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Academic literature on the topic 'RHPM'

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Published: 14 March 2023

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Journal articles on the topic "RHPM"

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Han, Yu Du, and Jae Heon Yun. "Performance of Restarted Homotopy Perturbation Method for TV-Based Image Denoising Problem." Mathematical Problems in Engineering 2015 (2015): 1–18. http://dx.doi.org/10.1155/2015/207541.

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We first propose a restarted homotopy perturbation method (RHPM) for solving a nonlinear PDE problem which repeats HPM process by computing only the first few terms instead of computing infinite terms, and then we present an application of RHPM to TV- (Total Variation-) based image denoising problem. The main difficulty in applying RHPM to the nonlinear denoising problem is settled by using binomial series techniques. We also provide finite difference schemes for numerical implementation of RHPM. Lastly, numerical experiments for several test images are carried out to demonstrate the feasibility, efficiency, and reliability of RHPM by comparing the performance of RHPM with that of existing TM and recently proposed RHAM methods.
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Shcherba, V. E. "Method for estimating the operating time in the compressor mode of a reciprocating hybrid power machine with regenerative heat exchange." Proceedings of Higher Educational Institutions. Маchine Building, no. 10 (751) (October 2022): 96–102. http://dx.doi.org/10.18698/0536-1044-2022-10-96-102.

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The influence of the average wall temperature on the main consumption and energy characteristics of a reciprocating hybrid power machine (RHPM) with regenerative heat exchange has been studied. A significant effect of a change in the average wall temperature on the supply coefficient and the indicator isothermal efficiency of the RHPM operating in the compressor mode is shown. Based on the results obtained, a method has been developed for determining the operating time of the RHPM in the compressor mode, based on the given average value of the indicator isothermal efficiency in the studied interval of the average temperature of the wall of the surface of the working chamber, or the operating time of the RHPM.
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Vázquez-Leal, Héctor. "Rational Homotopy Perturbation Method." Journal of Applied Mathematics 2012 (2012): 1–14. http://dx.doi.org/10.1155/2012/490342.

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The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method (RHPM) as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first example, a comparison between the proposed method and the HPM method is presented; it will show how the RHPM generates highly accurate approximate solutions requiring less iteration, in comparison to results obtained by the HPM method. For the second example, which is a Van der Pol oscillator problem, we compare RHPM, HPM, and VIM, finding out that RHPM method generates the most accurate approximated solution.
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PEIRIS, T. S. G., and R. O. THATTIL. "THE STUDY OF CLIMATE EFFECTS ON THE NUT YIELD OF COCONUT USING PARSIMONIOUS MODELS." Experimental Agriculture 34, no. 2 (April 1998): 189–206. http://dx.doi.org/10.1017/s0014479798002051.

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The coconut yield is harvested in six picks per year at two-monthly intervals. The yield variation between and within years is very complex and this variability has not yet been explained. The analysis of long-term nut yield and monthly climate data: rainfall (RF), pan evaporation (EV), sunshine duration (SS), wind velocity (WV), minimum and maximum air temperatures (TMIN and TMAX), and relative humidity in forenoons and afternoons (RHAM and RHPM), using multivariate methods enabled the use of the variables TMAX, RHPM and EV as significantly important determinants (parsimonious set of variables) to represent the effects of climate on coconut irrespective of picks. Parsimonious models developed using these three variables explain how the development of bunches during the active growth period responded to climate variables without physiological parameters. The models are desirable where interpretation is concerned. The yields of picks one to six were determined by the climate variability during February, June, July, September, December and February respectively. Based on the models the proper timing of the use of some agronomic practices to enhance the productivity was recommended. A common model was also fitted (R2 = 0.81; p < 0.002) to estimate the annual yield 18 months in advance using EV, RHPM and TMAX. The three variables influence the microclimate around the crown of the palm for utilizing solar radiation in dry matter partitioning and thereby nut production. The method used to screen climatic variables so as to develop parsimonious crop–weather models using multivariate and univariate techniques can be used for other tree crops.
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Vazquez-Leal, Hector, Hüseyin Koçak, and Inan Ates. "Rational Approximations for Heat Radiation and Troesch’s Equations." International Journal of Computational Methods 13, no. 03 (May 31, 2016): 1650039. http://dx.doi.org/10.1142/s0219876216500390.

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In this paper, a new tool for the solution of nonlinear differential equations is presented. It is named rational homotopy perturbation method (RHPM). It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, three nonlinear problems are solved and compared against other semi-analytic methods or numerical methods. Furthermore, in order to deal with BVP problems, we propose a modification of RHPM method. The obtained results show that RHPM is a powerful tool capable to generate highly accurate rational solutions.
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Han, Yu Du, and Jae Heon Yun. "Performance of the Restarted Homotopy Perturbation Method and Split Bregman Method for Multiplicative Noise Removal." Mathematical Problems in Engineering 2018 (December 6, 2018): 1–21. http://dx.doi.org/10.1155/2018/7696798.

