Relevant bibliographies by topics / Bounded variation

Contents

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

Academic literature on the topic 'Bounded variation'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Bounded variation"

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., Jyoti. "Functions of Bounded Variation." Journal of Advances and Scholarly Researches in Allied Education 15, no. 4 (June 1, 2018): 250–52. http://dx.doi.org/10.29070/15/57855.

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Castillo, Mariela, Sergio Rivas, María Sanoja, and Iván Zea. "Functions of Boundedκφ-Variation in the Sense of Riesz-Korenblum." Journal of Function Spaces and Applications 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/718507.

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We present the space of functions of boundedκφ-variation in the sense of Riesz-Korenblum, denoted byκBVφ[a,b], which is a combination of the notions of boundedφ-variation in the sense of Riesz and boundedκ-variation in the sense of Korenblum. Moreover, we prove that the space generated by this class of functions is a Banach space with a given norm and we prove that the uniformly bounded composition operator satisfies Matkowski's weak condition.
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Foran. "BOUNDED VARIATION AND POROSITY." Real Analysis Exchange 12, no. 2 (1986): 468. http://dx.doi.org/10.2307/44153590.

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Giménez, José, Lorena López, N. Merentes, and J. L. Sánchez. "On Bounded Second Variation." Advances in Pure Mathematics 02, no. 01 (2012): 22–26. http://dx.doi.org/10.4236/apm.2012.21005.

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Chistyakov, V. V. "Selections of Bounded Variation." Journal of Applied Analysis 10, no. 1 (January 2004): 1–82. http://dx.doi.org/10.1515/jaa.2004.1.

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Hencl, Stanislav, Pekka Koskela, and Jani Onninen. "Homeomorphisms of Bounded Variation." Archive for Rational Mechanics and Analysis 186, no. 3 (October 16, 2007): 351–60. http://dx.doi.org/10.1007/s00205-007-0056-6.

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Vinter, R. B. "Multifunctions of bounded variation." Journal of Differential Equations 260, no. 4 (February 2016): 3350–79. http://dx.doi.org/10.1016/j.jde.2015.10.033.

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Gulgowski, Jacek. "On integral bounded variation." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113, no. 2 (December 22, 2017): 399–422. http://dx.doi.org/10.1007/s13398-017-0482-8.

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Lipcsey, Z., I. M. Esuabana, J. A. Ugboh, and I. O. Isaac. "Integral Representation of Functions of Bounded Variation." Journal of Mathematics 2019 (July 8, 2019): 1–11. http://dx.doi.org/10.1155/2019/1065946.

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Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually entered into the theory of differential equations. However, the determination of existence of solutions is still problematic because the solutions of differential equations is usually at least absolute continuous which is disrupted by the solutions of bounded variations. As it is known, if f:[a,bλ]→Rn is of bounded variation then f is the sum of an absolute continuous function fa and a singular function fs where the total variation of fs generates a singular measure τ and fs is absolute continuous with respect to τ. In this paper we prove that a function of bounded variation f has two representations: one is f which was described with an absolute continuous part with respect to the Lebesgue measure λ, while in the other an integral with respect to τ forms the absolute continuous part and t(τ) defines the singular measure. Both representations are obtained as parameter transformation images of an absolute continuous function on total variation domain [a,bν].
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Conti, Sergio, Matteo Focardi, and Flaviana Iurlano. "Which special functions of bounded deformation have bounded variation?" Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 1 (October 17, 2017): 33–50. http://dx.doi.org/10.1017/s030821051700004x.

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Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood. We discuss here the relation to BV under additional regularity assumptions, which may require the regular part of the strain to have higher integrability or the jump set to have finite area or the Cantor part to vanish. On the positive side, we prove that BD functions that are piecewise affine on a Caccioppoli partition are in GSBV, and we prove that SBDp functions are approximately continuous -almost everywhere away from the jump set. On the negative side, we construct a function that is BD but not in BV and has distributional strain consisting only of a jump part, and one that has a distributional strain consisting of only a Cantor part.
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Dissertations / Theses on the topic "Bounded variation"

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Lind, Martin. "Functions of bounded variation." Thesis, Karlstad University, Division for Engineering Sciences, Physics and Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-209.

