Academic literature on the topic 'M-Integral'

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Journal articles on the topic "M-Integral"

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Haddad, Roudy El. "Repeated integration and explicit formula for the \(n\)-th integral of \(x^m(\ln x)^{m'}\)." Open Journal of Mathematical Sciences 6, no. 1 (June 10, 2022): 51–75. http://dx.doi.org/10.30538/oms2022.0178.

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Repeated integration is a major topic of integral calculus. In this article, we study repeated integration. In particular, we study repeated integrals and recurrent integrals. For each of these integrals, we develop reduction formulae for both the definite as well as indefinite form. These reduction formulae express these repetitive integrals in terms of single integrals. We also derive a generalization of the fundamental theorem of calculus that expresses a definite integral in terms of an indefinite integral for repeated and recurrent integrals. From the recurrent integral formulae, we derive some partition identities. Then we provide an explicit formula for the \(n\)-th integral of \(x^m(\ln x)^{m'}\) in terms of a shifted multiple harmonic star sum. Additionally, we use this integral to derive new expressions for the harmonic sum and repeated harmonic sum.
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TANIMURA, SHOGO. "PATH INTEGRALS ON RIEMANNIAN MANIFOLDS WITH SYMMETRY AND INDUCED GAUGE STRUCTURE." International Journal of Modern Physics A 16, no. 08 (March 30, 2001): 1443–61. http://dx.doi.org/10.1142/s0217751x01003159.

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We formulate path integrals on any Riemannian manifold which admits the action of a compact Lie group by isometric transformations. We consider a path integral on a Riemannian manifold M on which a Lie group G acts isometrically. Then we show that the path integral on M is reduced to a family of path integrals on a quotient space Q=M/G and that the reduced path integrals are completely classified by irreducible unitary representations of G. It is not necessary to assume that the action of G on M is either free or transitive. Hence our formulation is applicable to a wide class of manifolds, which includes inhomogeneous spaces, and it covers all the inequivalent quantizations. To describe the path integral on inhomogeneous space, stratification geometry, which is a generalization of the concept of principal fiber bundle, is necessarily introduced. Using it we show that the path integral is expressed as a product of three factors; the rotational energy amplitude, the vibrational energy amplitude, and the holonomy factor. When a singular point arises in Q, we determine the boundary condition of the path integral kernel for a path which runs through the singularity.
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Zuo, Hong, and Yu-hong Feng. "A new method for M-integral experimental evaluation." International Journal of Damage Mechanics 22, no. 2 (March 27, 2012): 238–46. http://dx.doi.org/10.1177/1056789512442428.

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In this article, the experimental measurement method of M-integral is investigated. Through the detailed analysis to the nondestructive evaluation method of J- and M-integrals suggested by King and Herrmann, it is found that the specimen geometry which they selected and the corresponding clamping mode in their test exists a conflict with the stress distribution assumption on the integral contour. The formulas they proposed cannot represent the selected specimen geometry and the related integral contours. To avoid this conflict, a new experimental measurement method and a simper specimen style is proposed in this study. According to the method, the M-integral is nondestructive evaluated experimentally through the new specimen and the new clamping mode.
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Trainin, J. "Integrating expressions of the form and others." Mathematical Gazette 94, no. 530 (July 2010): 216–23. http://dx.doi.org/10.1017/s0025557200006471.

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In an earlier communication to the Gazette [1], the authors in effect showed, in a somewhat complicated manner, how to evaluate the integral One can show in a simpler manner, however, how to evaluate, for integers n and m, a more general integral of the form where n ≥ m, provided that if m = 1, then n is odd.In addition, the final section to this article shows how to extend the procedure to include integrals for which m does not even have to be an integer, and also how to integrate where such an integral converges.
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Silva, Bruno Adriano Rodrigues da. "A Concepção Empresarial da Educação Integral e(m) Tempo Integral." Educação & Realidade 43, no. 4 (October 8, 2018): 1613–32. http://dx.doi.org/10.1590/2175-623676399.

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RESUMO O objetivo deste artigo é analisar teoricamente as formulações do Banco Mundial, as prescrições do Centro de Estudos e Pesquisa em Educação, Cultura e Ação Comunitária e as normatizações fixadas no programa Mais Educação sobre o tema da Educação integral e(m) Tempo Integral. Tal análise se faz pertinente em função da legislação educacional brasileira vigente sobre o tema, em especial, a meta 6 do atual Plano Nacional de Educação. Para realizar o estudo utilizou-se pesquisa bibliográfica e análise de documentos que problematizam o tema. Concluímos que existe uma sintonia entre as formulações do Banco Mundial e as prescrições do Cenpec, sendo o programa Mais Educação uma síntese empresarial dessa relação.
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González-Morales, M. J., R. Mahillo-Isla, and C. Dehesa-Martínez. "A new integral identity involving the elliptic integral E(m)." Applied Mathematics and Computation 221 (September 2013): 568–70. http://dx.doi.org/10.1016/j.amc.2013.06.081.

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Qureshi, Mohammad Idris, and Showkat Ahmad Dar. "Generalizations and applications of Srinivasa Ramanujan’s integral associated with infinite Fourier sine transforms in terms of Meijer’s G-function." Analysis 41, no. 3 (May 19, 2021): 145–53. http://dx.doi.org/10.1515/anly-2018-0067.

