezier basis. We do this because the integration of the Bernstein — B´ezier form simply corresponds to applying the de Casteljau algorithm in an easy way. Formulas for the definite integral of the weighted Bernstein polynomials are also presented. Bases transformations are used. In this paper, the methods of integration enable us to gain from the properties of the Jacobi and Bernstein bases.
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Guadalupe, JoséJ, Mario Pérez, and Juan L. Varona. "Weak behaviour of Fourier-Jacobi series." Journal of Approximation Theory 61, no. 2 (May 1990): 222–38. http://dx.doi.org/10.1016/0021-9045(90)90005-b.

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Ostergaard, Misty, Vincent Pigno, and Christopher Pinner. "Evaluating prime power Gauss and Jacobi sums." Tamkang Journal of Mathematics 48, no. 3 (September 30, 2017): 227–40. http://dx.doi.org/10.5556/j.tkjm.48.2017.1866.

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We show that for any mod $p^m$ characters, $\chi_1, \dots, \chi_k,$ with at least one $\chi_i$ primitive mod $p^m$, the Jacobi sum, $$ \mathop{\sum_{x_1=1}^{p^m}\dots \sum_{x_k=1}^{p^m}}_{x_1+\dots+x_k\equiv B \text{ mod } p^m}\chi_1(x_1)\cdots \chi_k(x_k), $$ has a simple evaluation when $m$ is sufficiently large (for $m\geq 2$ if $p\nmid B$). As part of the proof we give a simple evaluation of the mod $p^m$ Gauss sums when $m\geq 2$ that differs slightly from existing evaluations when $p=2$.
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Stoykova, Kristalina, Vyara Idakieva, Marin Ivanov, and Daniela Reháková. "Calcareous nannofossil and ammonite integrated biostratigraphy across the Jurassic – Cretaceous boundary strata of the Kopanitsa composite section (West Srednogorie Unit, southwest Bulgaria)." Geologica Carpathica 69, no. 2 (April 1, 2018): 199–219. http://dx.doi.org/10.1515/geoca-2018-0012.

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AbstractCalcareous nannofossil, calpionellid and ammonite occurrences have been directly constrained across the Jurassic–Cretaceous boundary interval in the section of Kopanitsa, SW Bulgaria. This section reveals a continuous and expanded sedimentary record through the Upper Tithonian and Lower Berriasian, besides an excellent calcareous nannofossil and ammonite record. The topmost part of the NJT 16b and the base of NJT 17a nannofossil Subzones correspond to the ammonite Microcanthum / Transitorius Subzone. The major part of the NJT 17a Subzone equates to the Durangites spp. ammonite Zone, whereas the NJT 17b Subzone correlates to the lower part of the B. jacobi ammonite Zone. The NKT nannofossil Zone approximately corresponds to the upper part of the B. jacobi Zone and the NK-1 nannofossil Zone correlates at least to the lowest part of the T. occitanica Zone. The FOs ofNannoconus globulus minor, N. wintereri, N. kamptneri minor, N. steinmannii minor, N. kamptneri kamptneriandN. steinmannii steinmanniiare confirmed as reliable bio-horizons for correlations in the Mediterranean Tethys area. The first occurrence ofNannoconus wintereriis regarded as an almost concomitant event with the first occurrence ofBerriasella jacobi. We suggest it could be the most useful nannofossil proxy for approximating the base of the B. jacobi Zone. Rare, but relatively well preserved calpionellids and calcareous dinoflagellates together with microfacies analysis were used additionally for stratigraphical and palaeoenvironmental interpretations. The investigated sediments are typical for the steep slope of a steepened ramp, with accumulation of hemipelagic and gravitational deposits.
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Liu, Chengzhi, Juncheng Li, and Lijuan Hu. "Jacobi–PIA algorithm for bi-cubic B-spline interpolation surfaces." Graphical Models 120 (March 2022): 101134. http://dx.doi.org/10.1016/j.gmod.2022.101134.

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SOULIER-PERKINS, ADELINE, and GERNOT KUNZ. "Revision of the malagassy endemic genus Amberana Distant (Hemiptera, Cercopidae) with description of one new genus." Zootaxa 3156, no. 1 (January 10, 2012): 1. http://dx.doi.org/10.11646/zootaxa.3156.1.1.

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The genus Amberana Distant is revised. Three new species, A. attei Soulier-Perkins sp. n., A. ouvrardi Soulier-Perkinssp. n. and A. pascali Soulier-Perkins sp. n. are described. Lectotypes are designated for A. dimidiata (Signoret, 1960), A.fissurata Jacobi, 1917, A. noualhieri (Lallemand, 1920), A. sexguttata (Melichar, 1915) and A. uncinata Jacobi, 1917. Am-berana tripunctata var. completa Lallemand, 1949 and A. tripunctata Lallemand, 1920 are synonymised with A. bergevini(Lallemand, 1920). A new genus, Bourgoinrana Soulier-Perkins gen. n., is erected for B. perinetana (Synave, 1957),comb. n. (type species), B. rubescens (Synave, 1957), comb. n. and B. sandrangatensis (Synave, 1957), comb. n. Keysto species of Amberana and Bourgoinrana Soulier-Perkins gen. n. are provided. Drawings of the male genitalia for all species with exception of A. lemuria (Distant, 1908) are included.
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Дисертації з теми "Jacobi B"

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Botero, Ana María. "b-divisors on toric and toroidal embeddings." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18140.

