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1

van Dijk, Aalt D. J., and Jaap Molenaar. "Floral pathway integrator gene expression mediates gradual transmission of environmental and endogenous cues to flowering time." PeerJ 5 (April 19, 2017): e3197. http://dx.doi.org/10.7717/peerj.3197.

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The appropriate timing of flowering is crucial for the reproductive success of plants. Hence, intricate genetic networks integrate various environmental and endogenous cues such as temperature or hormonal statues. These signals integrate into a network of floral pathway integrator genes. At a quantitative level, it is currently unclear how the impact of genetic variation in signaling pathways on flowering time is mediated by floral pathway integrator genes. Here, using datasets available from literature, we connect Arabidopsis thaliana flowering time in genetic backgrounds varying in upstream
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Araújo, Jussara de Loiola, and Petrina Rúbria Nogueira Avelar. "Modelagem Matemática e o Desenvolvimento do Pensamento Integral." Bolema: Boletim de Educação Matemática 36, no. 72 (2022): 239–61. http://dx.doi.org/10.1590/1980-4415v36n72a11.

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Resumo Inspiradas por um projeto de modelagem matemática e pelas discussões teóricas que subsidiam os conceitos de pensamento numérico, pensamento geométrico e pensamento algébrico, nosso objetivo, neste artigo, é propor e caracterizar uma primeira versão de um constructo teórico denominado pensamento integral . O projeto de modelagem foi realizado por estudantes do 6º ano do Ensino Fundamental e um de seus propósitos era calcular a área superficial da lama que cobriu uma região do município de Brumadinho, em Minas Gerais, Brasil, após o rompimento da barragem de rejeitos de minério de ferro.
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3

SOLECKA, Katarzyna. "MODELLING TOOLS TO INTEGRATE PUBLIC TRANSPORTATION." Scientific Journal of Silesian University of Technology. Series Transport 92 (September 1, 2016): 129–39. http://dx.doi.org/10.20858/sjsutst.2016.92.13.

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4

Karpenko, Oksana Oleksandrivna, Olena Mykhailivna Palyvoda, and Nataliia Mykolaivna Bondar. "MODELLING THE INTEGRAL PERFORMANCE OF TRANSPORT AND LOGISTICS CLUSTERS." SCIENTIFIC BULLETIN OF POLISSIA 2, no. 1(13) (2018): 155–60. http://dx.doi.org/10.25140/2410-9576-2018-2-1(13)-155-160.

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5

Henderson-Sellers, A. "Can we integrate climatic modelling and assessment?" Environmental Modeling & Assessment 1, no. 1-2 (1996): 59–70. http://dx.doi.org/10.1007/bf01874847.

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6

Clarke, Richard, Tet Chuan Lee, Pavel Sumets, John Cater, and David Long. "OS2-4 Modelling Endothelial Layer Redistribution(OS2: Integrated Nano-Biomechanics)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2015.8 (2015): 76. http://dx.doi.org/10.1299/jsmeapbio.2015.8.76.

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7

Mateus-Nieves, Enrique, and Wilfaver Hernández Montañez. "Modelling Improper Integrals, a Case Study." Acta Scientiae 24, no. 5 (2022): 353–76. http://dx.doi.org/10.17648/acta.scientiae.6741.

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8

Tvrdoň, J. "Reflection of globalization and integration processes." Agricultural Economics (Zemědělská ekonomika) 53, No. 2 (2008): 69–73. http://dx.doi.org/10.17221/1424-agricecon.

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The paper deals with the modelling of globalization and integration processes which fundamentally influence enterprise functioning, subject and business forms in both the internal and external trade. Final output is the result of internationally coordinated production in many sectors. The impact of this process is that costs of inputs are minimized and intermediate products are made in different countries. As capital becomes more mobile and technology facilitates international communication, national borders become more permeable to economic activity. Economic reality that is the aim of this m
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9

Bienaymé, O. "Integrals of motion for non-axisymmetric potentials." Astronomy & Astrophysics 627 (July 2019): A123. http://dx.doi.org/10.1051/0004-6361/201935573.