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In this paper, we first propose restarted homotopy perturbation methods (RHPM) for multiplicative noise removal of the RLO and AA2 models. The main difficulty in applying the RHPM to the nonlinear denoising problem is settled by using binomial series techniques. We next propose the split Bregman methods for multiplicative noise removal of the RLO and AA2 models. The difficulty in applying the split Bregman method to the nonlinear denoising problem can be handled by transforming ill-conditioned linear systems into well-conditioned linear systems using splitting techniques of singular matrices. Lastly, numerical experiments for several test problems are provided to demonstrate the efficiency and reliability of the RHPM and split Bregman methods.
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Nishimoto, Norihiro, Mitsuko Sasai, Yoshihito Shima, Masashi Nakagawa, Tomoshige Matsumoto, Toshikazu Shirai, Tadamitsu Kishimoto, and Kazuyuki Yoshizaki. "Improvement in Castleman's disease by humanized anti-interleukin-6 receptor antibody therapy." Blood 95, no. 1 (January 1, 2000): 56–61. http://dx.doi.org/10.1182/blood.v95.1.56.

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Abstract Castleman's disease, an atypical lymphoproliferative disorder, can be classified into 2 types: hyaline-vascular and plasma cell types according to the histologic features of the affected lymph nodes. The plasma cell type is frequently associated with systemic manifestations and is often refractory to systemic therapy including corticosteroids and chemotherapy, particularly in multicentric form. Dysregulated overproduction of interleukin-6 (IL-6) from affected lymph nodes is thought to be responsible for the systemic manifestations of this disease. Therefore, interference with IL-6 signal transduction may constitute a new therapeutic strategy for this disease. We used humanized anti-IL-6 receptor antibody (rhPM-1) to treat 7 patients with multicentric plasma cell or mixed type Castleman's disease. All patients had systemic manifestations including secondary amyloidosis in 3. With the approval of our institution's ethics committee and the consent of the patients, they were treated with 50 to 100 mg rhPM-1 either once or twice weekly. Immediately after administration of rhPM-1, fever and fatigue disappeared, and anemia as well as serum levels of C-reactive protein (CRP), fibrinogen, and albumin started to improve. After 3 months of treatment, hypergammaglobulinemia and lymphadenopathy were remarkably alleviated, as were renal function abnormalities in patients with amyloidosis. Treatment was well tolerated with only transient leukopenia. Histopathologic examination revealed reduced follicular hyperplasia and vascularity after rhPM-1 treatment. The pathophysiologic significance of IL-6 in Castleman's disease was thus confirmed, and blockade of the IL-6 signal by rhPM-1 is thought to have potential as a new therapy based on the pathophysiologic mechanism of multicentric Castleman's disease. (Blood. 2000;95:56-61)
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Nishimoto, Norihiro, Mitsuko Sasai, Yoshihito Shima, Masashi Nakagawa, Tomoshige Matsumoto, Toshikazu Shirai, Tadamitsu Kishimoto, and Kazuyuki Yoshizaki. "Improvement in Castleman's disease by humanized anti-interleukin-6 receptor antibody therapy." Blood 95, no. 1 (January 1, 2000): 56–61. http://dx.doi.org/10.1182/blood.v95.1.56.001k13_56_61.

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Castleman's disease, an atypical lymphoproliferative disorder, can be classified into 2 types: hyaline-vascular and plasma cell types according to the histologic features of the affected lymph nodes. The plasma cell type is frequently associated with systemic manifestations and is often refractory to systemic therapy including corticosteroids and chemotherapy, particularly in multicentric form. Dysregulated overproduction of interleukin-6 (IL-6) from affected lymph nodes is thought to be responsible for the systemic manifestations of this disease. Therefore, interference with IL-6 signal transduction may constitute a new therapeutic strategy for this disease. We used humanized anti-IL-6 receptor antibody (rhPM-1) to treat 7 patients with multicentric plasma cell or mixed type Castleman's disease. All patients had systemic manifestations including secondary amyloidosis in 3. With the approval of our institution's ethics committee and the consent of the patients, they were treated with 50 to 100 mg rhPM-1 either once or twice weekly. Immediately after administration of rhPM-1, fever and fatigue disappeared, and anemia as well as serum levels of C-reactive protein (CRP), fibrinogen, and albumin started to improve. After 3 months of treatment, hypergammaglobulinemia and lymphadenopathy were remarkably alleviated, as were renal function abnormalities in patients with amyloidosis. Treatment was well tolerated with only transient leukopenia. Histopathologic examination revealed reduced follicular hyperplasia and vascularity after rhPM-1 treatment. The pathophysiologic significance of IL-6 in Castleman's disease was thus confirmed, and blockade of the IL-6 signal by rhPM-1 is thought to have potential as a new therapy based on the pathophysiologic mechanism of multicentric Castleman's disease. (Blood. 2000;95:56-61)
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&NA;. "rhPM-1 beneficial in Castleman's disease." Inpharma Weekly &NA;, no. 1226 (February 2000): 9. http://dx.doi.org/10.2165/00128413-200012260-00019.