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In dieser Dissertation entwickeln wir eine Schnittheorie von torischen bzw. toroidalen b-Divisoren auf torischen bzw. toroidalen Einbettungen. Motiviert wird dies durch das Ziel, eine arithmetische Schnittheorie auf gemischten Shimura- Varietäten von nicht-kompaktem Typ zu begründen. Die bisher zur Verfügung stehenden Werkzeuge definieren keine numerischen Invarianten, die birational invariant sind. Zuerst definieren wir torische b-Divisoren auf torischen Varietäten und einen Integrabilitätsbegriff für solche Divisoren. Wir zeigen, dass torische b-Divisoren unter geeigneten Annahmen an die Positivität integrierbar sind und dass ihr Grad als das Volumen einer konvexen Menge gegeben ist. Außerdem zeigen wir, dass die Dimension des Vektorraums der globalen Schnitte eines torischen b-Divisors, der nef ist, gleich der Anzahl der Gitterpunkte in besagter konvexer Menge ist und wir geben eine Hilbert–Samuel-Formel für das asymptotische Wachstum dieser Dimension. Dies verallgemeinert klassische Resultate für klassische torische Divisoren auf torischen Varietäten. Als ein zusätzliches Resultat setzen wir konvexe Mengen, die von torischen b-Divisoren kommen, mit Newton–Okounkov- Körpern in Beziehung. Anschließend definieren wir toroidale b-Divisoren auf toroidalen Varietäten und einen Integrierbarkeitsbegriff für solche Divisoren. Wir zeigen, dass unter geeigneten Positivitätsannahmen toroidale b-Divisoren integrierbar sind und ihr Grad als ein Integral bezüglich eines Grenzmaßes aufgefasst werden kann. Dieses Grenzmaß ist ein schwacher Grenzwert von diskreten Maßen, deren Gewichte über tropische Schnittheorie auf rationalen konischen polyedrischen Komplexen definiert sind, welche zu der toroidalen Varietät gehören. Wir setzen dieses Grenzmaß ebenfalls in Beziehung zum zu einem konvexen Körper assoziierten Flächeninhaltsmaß. Diese Beziehung erlaubt es uns, Integrale bezüglich des Grenzmaßes explizit auszurechnen. Zusätzlich erhalten wir eine kanonische Zerlegung der Differenz zweier konvexer Mengen und eine Beziehung zwischen das Volumen von den Teilen und tropische Schnittheoretische Mengen. Schließlich berechnen wir als Anwendung den Grad des b-Divisors von Jacobiformen vom Gewicht k und Index m bezüglich der Hauptkongruenzuntergruppe zum Level N >= 3 auf der verallgemeinerten universellen elliptischen Kurve und wir zeigen, dass der b-divisoriale Ansatz gegenüber lediglich einer kanonischen Kompaktifizierung Vorteile bietet.
In this thesis we develop an intersection theory of toric and toroidal b-divisors on toric and toroidal embeddings, respectively. Our motivation comes from wanting to establish an arithmetic intersection theory on mixed Shimura varieties of non- compact type. The tools available until now do not define numerical invariants which are birationally invariant. First, we define toric b-divisors on toric varieties and an integrability notion of such divisors. We show that under suitable positivity assumptions toric b- divisors are integrable and that their degree is given as the volume of a convex set. Moreover, we show that the dimension of the space of global sections of a nef toric b-divisor is equal to the number of lattice points in this convex set and we give a Hilbert-Samuel type formula for its asymptotic growth. This generalizes classical results for classical toric divisors on toric varieties. As a by-product, we relate convex sets arising from toric b-divisors with Newton-Okounkov bodies. Then, we define toroidal b-divisors on toroidal varieties and an integrability notion of such divisors. We show that under suitable positivity assumptions toroidal b-divisors are integrable and that their degree is given as an integral with respect to a limit measure, which is a weak limit of discrete measures whose weights are defined via tropical intersection theory on the rational con- ical polyhedral complex attached to the toroidal variety. We also relate this limit measure with the surface area measure associated to a convex body. This relation enables us to compute integrals with respect to these limit measures ex- plicitly. Additionally, we give a canonical decomposition of the difference of two convex sets and we relate the volume of the pieces to tropical top intersection numbers. Finally, as an application, we compute the degree of the b-divisor of Jacobi forms of weight k and index m with respect to the principal congruence subgroup of level N >= 3 on the generalized universal elliptic curve and we show that it is meaningful to consider the b-divisorial approach instead of just fixing one canonical compactification.
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Ehlen, Oliver. "Leitbilder und romanhafte Züge in apokryphen Evangelientexten : Untersuchungen zur Motivik und Erzählstruktur : anhand des Protevangelium Jacobi und der Acta Pilati Graec. B /." Stuttgart : F. Steiner, 2004. http://catalogue.bnf.fr/ark:/12148/cb40210243v.

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Witthaut, Dirk. "Reyne dachcortinghe ende ware leringhe zur Beziehung zwischen Text und Bildprogramm in einer Handschrift der Rijmbijbel des Jacob van Maerlant (Den Haag, Rijksmuseum Meermanno-Westreenianum, 10 B 21) /." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=972640649.

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Jacobs, Ruth Magdalena [Verfasser]. "Probing new physics with boosted H→b¯b decays with the ATLAS detector at 13 TeV / Ruth Magdalena Jacobs." Bonn : Universitäts- und Landesbibliothek Bonn, 2020. http://d-nb.info/1203757492/34.

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Mentz, Jacobus Johannes. "A search for pulsating B-type variable stars in the southern open clusters NGC 6204 and Hogg 22 / Jacobus Johannes (Jaco) Mentz." Thesis, North-West University, 2013. http://hdl.handle.net/10394/9520.

