Relevant bibliographies by topics / Engineering Calculus

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Engineering Calculus'

Author: Grafiati
Published: 4 June 2021
Last updated: 27 July 2025

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Journal articles on the topic "Engineering Calculus"

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Sikora, Ryszard, and Stanislaw Pawłowski. "Fractional derivatives and the laws of electrical engineering." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 4 (2018): 1384–91. http://dx.doi.org/10.1108/compel-08-2017-0347.

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Purpose This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories. Design/methodology/approach The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the correctness of applied notation. Findings Fractional calculus is sometimes applied correctly and sometimes erroneously in electrical engineering. Originality/value This paper provides guidelines regarding correct application of fractional calculus in description of electrical circuits’ phenomena. It can
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Savita, Sharma. "New Advancements in the Applications of Fractional Calculus in Science and Engineering." International Journal of Trend in Scientific Research and Development 1, no. 6 (2017): 471–76. https://doi.org/10.31142/ijtsrd3579.

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Fractional Calculus is a study of an extension of derivatives and integrals to non integer orders and also linking its origins with classical integral and di erential calculus. The interesting part of this subject is that fractional derivatives and integrals are not a local or point property or quantity. In some few years considerable interest in fractional calculus has been seen by the applications it finds in various areas of engineering, science, applied mathematics, finance and bio engineering as possibly it includes fractal phenomena too. This paper deals with the researchers of engineeri
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Kenyon, Catherine M., and Lisa C. Benson. "Assessing What We Value: Engineering Students’ Perceptions of Calculus Exams and Connections to their Future in Engineering." Journal of Research in Science, Mathematics and Technology Education 8, SI (2025): 403–26. https://doi.org/10.31756/jrsmte.4118si.

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Assessments of learning should showcase what knowledge is valued in a field; however, the purpose and value of assessments may differ. This research explores how first-year engineering (FYE) students perceive the purpose of assessments in their Calculus I course and how those perceptions are connected to their future in engineering. This mixed methods study involves qualitative data (survey and interviews) and quantitative data (surveys) with FYE students enrolled in a Calculus I course. Surveys were distributed to all students in the course while interview participants came from a homogenous
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Shamsuddin, Maisurah, Siti Balqis Mahlan, and Norazah Umar. "Students Achievement in Mathematics: The Relationship between Performance in Calculus I and Calculus II." Journal of Computing Research and Innovation 10, no. 1 (2025): 243–54. https://doi.org/10.24191/jcrinn.v10i1.458.

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Calculus is among the most important branches of mathematics that is widely used in various fields of science and engineering. It explores changes using basic ideas, including integration, differentiation and limitation. The goal of advanced calculus is to take the basic ideas of calculus to a deeper and more complex level. Basic and advanced calculus have a supportive relationship where learning increasingly difficult problems in advanced calculus requires a solid understanding of basic calculus concepts. Therefore, this study attempts to determine whether the assessment results of engineerin
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Zhao, Yan Chun. "Design and Application of Digital Filter Based on Calculus Computing Concept." Applied Mechanics and Materials 513-517 (February 2014): 3151–55. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.3151.

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Calculus has been widely applied in engineering fields. The development of Integer order calculus theory is more mature in the project which can obtain fractional calculus theory through the promotion of integration order. It extends the flexibility of calculation and achieves the engineering analysis of multi-degree of freedom. According to fractional calculus features and the characteristics of fractional calculus, this paper treats the frequency domain as the object of study and gives the fractional calculus definition of the frequency characteristics. It also designs the mathematical model
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Silva, Danillo Guimarães Cassiano da, Roberta Veloso Garcia, Estaner Claro Romão, and Juan Fernando Zapata Zapata. "Teaching methodologies in calculus for engineering: a quantitative analysis." Caderno Pedagógico 21, no. 13 (2024): e12282. https://doi.org/10.54033/cadpedv21n13-300.

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This research quantitatively analyzes worldwide university studies on teaching Differential and Integral Calculus, comparing them with the challenging Brazilian context, which historically faces high rates of failure. Following a Systematic Literature Review structure, 122 documents from different databases (Capes, Scopus, Web of Science, and Science Direct) were reviewed. The focus was placed on worldwide teaching methods for differential and integral calculus, with defined filters and inclusion/exclusion criteria for relevance. According to the results, there is a global rise in alternative
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Saad, Siti Mariam, Siti Nurleena Abu Mansor, Ahmad Rashidi Azudin, and Nurul Hamidah Mohd Hamdi. "Empowering Students’ Comprehension in Calculus with eCALculator." e-Jurnal Penyelidikan dan Inovasi 11, no. 1 (2024): 16–27. http://dx.doi.org/10.53840/ejpi.v11i1.174.

