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Relevant bibliographies by topics / Patterns and proofs

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Academic literature on the topic 'Patterns and proofs'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Patterns and proofs"

1

Mühlhölzer, Felix. ""A Mathematical Proof Must Be Surveyable" What Wittgenstein Meant by This and What It Implies." Grazer Philosophische Studien 71, no. 1 (2006): 57–86. http://dx.doi.org/10.1163/18756735-071001006.

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In Part III of his Wittgenstein deals with what he calls the of proofs. By this he means that mathematical proofs can be reproduced with certainty and in the manner in which we reproduce pictures. There are remarkable similarities between Wittgenstein's view of proofs and Hilbert's, but Wittgenstein, unlike Hilbert, uses his view mainly in critical intent. He tries to undermine foundational systems in mathematics, like logicist or set theoretic ones, by stressing the unsurveyability of the proof-patterns occurring in them. Wittgenstein presents two main arguments against foundational endeavour

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D'Ambrosio, Beatriz S., Signe E. Kastberg, and João Ricardo Viola dos Santos. "Learning from Student Approaches to Algebraic Proofs." Mathematics Teacher 103, no. 7 (2010): 489–95. http://dx.doi.org/10.5951/mt.103.7.0489.

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D'Ambrosio, Beatriz S., Signe E. Kastberg, and João Ricardo Viola dos Santos. "Learning from Student Approaches to Algebraic Proofs." Mathematics Teacher 103, no. 7 (2010): 489–95. http://dx.doi.org/10.5951/mt.103.7.0489.

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Moh, Zayyadi, and Kurniati Dian. "Mathematics reasoning and proving of students in generalizing the pattern." International Journal of Engineering & Technology 7, no. 2.10 (2018): 15. http://dx.doi.org/10.14419/ijet.v7i2.10.10945.

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The purpose of this study was to identify students' reasoning in generalizing the patterns that proved by generalizing the structural generalizations with involve the mathematical structures and empirical generalizations that emphasize perceptions or evidence derived from the found regularities. The subjects in this research were the 7th semester students of Mathematics Education of University of Madura, Indonesia. The research steps in this research were (1) giving the reasoning tests to the research subjects, (2) analyzing the results of reasoning tests to identify reasoning and mathematical

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HAYNES, ALAN, ANTOINE JULIEN, HENNA KOIVUSALO, and JAMES WALTON. "Statistics of patterns in typical cut and project sets." Ergodic Theory and Dynamical Systems 39, no. 12 (2018): 3365–87. http://dx.doi.org/10.1017/etds.2018.15.

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In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic frequencies. We also give bounds for repetitivity and repulsivity functions. The proofs use ideas and tools developed in discrepancy theory.

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Cox, E. A., M. P. Mortell, A. V. Pokrovskii, and O. Rasskazov. "On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2061 (2005): 2857–85. http://dx.doi.org/10.1098/rspa.2005.1481.

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The periodically forced KdVB and extended KdVB equations are considered. We investigate the structure of the totality of steady profiles. The existence of profiles that are close to any shuffling of two basic profiles is proved, and hence the existence of spatially chaotic and recurrent solutions. The proofs are based on topological degree theory to analyse chaotic behaviour. These proofs combine ideas suggested by P. Zgliczyński ( Zgliczyński 1996 Topol. Methods Nonlinear Anal . 8 , 169–177 ) with the method of topological shadowing. The results are also applicable to the classical problem of

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SUCHENEK, MAREK A. "APPLICATIONS OF LYNDON HOMOMORPHISM THEOREMS TO THE THEORY OF MINIMAL MODELS." International Journal of Foundations of Computer Science 01, no. 01 (1990): 49–59. http://dx.doi.org/10.1142/s0129054190000059.

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This paper contains, among others, a concise proof (proof 6.2) of the following fact (theorem 2.7): For every ∀∪Neg-theory Σ and every positive sentence φ, [Formula: see text] It is demonstrated in this paper (corollary 5.2) that the necessary and sufficient condition for φ, guaranteeing the truthfulness of the above equivalence for every Σ⊆∀, is that φ is equivalent to a sentence which does not contain in a scope of negation an occurrence of a relation symbol other than the equality symbol. The proofs have been constructed using classical model-theoretic tools, thus supporting the thesis that

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Suwaji, Untung Trisna. "Pola-Pola pada Segitiga Pascal dan Pembuktiannya." Idealmathedu: Indonesian Digital Journal of Mathematics and Education 7, no. 2 (2020): 80–91. http://dx.doi.org/10.53717/idealmathedu.v7i2.230.