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The theory of stellar evolution and stellar structure relies on the observation of stars in di erent phases of their evolutionary cycle. The relation between observations and theory can be strengthened by obtaining observational data of a large sample of stars in a particular evolutionary phase. The search for Cephei stars, as conducted in this study, can contribute to the sample of known Cephei stars, where these interesting stars are massive non-supergiant early B-type stars, displaying pulsating behaviour which is not well understood. Stars tend to form in clusters where it can therefore be expected that young massive stars can be found in open clusters. For this reason two young southern open clusters were observed in order to search for B-type pulsating stars. The region of NGC 6204 and Hogg 22 was observed over a period of thirteen nights in Johnson B, V and I bands. NGC 6204 is believed to be the oldest cluster of the two at a distance of 0.8 kpc while the much younger Hogg 22 is more distant at 2.8 kpc. These two open clusters are located 6 arcminutes apart which made it possible to observe them simultaneously with a 12.8 12.8 arcminute eld of view. The observations were done with the newly installed 1600 telescope of the North-West University, South Africa. In order to do a variability search, periodic stars need to be identi ed from the cluster data, where a typical data set may contain thousands of scienti c images. In addition to the main motivation for this study, a pipeline was created in order to automate the photometry and data reduction processes. A Lomb-Scargle transform was applied to the stellar light curves in order to identify periodic sources. 354 signi cantly periodic stars were identi ed from the 3182 observed stars. Amongst them, two new possible Cephei stars were found together with a possible slowly pulsating B star (SPB), and numerous eclipsing binary systems. By using photometry of this region obtained by Forbes & Short (1996), instrumental magnitudes were transformed to a standard system in order to compare photometry results. From the constructed colour magnitude diagram of the two clusters, it could be seen that some stars, indicated by Forbes & Short (1996) to be cluster members, were in fact eld stars belonging to neither cluster. The reduction and photometry pipeline was implemented successfully on the data set, which also highlighted the importance of instrumentation and correct data analysis procedures. Possible improvements were identi ed in order to overcome di culties experienced during this study.
Thesis (MSc (Space Physics))--North-West University, Potchefstroom Campus, 2013
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Negroni, Jacopo [Verfasser], and Dmitri [Akademischer Betreuer] Svergun. "Validation of Crystallographic B Factors and Analysis of Ribosomal Crystal Structures / Jacopo Negroni ; Betreuer: Dmitri Svergun." Heidelberg : Universitätsbibliothek Heidelberg, 2012. http://d-nb.info/1179783964/34.

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Oliveira, Jaciara Rodrigues de. "Ocorrência e caracterização de Haemophilus influenzae em crianças de uma creche do município de Jacobina, Bahia." reponame:Repositório Institucional da FIOCRUZ, 2013. https://www.arca.fiocruz.br/handle/icict/11146.

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Made available in DSpace on 2015-07-08T12:28:19Z (GMT). No. of bitstreams: 2 6.pdf: 926522 bytes, checksum: f6e46b30951c9cffb7632bb9dd259770 (MD5) license.txt: 1748 bytes, checksum: 8a4605be74aa9ea9d79846c1fba20a33 (MD5) Previous issue date: 2013
Fundação Oswaldo Cruz. Instituto Nacional de Controle de Qualidade em Saúde
As bactérias do gênero Haemophilus, família Pasteutelleaceae têm ainda na espécie influenzae influenzae (Hi)a mais importante nas infecções humanas. Hi, que inclui os sorotipos capsulares (a-f) e os NT é responsável por diversos quadros infecciosos. Haemophilus influenzae b (Hib) era um dos principais responsáveis pelos casos de meningites em diversos países do mundo. Estava também associado a outras infecções graves como epiglotite, artrite séptica, bacteremia, pneumonia e septicemia, principalmente em crianças. As doenças associadas ao Hib são preveníveis pela vacina conjugada formada do PRP e uma proteína carreadora, incluída no PNI/MS em agosto de 1999. Após a introdução da vacina conjugada contra o Hib houve redução expressiva das doenças causadas pelo Hib, nos diversos países que introduziram a vacina em seus calendários de imunização, porém, os outros sorotipos, inclusive os HiNT passaram a ser isolados com maior frequência como agente infeccioso de meningites sendo também atualmente um dos principais agentes etiológicos da Otite Média Aguda (OMA), o que o torna alvo de importantes pesquisas para novas vacinas. A colonização desta é fundamental para que ocorra a infecção e, crianças de creches e orfanatos apresentam variáveis taxas desta bactéria. A importância deste estudo continuando uma linha de pesquisa sobre o Hi no INCQS-FIOCRUZ, com ênfase no estudo de cepas isoladas após a implantação da vacina está associada à necessidade de verificar a situação de portadores, em uma população fechada (creche) para contribuir com o conhecimento da situação do Hi após treze anos da introdução da vacina conjugada contra o Hib no Brasil, que reduziu, mas não impediu a ocorrência da doença. O objetivo principal deste estudo foi determinar a ocorrência de Hi em crianças frequentadoras de uma creche em Jacobina, Bahia. Realizou-se coleta de material da nasofaringe de 73 crianças.
The Bacterial genus Haemophilus is inclued in the family Pasteutelleaceae and the influenzae specie (Hi) is the most important in human infections. Hi includes capsular serotypes (a-f) and non-capsulated strains (NT), which are responsible for many infections. Haemophilus influenzae b (Hib) has been one of the main cause of meningitis in many countries worldwide. It has been also associated with other severe infections such as epiglottitis, septic arthritis, bacteremia, pneumonia and septicemia, mainly in children. Since 1988 these infections are preventable by Hib conjugate vaccine consisting of PRP and a carrier protein, and it has been included in the national vaccination program (PNI/ MS) in 1999. After the introduction of Hib conjugate vaccine, diseases caused by Hib had significantly decreased in several countries where the vaccine was introduced into their immunization schedules however, other serotypes, including HiNT, has been isolated with greater frequency as agents of infectious meningitis which is currently one of the main etiological agents of Acute Otitis Media (AOM) and the subject of important researches on new vaccines. Colonization is essential to start the infection, and children from daycare centers present variable rates of the bacteria in their nasopharynx. The importance of this study on an ongoing line of research at INCQS-FIOCRUZ with emphasis on the study of strains isolated after the introduction of the vaccine, is associated with the monitor of carriers in a closed population (daycare) to contribute to the knowledge of the circulation of Hi after thirteen years using conjugate vaccine against Hib in Brazil, which reduced but did not prevent the occurrence of the disease. The main objective of this study was to determine the occurrence of Hi in children attending a daycare center in Jacobina, Bahia. For the study we collected material from the nasopharynx of 73 children. We found a colonization rate of 78.08% and all isolates were classified as HiNT. Biotype III was the most prevalent. The study of antimicrobial susceptibility showed ampicillin-resistant strains producing and non-producing β-lactamase. We also observed high rates of resistance to ampicillin (41.8%) and trimethoprim+sulfametoxazol (67.2%). The gene blaTEM, which is primarily responsible for ampicillin resistance was found in 81.8% of the strains. The blaROB gene, was not observed among the strains analyzed. The PBP3 gene of βLNAR samples was sequenced and changes were observed, the major changes were in positions 547V → 547I found in three samples, 422N→ 422S and 273S→ 273F. Strain susceptibility was evaluated against amoxicillin/clavulanic acid, ceftriaxone, rifampicin, chloranphenicol and were susceptible. This study confirms the efficacy of the vaccine against Hib and points to the relevance to vigilance HiNT, as presented high percentage of colonization and resistance to some antimicrobials.
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Jacoby, Ruth Leonie [Verfasser], and Nikolaos [Akademischer Betreuer] Tsilimparis. "Nierenvolumen und Nierenfunktion nach Typ B-Aortendissektion in Abhängigkeit der Nierenarterienversorgung aus dem aortalen Gefäßlumen – Eine Verlaufsanalyse / Ruth Leonie Jacoby ; Betreuer: Nikolaos Tsilimparis." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2019. http://d-nb.info/1188411357/34.