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Albalawi, Kholoud Saad, Badr Saad Alkahtani, Ashish Kumar, and Pranay Goswami. "Numerical Solution of Time-Fractional Emden–Fowler-Type Equations Using the Rational Homotopy Perturbation Method." Symmetry 15, no. 2 (January 17, 2023): 258. http://dx.doi.org/10.3390/sym15020258.

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The integral-order derivative is not suitable where infinite variances are expected, and the fractional derivative manages to consider effects with more precision; therefore, we considered time-fractional Emden–Fowler-type equations and solved them using the rational homotopy perturbation method (RHPM). The RHPM method is based on two power series in rational form. The existence and uniqueness of the equation are proved using the Banach fixed-point theorem. Furthermore, we approximate the term h(z) with a polynomial of a suitable degree and then solve the system using the proposed method and obtain an approximate symmetric solution. Two numerical examples are investigated using this proposed approach. The effectiveness of the proposed approach is checked by representing the graphs of exact and approximate solutions. The table of absolute error is also presented to understand the method’s accuracy.
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Dissertations / Theses on the topic "RHPM"

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Marangoni, Davide. "On Derived de Rham cohomology." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0095.

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La cohomologie de de Rham dérivée a été introduite par Luc Illusie en 1972, suite à ses travaux sur le complexe cotangent. Cette théorie semble avoir été oubliée jusqu’aux travaux récents de Bhatt et Beilinson, qui ont donné diverses applications, notamment en théorie de Hodge p-adique. D’autre part, la cohomologie de Rham dérivée intervient de manière cruciale dans une conjecture de Flach-Morin sur les valeurs spéciales des fonctions zêta des schémas arithmétiques. Dans cette thèse, on se propose d’étudier et de calculer la cohomologie de de Rham dérivée dans certains cas
The derived de Rham complex has been introduced by Illusie in 1972. Its definition relies on the notion of cotangent complex. This theory seems to have been forgot until the recents works by Be˘ılinson and Bhatt, who gave several applications, in particular in p-adic Hodge Theory. On the other hand, the derived de Rham cohomology has a crucial role in a conjecture by Flach-Morin about special values of zeta functions for arithmetic schemes. The aim of this thesis is to study and compute the Hodge completed derived de Rham complex in some cases
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MARANGONI, DAVIDE MARIA ALFONSO. "ON DERIVED DE RHAM COHOMOLOGY." Doctoral thesis, Università degli Studi di Milano, 2020. http://hdl.handle.net/2434/757243.

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La coomologia di de Rham derivata é stata introdotta da Luc Illusie nel 1972, in seguito ai suoi lavori sul complesso cotangente. Tale teoria sembra essere stata dimenticata fino ai lavori recenti di Bhatt e Beilinson, i quali ne hanno fornito diverse applicazioni, in particolare nella teoria $p$-adica di Hodge. D'altra parte, la coomologia di de Rham derivata interviene in maniera cruciale in una congettura di Flach-Morin sui valori speciali della funzione zeta di schemi aritmetici. In questa tesi ci proponiamo di studiare e calcolare la coomologia di de Rham derivata in certi casi.
The derived de Rham complex has been introduced by Illusie in 1972 as a natural consequence of the definition of the cotangent complex for a scheme morphism. This theory seems to have been forgot until the recents works by Bhatt and Beilinson, who gave several applications, in particular in $p$-adic Hodge Theory. On the other hand, the derived de Rham cohomology has a crucial role in a conjecture by Flach-Morin about special values of zeta functions for arithmetic schemes. The aim of this thesis is to study and compute the Hodge completed derived de Rham complex in some cases.
La cohomologie de de Rham dérivée a été introduite par Luc Illusie en 1972,suite à ses travaux sur le complexe cotangent. Cette théorie semble avoir été oubliéejusqu’aux travaux récents de Bhatt et Beilinson, qui ont donné diverses applications,notamment en théorie de Hodgep-adique. D’autre part, la cohomologie de Rhamdérivée intervient de manière cruciale dans une conjecture de Flach-Morin sur lesvaleurs spéciales des fonctions zêta des schémas arithmétiques. Dans cette thèse, onse propose d’étudier et de calculer la cohomologie de de Rham dérivée dans certainscas.
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Davis, Christopher (Christopher James). "The overconvergent de Rham-Witt complex." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/50593.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.
Includes bibliographical references (p. 83-84).
We define the overconvergent de Rham-Witt complex ... for a smooth affine variety over a perfect field in characteristic p. We show that, after tensoring with Q, its cohomology agrees with Monsky-Washnitzer cohomology. If dim C < p, we have an isomorphism integrally. One advantage of our construction is that it does not involve a choice of lift to characteristic zero. To prove that the cohomology groups are the same, we first define a comparison map ... (See Section 4.1 for the notation.) We cover our smooth affine C with affines B each of which is finite, tale over a localization of a polynomial algebra. For these particular affines, we decompose ... into an integral part and a fractional part and then show that the integral part is isomorphic to the Monsky-Washnitzer complex and that the fractional part is acyclic. We deduce our result from a homotopy argument and the fact that our complex is a Zariski sheaf with sheaf cohomology equal to zero in positive degrees. (For the latter, we lift the proof from [4] and include it as an appendix.) We end with two chapters featuring independent results. In the first, we reinterpret several rings from p-adic Hodge theory in such a way that they admit analogues which use big Witt vectors instead of p-typical Witt vectors. In this generalization we check that several familiar properties continue to be valid. In the second, we offer a proof that the Frobenius map on W(...) is not surjective for p > 2.
by Christopher Davis.
Ph.D.
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Silva, Junior Soares da. "Introdução à cohomologia de De Rham." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-16112017-101825/.