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Context. The modelling of stationary galactic stellar populations can be performed using distribution functions. Aims. This paper aims to write explicit integrals of motion and distribution functions. Methods. We propose an analytic formulation of the integrals of motion with an explicit dependence on potential. This formulation applies to potentials with rotational symmetry or triaxial symmetry. It is exact for Stäckel potentials and approximate for other potentials. Results. Modelling a stationary stellar population using these integrals of motion allows the force field to be found with sati
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10

Umavezi, Joshua Uzezi, and Bowale Odukale. "API Development and Modelling: Streamlining Financial Technology Integration for Seamless Digital Transactions." International Journal of Research Publication and Reviews 6, no. 1 (2025): 1556–73. https://doi.org/10.55248/gengpi.6.0125.0328.

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11

Yan, Bolin. "Semiconormed possibility integrals for application oriented modelling." Fuzzy Sets and Systems 57, no. 2 (1993): 239–48. http://dx.doi.org/10.1016/0165-0114(93)90164-d.

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12

Yan, Bolin. "Seminormed possibility integrals for application oriented modelling." Fuzzy Sets and Systems 61, no. 2 (1994): 189–98. http://dx.doi.org/10.1016/0165-0114(94)90233-x.

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13

Luiten, Gijsbertus T., Frits P. Tolman, and Martin A. Fischer. "Project-modelling in AEC to integrate design and construction." Computers in Industry 35, no. 1 (1998): 13–29. http://dx.doi.org/10.1016/s0166-3615(97)00081-x.

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14

Carbonari, L., F. Galli, and L. Tazza. "Team dell'accesso vascolare: modelli organizzativi." Giornale di Clinica Nefrologica e Dialisi 24, no. 1 (2018): 2–8. http://dx.doi.org/10.33393/gcnd.2012.1105.

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Il nefrologo, che si confronta con tutti i problemi inerenti all'insufficienza renale, è anche da sempre principale gestore della terapia emodialitica. Per tale motivo tocca al nefrologo, in prima istanza, occuparsi dell'accesso vascolare disponendone l'allestimento, la sorveglianza e la manutenzione a garanzia della possibilità di effettuare il trattamento sostitutivo. Rispetto a quanto avviene in altri paesi, in Italia l'attività dell'accesso non è ad oggi standardizzata né strutturata; ciascun centro dialisi si organizza in funzione delle capacità dei nefrologi ivi operanti e delle collabor
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15

Oduyebo, O. F., M. N. Ono, and S. O. Eteje. "Practical Local Geoid Modelling of Benin City, Nigeria from Gravimetric Observations Using the Modified Stokes Integral." International Journal of Advanced Engineering, Management and Science (IJAEMS) 5, no. 12 (2019): 608–17. https://doi.org/10.22161/ijaems.512.1.

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The geometric heights obtained from GNSS observations cannot be used for engineering works as they are not reduced to the geoid. This study presents practical local geoid modelling from gravimetric observations using the modified Stokes integral for engineering applications in Benin City. A total of 52 points were observed with GNSS receivers and a gravimeter to respectively obtain their positions and absolute gravity values. The theoretical gravity values of the points were computed on the Clarke 1880 ellipsoid to obtain their local gravity anomalies. The modified Stokes integral was applied
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BROWN, RAY, and LEON O. CHUA. "DYNAMICAL INTEGRATION." International Journal of Bifurcation and Chaos 03, no. 01 (1993): 217–22. http://dx.doi.org/10.1142/s0218127493000179.

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In this letter we show how to use a new form of integration, called dynamical integration, that utilizes the dynamics of a system defined by an ODE to construct a map that is in effect a one-step integrator. This method contrasts sharply with classical numerical methods that utilize polynomial or rational function approximations to construct integrators. The advantages of this integrator is that it uses only one step while preserving important dynamical properties of the solution of the ODE: First, if the ODE is conservative, then the one-step integrator is measure preserving. This is signific
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17

Mazat, Jean-Pierre, Jonathan Fromentin, Margit Heiske, Christine Nazaret, and Stéphane Ransac. "Virtual mitochondrion: towards an integrated model of oxidative phosphorylation complexes and beyond." Biochemical Society Transactions 38, no. 5 (2010): 1215–19. http://dx.doi.org/10.1042/bst0381215.

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The modelling of OXPHOS (oxidative phosphorylation) in order to integrate all kinetic and thermodynamic aspects of chemiosmotic theory has a long history. We briefly review this history and show how new ways of modelling are required to integrate a local model of the individual respiratory complexes into a global model of OXPHOS and, beyond that, into a reliable overall model of central metabolism.
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18

El Bedewy, Shereen, Zsolt Lavicza, Ben Haas, and Diego Lieban. "A STEAM Practice Approach to Integrate Architecture, Culture and History to Facilitate Mathematical Problem-Solving." Education Sciences 12, no. 1 (2021): 9. http://dx.doi.org/10.3390/educsci12010009.