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Mantoani, Maurício Cruz. "Remoção da gramínea exótica Megathyrsus maximus (Jacq.) B. K. Simon & S. W. L. Jacobs e a regeneração natural em um reflorestamento de 20 anos." Universidade Estadual de Londrina. Centro de Ciências Biológicas. Programa de Pós-Graduação em Ciências Biológicas, 2013. http://www.bibliotecadigital.uel.br/document/?code=vtls000183417.

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Três experimentos foram realizados para estudar as respostas da regeneração e impactos de diferentes técnicas de controle do capim-colonião (Megathyrsus maximus (Jacq.) B. K. Simon & S. W. L. Jacobs) em um reflorestamento de 20 anos. No primeiro e segundo experimentos, 30 parcelas de 10 x 20 m foram instaladas e distribuídas em três grupos com 10 parcelas cada, sendo: controle, roçagem com roçadeiras costais e roçagem seguida da aplicação de Roundup Transorb R ® (glifosato). Foram amostrados todos os indivíduos de espécies lenhosas > 1 m, e para se amostrar indivíduos > 10 cm e < 1 m, duas sub-parcelas de 5 x 5 m foram implantadas em cada parcela. Entretanto, no experimento 1, foram acompanhados somente os indivíduos que estavam previamente marcados antes das remoções de M. maximus, para verificar a mortalidade e os danos à regeneração. No terceiro experimento, 45 parcelas de 5 x 5 m foram instaladas e distribuídas em três grupos com 10 parcelas cada, sendo: controle, remoção manual por um ano e remoção manual por dois anos. Todos os indivíduos de espécies lenhosas > 10 cm foram amostrados. Dados de abundância e riqueza de espécies, cobertura, número de plântulas e banco de sementes de M. maximus, cobertura de dossel, mortalidade e recrutamento foram coletados. No primeiro experimento, não houve diferença entre a mortalidade dos tratamentos de remoção com a mortalidade natural do controle, e somente no tratamento com uso exclusivo de roçadeiras, a abundância e a riqueza de espécies de indivíduos > 1 m permaneceram inalteradas. O custo final do tratamento de roçagem foi 34,1% maior do que o custo do tratamento com herbicida, e mesmo que o custo para se realizar novas intervenções diminua para ambos, há aumento dos custos quando ocorre necessidade de intervenções esparsas em áreas pequenas. No segundo experimento, a quantidade de sementes de capim-colonião foi menor em áreas com maior quantidade de regenerantes e com a melhora da regeneração no controle, não houve diferenças para os três grupos, todavia, as plantas < 1 m sofreram forte redução no tratamento com glifosato. No terceiro experimento, o número de plântulas de capim-colonião diminuiu com as repetidas remoções, e após quatro anos, a abundância total e a riqueza de espécies pioneiras foram maiores nos tratamentos de remoção. A competição com o capim-colonião parece estar associada mais fortemente com outros parâmetros do que com a luz, e com espécies pioneiras. M. maximus é causa da lenta sucessão local, embora esteja sendo suprimida vagarosamente pela vegetação, denotando a importância da estrutura arbórea, da proximidade com o fragmento florestal para chegada de novos indivíduos e do isolamento de fogo da área. As técnicas podem ser usadas para acelerar a sucessão local, entretanto, o uso de glifosato deve ser restrito a áreas com baixa cobertura de dossel no inverno (< 70%), por essas demandarem mais manutenções, e pela técnica ser mais prejudicial à regeneração, pois houve alta mortalidade (73%) de indivíduos < 1 m em áreas com densa infestação (100%).
We conducted three experiments to study the responses of regeneration and the impacts of different control techniques on guinea grass (Megathyrsus maximus (Jacq.) B. K. Simon & S. W. L. Jacobs) in a 20-year reforestation site. In the first and second experiments, 30 plots of 10 x 20 m were installed and divided into three groups with 10 plots each: control, mowing with costal trimmers and mowing following Roundup Transorb R ® (glyphosate) application. We sampled all individuals of woody species > 1 m, and to sample individuals > 10 cm and < 1 m, two sub-plots of 5 x 5 m were established in each plot. Only in experiment 1, we accompanied only individuals who were previously marked before the first mowing of M. maximus, for checking the mortality and damage on regeneration by the techniques. In third experiment, 45 plots of 5 x 5 m were installed and divided in three groups with 10 plots each: control, manual weeding for a year and manual weeding for two. All individuals of woody species > 10 cm were sampled. Data like abundance and species richness, cover, number of seedlings and seed bank of M. maximus, canopy cover, recruitment and mortality were collected. In the first experiment, there was no difference between the mortality of removal treatments with natural mortality find in control, and only in the treatment with exclusive use of coastal trimmers, abundance and species richness for individuals > 1 m remained unchanged. The final cost of the mowing treatment was 34.1% higher than the cost of herbicide treatment, and even if the cost to perform new interventions decrease for both, there are increased costs when there is need for interventions scattered over small areas. In second experiment, the amount of guinea grass seeds was lower in areas with more regenerants, and with improved regeneration of control, there were no differences for the three groups, however, plants < 1 m were strongly reduced in glyphosate treatment. In third experiment, the number of guinea grass seedlings decreased with repeated removals, and after four years, the total abundance and pioneer species richness were greater in removal treatments. Competition with M. maximus appears to be associated more strongly with other parameters than light, and with pioneer species. Guinea grass causes the slow succession site, but is being suppressed by the vegetation gradually, emphasizing the importance of the tree structure, proximity to the forest fragment (to arrival of new seedlings) and isolation of the fire. The techniques can be used to accelerate the succession site, however, the use of glyphosate should be restricted to areas with low winter canopy cover (< 70%), as theses demanding more maintenance, and because the technique is more damaging on regeneration, since there was high mortality (73%) of individuals < 1 m in areas with dense infestation (100%).
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Kurlov, Sergii [Verfasser], W. Ted [Gutachter] Masselink, Henning [Gutachter] Riechert, and Jacob B. [Gutachter] Khurgin. "Scattering-Rate Approach for Vertical Electron Transport in III-V Quantum Cascade Heterostructures / Sergii Kurlov ; Gutachter: W. Ted Masselink, Henning Riechert, Jacob B. Khurgin." Berlin : Humboldt-Universität zu Berlin, 2018. http://d-nb.info/1185665811/34.