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Calculus is a fundamental subject in STEM (Science, Technology, Engineering, and Mathematics) study programs. Despite the introduction of basic calculus concepts as early as secondary school, many undergraduate students still encounter difficulties in comprehending and solving differentiation and integration problems. As calculus is fundamental to fields like science and engineering, possessing a solid mathematical and calculus foundation becomes essential for STEM students. Struggling to grasp these fundamental concepts not only impacts performance in calculus but also poses challenges when t
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Gao, Yuehong, Xin Zhang, and Hongwen Yang. "Network Calculus Theory and Application: A New Graduate Course for Engineering Students." Journal of Educational Research Progress 4, no. 1 (2024): 23–31. http://dx.doi.org/10.55375/joerp.2024.4.2.

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With the development of modern networks, the quality of service guarantee has become even more important than before. However, various new types of traffic and heterogeneous network architecture make it quite challenging to evaluate the quality of service, such as delay and reliability. Therefore, a novel analysis method is needed to solve this situation. Network calculus is a theory used to analyze the queueing problems in networks, which is the main content to be taught in this graduate course. Before network calculus theory is introduced, the classical queueing theory will be taught. Then,
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Bailey, Joseph D., Jessica Claridge, and Alexander Partner. "Investigating students’ perception of the importance of calculus: a cross-discipline comparison to inform module development." MSOR Connections 22, no. 1 (2024): 5–27. http://dx.doi.org/10.21100/msor.v22i1.1457.

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This study compares perceptions of calculus across disciplines in university education. As highlighted by Rasmussen et al. (2014) further work is needed to understand the “relationship between calculus and the client disciplines of engineering, physics, biology, and chemistry”, with calculus courses often designed from the perspective of Mathematicians. Here, we aim to give insight of when it is appropriate to group such disciplines together for taught calculus modules in Higher Education (HE).This short study assesses how students perceive the importance of calculus across disciplines includi
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Tenreiro Machado, J. A., Manuel F. Silva, Ramiro S. Barbosa, et al. "Some Applications of Fractional Calculus in Engineering." Mathematical Problems in Engineering 2010 (2010): 1–34. http://dx.doi.org/10.1155/2010/639801.

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Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses FC in the study of system dynamics and control. In this perspective, this paper investigates the use of FC in the fields of co
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Dissertations / Theses on the topic "Engineering Calculus"

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Shen, Xin. "Applications of Fractional Calculus In Chemical Engineering." Thesis, Université d'Ottawa / University of Ottawa, 2018. http://hdl.handle.net/10393/37577.

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Fractional calculus, which is a generalization of classical calculus, has been the subject of numerous applications in physics and engineering during the last decade. In this thesis, fractional calculus has been implemented for chemical engineering applications, namely in process control and in the modeling mass transfer in adsorption. With respect to process control, some researchers have proposed fractional PIλDμ controllers based on fractional calculus to replace classical PI and PID controllers. The closed-loop control of different benchmark dynamic systems using optimally-tuned fraction
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Li, Fenglin. "Desiree - a Refinement Calculus for Requirements Engineering." Doctoral thesis, Università degli studi di Trento, 2016. https://hdl.handle.net/11572/368013.

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The requirements elicited from stakeholders suffer from various afflictions, including informality, incompleteness, ambiguity, vagueness, inconsistencies, and more. It is the task of requirements engineering (RE) processes to derive from these an eligible (formal, complete enough, unambiguous, consistent, measurable, satisfiable, modifiable and traceable) requirements specification that truly captures stakeholder needs. We propose Desiree, a refinement calculus for systematically transforming stakeholder requirements into an eligible specification. The core of the calculus is a rich set of req
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Li, Fenglin. "Desiree - a Refinement Calculus for Requirements Engineering." Doctoral thesis, University of Trento, 2016. http://eprints-phd.biblio.unitn.it/1642/1/Thesis.Feng-Lin.Li.pdf.

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The requirements elicited from stakeholders suffer from various afflictions, including informality, incompleteness, ambiguity, vagueness, inconsistencies, and more. It is the task of requirements engineering (RE) processes to derive from these an eligible (formal, complete enough, unambiguous, consistent, measurable, satisfiable, modifiable and traceable) requirements specification that truly captures stakeholder needs. We propose Desiree, a refinement calculus for systematically transforming stakeholder requirements into an eligible specification. The core of the calculus is a rich set of req
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Baisley, Amie. "The Influences of Calculus I on Engineering Student Persistence." DigitalCommons@USU, 2019. https://digitalcommons.usu.edu/etd/7600.