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Pascal's triangle has a variety of interesting patterns. This article discusses some of the patterns that might be found in Pascal's triangle and their proofs. In the teaching and learning process, teacher may invite students to observe these patterns, try the patterns to make generalization, make conjecture, prove the conjecture, and communicate the process to others. This procedure is appropriate with the teaching and learning process suggested in the Indonesian 2013 Curriculum.

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ANDREIANOV, BORIS, MOSTAFA BENDAHMANE, and RICARDO RUIZ-BAIER. "ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS." Mathematical Models and Methods in Applied Sciences 21, no. 02 (2011): 307–44. http://dx.doi.org/10.1142/s0218202511005064.

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The main goal of this paper is to propose a convergent finite volume method for a reaction–diffusion system with cross-diffusion. First, we sketch an existence proof for a class of cross-diffusion systems. Then the standard two-point finite volume fluxes are used in combination with a nonlinear positivity-preserving approximation of the cross-diffusion coefficients. Existence and uniqueness of the approximate solution are addressed, and it is also shown that the scheme converges to the corresponding weak solution for the studied model. Furthermore, we provide a stability analysis to study patt

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Martin, David R. "Activities for Students: Filling a Square with a Curve." Mathematics Teacher 108, no. 3 (2014): 218–24. http://dx.doi.org/10.5951/mathteacher.108.3.0218.

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inding patterns and making conjectures are important thinking skills for students at all levels of mathematics education. Both the Common Core State Standards for Mathematics and the National Council of Teachers of Mathematics speak to the importance of these thought processes. NCTM suggests that students should be able to recognize reasoning and proof as fundamental aspects of mathematics, make and investigate mathematical conjectures, develop and evaluate mathematical arguments and proofs, and select and use various types of reasoning and methods of proof. CCSS states that students should “m

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Dissertations / Theses on the topic "Patterns and proofs"

1

Bosna, Bora. "On Amalgamation of Pure Patterns of Resemblance of Order Two." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1408722057.

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Jadrný, Miroslav. "Model workflow a jeho grafické rozhraní." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2010. http://www.nusl.cz/ntk/nusl-237094.

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Business process management is important topic in business information systems. Workflow systems are taking the top places in company information system architecture due to aspiration to make business process more and more optimized. This project is about parallel processing and implementation of business processes parallel processing in complex information systems. Content of this project is o function and object library for modeling business process in Vema, a. s. Workflow system. Important part of this project is parallel processing solution and its implementation.

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Sundblad, Graziella. "Building a low-cost IoT sensor system that recognizes behavioral patterns for collaborative learning - A Proof of Concept." Thesis, Malmö universitet, Institutionen för datavetenskap och medieteknik (DVMT), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-44351.

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Since the advent of the Internet, we have been observing a fast-paced development within the computing world. One of the major innovations in recent years is the “Internet of Things”, which brings interconnectedness between devices and humans to unprecedented heights. This technological breakthrough enabled the emergence of a new sub-field within Learning Analytics, Multimodal Learning Analytics, which makes use of several types of data sources to study learning-related processes. As computers and sensors become increasingly cheaper and more accessible, research within this new sub-field grow

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Waring, Susan. "Learning and teaching proof and pattern in mathematics in the age range fourteen to sixteen years." Thesis, University of Leeds, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393129.

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Ludvík, Martin. "Analýza diagramů byznys procesů." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2009. http://www.nusl.cz/ntk/nusl-236696.

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The aim of Analysis of Business Process Diagrams is to create procedure that is able to find typical patterns in business process diagrams. Besides, it is necessary to design and implement application, which will be able to find and mark selected workflow patterns. This analysis is based on XML document, in which a business process diagram is stored. Important thing is to keep the ability to extend the number of patterns, which can be find out in a diagram. Also, it is important to solve some special situations, i.e. overlapping of patterns.