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Книги з теми "Jacobi B"

1

Leitbilder und romanhafte Züge in apokryphen Evangelientexten: Untersuchungen zur Motivik und Erzählstruktur (anhand des Protevangelium Jacobi und der Acta Pilati Graec. B). Stuutgart: Franz Steiner Verlag, 2004.

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1944-, Katz Steven T., ed. The essential Agus: The writings of Jacob B. Agus. New York: New York University Press, 1997.

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Glatfelter, Charles Henry. The Jacob B. and Sarah Ann Miller family: Roots and branches. Glenville, Pennsylvania: Jacob B. and Sarah Ann Miller Reunion, 1996.

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Dominguez, André J. Descendants of Abraham Moyer, Jacob B. Mayer's 4th child, Schuylkill County, Pennsylvania (1782 to 1996). Bloomsburg, PA: A.J. Dominguez, 1996.

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5

Helm, David A. Helms of Germany and Pennsylvania: Ancestry and descendants of three Helms cousins from Beerfelden Parish : Johann Friederich Helm, b. 1730; Johann Nicolaus Helm, b. 1714; Johann Jacob Helm, b. 1726. Miami, OK: Timbercreek, 1992.

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Dominguez, André J. Descendants of Daniel Moyer, Sr., (Jacob B. Mayer's 8th child) Schuylkill County, Pennsylvania, (1788 to 1999). Bloomsburg, PA: A.J. Dominguez, 1999.

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7

Shacharon, Jacob. Israel with Jacob: A comprehensive tour in the Holy Land with many b/w and color pictures. Herzlia, Israel: Unipress Publishers Israel, 1986.

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8

Alex, Klerman Jacob, ed. Enlistment decisions in the 1990s : b evidence from individual-level data / c M. Rebecca Kilburn and Jacob A. Klerman. Santa Monica, CA: RAND, 1999.

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9

Hoseth, Angela. Status, landscape, and tenancy at Mount Vernon place: Final archaeological investigations of the Jacob B. Cazier site #2, State Route 896, New Castle County, Delaware. [Dover, Del.]: Division of Planning, 1994.

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Byers, Alden S. The antecedents of Jacob Byers, b. prior 1754-7, d. 1801, and Ann (Nancy) Douglass, b. prior 1764, d. 1833: Containing various genealogical data on associated Scottish, Scotch-Irish, and English Byers families of colonial Pennsylvania : a search for identity. Palm Springs, CA: A.S. Byers, 1991.

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Частини книг з теми "Jacobi B"

1

Evans, Myron, and Jean-Pierre Vigier. "Derivation of B(3) from the Relativistic Hamilton-Jacobi Equation of e in Aμ." In The Enigmatic Photon, 171–83. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-010-9838-0_12.

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"CARMINA DUO S. JACOBI SARUGENSIS DE B. M. V." In De Vita et Scriptis Sancti Jacobi, Batnarum Sarugi in Mesopotamia Episcopi, 199–302. Piscataway, NJ, USA: Gorgias Press, 2010. http://dx.doi.org/10.31826/9781463224042-006.

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"Appendix B. From The Jacobi, To A Riccati, To The Raychaudhuri Equation." In Global Lorentzian Geometry, 573–86. Boca Raton \ London \ New York: Crc Press, 2017. http://dx.doi.org/10.1201/9780203753125-17.

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Konvitz, Milton R. "Jacob B. Agus." In Nine American Jewish Thinkers, 147. Routledge, 2018. http://dx.doi.org/10.4324/9781351326681-13.

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"Appendix B:." In The Jacobite Duchess, 212–13. Boydell UK, 2021. http://dx.doi.org/10.2307/j.ctv1zcm38d.17.

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"B. Tomus primus Musici Operis." In Jacob Handl-Gallus, 471–513. Hollitzer Verlag, 2012. http://dx.doi.org/10.2307/j.ctvg8p5ns.21.

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"Chapter 12 R. Samuel b. Jacob." In “The Compassionate and Benevolent”: Jewish Ruling Elites in the Medieval Islamicate World, 178–83. De Gruyter, 2020. http://dx.doi.org/10.1515/9783110713619-017.

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"37. Hiatoplastik (Lortat-Jacob)." In Operationsatlas Chirurgie, edited by Volker Schumpelick, Reinhard Kasperk, and Michael Stumpf. Stuttgart: Georg Thieme Verlag, 2013. http://dx.doi.org/10.1055/b-0034-56909.

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"36. Hiatoplastik (Lortat-Jacob)." In Operationsatlas Chirurgie, edited by Volker Schumpelick. Stuttgart: Georg Thieme Verlag, 2006. http://dx.doi.org/10.1055/b-0034-36855.

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"36. Hiatoplastik (Lortat-Jacob)." In Operationsatlas Chirurgie, edited by Volker Schumpelick. Stuttgart: Georg Thieme Verlag, 2009. http://dx.doi.org/10.1055/b-0034-37257.