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Abstract In this paper, we obtain analytical solutions of an unsolved integral 𝐑 S ⁢ ( m , n ) {\mathbf{R}_{S}(m,n)} of Srinivasa Ramanujan [S. Ramanujan, Some definite integrals connected with Gauss’s sums, Mess. Math. 44 1915, 75–86] with suitable convergence conditions in terms of Meijer’s G-function of one variable, by using Mellin–Barnes type contour integral representations of the sine function, Laplace transform method and some algebraic properties of Pochhammer’s symbol. Also, we have given some generalizations of Ramanujan’s integral 𝐑 S ⁢ ( m , n ) {\mathbf{R}_{S}(m,n)} in the form of integrals ℧ S * ⁢ ( υ , b , c , λ , y ) {\mho_{S}^{*}(\upsilon,b,c,\lambda,y)} , Ξ S ⁢ ( υ , b , c , λ , y ) {\Xi_{S}(\upsilon,b,c,\lambda,y)} , ∇ S ⁡ ( υ , b , c , λ , y ) {\nabla_{S}(\upsilon,b,c,\lambda,y)} and ℧ S ⁢ ( υ , b , λ , y ) {\mho_{S}(\upsilon,b,\lambda,y)} with suitable convergence conditions and solved them in terms of Meijer’s G-functions. Moreover, as applications of Ramanujan’s integral 𝐑 S ⁢ ( m , n ) {\mathbf{R}_{S}(m,n)} , the three new infinite summation formulas associated with Meijer’s G-function are obtained.
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Reynolds, Robert, and Allan Stauffer. "Double Integral Involving Logarithmic and Quotient Function with Powers Expressed in terms of the Lerch Function." European Journal of Pure and Applied Mathematics 14, no. 4 (November 10, 2021): 1337–49. http://dx.doi.org/10.29020/nybg.ejpam.v14i4.4085.

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In this work the authors use their contour integral method to derive the double integral given by $\int_{0}^{\infty}\int_{0}^{\infty}\frac{x^{m-1} y^{m+\frac{q}{2}-1} \log ^k(a x y)}{\left(x^q+1\right)^2 \left(y^q+1\right)^2}dxdy$ in terms of the Lerch function. This integral formula is then used to derive closed solutions in terms of fundamental constants and special functions. There are some useful results relating double integrals of certain kinds of functions to ordinary integrals for which we know no general reference. Thus a table of integral pairs is given for interested readers. All the results in this work are new.
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Heinzer, William J., James A. Huckaba, and Ira J. Papick. "M-Canonical ideals in integral domains." Communications in Algebra 26, no. 9 (January 1998): 3021–43. http://dx.doi.org/10.1080/00927879808826325.

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Glasser, M. L. "Another Definite Integral (M. L. Glasser)." SIAM Review 27, no. 2 (June 1985): 254. http://dx.doi.org/10.1137/1027064.

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Dissertations / Theses on the topic "M-Integral"

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Tupayachi, Serrano Erika Pamela. "C. M. T. I. Centro Médico de Terapia Integral." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2019. http://hdl.handle.net/10757/625783.

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La presente investigación propone, con su planteamiento crítico, una tipología arquitectónica con énfasis en la luz natural para un centro de terapia no convencional en el distrito de Pachacámac, Lima-Perú. En esa línea, se procura mostrar cómo por medio del diseño arquitectónico y el trabajo con la luz natural se podría llegar a complementar, enriquecer y potenciar, con un enfoque preventivo, las experiencias de los pacientes que llevan a cabo tratamientos médicos orientados desde las terapias tradicionales, de enfoque reactivo. La tesis consta de seis capítulos. El primero introduce los presupuestos básicos para comprender la problemática que sirve de base a nuestros objetivos, así como los alcances y las limitaciones de la presente investigación. El segundo capítulo desarrolla el marco teórico-referencial y abunda sobre las diferencias entre la medicina tradicional, centrada en la enfermedad, y la medicina integral, centrada en la persona, aproximándose críticamente a sus ventajas y desventajas mediante el empleo de términos no arquitectónicos. El capítulo tercero describe el marco conceptual arquitectónico teniendo a la vista algunos proyectos referenciales. En los capítulos cuarto y quinto se trata sobre las características del lugar y el perfil del usuario: ambos capítulos aportan elementos críticos para elaborar, en el capítulo sexto, el programa arquitectónico. En suma, se plantea un Centro Médico de Terapia Integral ubicado en Pachacámac, que cuente con todos los beneficios de diseño tipológico analizado y descrito y que, por consiguiente, incorpore como elemento fundamental, ineludible, el aspecto emocional-sensitivo de la persona humana en la implementación del tratamiento clínico.
This research proposes, with its critical approach, an architectural typology with an emphasis on natural light for an unconventional therapy center in the district of Pachacámac, Lima-Peru. In this line, we try to show how, through architectural design and work with natural light, we could complement, enrich and enhance, with a preventive approach, the experiences of patients who carry out medical treatments guided by traditional therapies, with a reactive approach. In this line, this thesis consists of six chapters. The first introduces the basic assumptions to understand the problem that serves as the basis for our objectives, as well as the scope and limitations of this research. The second chapter develops the theoretical-referential framework and abounds on the differences between traditional medicine, focused on the disease, and holistic medicine, focused on the person, critically approaching its advantages and disadvantages through the use of non-architectural terms. The third chapter describes the architectural conceptual framework with some referential projects in view. The fourth and fifth chapters deal with the characteristics of the place and the profile of the user: both chapters provide critical elements to elaborate, in the sixth chapter, the architectural program with seven functional modules for a total area constructed of 5,536 m2. In short, a Medical Center of Integral Therapy is located in Pachacámac, which has all the benefits of typological design analyzed and described and, therefore, incorporates as a fundamental element, inescapable, the emotional-sensitive aspect of the human person in the implementation of clinical treatment.
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Abramson, Daniel. "On an integral related to Vinogradov's integral /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Feitoza, Veronica DAmasceno de Souza. "Letramentos cr?ticos, ensino de l?ngua inglesa e forma??o integral no curso t?cnico em agropecu?ria integrado ao ensino m?dio." Universidade Federal Rural do Rio de Janeiro, 2017. https://tede.ufrrj.br/jspui/handle/jspui/2449.