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About half of the students that are declared engineering majors end up leaving engineering within their first two years at the university. This happens following the required math and science courses that these students must take before getting into the technical engineering coursework. There are two systems that students must be a part of at the university to feel comfortable and have the desire to continue on in their degree. These include the academic system and the social system. The experiences engineering students have during their first required math course, Calculus I, is likely not pr
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Devapatla, Srikanth B. "Design and evaluation of a corrective measure for students' deficiencies in basic engineering calculus." Ohio : Ohio University, 1988. http://www.ohiolink.edu/etd/view.cgi?ohiou1182783509.

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Ana, Cavalcanti. "A refinement calculus for Z." Thesis, University of Oxford, 1997. http://ora.ox.ac.uk/objects/uuid:ee9c7207-01f6-4bac-8ed1-c354a2551f9c.

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The lack of a method for developing programs from Z specifications is a difficulty that is now widely recognised. As a contribution to solving this problem, we present ZRC, a refinement calculus based on Morgan's work that incorporates the Z notation and follows its style and conventions. Other refinement techniques have been proposed for Z; ZRC builds upon some of them, but distinguishes itself in that it is completely formalised. As several other refinement techniques, ZRC is formalised in terms of weakest preconditions. In order to define the semantics of its language, ZRC-L, we construct a
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Kathail, Vinod. "Optimal interpreters for lambda-calculus based functional languages." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/14040.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1990.<br>Includes bibliographical references (leaves 195-197).<br>by Vinod Kumar Kathail.<br>Ph.D.
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Rees, Jonathan A. "A security kernel based on the lambda-calculus." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/36956.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1995.<br>Vita.<br>Includes bibliographical references (p. 133-139).<br>by Jonathan Allen Rees.<br>Ph.D.
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Frye-Lucas, Sandra. "Factors associated with African American engineering student success in first year college calculus /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2003. http://uclibs.org/PID/11984.

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Glaum, Michael. "A function space calculus for identification and system analysis." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0028/NQ50173.pdf.

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Books on the topic "Engineering Calculus"

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Yahaya, Ahmad Shukri, Muhamad Nazri Murat, Aeizaal Azman Abdul Wahab, et al. Engineering Calculus. Edited by Fadzli Mohamed Nazri editor and Irvan Dahlan editor. Penerbit Universiti Sains Malaysia, 2017.

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Matthews, P. C. Vector calculus. Springer, 1998.

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Das, Shantanu. Functional Fractional Calculus. Springer-Verlag Berlin Heidelberg, 2011.

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Trim, Donald W. Calculus for engineers. 2nd ed. Prentice Hall, 2001.

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Johnston, Elgin H. Calculus for engineering and the sciences. HarperCollins College Publishers, 1996.

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Johnston, Elgin. Calculus for engineering and the sciences. HarperCollins College Publishers, 1996.

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C, Mathews Jerold, ed. Calculus for engineering and the sciences. Addison-Wesley, 1999.

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Harvey, Greenwald, and Larson Roland E, eds. Calculus applications in engineering and science. D. C. Heath, 1990.

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1942-, Gay Daniel, and Gambelin Jacques, eds. Structural modeling and calculus structural modeling and calculus: An introduction. ISTE USA, 2007.

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S, Murphy Ian, ed. Advanced calculus for engineering and science students. 2nd ed. Arklay, 1986.

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Book chapters on the topic "Engineering Calculus"

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Ida, Nathan. "Vector Calculus." In Engineering Electromagnetics. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3287-0_2.

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Lepik, Ülo, and Helle Hein. "Fractional Calculus." In Mathematical Engineering. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04295-4_8.

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Ida, Nathan. "Vector Calculus." In Engineering Electromagnetics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-07806-9_2.

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Ida, Nathan. "Vector Calculus." In Engineering Electromagnetics. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-68624-0_2.

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Ida, Nathan. "Vector Calculus." In Engineering Electromagnetics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-15557-5_2.

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Bolton, William. "Introducing calculus." In Engineering Science. Routledge, 2020. http://dx.doi.org/10.1201/9781003093596-30.

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Khan, Khalid, and Tony Lee Graham. "Multivariable Calculus." In Engineering Mathematics with Applications to Fire Engineering. CRC Press, 2018. http://dx.doi.org/10.1201/9781315104270-10.

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Khan, Khalid, and Tony Lee Graham. "Vector Calculus." In Engineering Mathematics with Applications to Fire Engineering. CRC Press, 2018. http://dx.doi.org/10.1201/9781315104270-11.