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Тези доповідей конференцій з теми "Jacobi B"

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Djellouli, Rabia, Charbel Farhat, and Radek Tezaur. "Newton-Like Method for Solving Inverse Obstacle Acoustic Scattering Problems." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1594.

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Abstract A Newton-like method is designed for determining the shape or sought-after shape modifications of a scatterer from the knowledge of acoustic far-field patterns at a given number of observation points. This method distinguishes itself from existing numerical procedures by the following features: (a) exact Jacobian matrices for the linearized problems rather than approximate ones, (b) a fast numerical procedure for computing these Jacobian matrices, (c) a computationally efficient absorbing boundary condition for the finite element discretization, and (d) a numerically scalable domain decomposition methods for the fast solution of high-frequency direct acoustic scattering problems.
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Wang, Cunfu, Songtao Xia, Xilu Wang, and Xiaoping Qian. "Isogeometric Shape Optimization on Triangulations." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59611.

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The paper presents an isogeometric shape optimization method that is based on Bézier triangles. Bézier triangles are used to represent both the geometry and physical fields. For a given physical domain defined by B-spline boundary, triangular Bézier parameterization can be automatically generated. This shape optimization method is thus applicable to structures of complex topology. Due to the use of B-spline parameterization of the boundary, the optimized shape can be compactly represented with a relatively small number of optimization variables. In order to ensure mesh validity during shape optimization, we adopt a bi-level mesh representation, where the coarse mesh is used to maintain mesh quality through positivity of Jacobian ordinates of the Bézier triangles. The fine mesh is used in isogeometric analysis for numerical accuracy. Numerical examples are presented to demonstrate the efficacy of the proposed method.
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Afzal, M., I. Lopez Arteaga, L. Kari, and V. Kharyton. "Investigation of Damping Potential of Strip Damper on a Real Turbine Blade." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-57230.

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This paper investigates the damping potential of strip dampers on a real turbine bladed disk. A 3D numerical friction contact model is used to compute the contact forces by means of the Alternate Frequency Time domain method. The Jacobian matrix required during the iterative solution is computed in parallel with the contact forces, by a quasi-analytical method. A finite element model of the strip dampers, that allows for an accurate description of their dynamic properties, is included in the steady-state forced response analysis of the bladed disk. Cyclic symmetry boundary conditions and the multiharmonic balance method are applied in the formulation of the equations of motion in the frequency domain. The nonlinear forced response analysis is performed with two different types of boundary conditions on the strip: (a) free-free and (b) elastic, and their influence is analyzed. The effect of the strip mass, thickness and the excitation levels on the forced response curve is investigated in detail.
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Anno, Kotaro, George J. Moridis, and Thomas A. Blasingame. "JFTS+H: A Julia-Based Parallel Simulator for the Description of the Coupled flow, Thermal and Geochemical Processes in Hydrate-Bearing Geologic Media." In SPE Reservoir Simulation Conference. SPE, 2021. http://dx.doi.org/10.2118/203953-ms.

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Abstract The objectives of this study are to develop (a) the Julia Flow and Transport Simulator (JFTS), a serial and parallel, high performance non-isothermal, multi-phase, multi-component general simulator of flow and transport through porous/fractured media, and (b) an associated module that describes quantitatively the Equation-of-State (EOS) of the complete H2O+CH4 system by covering all combinations of phase coexistence that are possible in geologic media and including all the regions of the phase diagram that involve CH4-hydrates. The resulting simulator (hereafter referred to as the JFTS+H code) can describe all possible scenarios of hydrate occurrence, dissociation and formation/evolution and is to be used for the investigation of problems of (a) gas production from natural CH4-hydrate accumulations in geologic media, as well as for (b) the analysis of any laboratory experiments involving CH4-hydrates. As indicated by the JFTS name, this simulator is written in the Julia programming language and its parallelization is based on the Message Passing Interface (MPI) approach. The JFTS+H simulator is a fully-implicit, Jacobian-based compositional simulator that describes the accumulation, flow and transport of heat, and up to four mass components (H2O, CH4, CH4-hydrate and a water-soluble inhibitor) distributed among four possible phases (aqueous, gas, hydrate, and ice) in complex 3D geologic systems. The dissociation and formation of CH4-hydrates can be described using either an equilibrium or a kinetic model. The automatic derivate capability of Julia greatly simplifies and enhances the Jacobian computations. The MPI Interface (Blaise, 2019) is implemented in all components of the code, and the METIS library (Karypis, 2013) is used for the domain decomposition needed for the effective parallelization of the solution of the Jacobian matrix equation that is accomplished using the LIS library (Nishida, 2010) of parallel Conjugate Gradient solvers for large systems of simultaneous linear equations. The JFTS+H code can model the fluid flow, thermal and geochemical processes associated with the formation and dissociation of CH4-hydrates in geological media, either in laboratory or in natural hydrate accumulations. This code can simulate any combination of the three possible gas hydrate dissociation methods (depressurization, thermal stimulation, and inhibitor effects), and computes all associated parameters describing the system behavior. The JFTS+H results show very good agreement with solutions of standard reference problems, and of large 2D and 3D problems obtained from another well-established and widely used numerical simulator. The code exploits the speed, computational efficiency and low memory requirements of the Julia programming language. The parallel architecture of JFTS+H addresses the persistent problem of very large computational demands in serial hydrate simulations by using multiple processors to reduce the overall execution time and achieve scalable speedups. The code minimizes communications between processors and maximizes computations within the same computational node, which has important consequences (especially when coupled with the automatic derivative capabilities of Julia) on performance in the development of the Jacobian matrix. An optimal LIS solver is recommended for this type of problem after evaluating different options. This approach provides both speedup and computational efficiency results when different numbers of processors are called in the solution process. This work is believed to be the first application of Julia (a new, highly efficient language designed for demanding scientific computations) to create a simulator for flow and transport in porous media. JFTS+H is a fast, robust parallel simulator that uses the most recent scientific advances to account for all known processes in a dynamic hydrate system and works seamlessly on any computational platform (from laptop computers to workstations, to clusters and supercomputers with thousands of processors).
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Chen, Xiaofei. "Spatial Structure in Chinese and Japanese Cities: A Comparative Study of the Supergrid and Superblock Structure." In 24th ISUF 2017 - City and Territory in the Globalization Age. Valencia: Universitat Politècnica València, 2017. http://dx.doi.org/10.4995/isuf2017.2017.4555.