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IFPA - Campus Castanhal
Technical Professional Education projects in Brazil have always been focused on meeting the interests of economic market and aimed at workers as a compensatory training for those who would not have access to higher education, without taking into account their needs as subjects and citizens. Decree 5,154 / 04, while more recent legislation aimed at this stage of Basic Education, despite also being influenced by economic interests, advances in the sense of allowing Technical Professional Education to be offered in the modality Integrated to High School under the articulation of the axes Work, Science, Technology and Culture (BRASIL, 2007). Thus, it is intended that the pedagogical practices of the curricular components for this modality of education surpass the purely technical knowledge for a practice with sights to the broad formation of the subjects. The Curriculum Guidelines for Higher Education (CGHE) in the section on Foreign Languages suggest that the teaching practices of this curricular component should be based on Critical Literacies Theories in order that such practices become the means for the development of a sense of citizenship, creative, critical and open mind (BRAZIL, 2006), in short, knowledge that equips subjects to deal with the current context of constant change and diverse subjects. In this way, this research has sought to investigate in what ways, when they are based on theories of Critical Literacies, the teaching practices in English Language classes - EL - of the Technical Course in Farming Integrated to High School can better contribute to the integral formation of the students of the IFPA ? Castanhal Campus, as advocated by the pertinent legislation. The data collected comes from participant observation and audio recording of EL classes during the execution of a didactic sequence elaborated by me as a researcher teacher, based on these theoretical principles and using authentic multimodal texts. Theoretical studies and research have shown that pedagogical practices guided by Critical Literacies principles can contribute to an education beyond linguistic instrumentation and job market preparation by encouraging students to read themselves and the world critically
Os projetos de Educa??o Profissional T?cnica no Brasil sempre estiveram voltados para atender aos interesses do mercado econ?mico e destinados aos trabalhadores como uma forma??o compensat?ria para aqueles que n?o teriam acesso ao ensino superior, sem levar em conta suas necessidades enquanto sujeitos e cidad?os. O Decreto 5.154/04, enquanto legisla??o mais recente voltada para essa etapa da educa??o B?sica, apesar de tamb?m sofrer influ?ncias de interesses econ?micos, avan?a no sentido de permitir que a Educa??o Profissional T?cnica seja ofertada na modalidade Integrada ao Ensino M?dio sob a articula??o dos eixos Trabalho, Ci?ncia, Tecnologia e Cultura (BRASIL, 2007). Dessa forma, objetiva-se que as pr?ticas pedag?gicas dos componentes curriculares para essa modalidade de ensino superem os conhecimentos puramente t?cnicos para uma pr?tica com vistas ? forma??o ampla dos sujeitos. As Orienta??es Curriculares para o Ensino M?dio ? OCEM ?, na se??o destinada ?s L?nguas Estrangeiras sugerem que as pr?ticas de ensino desse componente curricular sejam embasadas nas Teorias dos Letramentos Cr?ticos com a finalidade de que tais pr?ticas tornemse meios para o desenvolvimento de senso de cidadania, mente aberta, criativa e cr?tica (BRASIL, 2006), enfim, conhecimentos que equipem os sujeitos para lidarem com o contexto atual de mudan?as constantes e sujeitos diversificados. Dessa forma, esta pesquisa buscou investigar de que modos, ao serem balizadas nas teorias dos Letramentos Cr?ticos, as pr?ticas docentes em aulas de l?ngua inglesa ? LI ? do Curso T?cnico em Agropecu?ria Integrado ao Ensino M?dio podem melhor contribuir para a forma??o integral dos alunos do IFPA ? Campus Castanhal, como preconizam as legisla??es pertinentes. Os dados coletados prov?m de observa??o participante e grava??o de ?udio das aulas de LI durante a execu??o de uma sequ?ncia did?tica elaborada por mim, enquanto professora pesquisadora, com base nesses princ?pios te?ricos e utilizando textos multimodais aut?nticos. Os estudos te?ricos e a investiga??o demonstraram que pr?ticas pedag?gicas direcionadas por princ?pios dos Letramentos Cr?ticos podem contribuir com uma forma??o para al?m da instrumenta??o lingu?stica e a prepara??o para o mercado de trabalho por estimularem os alunos a lerem a si mesmos e ao mundo criticamente
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Tomazic, Daniel [Verfasser], Stefan M. [Akademischer Betreuer] Kast, and Roland [Gutachter] Winter. "Optimizing free energy functionals in integral equation theories / Daniel Tomazic. Betreuer: Stefan M. Kast. Gutachter: Roland Winter." Dortmund : Universitätsbibliothek Dortmund, 2016. http://d-nb.info/1112327142/34.

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SILVA, G. "ANÁLISE DAS PRÁTICAS DE CUIDADO INTEGRAL DIRIGIDAS ÀS PESSOAS COM SOFRIMENTO MENTAL: TRILHANDO UM NOVO CAMINHAR." Universidade Federal do Espírito Santo, 2013. http://repositorio.ufes.br/handle/10/5509.

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As Unidades de Saúde da Família (USF) constituem um espaço privilegiado para o cuidado integral em saúde, entendido como produto das relações entre pessoas, uma ação com efeitos e repercussões de interações positivas entre usuários, profissionais e instituições, que são traduzidas em atitudes como tratamento digno e respeitoso, acolhimento e vínculo. O cuidado em saúde não é apenas um nível de atenção do sistema de saúde ou um procedimento técnico, mas uma ação integral que tem significados e sentidos voltados para compreensão da saúde como direito de ser. Com esse entendimento, realizamos esta pesquisa com o objetivo de analisar as práticas de cuidado integral em saúde, efetivadas nas USF da Região de Maruípe, no município de Vitória ES. Demos ênfase às ações voltadas às pessoas com sofrimento mental. Utilizamos aqui o termo sofrimento mental para abarcar o conjunto de males que acometem as pessoas, incluindo as angústias, os lutos, os efeitos da violência cotidiana, as ansiedades e o sofrimento social, além da esquizofrenia e a depressão. Esta pesquisa possui cunho exploratório, descritivo e é de abordagem qualitativa. A coleta de dados foi realizada em três etapas. Foram realizadas seis sessões de grupo focal com objetivo de investigar a presença ou não de práticas de cuidado integral em saúde, voltadas às pessoas com sofrimento mental. Duas ações sistemáticas foram localizadas e observadas durante dois meses. Concomitante à observação, realizaram-se as entrevistas semiestruturadas com os profissionais responsáveis por essas práticas e, a partir da análise dos dados, ressaltamos os limites para o seu desenvolvimento. Um desses é a desvalorização dessas práticas por parte dos profissionais. Enfatizamos a importância da rede de atenção à saúde mental para a construção do cuidado integral, através dos dispositivos do acolhimento, da escuta e da responsabilização.
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Lombardo, Simona [Verfasser], Marek [Gutachter] Kowalski, Thomas [Gutachter] Lohse, and Martin M. [Gutachter] Roth. "A flux calibration device for Integral Field Spectrographs / Simona Lombardo ; Gutachter: Marek Kowalski, Thomas Lohse, Martin M. Roth." Berlin : Humboldt-Universität zu Berlin, 2017. http://d-nb.info/1192374576/34.