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Começamos definindo a cohomologia clássica de De Rham e provamos alguns resultados que nos permitem calcular tal cohomologia de algumas variedades diferenciáveis. Com o intuito de provar o Teorema de De Rham, escolhemos fazer a demonstração utilizando a noção de feixes, que se mostra como uma generalização da ideia de cohomologia. Como a cohomologia de De Rham não é a única que se pode definir numa variedade, a questão da unicidade dá origem a teoria axiomática de feixes, que nos dará uma cohomologia para cada feixe dado. Mostraremos que a partir da teoria axiomática de feixes obtemos cohomologias, além das cohomologias clássicas de De Rham, a cohomologia clássica singular e a cohomologia clássica de Cech e mostraremos que essas cohomologias obtidas a partir da noção axiomática são isomorfas as definições clássicas. Concluiremos que se nos restringirmos a apenas variedades diferenciáveis, essas cohomologias são unicamente isomorfas e este será o teorema de De Rham.
We begin by defining De Rhams classical cohomology and we prove some results that allow us a calculation of the cohomology of some differentiable manifolds. In order to prove De Rhams Theorem, we chose to make a demonstration using a notion of sheaves, which is a generalization of the idea of cohomology. Since De Rhams cohomology is not a only one that can be made into a variety, the question of unicity gives rise to axiomatic theory of sheaves, which give us a cohomology for each sheaf given. We will show that from the axiomatic theory of sheaves we obtain cohomologies, besides the classical cohomologies of De Rham, a singular classical cohomology and a classical cohomology of Cech and we will show that cohomologies are obtained from the axiomatic notion are classic definitions. We will conclude that if we restrict ourselves to only differentiable manifolds, these cohomologies are uniquely isomorphic and this will be De Rhams theorem.
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Apaza, Nuñez Danny Joel. "El Teorema de De Rham-Saito." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95679.

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The theorem of De Rham-Saito is a generalization of a lemma due to De Rham [3], which was announced and used in [7] by Kyoji Saito, as noproof of this theorem was available, Le Dung Trang encouraged to Saito to publish the proof that can be seen in [8], which indirectly encourages us to detail the proof in this article for the many applications it has,we highlight the Godbillon-Vey algorithm [4]; in the proof of Theorem classical Frobenius given in [2]; in [6] we see some interesting applications, in the proof of Frobenius theorem with singularities [5]. In [1] we givefull details of the proof given by Moussu and Rolin.
El teorema de De Rham-Saito es una generalización de un lema debido a De Rham [3], el cual fue enunciado y usado en [11] por Kyoji Saito, al no haber prueba de este teorema Le Dung Trang anima a Saito a publicar la prueba que puede ser vista en [12], lo cual indirectamente nos motiva a detallarla prueba en este articulo por las muchas aplicaciones que tiene, destacamos el algoritmo de Godbillon-Vey [5]; en la prueba del Teorema de Frobenius clásico dada en [2]; en [8] vemos unas aplicaciones interesantes; en la prueba del Teorema de Frobenius con singularidades [7]; en [1] se detalla la prueba realizada por Moussu y Rolin [10].
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Ewald, Christian-Oliver. "Hochschild homology and de Rham cohomology of stratifolds." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=965191931.