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Marsili, Aurélien. "Identification of LHC beam loss mechanism : a deterministic treatment of loss patterns." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00807367.

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CERN's Large Hadron Collider (LHC) is the largest machine ever built, with a total circumference of 26.7 km; and it is the most powerful accelerator ever, both in beam energy and beam intensity. The main magnets are superconducting, keeping the particles into two counter circulating beams, which collide in four interaction points. CERN and the LHC will be described in chap. 1. The superconducting magnets of the LHC have to be protected against particle losses. Depending on the number of lost particles, the coils of the magnets will become normal conducting and/or will be damaged. To avoid thes

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Mezera, Jiří. "Standardy modelování podnikových procesů." Master's thesis, Vysoká škola ekonomická v Praze, 2010. http://www.nusl.cz/ntk/nusl-72491.

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Today, business process modelling is important part of analysis and design of the information systems. There is number of standards, which is concerned with process modelling, whereas each of them represents a little different approach. The project Opensoul created general metamodel, which defines basic elements and their mutual associations, which all standards should meet. In other words, it defines basic rules for process modelling. The goal of this thesis is to compare chosen standards of process modelling with Business process metamodel of Opensoul initiative. The results of this comparis

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Wu, Hung-Jen. "Direct measurements of ensemble particle and surface interactions on homogeneous and patterned substrates." Texas A&M University, 2005. http://hdl.handle.net/1969.1/3747.

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In this dissertation, we describe a novel method that we call Diffusing Colloidal Probe Microscopy (DCPM), which integrates Total Internal Reflection Microscopy (TIRM) and Video Microscopy (VM) methods to monitor three dimensional trajectories in colloidal ensembles levitated above macroscopic surfaces. TIRM and VM are well established optical microscopy techniques for measuring normal and lateral colloidal excursions near macroscopic planar surfaces. The interactions between particle-particle and particle-substrate in colloidal interfacial systems are interpreted by statistical analyses from

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Gamero, Argüello Fco Ignacio (Francisco Ignacio). "Pattern recognition based on qualitative representation of signals. Application to situation assessment of dynamic systems." Doctoral thesis, Universitat de Girona, 2012. http://hdl.handle.net/10803/83670.

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The main focus of situation assessment is to decide on the adequacy of process behaviour with respect to specifications. When is not possible to have a mathematical model to represent the system operation, other non-model-based techniques must be considered. Classification methods are typically proposed as strategies for diagnosis. Here, identification of the functional states is reduced to recognising the current shapes of variables as well-known states, commonly taking advantage of a process expert or past experiences. However, human knowledge is related to concepts and symbols whereas proce

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Brun, Usan Miguel Angel. "Computaional modeling of early cleavage in metazoans: the case of the spiral pattern (Modelado computacional del clivaje temprano en metazoos: el caso del patrón espiral)." Doctoral thesis, Universitat Autònoma de Barcelona, 2016. http://hdl.handle.net/10803/401007.

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El clivaje es la primera etapa del desarrollo embrionario. En ella, el zigoto fecundado se divide en un conjunto de células menores (blastómeros), que se disponen en una organización espacial concreta (un patrón de clivaje). Diferentes metazoos poseen diferentes patrones de clivaje, pero todos ellos pueden ser clasificados en un pequeño conjunto de tipos básicos atendiendo a algunas regularidades geométricas en la disposición de sus blastómeros. Taxones con un parentesco evolutivo lejano pueden presentar patrones de clivaje similares, mientras que especies pertenecientes a un mismo taxón pu

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Books on the topic "Patterns and proofs"

1

Mathematical reasoning: Patterns, problems, conjectures, and proofs. Psychology Press, 2010.

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Nickerson, Raymond S. Mathematical reasoning: Patterns, problems, conjectures, and proofs. Psychology Press, 2010.

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Nickerson, Raymond S. Mathematical reasoning: Patterns, problems, conjectures, and proofs. Psychology Press, 2010.

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Joshi, Mark. Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8.

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Drechsler, Rolf, Stephan Eggersglüβ, Görschwin Fey, and Daniel Tille. Test Pattern Generation using Boolean Proof Engines. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2360-5.

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Drechsler, Rolf. Test pattern generation using Boolean proof engines. Springer, 2009.