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Bekeraitė, Simona Verfasser], Lutz [Akademischer Betreuer] [Wisotzki, Martin M. [Akademischer Betreuer] Roth, and Jakob [Akademischer Betreuer] Walcher. "Distribution functions of rotating galaxies : an Integral Field Spectroscopy perspective / Simona Bekeraitė ; Lutz Wisotzki, Martin M. Roth, Jakob Walcher." Potsdam : Universität Potsdam, 2017. http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-420950.

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Bekeraitė, Simona [Verfasser], Lutz [Akademischer Betreuer] Wisotzki, Martin M. [Akademischer Betreuer] Roth, and Jakob [Akademischer Betreuer] Walcher. "Distribution functions of rotating galaxies : an Integral Field Spectroscopy perspective / Simona Bekeraitė ; Lutz Wisotzki, Martin M. Roth, Jakob Walcher." Potsdam : Universität Potsdam, 2017. http://d-nb.info/1219149802/34.

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Mrugalla, Florian [Verfasser], Stefan M. [Akademischer Betreuer] Kast, and Holger [Gutachter] Gohlke. "Prediction and optimisation of protein-ligand affinities by integral equation theory / Florian Mrugalla ; Gutachter: Holger Gohlke ; Betreuer: Stefan M. Kast." Dortmund : Universitätsbibliothek Dortmund, 2017. http://d-nb.info/1138445797/34.

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Tielker, Nicolas [Verfasser], Stefan M. [Akademischer Betreuer] Kast, and Paul [Gutachter] Czodrowski. "Physicochemical property prediction for small molecules using integral equation-based solvation models / Nicolas Tielker ; Gutachter: Paul Czodrowski ; Betreuer: Stefan M. Kast." Dortmund : Universitätsbibliothek Dortmund, 2021. http://d-nb.info/1238349706/34.

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Books on the topic "M-Integral"

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Coelho, Lígia Martha Coimbra da Costa. and Cavaliere Ana Maria Villela, eds. Educação brasileira e(m) tempo integral. Petrópolis: Editora Vozes, 2002.

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Shapiro, Michael, 1948 Oct. 13- and Sommen F, eds. Integral theorems for functions and differential forms in C[superscript m]. Boca Raton, Fla: Chapman & Hall/CRC, 2002.

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M, McCoy Barry, Kashiwara Masaki 1947-, and Miwa T, eds. MathPhys odyssey 2001: Integrable models and beyond : in honor of Barry M. McCoy. Boston: Birkhäuser, 2002.

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1862-1929, Andoyer H., ed. Cours de M. Hermite rédigé en 1882. 4th ed. Paris: A. Hermann, 1992.

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Chudnovsky, A. Translational and extensional energy release rates (the J- and M-integrals) for a crack layer in thermoelasticity. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, 1985.

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Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existence and uniqueness of such solutions. The spectral criteria for boundedness of solutions of operator equations and, as a consequence, sufficient spectral features boundedness of solutions of differential and differential-difference equations in Banach space. The results obtained for operator equations with operators and work of Volterra operators, allowed to extend to some systems of partial differential equations known spectral stability criteria for solutions of A. M. Lyapunov and also to generalize theorems on the exponential characteristic. The results of the monograph may be useful in the study of linear mechanical and electrical systems, in problems of diffraction of electromagnetic waves, theory of automatic control, etc. It is intended for researchers, graduate students functional analysis and its applications to operator and differential equations.
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Shapiro, Michael, Reynaldo Rocha-Chavez, and Frank Sommen. Integral Theorems for Functions and Differential Forms in C(m). Taylor & Francis Group, 2001.

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Shapiro, Michael, Reynaldo Rocha-Chavez, and Frank Sommen. Integral Theorems for Functions and Differential Forms in C(m). Taylor & Francis Group, 2001.

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Shapiro, Michael, Reynaldo Rocha-Chavez, and Frank Sommen. Integral Theorems for Functions and Differential Forms in C(m) (Research Notes in Mathematics Series). Chapman & Hall/CRC, 2001.

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Nelson, Paul. Transport Theory : Invariant Imbedding, and Integral Equations: Proceedings in Honor of G. M. Wing's 65th Birthday. Taylor & Francis Group, 2017.

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Book chapters on the topic "M-Integral"

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Anastassiou, George A. "M-Fractional Integral Type Inequalities." In Generalized Fractional Calculus, 277–82. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56962-4_13.

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Sansen, Pascal, Philippe Dufrénoy, and Dieter Weichert. "Thermoplastic M Integral and Path Domain Dependence." In Mechanics of Material Forces, 241–49. Boston, MA: Springer US, 2005. http://dx.doi.org/10.1007/0-387-26261-x_24.

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Uysal, Gümrah, and Hemen Dutta. "Pointwise Convergence Analysis for Nonlinear Double m-Singular Integral Operators." In Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 831–54. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15242-0_21.

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Höhle, U. "M-valued Sets and Sheaves over Integral Commutative CL-Monoids." In Applications of Category Theory to Fuzzy Subsets, 33–72. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2616-8_3.