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Stacey, Andrew Edgell. "A construction of semi-infinite de Rham cohomology." Thesis, University of Warwick, 2001. http://wrap.warwick.ac.uk/55501/.

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The purpose of this thesis is to describe a construction of semi-infinite de Rham cohomology for infinite dimensional manifolds equipped with the extra structure of a polarisation. We describe the construction for finite dimensions and show how it extends to other cases; in particular the semi-infinite. We then define variations for Hilbert manifolds which allow us to calculate the semi-infinite cohomology of the projective space and the Grassmannians of a polarised Hilbert space. Finally, we consider some of the implications of these results for index theory, in particular for the Witten genus.
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Costeanu, Viorel 1975. "On the 2-typical de Rham-Witt complex." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/32242.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
Includes bibliographical references (p. 55).
In this thesis we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings Z and Z(2), for the log-ring (Z(2), M) with the canonical log-structure, and we describe its behaviour under polynomial extensions. In an appendix we also describe the p-typical de Rham-Witt complex of (Z(p), M) for p odd.
by Viorel Costeanu.
Ph.D.
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Mendes, Thais Zanutto. "Do cálculo à cohomologia: cohomologia de de Rham." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-17072012-144946/.

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Neste trabalho, estudamos a cohomologia de de Rham e métodos para os seus cálculos. Finalizamos com aplicações da cohomologia de de Rham em teoremas da topologia
In this work we study the de Rham cohomology and methods for its calculations. We close it with applications of the Rham cohomology in theorems from topology
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Munoz, Bertrand Ruben. "Coefficients en cohomologie de De Rham-Witt surconvergente." Thesis, Normandie, 2020. http://www.theses.fr/2020NORMC205.

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Deligne a défini dans les années 70 le complexe de De Rham-Witt, qui permit à Illusie de prouver un théorème de comparaison avec la cohomologie cristalline. Ce résultat fut ensuite étendu par Etesse aux coefficients. En 2004, Bloch démontra que le théorème de comparaison cohomologique étendu aux coefficients d'Etesse possédait une interprétation plus profonde : sous certaines conditions, on obtient en fait une équivalence de catégories entre des cristaux et des connexions de De Rham Witt.Plus récemment, Davis, Langer et Zink ont introduit un complexe de De Rham-Witt surconvergent et démontré des théorèmes de comparaison avec les cohomologies de Monsky-Washnitzer et rigide. Ces derniers furent ensuite étendus aux coefficients par Ertl, qui démontra notamment un quasi-isomorphisme de cohomologie avec les isocristaux surconvergents.On peut alors légitimement se demander si les résultats de Bloch possèdent une variante surconvergente : c'est-à-dire que l'on aimerait pouvoir obtenir une interprétation des isocristaux surconvergents pour la cohomologie de De Rham-Witt surconvergente. On peut y parvenir en considérant des connexions de De Rham-Witt surconvergentes comme définies par Ertl, pour lesquelles on peut raisonnablement espérer retrouver les mêmes opérations cohomologiques que pour les F-isocristaux.Cette question fut la motivation de cette thèse, et le théorème principal de ce travail y répond en partie positivement. Pour y parvenir, il est nécessaire d'expliciter la structure locale du complexe de De Rham-Witt surconvergent, et de redéfinir la notion de surconvergence afin de pouvoir mieux contrôler la convergence des produits de différentielles de De Rham-Witt
Under a few assumptions, we prove an equivalence of category between a subcategory of F-isocristals on a smooth algebraic variety and overcongergent integrable De Rham-Witt connections. We do so by giving an equivalent definition of overconvergence, and by studying the explicit local structure of the De Rham-Witt complex
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Books on the topic "RHPM"

1

Wickham-Jones, C. R. Rhum: The excavations. [Edinburgh]: [Caroline Wickham-Jones], 1987.

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Rhum Caraïbes: Roman. Paris: Albin Michel, 2011.

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Wickham-Jones, C. R. Rhum: The excavations. [Edinburgh]: [Caroline Wickham-Jones], 1986.

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Lemps, Alain Huetz de. Histoire du rhum. Paris: Editions Desjonquères, 1997.

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Jaccoud, Arnold. Le dernier rhum. Paris: Le Cercle des Créatifs Résolus, 2011.

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Régisseur du rhum. Paris: Écriture, 2004.

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Renault, J. M. Bonjour le rhum. Camaruche, Marigot, Saint-Barthélemy (F.W.I.): Editions du Pélican, 1988.

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Confiant, Raphaël. Régisseur du rhum: Récit. Paris: Ecriture, 1999.

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Nature Conservancy Council. North-west Scotland Region. Rhum: National nature reserve. Inverness: Nature Conservancy Council, 1987.

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Touchard, Michel-Claude. L' aventure du rhum. Paris: Bordas, 1990.