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In this paper we propose STEAM practices that would foster mathematics learning through modelling architecture while connecting to culture and history. The architectural modelling process is applied by the teachers as participants of these practices from different countries allowing a broad cultural and historical connection to mathematics education. The modelling is implemented in GeoGebra platform as it is an open-source platform to allow teachers to model on a mathematics basis. The architectural modelling process does not provide participants with steps to follow but rather allows them to
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19

Chattoe-Brown, Edmund. "Using Agent Based Modelling to Integrate Data on Attitude Change." Sociological Research Online 19, no. 1 (2014): 159–74. http://dx.doi.org/10.5153/sro.3315.

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This article has two goals. Firstly, it shows how a relatively novel technique (Agent Based Modelling, hereafter ABM) can integrate different data types that are often used only in separate strands of research (interviews, experiments and surveys). It does this by comparing a well-known ABM of attitude dynamics with an alternative model using data from surveys and experiments. Secondly, the article explains ABM methodology and why it is important to the distinctiveness of ABM as a research method. In particular, the ramifications of differing approaches to ABM calibration and validation are di
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20

Rodríguez, H., R. Ceres, L. Calderón, and J. L. Pons. "Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectiva." Boletín de la Sociedad Española de Cerámica y Vidrio 43, no. 3 (2004): 698–705. http://dx.doi.org/10.3989/cyv.2004.v43.i3.479.

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21

Essang, Nse Peter. "Simulation and Modelling of Pipeline Corrosion and Integrity Management in Oil and Gas Industry." International Journal of Trend in Scientific Research and Development Volume-3, Issue-2 (2019): 458–61. http://dx.doi.org/10.31142/ijtsrd21411.

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22

Dudek, Jacek, Weronika Mikołajewska, Zbigniew Mikołajewski, Sławomir Ochalik, Marcin Preiss, and Piotr Wójcik. "Charakterystyka i zintegrowane (statyczne i dynamiczne) modelowanie złóż gazu ziemnego Kościan i Brońsko." Przegląd Geologiczny 72, no. 11 (2024): 576–83. https://doi.org/10.7306/2024.36.

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23

Ciampa, Francesca, Giorgio Croatto, Massimo Rossetti, et al. "Architectural technology responds to the environmental crisis: participatory design in an emergency context / La tecnologia dell’architettura risponde alla crisi ambientale: la progettazione partecipata in ambito emergenziale." Valori e Valutazioni 30 (August 2022): 119–34. http://dx.doi.org/10.48264/vvsiev-20223008.

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Within the framework of the research and innovation strategy RIS3 “Sustainable Living” (POR-FSE, funded by the Veneto Region), for the improvement of the resilience and adaptation capacity of the Veneto territory to environmental crises and emergencies, the subject of the contribution returns the results of the participatory experimentation of the project H.E.L.P. Veneto ‘ High-efficiency Emergency Living Prototypes Veneto - Sustainable adaptive residences for temporary stay in environmental emergencies. The research concerns the design of a minimum flexible emergency living module, replicable
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24

Jeong, WoonSeong, Jong Bum Kim, Mark J. Clayton, Jeff S. Haberl, and Wei Yan. "A framework to integrate object-oriented physical modelling with building information modelling for building thermal simulation." Journal of Building Performance Simulation 9, no. 1 (2015): 50–69. http://dx.doi.org/10.1080/19401493.2014.993709.

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25

Oko-Odion, Courage. "An Integration of Time Series Analysis into Quantitative Risk Modelling Frameworks for Enhanced Risk Management." International Journal of Research Publication and Reviews 6, no. 6 (2025): 5085–99. https://doi.org/10.55248/gengpi.6.0125.0649.

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26

Fridman, Alexander Jakovlevich, and Vugar Garib ogli Kurbanov. "Information Technology to Integrate Spatial Data into the Situational Modelling System." SPIIRAS Proceedings 4, no. 47 (2016): 163. http://dx.doi.org/10.15622/sp.47.9.

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27

Newhouse, John J. "Strategic plan modelling by hospital senior administration to integrate diversity management." Health Services Management Research 23, no. 4 (2010): 160–65. http://dx.doi.org/10.1258/hsmr.2010.010003.