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Liu, Hsiang-Chuan, Shang-Ling Ou, Hsien-Chang Tsai, Yih-Chang Ou, and Yen-Kuei Yu. "A Novel Choquet Integral Composition Forecasting Model Based on M-Density." In Intelligent Information and Database Systems, 167–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28487-8_17.

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Motola, Yael, and Leslie Banks-Sills. "M-Integral for Piezoelectric Ceramics Using the Exact Boundary Conditions on Crack Surfaces." In Experimental Analysis of Nano and Engineering Materials and Structures, 569–70. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-6239-1_282.

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Zheng, Zhiyong. "Lattice-Based Cryptography." In Financial Mathematics and Fintech, 253–351. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0920-7_7.

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AbstractLet $$\mathbb {R}^n$$ R n be an n-dimensional Euclidean space and $$x=(x_1, x_2, \ldots , x_n)\in \mathbb {R}^n$$ x = ( x 1 , x 2 , … , x n ) ∈ R n be an n-dimensional vector, x can be a row vector or a column vector, depending on the situation. If $$x\in \mathbb {Z}^n$$ x ∈ Z n , then x is called a integral point. $$\mathbb {R}^{m\times n}$$ R m × n is all $$m\times n$$ m × n -dimensional matrices on $$\mathbb {R}$$ R . $$x=(x_1, x_2, \ldots , x_n)\in \mathbb {R}^n$$ x = ( x 1 , x 2 , … , x n ) ∈ R n , $$y=(y_1, y_2, \ldots , y_n)\in \mathbb {R}^n$$ y = ( y 1 , y 2 , … , y n ) ∈ R n , define the inner product of x and y as.
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Gega, Paola, Mingya Liu, and Lucas Bechberger. "Numerical Concepts in Context." In Language, Cognition, and Mind, 93–119. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69823-2_5.

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AbstractNumerical concepts are an integral part of everyday conversation and communication. Expressions relating to numbers in natural language can have precise or imprecise interpretations. While the precise interpretation most prominently appears in mathematical contexts, the imprecise interpretation seems to arise when numbers (as quantities) are applied to real world contexts (e.g., the rope is 50 m long). Earlier literature shows that the (im)precise interpretation can depend on different factors, e.g., the kind of approximator a numeral appears with (precise vs. imprecise, e.g., exactly vs. roughly) or the kind of numeral itself (round vs. non-round, e.g., 50 vs. 47). We report on a corpus-linguistic study and a rating experiment of English numerical expressions. The results confirm the effects of both factors and additionally an effect of the kind of unit (discrete vs. continuous, e.g., people vs. meters). This shows the contextual variability in the interpretation of numerical concepts in natural language.
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Lucks, Kai, and Reinhard Meckl. "Integrales M&A-Management." In Internationale Mergers & Acquisitions, 437–515. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46896-8_6.

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Hu, Chuan-Gan, and Dan-Ping Zhang. "The Stability of the Riemann Boundary Value Problem for Vector Valued M-Analytic Functions." In Partial Differential and Integral Equations, 193–205. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4613-3276-3_13.

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Conference papers on the topic "M-Integral"

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Ekinci, Alper, and M. Emin Özdemir. "Generalized integral inequalities for m–convex functions." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945877.

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Carta, Viorel Laurenţiu, and Ioan Zaharie. "The anyon's knotted paths and M. Kontsevich integral." In PROCEEDINGS OF THE PHYSICS CONFERENCE TIM - 11. AIP, 2012. http://dx.doi.org/10.1063/1.4748063.

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Gommerstadt, B. Y. "The J and M Integrals for a Cylindrical Cavity in a Time-Harmonic Wave Field." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-65353.

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The invariant integrals are being widely used in the study of defects and fracture mechanics, mostly in elastostatics. However, the properties and the interpretation of these integrals in elastodynamics, especially in the case of time-harmonic excitation, have remained unexplored. Their study has a variety of engineering and geophysical implications, in particular, for the further development of non-destructive evaluation techniques. This contribution is focused on the derivation of the time average J integral for a cylindrical inhomogeneity and M integral for a cylindrical cavity placed in a monochromatic plane elastic wave of arbitrary wavelength. It is shown in the context of antiplane linear elasticity, that the J integral or the material force acting on the inhomogeneity resembles the radiation pressure force exerted on a dielectric cylinder by the normally incident electromagnetic wave. Based on the existing solution of this electrodynamic problem and the corresponding acoustic problem, the J integral is expressed as a function of the nondimensional wave number in the form of the partial wave expansion of the scattering theory. Employing the same classical method as for the J integral, the closed-form solution for the time average M integral for a traction-free cavity is also obtained as a function of the nondimensional wave number. The M integral, i.e., the expansion moment per unit length on an infinitely long circular cavity, is represented in terms of the scattering phase shifts as in the case of the J integral. Rather different expressions for the cavity are also derived for both integrals, which can be used more conveniently for numerical calculations, and these calculations are carried out for J and M integrals in a wide spectrum of frequencies. Asymptotic approximations of both integrals for low and high frequencies are presented. The long wavelength approximation, including the monopole and dipole contributions, has been provided for the J integral in the form of simple analytical expression. The value of M integral in the vanishing frequency limit is also presented. In the opposite short wavelength limit, the corresponding asymptotic values are derived for both integrals. These solutions which are valid for the empty cavity are extended to the case of inviscid fluid-filled cavity. The obtained results can be used in the area of non-destructive evaluation for the flaw characterization by ultrasonic scattering methods. The derived frequency dependence of the J and M integral can be related to the measurable far-field scattering amplitudes. This relationship is relevant to the inverse-scattering approach, which can be applied to the characterization of materials in an attempt to infer geometrical characteristics of flow structures.
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Akdemir, Ahmet Ocak, and M. Emin Özdemir. "New integral inequalities for co-ordinated m–convex functions." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945901.

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Tao, Huiyu, Cheng Gao, Jinyong Xu, Yan Tang, Dayong Cai, and Ranran Huang. "Description of the M-integral in an elastic plastic material." In Seventh International Conference on Electronics and Information Engineering, edited by Xiyuan Chen. SPIE, 2017. http://dx.doi.org/10.1117/12.2265224.