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Winston, Crawley J., ed. Discrete mathematics: Mathematical reasoning and proof with puzzles, patterns, and games. Wiley, 2006.

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Judd, J. Hewitt. United States pattern coins, experimental, and trial pieces: America's rarest coins. 8th ed. Whitman Pub., 2003.

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Judd, J. Hewitt. United States pattern coins, experimental and trial pieces: Complete source for history, rarity, and values. 9th ed. Whitman Pub., 2005.

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S, Baird Henry, and Lopresti Daniel Philip, eds. Human interactive proofs: Second international workshop, HIP 2005, Bethlehem, PA, USA, May 19-20, 2005 : proceedings. Springer, 2005.

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Book chapters on the topic "Patterns and proofs"

1

Charlton, Nathaniel, and Bernhard Reus. "Specification Patterns and Proofs for Recursion through the Store." In Fundamentals of Computation Theory. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22953-4_27.

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Joshi, Mark. "Counterexamples." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_20.

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Joshi, Mark. "Induction and Complete Induction." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_1.

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Joshi, Mark. "Equivalence Extension." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_10.

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Joshi, Mark. "Proof by Classification." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_11.

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Joshi, Mark. "Specific-generality." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_12.

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Joshi, Mark. "Diagonal Tricks and Cardinality." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_13.

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Joshi, Mark. "Connectedness and the Jordan Curve Theorem." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_14.

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Joshi, Mark. "The Euler Characteristic and the Classification of Regular Polyhedra." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_15.

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Joshi, Mark. "Discharging." In Proof Patterns. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16250-8_16.

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Conference papers on the topic "Patterns and proofs"

1

Narsoo, Jeetendre, and Nawaz Mohamudally. "Identification of Design Patterns for Mobile Services with J2ME." In InSITE 2008: Informing Science + IT Education Conference. Informing Science Institute, 2008. http://dx.doi.org/10.28945/3274.

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The functional approach to software development has been used for years and new methodologies have evolved, including, object-oriented approach. Objects are sharing an important part in the software business. They have become the building blocks of many systems whether commercial applications, real-time applications or embedded systems applications. As objects represent an abstraction of the real world, systems modelled using objects can be easily read and interpreted. Design patterns have been used on desktop systems. Today, the trend is towards building applications on small hand-held device

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Egi, Satoshi. "Pattern-match-oriented proof writing language." In '20: 4th International Conference on the Art, Science, and Engineering of Programming. ACM, 2020. http://dx.doi.org/10.1145/3397537.3398481.

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Ganguly, S., M. Turski, M. E. Fitzpatrick, L. Edwards, M. C. Smith, and P. J. Bouchard. "Full Field Measurement of Plastic Flow Properties in a Multi-Pass Austenitic Stainless Steel Weld Specimen." In ASME 2008 Pressure Vessels and Piping Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/pvp2008-61365.

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Knowledge of constitutive material stress strain properties is important for reliable prediction of weld residual stress fields using analytical stress simulation techniques. The present work investigates the surface stress strain behaviour of a 3-pass groove-welded austenitic stainless steel disc. A relatively novel electronic speckled pattern interferometry (ESPI) technique was employed to monitor the surface deformation pattern across the weld, HAZ and parent metal of the specimens with very high spatial resolution. The deformation data was then analysed to determine the constitutive stress

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Qiu, Huihe, and Peng Zhang. "3D Flow Dynamics in a Patterned Round Microchannel." In ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2009. http://dx.doi.org/10.1115/icnmm2009-82086.

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The development of MEMS requires deliberate designs for controlling fluids in the low Reynolds number regime. Arranging surface charges in rectangular channels to obtain in-plane or out-of-plane vortices have been studied by previous researchers. However, previous surface modification techniques require different signs of zeta potentials from the other wall surfaces which made it difficult in selecting and coating microchannels. Previously, the opposite polarities are usually adjusted by changing the pH value of the solution with acid chemicals in other researches which made the solution compl

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Segall, S. B., M. B. Byers, and J. L. Pasqualin. "Results of Cylinder Bore Inspection Probe Measurements." In ASME 2006 International Manufacturing Science and Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/msec2006-21098.