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Book chapters on the topic "RHPM"

1

Jänich, Klaus. "De Rham Cohomology." In Vector Analysis, 195–213. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3478-2_11.

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Tu, Loring W. "De Rham Theory." In An Introduction to Manifolds, 273–316. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-7400-6_8.

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Naber, Gregory L. "de Rham Cohomology." In Topology, Geometry, and Gauge Fields, 297–350. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-6850-3_5.

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Lück, Wolfgang. "De Rham-Kohomologie." In Algebraische Topologie, 228–35. Wiesbaden: Vieweg+Teubner Verlag, 2005. http://dx.doi.org/10.1007/978-3-322-80241-5_14.

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Nakahara, Mikio. "De-Rham-Kohomologiegruppen." In Differentialgeometrie, Topologie und Physik, 237–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-45300-1_6.

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Lee, John M. "De Rham Cohomology." In Introduction to Smooth Manifolds, 440–66. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9982-5_17.

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Lee, John M. "De Rham Cohomology." In Introduction to Smooth Manifolds, 388–409. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/978-0-387-21752-9_15.

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Iyengar, Srikanth, Graham Leuschke, Anton Leykin, Claudia Miller, Ezra Miller, Anurag Singh, and Uli Walther. "De Rham cohomology." In Graduate Studies in Mathematics, 191–201. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/gsm/087/19.

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Lee, Jeffrey. "De Rham cohomology." In Graduate Studies in Mathematics, 441–65. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/107/10.

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Huber, Annette. "De Rham cohomology." In Lecture Notes in Mathematics, 57–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0095510.

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Conference papers on the topic "RHPM"

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Schwartz, Daniel. "d-rhum." In ACM SIGGRAPH 97 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH '97. New York, New York, USA: ACM Press, 1997. http://dx.doi.org/10.1145/259081.259171.

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Schwartz, Daniel. "d-rhum." In ACM SIGGRAPH 96 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH '96. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/253607.253670.

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Scheiblechner, Peter. "Effective de Rham cohomology." In the 37th International Symposium. New York, New York, USA: ACM Press, 2012. http://dx.doi.org/10.1145/2442829.2442873.

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Chen, Hongrui, and Xingchen Liu. "Geometry Enhanced Generative Adversarial Networks for Random Heterogeneous Material Representation." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-71918.

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Abstract The representation of material structure geometry is essential to the reconstruction, physical simulation, and the multiscale structure design with Random Heterogeneous Material (RHM). Traditional approaches to material structure representation often need to balance the trade-off between efficacy and accuracy. Recently, deep learning-based techniques have been adopted to reduce the computational time of RHM reconstruction. However, existing approaches generally lack guarantees over key RHM characteristics, including Minkowski functionals and correlation functions. We propose a novel approach to geometrically enhancing the deep learning-based RHM representation by introducing Minkowski functionals, a set of topological and geometrical characteristics of material structure, into the training of conditional Generative Adversarial Networks (cGAN). This hybrid approach combines the feature learning capability of deep learning with the well-established material structure characteristics, greatly improving the accuracy of the RHM representation while maintaining its efficiency. The effectiveness of the proposed hybrid approach is validated through the reconstruction of a wide range of natural and manmade materials, including Voronoi foam structures, femur, and sandstone. Through computational experiments, we demonstrate that geometrically enhancing the training of cGAN for RHM representation not only significantly decreases the representation error in Minkowski functionals between input sample materials and reconstructed results, but also improves the performance of other material structure characteristics, such as two-point correlation functions.
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Malakhaltsev, M. A. "De Rham like cohomology of geometric structures." In Proceedings of the 10th International Conference on DGA2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812790613_0042.

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Pochanard, Pandhita, and Anil Saigal. "Prediction of Rice Husk Particulate-Filled Polymer Composite Properties Using a Representative Volume Element (RVE) Model." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51145.

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In this study, a numerical representative volume element (RVE) model was used to predict the mechanical properties of a Rice Husk Particulate (RHP)-Epoxy composite for use as an alternative material in non-critical applications. Seven different analytical models Counto, Ishai-Cohen, Halpin-Tsai, Nielsen, Nicolais, Modified Nicolais and Pukanszky were used as comparison tools for the numerical model. The mechanical properties estimated for 0%, 10% and 30% RHP-Epoxy composites using the numerical and analytical models are in general agreement with each other. Using the analytical models, it was calculated that an increase in volume percentage of RHP to 30% led to continual reduction in elastic Young’s modulus and ultimate tensile strength of the composite. The numerical RVE models also predicted a similar trend between filler volume percentage and material properties. Overall, the results of this study suggest that RHP can be used to reduce the composite raw material costs by replacing the more expensive polymer content with agricultural waste products with limited compromise to the composite’s mechanical properties.
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Eriksson, Sirkka-Liisa, and Heikki Orelma. "On Hodge-de Rham systems in hyperbolic Clifford analysis." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825535.