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Content, Robert. "New design for integral field spectroscopy with 8-m telescopes." In Optical Telescopes of Today and Tomorrow, edited by Arne L. Ardeberg. SPIE, 1997. http://dx.doi.org/10.1117/12.269020.

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G. S., F., and A. I. "EDUCAÇÃO INTEGRAL OU(E)M TEMPO INTEGRAL E A EDUCAÇÃO TRANSFORMADORA DE PAULO FREIRE: POSSÍVEIS RELAÇÕES." In ANAIS DO II CONGRESSO INTERNACIONAL PAULO FREIRE: O LEGADO GLOBAL. Galoa, 2018. http://dx.doi.org/10.17648/paulofreire-2018-89516.

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Im, Seyoung, and Yongwoo Lee. "Two-State Conservation Integrals and Stress Singularities in Generic Wedges." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0624.

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Abstract The eigenvalues of Williams’ series expansion for generalized wedge problems, which include cracks, re-entrant corners, free edges, and cracks meeting with material interface, etc. are examined from the viewpoint of conservation laws like J-integral and M-integral. By use of the so-called two-state conservation laws or interaction energy, originally proposed by Eshelby and later treated by Chen and Shield, discussed is that the complementary pairs of eigenvalues exist in the J-integral sense and/or in the M-integral sense when these integrals are conserved. Similar results are shown to hold for the eigenvalues of three dimensional wedges.
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Jain, Shilpi, Praveen Agarwal, İ. Onur Kıymaz, and Ayṣegül Çetinkaya. "Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions." In 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020469.

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Chen, R. P., D. J. Li, Y. T. Kong, W. J. Cheng, and M. S. Tong. "A Nyström method for solving time-domain volume integral equations." In 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2015. http://dx.doi.org/10.1109/aps.2015.7305298.

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Reports on the topic "M-Integral"

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Nuttall, Albert H. Locating an Appropriate Saddlepoint for M-Dimensional Probability Integrals. Fort Belvoir, VA: Defense Technical Information Center, July 2002. http://dx.doi.org/10.21236/ada405450.

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Carter, T. R., C. E. Logan, J K Clark, H. A. J. Russell, E. H. Priebe, and S. Sun. A three-dimensional bedrock hydrostratigraphic model of southern Ontario. Natural Resources Canada/CMSS/Information Management, 2022. http://dx.doi.org/10.4095/331098.

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A hydrostratigraphic framework has been developed for southern Ontario consisting of 15 hydrostratigraphic units and 3 regional hydrochemical regimes. Using this framework, the 54 layer 3-D lithostratigraphic model has been converted into a 15 layer 3-D hydrostratigraphic model. Layers are expressed as either aquifer or aquitard based principally on hydrogeologic characteristics, in particular the permeability and the occurrence/absence of groundwater when intersected by a water well or petroleum well. Hydrostratigraphic aquifer units are sub-divided into up to three distinct hydrochemical regimes: brines (deep), brackish-saline sulphur water (intermediate), and fresh (shallow). The hydrostratigraphic unit assignment provides a standard nomenclature and definition for regional flow modelling of potable water and deeper fluids. Included in the model are: 1) 3-D hydrostratigraphic units, 2) 3-D hydrochemical fluid zones within aquifers, 3) 3-D representations of oil and natural gas reservoirs which form an integral part of the intermediate to deep groundwater regimes, 4) 3-D fluid level surfaces for deep Cambrian brines, for brines and fresh to sulphurous groundwater in the Guelph Aquifer, and the fresh to sulphurous groundwater of the Bass Islands Aquifer and Lucas-Dundee Aquifer, 5) inferred shallow karst, 6) base of fresh water, 7) Lockport Group TDS, and 8) the 3-D lithostratigraphy. The 3-D hydrostratigraphic model is derived from the lithostratigraphic layers of the published 3-D geological model. It is constructed using Leapfrog Works at 400 m grid scale and is distributed in a proprietary format with free viewer software as well as industry standard formats.
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Sergeyev, Mykola. Ukrainian National Idea in the Modern Ukrainian Media Space. Ivan Franko National University of Lviv, February 2022. http://dx.doi.org/10.30970/vjo.2022.51.11407.

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M. Sergeyev’s article “Ukrainian National Idea in the Modern Ukrainian Media Space” states that modern Ukrainian philosophical thought tries to get rid of the flaws and stereotypes of its one-sided orientation “to the East” and tries to establish a European orientation in the minds of Ukrainian citizens. The theoretical proof of the new worldview took place throughout the formation of the Ukrainian state from Little Russia to Ukraine and presents its actual struggle for independence. It is an integral concept that reflects the process of forming theories and views of prominent Ukrainian thinkers on the place and role of Ukrainians in the becoming and development of an independent Ukrainian state. As O. Zabuzhko emphasizes, “all Ukrainian philosophical, historical, sociological thought of the past and our centuries (including the diaspora) is permeated with the sacred idea of nationalism”. The author concludes that the logic of the historical development of the Ukrainian national idea reveals only one model of its socio-political future, which implies the need for Ukraine’s integration into the European and world community. This path requires the moral and political readiness of the entire Ukrainian society for its implementation and prevents the emergence of any other - alternative ideas. Solving this problem is complicated by the need to return to Ukraine the temporarily occupied territories of Crimea, Luhansk and Donetsk regions. Of course, this model will lead to significant political and economic tensions in society (the final severance of economic relations with Russia, the closure of non-competitive industries, the outflow of labor to the west). At the same time, the orientation of the Ukrainian national idea to the west will increase competition in all branches of production and will be a condition for further self-improvement of Ukrainian society.
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Levisohn, Sharon, Maricarmen Garcia, David Yogev, and Stanley Kleven. Targeted Molecular Typing of Pathogenic Avian Mycoplasmas. United States Department of Agriculture, January 2006. http://dx.doi.org/10.32747/2006.7695853.bard.