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28

Kochetkov, Vladimir V., Artem I. Melnikov, and Nikita M. Kochetkov. "Measurement of pulse current during high voltage tests using Rogowski coil with non-inverting integrator." Vestnik of Samara State Technical University. Technical Sciences Series 32, no. 2 (2024): 119–28. http://dx.doi.org/10.14498/tech.2024.2.7.

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The work is devoted to the development and modelling of the system of pulse current measurement during high-voltage tests and experiments. The proposed measurement system is based on the application of Rogowski coil with non-inverting integrator. The results of numerical modelling of the developed current measurement system are compared with the results of application of a low-inductance shunt resistor, Rogowski coil with passive RC-integrator and Rogowski coil with inverting active integrator in similar measurement systems. Various standard pulse currents including steep edge pulse (1/20 µs),
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29

Wang, Huange, Joao Paulo, Willem Kruijer, et al. "Genotype–phenotype modeling considering intermediate level of biological variation: a case study involving sensory traits, metabolites and QTLs in ripe tomatoes." Molecular BioSystems 11, no. 11 (2015): 3101–10. http://dx.doi.org/10.1039/c5mb00477b.

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30

Sfetcu, Nicolae. "Blockchain Design and Modelling." IT & C 2, no. 3 (2023): 11–16. https://doi.org/10.58679/IT22164.

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Ontology engineering, along with semantic Web technologies, allow the semantic development and modeling of the operational flow required for blockchain design. The semantic Web, in accordance with W3C, provides a common framework that allows data to be shared and reused across application, enterprise, and community boundaries, and can be seen as an integrator for various content, applications and information systems. The most widely used blockchain modelling system, by abstract representation, description and definition of structure, processes, information and resources, is the enterprises mod
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Milev, Aleksandar, and Svetlana Vasileva. "MODELLING OF CENTRALIZED TWO-PHASE LOCKING WITH INTEGRATED MECHANISM OF TIMESTAMPS BY THE “WAIT – DIE” METHOD." Journal scientific and applied research 4, no. 1 (2013): 66–73. http://dx.doi.org/10.46687/jsar.v4i1.82.

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This paper presents an algorithm for two-phase locking (2PL) in which deadlocks of distributed transactions for distributed database management systems (DDBMS) are avoided. The method of timestamps is chosen for solving deadlocks and the centralized 2PL algorithm is implemented in DDBMS. The „wait - die” strategy of timestamps mechanism for deadlocks avoiding is presented in this paper. The simulation results of modeling “wait-die” algorithm are given by using GPSS World Personal Version for two and three elements length of distributed transaction.
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Tran, B. T., and Q. t. Nguyen. "How to develop modelling competence for Vietnamese students." Journal of Physics: Conference Series 2727, no. 1 (2024): 012027. http://dx.doi.org/10.1088/1742-6596/2727/1/012027.

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Abstract Developing modeling competence is an educational objective in many countries such as “SEP 2: Developing and Using Models” in Next Generation Science Standards (NGSS). In Vietnam, the new physics-education curriculum has clearly defined the key learning outcomes, including modeling-competence elements as well. Experiencing modelling cycle is an effective way to develop modelling competence for students. Our recent work studies which tool is suitable for students and how to integrate this tool in modelling activities. This paper presents the use of Coach 7 modelling software to investig
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Rampf, Cornelius, Florian List, and Oliver Hahn. "BullFrog: multi-step perturbation theory as a time integrator for cosmological simulations." Journal of Cosmology and Astroparticle Physics 2025, no. 02 (2025): 020. https://doi.org/10.1088/1475-7516/2025/02/020.

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Abstract Modelling the cosmic large-scale structure can be done through numerical N-body simulations or by using perturbation theory. Here, we present an N-body approach that effectively implements a multi-step forward model based on Lagrangian Perturbation Theory (LPT) in a ΛCDM Universe. This is achieved by introducing the second-order accurate BullFrog integrator, which automatically performs 2LPT time steps to second order without requiring the explicit computation of 2LPT displacements. Importantly, we show that BullFrog trajectories rapidly converge to the exact solution as the number of
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Bowen, P. A., G. J. Erwin, and G. K. Le Roux. "Die integrering van prys-/kosteberaming en konstruksiebeplanning - die gerekenariseerde generering van konstruksiebedrywighede." Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 16, no. 2 (1997): 65–73. http://dx.doi.org/10.4102/satnt.v16i2.666.