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Skinner, N. A. "Development of a Reactive Hydraulic Modulator (RHM)." In Marine Renewable & Offshore Wind Energy. RINA, 2010. http://dx.doi.org/10.3940/rina.mre.2010.11.

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DE FABRITIIS, CHIARA. "ANALYTICAL AND GEOMETRICAL FEATURES OF DE RHAM AND DOLBEAULT'S COHOMOLOGIES." In Proceedings of the Tenth General Meeting. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704276_0006.

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Bonello, Philip, and Pham Minh Hai. "Computational Studies of the Unbalance Response of a Whole Aero-Engine Model With Squeeze-Film Bearings." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59687.

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The computation of the unbalance vibration response of aero-engine assemblies fitted with nonlinear bearings requires the retention of a very large number of modes for reliable results. This renders most previously proposed nonlinear solvers unsuitable for this application. This paper presents three methods for the efficient solution of the problem. The first method is the recently developed impulsive receptance method (IRM). The second method is a reformulation of the Newmark-Beta method. In addition to these two time-domain methods, a whole-engine receptance harmonic balance method (RHBM) is introduced that allows, for the first time, the frequency domain calculation of the periodic vibration response of a real engine. All three methods use modal data calculated from a one-off analysis of the linear part of the engine at zero speed. Simulations on a realistically-sized representative twin-spool engine model with squeeze-film damper bearings provide evidence that the popular Newmark-Beta method can be unreliable for large order nonlinear systems. The excellent correlation between the IRM and RHBM results demonstrates the efficacy of these two complementary tools in the computational analysis of realistic whole-engine models.
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Reports on the topic "RHPM"

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Chou, P. Criticality Safety Evaluations on the Use of 200-gram Pu Mass Limit for RHWM Waste Storage Operations. Office of Scientific and Technical Information (OSTI), December 2011. http://dx.doi.org/10.2172/1034516.

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Brosh, Arieh, Gordon Carstens, Kristen Johnson, Ariel Shabtay, Joshuah Miron, Yoav Aharoni, Luis Tedeschi, and Ilan Halachmi. Enhancing Sustainability of Cattle Production Systems through Discovery of Biomarkers for Feed Efficiency. United States Department of Agriculture, July 2011. http://dx.doi.org/10.32747/2011.7592644.bard.

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Feed inputs represent the largest variable cost of producing meat and milk from ruminant animals. Thus, strategies that improve the efficiency of feed utilization are needed to improve the global competitiveness of Israeli and U.S. cattle industries, and mitigate their environmental impact through reductions in nutrient excretions and greenhouse gas emissions. Implementation of innovative technologies that will enhance genetic merit for feed efficiency is arguably one of the most cost-effective strategies to meet future demands for animal-protein foods in an environmentally sustainable manner. While considerable genetic variation in feed efficiency exist within cattle populations, the expense of measuring individual-animal feed intake has precluded implementation of selection programs that target this trait. Residual feed intake (RFI) is a trait that quantifies between-animal variation in feed intake beyond that expected to meet energy requirements for maintenance and production, with efficient animals being those that eat less than expected for a given size and level of production. There remains a critical need to understand the biological drivers for genetic variation in RFI to facilitate development of effective selection programs in the future. Therefore, the aim of this project was to determine the biological basis for phenotypic variation in RFI of growing and lactating cattle, and discover metabolic biomarkers of RFI for early and more cost-effective selection of cattle for feed efficiency. Objectives were to: (1) Characterize the phenotypic relationships between RFI and production traits (growth or lactation), (2) Quantify inter-animal variation in residual HP, (3) Determine if divergent RFIphenotypes differ in HP, residual HP, recovered energy and digestibility, and (4) Determine if divergent RFI phenotypes differ in physical activity, feeding behavior traits, serum hormones and metabolites and hepatic mitochondrial traits. The major research findings from this project to date include: In lactating dairy cattle, substantial phenotypic variation in RFI was demonstrated as cows classified as having low RMEI consumed 17% less MEI than high-RMEI cows despite having similar body size and lactation productivity. Further, between-animal variation in RMEI was found to moderately associated with differences in RHP demonstrating that maintenance energy requirements contribute to observed differences in RFI. Quantifying energetic efficiency of dairy cows using RHP revealed that substantial changes occur as week of lactation advances—thus it will be critical to measure RMEI at a standardized stage of lactation. Finally, to determine RMEI in lactating dairy cows, individual DMI and production data should be collected for a minimum of 6 wk. We demonstrated that a favorably association exists between RFI in growing heifers and efficiency of forage utilization in pregnant cows. Therefore, results indicate that female progeny from parents selected for low RFI during postweaning development will also be efficient as mature females, which has positive implications for both dairy and beef cattle industries. Results from the beef cattle studies further extend our knowledge regarding the biological drivers of phenotypic variation in RFI of growing animals, and demonstrate that significant differences in feeding behavioral patterns, digestibility and heart rate exist between animals with divergent RFI. Feeding behavior traits may be an effective biomarker trait for RFI in beef and dairy cattle. There are differences in mitochondrial acceptor control and respiratory control ratios between calves with divergent RFI suggesting that variation in mitochondrial metabolism may be visible at the genome level. Multiple genes associated with mitochondrial energy processes are altered by RFI phenotype and some of these genes are associated with mitochondrial energy expenditure and major cellular pathways involved in regulation of immune responses and energy metabolism.
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Carpita, Nicholas C., Ruth Ben-Arie, and Amnon Lers. Pectin Cross-Linking Dynamics and Wall Softening during Fruit Ripening. United States Department of Agriculture, July 2002. http://dx.doi.org/10.32747/2002.7585197.bard.