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Lee, Yeon Ho. "Vector Calculus." In Introduction to Engineering Electromagnetics. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36118-0_2.

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Lee, Yeon Ho. "Vector Calculus." In Introduction to Engineering Electromagnetics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-28659-9_2.

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Conference papers on the topic "Engineering Calculus"

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Dargham, Jamal Ahmad, and Renee Ka Yin Chin. "Rethinking Teaching Approach for Engineering Calculus." In 2024 IEEE 13th International Conference on Engineering Education (ICEED). IEEE, 2024. https://doi.org/10.1109/iceed62316.2024.10923774.

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He, Jifeng. "Transaction Calculus." In 2008 IEEE 11th High-Assurance Systems Engineering Symposium (HASE). IEEE, 2008. http://dx.doi.org/10.1109/hase.2008.67.

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Weissman, Yitzhak. "Optical Network Calculus." In 6th Mtg in Israel on Optical Engineering, edited by Rami Finkler and Joseph Shamir. SPIE, 1989. http://dx.doi.org/10.1117/12.951071.

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Prokić, Ivan. "A COMPOSITIONAL ENCODING OF π-CALCULUS INTO Cπ-CALCULUS". У The 9th Conference on Mathematics in Engineering: Theory and Applications. Faculty of Technical Sciences, University of Novi Sad, 2024. http://dx.doi.org/10.24867/meta.2024.20.

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Recently, a fragment of the π-calculus, named Cπ-calculus, has been introduced as a model for confidential name passing in concurrent systems. The key feature of the Cπ-calculus is disabling forwarding in name passing. It has been shown that even being a fragment of the πcalculus, it is possible to recover the full π-expressivity in this fragment. This was done via an encoding of π-processes into the Cπ-processes and showing that such an encoding satisfies some desired properties. However, one property this encoding does not satisfy is compositionality. In this paper, we propose a new encoding
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Ciucu, Florin. "The stochastic network calculus." In Asian Internet Engineering Conference. ACM Press, 2009. http://dx.doi.org/10.1145/1711113.1711122.

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Wood, K. L., E. K. Antonsson, and J. L. Beck. "Comparing Fuzzy and Probability Calculus for Representing Imprecision in Preliminary Engineering Design." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0012.

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Abstract A technique to perform design calculations on imprecise representations of parameters using the calculus of fuzzy sets has been previously developed [17]. An analogous approach to representing and manipulating uncertainty in choosing among alternatives (imprecision) using probability calculus is presented and compared with the fuzzy calculus technique. We find that the fuzzy calculus is well suited to representing and manipulating the imprecision aspect of uncertainty, and probability is best used to represent stochastic uncertainty.
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Machado, J. A. Tenreiro. "Application of Fractional Calculus in Engineering Sciences." In 2008 IEEE International Conference on Computational Cybernetics (ICCC). IEEE, 2008. http://dx.doi.org/10.1109/icccyb.2008.4721370.

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He, Jifeng. "Hybrid Relation Calculus." In 2013 18th International Conference on Engineering of Complex Computer Systems (ICECCS). IEEE, 2013. http://dx.doi.org/10.1109/iceccs.2013.10.

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Dimiev, Stancho, Peter Stoev, and Stanislava Stoilova. "Matrix anticirculant calculus." In 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. AIP, 2013. http://dx.doi.org/10.1063/1.4854783.

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Lewis, Rory. "A Semantic Calculus." In ICIME 2019: 2019 11th International Conference on Information Management and Engineering. ACM, 2020. http://dx.doi.org/10.1145/3373744.3373755.

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Reports on the topic "Engineering Calculus"

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Perret, D., B. Dietiker, J. P. Gravel, T. Fournier, and A. J. M. Pugin. Ambient micro-vibration measurements in geotechnical engineering: a practical approach to the HVSR method. Natural Resources Canada/CMSS/Information Management, 2024. http://dx.doi.org/10.4095/p6qwj6n6fj.

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Depuis les dix dernières années, la communauté géotechnique s’intéresse de plus en plus à une technique géophysique basée sur l'analyse du bruit ambiant enregistré à l’aide d’un sismomètre à trois composantes à la surface du sol. Le but de cette technique est de calculer le rapport des spectres d'amplitude de Fourier des composantes horizontale et verticale de l'enregistrement, communément appelé HVSR. (Horizontal to Vertical Spectral Ratio). Lorsque le contraste de vitesse de l'onde de cisaillement entre le substratum rocheux, ou un till dense, et le sol au-dessus est suffisamment élevé, la c
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