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The fact that traditional price/cost models are unrelated to the construction process renders them largely unsuited to the provision of meaningful price/cost advice. The nature and lengthiness of the construction planning process has precluded its incorporation into price/cost modelling during the pre-tender phase of the traditional building procurement process. The nub of the modelling problem has been how to integrate the complex process of construction planning into the pre-tender price/cost modelling process. In this paper the authors propose the synthesis of artificial intelligence techni
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Raspotnig, Christian, and Andreas L. Opdahl. "Improving Security and Safety Modelling with Failure Sequence Diagrams." International Journal of Secure Software Engineering 3, no. 1 (2012): 20–36. http://dx.doi.org/10.4018/jsse.2012010102.

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While security assessments of information systems are being increasingly performed with support of security modelling, safety assessments are still undertaken with traditional techniques such as Failure Mode and Effect Analysis (FMEA). As system modelling is becoming an increasingly important part of developing more safety critical systems, the safety field can benefit from security techniques that integrate system modelling and security aspects. This paper adapts an existing security modelling technique, Misuse Sequence Diagrams, to support failure analysis. The resulting technique, called Fa
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36

Sari Dewi, Dian Retno, Joana Debora, and Martinus Edy Sianto. "Dealing with dissatisfaction in mathematical modelling to integrate QFD and Kano’s model." IOP Conference Series: Materials Science and Engineering 277 (December 2017): 012009. http://dx.doi.org/10.1088/1757-899x/277/1/012009.

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37

ONISAWA, Takehisa. "Performance Shaping Factors modelling using error possibility and Fuzzy integrals." Japanese journal of ergonomics 22, no. 2 (1986): 81–89. http://dx.doi.org/10.5100/jje.22.81.

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38

Bergamaschi, Mara, Giada Carola Castellini, Federico Lega, Elena Maggioni, and Federica Violi. "Il DM77 nell'Azienda USL-IRCCS di Reggio-Emilia: tra passato, contingenze e progettualità future." MECOSAN, no. 129 (February 2025): 157–73. https://doi.org/10.3280/mesa2024-129oa18726.

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L'articolo analizza lo stato di attuazione del DM 77/2022 nell'AUSL-IRCCS di Reggio Emilia, esaminando la riorganizzazione dei servizi sanitari territoriali attualmente in corso. Vengono esplorate le sfide e le soluzioni adottate in un territorio già orientato verso modelli integrati come Distretti e Case della Salute. Tra le azioni implementate dall'Azienda si evidenzia l'attivazione di setting di cura dedicati alla medicina di iniziativa, come Centrali Operative Territoriali e Ospedali della Comunità, la formazione del personale medico e sanitario, e il potenziamento de
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Ait-Lamallam, Sara, Imane Sebari, Reda Yaagoubi, and Omar Doukari. "IFCInfra4OM: An Ontology to Integrate Operation and Maintenance Information in Highway Information Modelling." ISPRS International Journal of Geo-Information 10, no. 5 (2021): 305. http://dx.doi.org/10.3390/ijgi10050305.

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Building information modelling (BIM) is increasingly appropriate for infrastructure projects, and in particular for transport infrastructure. It is a digital solution that integrates the practices of the construction industry in facility management during the whole life cycle. This integration is possible through a single tool, which is the 3D digital model. Nevertheless, BIM standards, such as industry foundation classes, are still in the pipeline for infrastructure management. These standards do not fully meet the requirements of operation and maintenance of transport infrastructure. This pa
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Touboul, Jonathan, and Romain Brette. "Spiking Dynamics of Bidimensional Integrate-and-Fire Neurons." SIAM Journal on Applied Dynamical Systems 8, no. 4 (2009): 1462–506. http://dx.doi.org/10.1137/080742762.

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Shorter, R., R. J. Lawn, and G. L. Hammer. "Improving Genotypic Adaptation in Crops – a Role for Breeders, Physiologists and Modellers." Experimental Agriculture 27, no. 2 (1991): 155–75. http://dx.doi.org/10.1017/s0014479700018810.

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SummaryApproaches using breeding, physiology and modelling for evaluating adaptation of plant genotypes to target environments are discussed and methods of characterizing the target environments outlined. Traditional approaches, and their limitations, to evaluation of genotypic adaptation using statistical and classificatory techniques with a phenotypic model are discussed. It is suggested that a simple biological model is the most appropriate framework in which to integrate physiology and modelling with plant breeding. Methods by which physiology and modelling may contribute to assessment of
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42

Leimkuhler, B., and G. W. Patrick. "A symplectic integrator for riemannian manifolds." Journal of Nonlinear Science 6, no. 4 (1996): 367–84. http://dx.doi.org/10.1007/bf02433475.