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Our study was designed to elucidate the chemical determinants of pectin cross-linking in developing fruits of apple and peach and to evaluate the role of breakage cross-linkages in swelling, softening, and cell separation during the ripening. Peaches cell walls soften and swell considerably during the ripening, whereas apples fruit cells maintain wall firmness but cells separate during late stages of ripening. We used a "double-reduction" technique to show that levels of non-methyl esters of polyuronic acid molecules were constant during the development and ripening and decreased only in overripe fruit. In peach, methyl and non-methyl esters increased during the development and decreased markedly during the ripening. Non-methyl ester linkages in both fruit decreased accompanied fruit softening. The identity of the second component of the linkage and its definitive role in the fruit softening remain elusive. In preliminary examination of isolated apples cell walls, we found that phenolic compounds accumulate early in wall development but decrease markedly during ripening. Quantitative texture analysis was used to correlate with changes to wall chemistry from the fresh-picked ripe stage to the stage during storage when the cell separation occurs. Cell wall composition is similar in all cultivars, with arabinose as the principal neutral sugar. Extensive de-branching of these highly branched arabinans pre-stages softening and cell-cell separation during over-ripening of apple. The longer 5-arabinans remain attached to the major pectic polymer rhamnogalacturonan I (RG I) backbone. The degree of RG I branching, as judged from the ratios of 2-Rha:2,4-Rha, also decreases, specially after an extensive arabinan de-branching. Loss of the 4-Rham linkages correlated strongly with the softening of the fruit. Loss of the monomer or polymer linked to the RG I produce directly or indirectly the softening of the fruit. This result will help to understand the fruit softening and to have better control of the textural changes in fruit during the ripening and especially during the storage. 'Wooliness', an undesirable mealy texture that is induced during chilling of some peach cultivars, greatly reduces the fruit storage possibilities. In order to examine the hypothesis that the basis for this disorder is related to abnormality in the cell wall softening process we have carried out a comparative analysis using the resistant cultivar, Sunsnow, and a sensitive one, Hermosa. We investigated the activity of several pectin- and glycan-modifying enzymes and the expression of their genes during ripening, chilling, and subsequent shelf-life. The changes in carbohydrate status and in methyl vs. non-methyl uronate ester levels in the walls of these cultivars were examined as well to provide a basis for comparison of the relevant gene expression that may impact appearance of the wooly character. The activities of the specific polygalacturonase (PGase) and a CMC-cellulase activities are significantly elevated in walls of peaches that have become wooly. Cellulase activities correlated well with increased level of the transcript, but differential expression of PGase did not correspond with the observed pattern of mRNA accumulation. When expression of ethylene biosynthesis related genes was followed no significant differences in ACC synthase gene expression was observed in the wooly fruit while the normal activation of the ACC oxidase was partially repressed in the Hermosa wooly fruits. Normal ripening-related loss of the uronic acid-rich polymers was stalled in the wooly Hermosa inconsistent with the observed elevation in a specific PGase activity but consistent with PG gene expression. In general, analysis of the level of total esterification, degree of methyl esterification and level of non-methyl esters did not reveal any major alterations between the different fruit varieties or between normal and abnormal ripening. Some decrease in the level of uronic acids methyl esterification was observed for both Hermosa and Sunsnow undergoing ripening following storage at low temperature but not in fruits ripening after harvest. Our results support a role for imbalanced cell wall degradation as a basis for the chilling disorder. While these results do not support a role for the imbalance between PG and pectin methyl esterase (PME) activities as the basis for the disorder they suggest a possible role for imbalance between cellulose and other cell wall polymer degradation during the softening process.
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