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Intraspecies identification (DNA "fingerprinting") of pathogenic avian mycoplasmas is a powerful tool for epidemiological studies and monitoring strain identity. However the only widely method available for Mycoplasma gallisepticum (MG) and M. synoviae (MS)wasrandom amplified polymorphic DNA (RAPD). This project aimed to develop alternative and supplementary typing methods that will overcome the major constraints of RAPD, such as the need for isolation of the organism in pure culture and the lack of reproducibility intrinsic in the method. Our strategy focussed on recognition of molecular markers enabling identification of MG and MS vaccine strains and, by extension, pathogenic potential of field isolates. Our first aim was to develop PCR-based systems which will allow amplification of specific targeted genes directly from clinical material. For this purpose we evaluated the degree of intraspecies heterogeneity in genes encoding variable surface antigens uniquely found in MG all of which are putative pathogenicity factors. Phylogenic analysis of targeted sequences of selected genes (pvpA, gapA, mgc2, and lp) was employed to determine the relationship among MG strains.. This method, designated gene targeted sequencing (GTS), was successfully employed to identify strains and to establish epidemiologically-linked strain clusters. Diagnostic PCR tests were designed and validated for each of the target genes, allowing amplification of specific nucleotide sequences from clinical samples. An mgc2-PCR-RFLP test was designed for rapid differential diagnosis of MG vaccine strains in Israel. Addressing other project goals, we used transposon mutagenesis and in vivo and in vitro models for pathogenicity to correlated specific changes in target genes with biological properties that may impact the course of infection. An innovative method for specific detection and typing of MS strains was based on the hemagglutinin-encoding gene vlhA, uniquely found in this species. In parallel, we evaluated the application of amplified fragment length polymorphism (AFLP) in avian mycoplasmas. AFLP is a highly discriminatory method that scans the entire genome using infrequent restriction site PCR. As a first step the method was found to be highly correlated with other DNA typing methods for MG species and strain differentiation. The method is highly reproducible and relatively rapid, although it is necessary to isolate the strain to be tested. Both AFLP and GTS are readily to amenable to computer-assisted analysis of similarity and construction of a data-base resource. The availability of improved and diverse tools will help realize the full potential of molecular typing of avian mycoplasmas as an integral and essential part of mycoplasma control programs.
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Rincón Romero, Mayerli Katherine. Valoración de enfermería para la persona en el contexto familiar basada en los patrones funcionales de salud de M. Gordon. Ediciones Universidad Cooperativa de Colombia, December 2022. http://dx.doi.org/10.16925/gcgp.63.

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La presente guía práctica brinda recomendaciones para orientar la fase inicial del proceso enfermero: la valoración, con una estructuración de la entrevista de enfermería a la persona en el contexto familiar. La valoración establece un proceso planificado y sistemático de recopilación de datos subjetivos y objetivos, con la aplicación de instrumentos validados (escalas, test, entre otros), que conduce posteriormente a la interpretación de la información del estado de salud del sujeto de cuidado para la toma de decisiones en la elaboración de planes de cuidados con enfoque hacia la respuesta humana integral y global ante una necesidad del sujeto de cuidado. La Valoración por Patrones Funcionales de Marjory Gordon aporta una serie de primacías al proceso: pueden ser manejadas independientemente del modelo enfermero que se sigue, se integran de forma apropiada al ámbito de la atención primaria de salud y permiten estructurar y ordenar los datos de la valoración, funcionan para cualquier sujeto de cuidado: individuo a lo largo del ciclo vital, familia o comunidad, en situaciones de salud o enfermedad, y facilitan el tránsito a la siguiente fase de diagnóstico enfermero al contrastar con el origen de la clasificación por dominios de la NANDA. El objetivo de esta guía radica en ofrecer a los estudiantes del programa de enfermería conocimientos de los procesos y las herramientas que pueden ser utilizadas para la valoración de enfermería, dirigido a la familia y a la persona, fundamental en el contexto de la atención primaria.
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DeVivo, Joseph C. Inventories 2.0: A plan for the next generation of NPS natural resource inventories. National Park Service, 2019. http://dx.doi.org/10.36967/2266646.

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This Inventory 2.0 plan identifies IMD’s planned role in each of the ten inventories, and lays out a framework for ensuring the inventories led by IMD result in scientifically credible information for parks resource management, planning, and operations; and also identifies the means by which studies to collect new inventory data will be identified, prioritized, and implemented. Highlights include: IMD plans to lead three of the ten inventories (Species, Vegetation Community Mapping, and Surficial Geology/Soils Mapping), and contribute to the others in partnership with other programs. For the three IMD-led inventories, IMD will develop (or work with the Geologic Resources Division to develop) peer-reviewed inventory science plans that will lay out inventory objectives; and methods for data management, analysis, and integration to ensure that credible and useful inventory data are provided to parks in a timely manner. IMD will phase in implementation of IMD-led inventories during the first five years of program implementation. This will allow IMD to focus near-term efforts on meeting needs identified by the greatest number of parks (Species) while conducting necessary scoping to further refine needs for Vegetation Community Mapping and Surficial Geology/Soils Mapping inventories. During the next two years, IMD inventory efforts will be focused on implementing the Species Inventory, beginning with foundational work in advance of field data collection efforts to be funded in 2020. Additional scoping to identify suitable methods and minimum product specifications for Vegetation Community and Surficial Geology/Soils Mapping will be conducted in 2019-2020. These two new inventories will be phased in based on findings from scoping and progress toward closing out existing (1.0) inventory efforts. All I&M parks will be eligible for IMD funding to support inventories (see Appendix A). Non-I&M parks established before 2000 may be eligible for studies and activities to collect new inventory data pending approval of the project by the IMD Leadership Team. Inventories 2.0 funding cannot be spent to collect new data in parks established in 2000 or later, that are not currently served by an I&M network. Existing data from other sources may still be synthesized and delivered to these parks, however. Inventories 2.0 funding will not be used to fund programs or initiatives already funded or implemented by other programs or agencies. We will endeavor to partner with these entities when possible and appropriate to meet inventory needs identified in this plan, and to ensure IMD-created inventory (and monitoring) data are available to support other programs. Data and other information products resulting from new IMD-funded inventory studies will be managed by IMD rather than third-party repositories. This does not preclude sharing data with third parties or use of third-party tools or data distribution systems. At a minimum IMD commits to make inventory data available to others via the NPS Data Store (https://irma.nps.gov/DataStore/) as well as data and/or map services. To the extent possible, IMD management of inventory data will use the data management infrastructure used for managing monitoring data. This includes a commitment to leverage data, tools, systems, and expertise where it already exists. Because of IMD’s explicit mandate to integrate I&M data with planning, wherever practicable, IMD commits to work with NPS Planning to ensure map and data services are integrated into NPS Atlas projects for each park or other planning tools as they are developed over time.
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Samach, Alon, Douglas Cook, and Jaime Kigel. Molecular mechanisms of plant reproductive adaptation to aridity gradients. United States Department of Agriculture, January 2008. http://dx.doi.org/10.32747/2008.7696513.bard.