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Title: Spatial Structure in Chinese and Japanese Cities: A Comparative Study of the Supergrid and Superblock StructureAuthor Name: Xiao Fei Chen Affiliation: Faculty of Architecture Design and Planning, The University of Sydney Address: The Wilkinson Bldg G04, 148 City Rd, Darlington NSW 2008 Email Address: xche3951@Sydney.edu.au Mobile: 61 (02) 0450875226 Keywords: Supergrid and Superblock, Urban Morphology, China and JapanAbstract:Supergrids and Superblocks form an urban structure that extends across large areas of many Chinese and Japanese cities. The grid structures consist of wide roads at a city scale and define Superblocks, each with a network of narrower streets. My paper investigates the form-function interrelationships of these structures from morphological perspectives against a backcloth of theory that stresses an integrated network of streets as the prerequisite for a convenient and synergetic environment, with a specific focus on road/street networks, and mix and distribution of functional activities. Both qualitative and quantitative methods (including space syntax) are used to investigate four Superblocks from two pairs of Chinese and Japanese cities: Xi’an and Kyoto, and Nanjing and Osaka, from three aspects: integration, connection and interaction. Here I focus on the Nanjing-Osaka pair and the findings demonstrate clear but divergent patterns between the two cities, which are indicative of general differences between Chinese and Japanese Superblocks: there are very strong interrelationships between the street network and distribution of activities in the Japanese Superblocks, but these are much less evident in the Chinese Superblocks and this results largely from the extensive Chinese cultural practice of building walls around compounds. It reveals some structural disadvantages, leading to congestion of traffic and functional activities in some strategic locations in Chinese Superblocks. It also highlights some crucial qualities in the structures of many Japanese Superblocks that can provide inspiration for China’s future urban development and possibly for cities in other parts of the world.Reference:Alexander, C. (1965) ‘A city is not a tree’, Architectural Forum 122, 58-62. Ashihara, Y. (1983) The Aesthetic Townscape, US: Massachusetts Institute Technology Press Halliday Lithograph. Bentley et al., (1985) Responsive environments: a manual for designers (London: Architectural Press). Hillier, B. (1996) Space is the machine (Cambridge University Press, Cambridge). Jacobs, J. (1961) The death and life of great American cities (New York: Random House). Marshall, S. (2005) Streets &amp; Patterns, (Spon Press, Taylor &amp; Francis Group). Shelton, B. (2012) Learning from the Japanese City: Looking East in Urban Design (Routledge imprint of Taylor &amp; Francis, London). Zhu, W.Y. (2010) Space, Symbol and City: a Theory of Urban Design (China Architecture &amp; Building Press, Beijing.
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Fong, Jeffrey T., Pedro V. Marcal, Robert Rainsberger, Li Ma, N. Alan Heckert, and James J. Filliben. "Finite Element Method Solution Uncertainty, Asymptotic Solution, and a New Approach to Accuracy Assessment." In ASME 2018 Verification and Validation Symposium. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/vvs2018-9320.

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Errors and uncertainties in finite element method (FEM) computing can come from the following eight sources, the first four being FEM-method-specific, and the second four, model-specific: (1) Computing platform such as ABAQUS, ANSYS, COMSOL, LS-DYNA, etc.; (2) choice of element types in designing a mesh; (3) choice of mean element density or degrees of freedom (d.o.f.) in the same mesh design; (4) choice of a percent relative error (PRE) or the Rate of PRE per d.o.f. on a log-log plot to assure solution convergence; (5) uncertainty in geometric parameters of the model; (6) uncertainty in physical and material property parameters of the model; (7) uncertainty in loading parameters of the model, and (8) uncertainty in the choice of the model. By considering every FEM solution as the result of a numerical experiment for a fixed model, a purely mathematical problem, i.e., solution verification, can be addressed by first quantifying the errors and uncertainties due to the first four of the eight sources listed above, and then developing numerical algorithms and easy-to-use metrics to assess the solution accuracy of all candidate solutions. In this paper, we present a new approach to FEM verification by applying three mathematical methods and formulating three metrics for solution accuracy assessment. The three methods are: (1) A 4-parameter logistic function to find an asymptotic solution of FEM simulations; (2) the nonlinear least squares method in combination with the logistic function to find an estimate of the 95% confidence bounds of the asymptotic solution; and (3) the definition of the Jacobian of a single finite element in order to compute the Jacobians of all elements in a FEM mesh. Using those three methods, we develop numerical tools to estimate (a) the uncertainty of a FEM solution at one billion d.o.f., (b) the gain in the rate of PRE per d.o.f. as the asymptotic solution approaches very large d.o.f.’s, and (c) the estimated mean of the Jacobian distribution (mJ) of a given mesh design. Those three quantities are shown to be useful metrics to assess the accuracy of candidate solutions in order to arrive at a so-called “best” estimate with uncertainty quantification. Our results include calibration of those three metrics using problems of known analytical solutions and the application of the metrics to sample problems, of which no theoretical solution is known to exist.
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Wir-Konas, Agnieszka, and Kyung Wook Seo. "Between territories: Incremental changes to the domestic spatial interface between private and public domains." In 24th ISUF 2017 - City and Territory in the Globalization Age. Valencia: Universitat Politècnica València, 2017. http://dx.doi.org/10.4995/isuf2017.2017.6061.