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A non contact optical technique for mapping the surface finish of cylinder bores has been developed, and a probe has been built for performing this mapping by scanning the surface of a cylinder with a laser beam and recording the intensity of scattered light detected as a function of position on the cylinder surface. The probe is not a surface roughness gauge. It is used primarily to distinguish the scattering signatures from different patterns of machining marks. For identical patterns of machining marks scattered light intensity is expected to be proportional to surface roughness. Measuremen

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Rastegar, Jahangir, Dake Feng, and Kavous Jorabchi. "Model Parameter Identification of Nonlinear Dynamics Systems by Trajectory Pattern Method." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28254.

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In this paper, a new method is presented for model parameter identification of a large class of fully controlled nonlinear dynamics systems such as robot manipulators. The method uses trajectory patterns with feed-forward controls to identify model parameters of the system. The developed method ensures full system stability, does not require close initial estimated values for the parameters to be identified, and provides a systematic method of emphasizing on the estimation of the parameters associated with lower order terms of the system dynamics model and gradually upgrading the accuracy with

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Rastegar, Jahangir, and Dake Feng. "A Systematic Method for Model Parameter Identification of Nonlinear Dynamics Systems Using Trajectory Pattern Method." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35354.

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In this paper, a new method is presented for model parameter identification of a large class of fully controlled nonlinear dynamics systems such as robot manipulators. The method uses trajectory patterns with feed-forward controls to identify model parameters of the system. The developed method ensures full system stability, does not require close initial estimated values for the parameters to be identified, and provides a systematic method of emphasizing on the estimation of the parameters associated with lower order terms of the system dynamics model and gradually upgrading the accuracy with

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Rastegar, Jahangir, and Dake Feng. "A Systematic Method for Model Parameter Identification of Nonlinear Dynamics Systems Using Trajectory Pattern Method." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70460.

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In this paper, a new method is presented for model parameter identification of a large class of fully controlled nonlinear dynamics systems such as robot manipulators. The method uses trajectory patterns with feed-forward controls to identify model parameters of the system. The developed method ensures full system stability, does not require close initial estimated values for the parameters to be identified, and provides a systematic method of emphasizing on the estimation of the parameters associated with lower order terms of the system dynamics model and gradually upgrading the accuracy with

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Feng, Dake, and Jahangir Rastegar. "Model Parameter Identification for Non-Fully Controlled Nonlinear Dynamics Systems Using Trajectory Pattern Method." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13605.

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In this paper, a new method is presented for model parameter identification of a large class of nonlinear dynamics systems that are not fully controlled. The method uses trajectory patterns with feed-forward controls to identify model parameters of the system. The developed method ensures full system stability, does not require close initial estimated values for the parameters to be identified, and provides a systematic method of emphasizing on the estimation of the parameters associated with lower order terms of the system dynamics model and gradually upgrading the accuracy with which the mod

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Corral, Roque, Josu Beloki, Paolo Calza, and Robert Elliot. "Flutter Generation and Control Using Mistuning in a Turbine Rotating Rig." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-57949.

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The paper describes a free-flutter experiment on a stand-alone low-pressure turbine bladed rotor in a high-speed rotating wind tunnel together with the most relevant design decisions and solutions obtained for a low-reduced frequency cantilever shrouded rotor blade design. The test rotor underwent an experimental campaign with independent control of the shaft speed, pressure ratio and air density levels. Measurements were obtained entirely by means of non-intrusive techniques such as blade tip timing optical probes, and unsteady pressure transducers located in the outer casing of the rig downs

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Reports on the topic "Patterns and proofs"

1

Eike, Rachel. Suit of the Youth: �Intentional Pattern-Making� Proof of Concept for Repurposing Apparel. Iowa State University. Library, 2019. http://dx.doi.org/10.31274/itaa.8377.

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Cordes, Gail Adele, Leo Anthony Van Ausdeln, and Maria Elena Velasquez. Using Patterns for Multivariate Monitoring and Feedback Control of Linear Accelerator Performance: Proof-of-Concept Research. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/911200.

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‘Sleep Patterns, Associations with Anxiety and Depression’ an ‘In Conversation’ Special with Dr. Faith Orchard. ACAMH, 2020. http://dx.doi.org/10.13056/acamh.13565.

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