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Annual plants have developed a range of different mechanisms to avoid flowering (exposure of reproductive organs to the environment) under adverse environmental conditions. Seasonal environmental events such as gradual changes in day length and temperature affect the timing of transition to flowering in many annual and perennial plants. Research in Arabidopsis and additional species suggest that some environmental signals converge on transcriptional regulation of common floral integrators such as FLOWERING LOCUS T (FT). Here we studied environmental induction of flowering in the model legume Medicago truncatula. Similarly to Arabidopsis, the transition to flowering in M. truncatula is hastened by long photoperiods and long periods of vernalization (4°C for 2-3 weeks). Ecotypes collected in Israel retain a vernalization response even though winter temperatures are way above 4°C. Here we show that this species is also highly responsive (flowers earlier) to mild ambient temperatures up to 19°C simulating winter conditions in its natural habitat. Physiological experiments allowed us to time the transition to flowering due to low temperatures, and to compare it to vernalization. We have made use of natural variation, and induced mutants to identify key genes involved in this process, and we provide here data suggesting that an FT gene in M.truncatula is transcriptionally regulated by different environmental cues. Flowering time was found to be correlated with MtFTA and MtFTB expression levels. Mutation in the MtFTA gene showed a late flowering phenotype, while over-expressing MtFTA in Arabidopsis complemented the ft- phenotype. We found that combination of 4°C and 12°C resulted in a synergistic increase in MtFTB expression, while combining 4°C and long photoperiods caused a synergistic increase in MtFTA expression. These results suggest that the two vernalization temperatures work through distinct mechanisms. The early flowering kalil mutant expressed higher levels of MtFTA and not MtFTB suggesting that the KALIL protein represses MtFTA specifically. The desert ecotype Sde Boker flowers earlier in response to short treatments of 8-12oc vernalization and expresses higher levels of MtFTA. This suggests a possible mechanism this desert ecotype developed to flower as fast as possible and finish its growth cycle before the dry period. MtFTA and FT expression are induced by common environmental cues in each species, and expression is repressed under short days. Replacing FT with the MtFTA gene (including regulatory elements) caused high MtFTA expression and early flowering under short days suggesting that the mechanism used to repress flowering under short days has diversified between the two species.The circadian regulated gene, GIGANTEA (GI) encodes a unique protein in Arabidopsis that is involved in flowering mechanism. In this research we characterized how the expression of the M.truncatula GI ortholog is regulated by light and temperature in comparison to its regulation in Arabidopsis. In Arabidopsis GI was found to be involved in temperature compensation to the clock. In addition, GI was found to be involved in mediating the effect of temperature on flowering time. We tested the influence of cold temperature on the MtGI gene in M.truncatula and found correlation between MtGI levels and extended periods of 12°C treatment. MtGI elevation that was found mostly after plants were removed from the cold influence preceded the induction of MtFT expression. This data suggests that MtGI might be involved in 12°C cold perception with respect to flowering in M.truncatula. GI seems to integrate diverse environmental inputs and translates them to the proper physiological and developmental outputs, acting through several different pathways. These research enabled to correlate between temperature and circadian clock in M.truncatula and achieved a better understanding of the flowering mechanism of this species.
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Strategic Opportunities for U.S. Semiconductor Manufacturing. Gaithersburg, MD: National Institute of Standards and Technology (U.S.), August 2022. http://dx.doi.org/10.6028/nist.chips.1000.

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Semiconductors are critical to our Nation’s economic growth, national security, and public health and safety. Revolutionary advances in microelectronics continue to drive innovations in communications, information technology, health care, military systems, transportation, energy, and infrastructure. The potential for microelectronics to create transformational change is growing exponentially as they become smaller, faster, and more sophisticated—delivering unprecedented performance. Next-generation systems, devices, and related technologies are critical to addressing society’s most urgent needs. The nation that leads in microelectronics research, development, and manufacturing will lead in defining and reaping the benefits from dynamic shifts in technology. The ability to cost-effectively manufacture complex next-generation microelectronics devices and integrate them in novel systems and packages is a growing challenge, compounded by ever-greater requirements for performance, functionality, and security. To strengthen the U.S. position in semiconductors, Congress authorized a set of programs known as the Creating Helpful Incentives to Produce Semiconductors for America Act (CHIPS Act) as part of the William M. (Mac) Thornberry National Defense Authorization Act (NDAA) for Fiscal Year 2021 (Pub. L. No. 116-283). These programs would help restore U.S. leadership in microelectronics manufacturing and ensure America’s supply of leading-edge products by providing incentives and encouraging investment to expand production capacity and grow the innovation ecosystem for microelectronics research and development (R&D). Leveraging decades of experience in next generation devices, systems, and related technologies, NIST has a specific role authorized under the CHIPS Act to undertake critical metrology R&D that will strengthen the domestic semiconductor industry.
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