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Between territories: Incremental changes to the domestic spatial interface between private and public domains. Agnieszka Wir-Konas¹, Kyung Wook Seo¹ ¹Department of Architecture and Built Environment, Northumbria University, Newcastle upon Tyne. Newcastle City Campus, 2 Ellison Pl, Newcastle upon Tyne NE1 8ST. E-mail: agnieszka.wir-konas@northumbria.ac.uk, kyung.seo@northumbria.ac.uk Keywords (3-5): building-street interface, incremental change, micro-morphology, private-public boundary, territory Conference topics and scale: Urban form and social use of space In this paper we investigate incremental changes to the relationship between private and public territory on the micro-morphological scale of the residential building-street interface. The building-street interface lies on the edge between two distinctively different spatial domains, the house and the street, and provides a buffer which may be adjusted to aid the transition from private to public territory. The structure of the space impacts both domains: it provides a fit transition from the private dwelling to the public territory, creates a space for probabilistic encounters between inhabitants and strangers, and maintains the liveability of the public street. The aim of this paper is threefold: Firstly, we recognise morphological differences in the structure of the interfaces and the way the transition from private to public territory was envisioned and designed in different societal periods. Secondly, we study incremental changes to the interface, representing individual adjustments to the private-public boundary, in order to recognize common types of adaptations to the existing structure of the interface. The history of changes to each individual building and building-street interface was traced by analysing planning applications and enforcements publicly provided by the city council. Lastly, we compare the capacity of each building-street interface to accommodate incremental change to the public-private transition. We argue that studying the incremental change of the interface and the capacity of each interface to accommodate micro-scale transformations aids in the understanding of the complex social relationship between an individual and a collective in the urban environment. References (180 words) Conzen, M. R. G. (1960). Alnwick, Northumberland: a study in town-plan analysis. Transactions and Papers (Institute of British Geographers) 27, iii-122. Gehl, J. (1986) ‘Soft edges in residential streets’. Scandinavian Housing and Planning Research 3(2), 89-192 Gehl, J. (2013) Cities for People (Island Press, Washington DC). Habraken, N. J. and Teicher, J. (2000) The structure of the ordinary: form and control in the built environment (MIT press, Cambridge). Hillier, B. and Hanson, J. (1984) The Social Logic of Space (Cambridge: Cambridge University Press). Jacobs, J. (1961) The Death and Life of Great American Cities (Middlesex: Penguin, Harmondsworth). Lawrence, R. J. (1987) Housing, dwellings and homes: Design theory, research and practice (John Wiley, Chichester). Palaiologou, G., Griffiths, S., and Vaughan, L. (2016), ‘Reclaiming the virtual community for spatial cultures: Functional generality and cultural specificity at the interface of building and street’. Journal of Space Syntax 7(1), 25-54. Whitehand, J. W. R. and Morton, N. J. and Carr, C. M. H. (1999) ‘Urban Morphogenesis at the Microscale: How Houses Change’, Environment and Planning B: Planning and Design 26(4), 503-515.
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Mehraban, Arash, Jed Brown, Henry Tufo, Jeremy Thompson, Rezgar Shakeri, and Richard Regueiro. "Efficient Parallel Scalable Matrix-Free 3D High-Order Finite Element Simulation of Neo-Hookean Compressible Hyperelasticity at Finite Strain." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-70768.

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Abstract The paper investigates matrix-free high-order implementation of finite element discretization with p-multigrid preconditioning for the compressible Neo-Hookean hyperelasticity problem at finite strain on unstructured 3D meshes in parallel. We consider two formulations for the matrix-free action of the Jacobian in Neo-Hookean hyperelasticity: (i) working in the reference configuration to define the second Piola-Kirchhoff tensor as a function of the Green-Lagrange strain S(E) (or equivalently, the right Cauchy-Green tensor C = I+2E), and (ii) working in the current configuration to define the Kirchhoff stress in terms of the left Cauchy-Green tensor τ(b). The proposed efficient algorithm utilizes the Portable, Extensible Toolkit for Scientific Computation (PETSc), along with the libCEED library for efficient compiler optimized tensor-product-basis computation to demonstrate an efficient nonlinear solution algorithm. We utilize p-multigrid preconditioning on the high-order problem with algebraic multigrid (AMG) on the assembled linear Q1 coarse grid operator. In contrast to classical geometric multigrid, also known as h-multigrid, each level in p-multigrid is related to a different approximation polynomial order p, instead of the element size h. A Chebyshev polynomial smoother is used on each multigrid level. AMG is then applied to the assembled Q1 (trilinear hexahedral elements), which allows low storage that can be efficiently used to accelerate convergence to a solution. For the compressible Neo-Hookean hyperelastic constitutive model we exploit the stored energy density function to compute the stored elastic energy density of the Neo-Hookean material as it relates to the deformation gradient. Based on our formulation, we consider four different algorithms each with different storage strategies. Algorithms 1 and 3 are implemented in the reference and current configurations respectively and store ∇Xξ, det(∇ξX), and ∇Xu. Algorithm 2 in the reference configuration stores, ∇Xξ, det(∇ξX), ∇Xu, C−1, and λ log (J). Algorithm 4, in the current configuration, stores det(∇ξX), ∇xξ, τ, and μ – λ log(J). x refers to the current coordinates, X to the reference coordinates, and ξ to the natural coordinates. We perform 3D bending simulations of a tube composed of aluminum (modulus of elasticity E = 69 GPa, Poisson’s ratio v = 0.3) using unstructured meshes and polynomials of order p = 1 through p = 4 under mesh refinement. We explore accuracy-time-cost tradeoffs for the prediction of strain energy across the range of polynomial degrees and Jacobian representations. In all cases, Algorithm 4 using the current configuration formulation outperforms the other three algorithms and requires less storage. Similar simulations for large deformation compressible Neo-Hookean hyperelasticity as applied to the same aluminum material are conducted with ABAQUS, a commercial finite element software package which is a state-of-the-art engineering software package for finite element simulations involving large deformation. The best results from the proposed implementations and ABAQUS are compared in the case of p = 2 on an Intel system with @2.4 GHz and 128 GB RAM. Algorithm 4 outperforms ABAQUS for polynomial degree p = 2.
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Unseren, M. A., and D. B. Reister. New insights into input relegation control for inverse kinematics of a redundant manipulator. Part 1, On the orthogonality of matrices B and J and comparison to the extended Jacobian method. Office of Scientific and Technical Information (OSTI), July 1995. http://dx.doi.org/10.2172/91980.

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