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43

Pátkai, Béla. "Analogy Based Methodology for Complex Adaptive Production Network Modelling." Journal of Advanced Computational Intelligence and Intelligent Informatics 9, no. 4 (2005): 399–408. http://dx.doi.org/10.20965/jaciii.2005.p0399.

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The investigation (i.e. modelling, simulation, understanding and control) of complex adaptive systems is a problematic issue mainly due to the immaturity of systems scientific modelling paradigms. The apparent analogies between complex adaptive systems and production networks provide the opportunity to formulate the latter one in terms of the first, and to integrate the knowledge and the way of thinking of both fields. Through the application of the method of analogy and agent-based modelling and the development of a methodology a disciplined way of thinking is presented that involves the form
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44

Shao, Yuehjen E., George C. Runger, Jorge Haddock, and W. A. Wallace. "Adaptive controllers to integrate SPC and EPC." Communications in Statistics - Simulation and Computation 28, no. 1 (1999): 13–36. http://dx.doi.org/10.1080/03610919908813533.

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45

Dr. M. Anita, M. Rajani, and Neerudi Jyothika. "Applications of Triple Integrals." International Journal of Scientific Research in Science and Technology 12, no. 3 (2025): 01–07. https://doi.org/10.32628/ijsrst251222711.

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This paper presents a comprehensive study of triple integrals, extending the conventional understanding of volumetric integration to encompass a broader class of functions and domains. We introduce a novel framework for defining and evaluating these integrals, particularly focusing on cases where the integrand or the region of integration exhibits discontinuities, singularities. Utilizing concepts from measure theory and functional analysis, we develop techniques for establishing the existence and uniqueness of total triple integrals under relaxed regularity conditions. A significant contribut
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Yang, Guichao, Jianyong Yao, Guigao Le, and Dawei Ma. "High precise tracking control for a chain of integrator systems with modelling uncertainties." Transactions of the Institute of Measurement and Control 39, no. 11 (2016): 1710–20. http://dx.doi.org/10.1177/0142331216644499.

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In this paper, adaptive compensation with a robust integral of the sign of the extended error (RISEE) feedback is developed for high precise tracking control of systems in the presence of simultaneous structured and unstructured uncertainties. To handle various uncertainties existing in the system in one controller, we propose an adaptive RISEE controller (ARISEE), in which an adaptive law based on the improved discontinuous projection method is synthesized to handle parametric uncertainties and the RISEE robust term to attenuate unmodelled disturbances. Moreover, the present controller does n
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47

Jimenez, Nicolas D., Stefan Mihalas, Richard Brown, Ernst Niebur, and Jonathan Rubin. "Locally Contractive Dynamics in Generalized Integrate-and-Fire Neurons." SIAM Journal on Applied Dynamical Systems 12, no. 3 (2013): 1474–514. http://dx.doi.org/10.1137/120900435.

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48

Chang, Yu-Chuan, and Jonq Juang. "Stable Synchrony in Globally Coupled Integrate-and-Fire Oscillators." SIAM Journal on Applied Dynamical Systems 7, no. 4 (2008): 1445–76. http://dx.doi.org/10.1137/070709220.

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Yang, Yuchen, Jun Zhou, and Xiaotong Chen. "Variance reduction in Monte Carlo for Integrals." Theoretical and Natural Science 53, no. 1 (2024): 203–15. http://dx.doi.org/10.54254/2753-8818/53/20240205.

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Abstract. Nowadays, the extensive use of Monte Carlo methods in various fields has promoted the scientific decision-making, improved the efficiency of social operation, and enabled better management of many uncertain factors in daily life. However, in some cases, traditional Monte Carlo methods doesn't work so well because of the excessive variance. This paper aims to explore a new numerical integration method called splitting method to minimize intrinsic variance in Monte Carlo simulations. Through this innovative method, we found that the variance was reduced significantly. Despite some osci
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50

Sioris, C. E., and W. F. J. Evans. "Modelling higher order radiation fields using iterated integrals of phase functions." Journal of Quantitative Spectroscopy and Radiative Transfer 72, no. 3 (2002): 227–36. http://dx.doi.org/10.1016/s0022-4073(01)00119-4.

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