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The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.

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Lind, Martin. "Functions of Generalized Bounded Variation." Doctoral thesis, Karlstads universitet, Institutionen för matematik och datavetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-26342.

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This thesis is devoted to the study of different generalizations of the classical conception of a function of bounded variation. First, we study the functions of bounded p-variation introduced by Wiener in 1924. We obtain estimates of the total p-variation (1<p<∞) and other related functionals for a periodic function f in Lp([0,1]) in terms of its Lp-modulus of continuity ω(f;δ)p. These estimates are sharp for any rate of decay of ω(f;δ)p. Moreover, the constant coefficients in them depend on parameters in an optimal way. Inspired by these results, we consider the relationship between the Riesz type generalized variation vp,α(f) (1<p<∞, 0≤α≤1-1/p) and the modulus of p-continuity  ω1-1/p(f;δ). These functionals generate scales of spaces that connect the space of functions of bounded p-variation and the Sobolev space Wp1. We prove sharp estimates of vp,α(f) in terms of ω1-1/p(f;δ). In the same direction, we study relations between moduli of p-continuity and q-continuity for 1<p<q<∞. We prove an inequality that estimates ω1-1/p(f;δ) in terms of ω1-1/q(f;δ). The inequality is sharp for any order of decay of ω1-1/q(f;δ). Next, we study another generalization of bounded variation: the so-called bounded Λ-variation, introduced by Waterman in 1972. We investigate relations between the space ΛBV of functions of bounded Λ-variation, and classes of functions defined via integral smoothness properties. In particular, we obtain the necessary and sufficient condition for the embedding of the class Lip(α;p) into ΛBV. This solves a problem of Wang (2009). We consider also functions of two variables. Applying our one-dimensional result, we obtain sharp estimates of the Hardy-Vitali type p-variation of a bivariate function in terms of its mixed modulus of continuity in Lp([0,1]2). Further, we investigate Fubini-type properties of the space Hp(2) of functions of bounded Hardy-Vitali p-variation. This leads us to consider the symmetric mixed norm space Vp[Vp]sym of functions of bounded iterated p-variation. For p>1, we prove that Hp(2) is not embedded into Vp[Vp]sym, and that Vp[Vp]sym is not embedded into Hp(2). In other words, Fubini-type properties completely fail in the class of functions of bounded Hardy-Vitali type p-variation for p>1.
Baksidestext The classical concept of the total variation of a function has been extended in several directions. Such extensions find many applications in different areas of mathematics. Consequently, the study of notions of generalized bounded variation forms an important direction in the field of mathematical analysis. This thesis is devoted to the investigation of various properties of functions of generalized bounded variation.  In particular, we obtain the following results: sharp relations between spaces of generalized bounded variation and spaces of functions  defined by integral smoothness conditions  (e.g., Sobolev and Besov spaces); optimal properties of certain scales of function spaces of frac- tional smoothness generated by functionals of variational type; sharp embeddings within  the scale of spaces of functions of bounded p-variation; results concerning bivariate functions of bounded p-variation, in particular sharp estimates of total variation in terms of the mixed Lp-modulus of continuity, and Fubini-type properties.
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Spear, Donald W. "The Mean Integral." Thesis, North Texas State University, 1985. https://digital.library.unt.edu/ark:/67531/metadc500820/.

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The purpose of this paper is to examine properties of the mean integral. The mean integral is compared with the regular integral. If [a;b] is an interval, f is quasicontinuous on [a;b] and g has bounded variation on [a;b], then the man integral of f with respect to g exists on [a;b]. The following theorem is proved. If [a*;b*] and [a;b] each is an interval and h is a function from [a*;b*] into R, then the following two statements are equivalent: 1) If f is a function from [a;b] into [a*;b*], gi is a function from [a;b] into R with bounded variation and (m)∫^b_afdg exists then (m)∫^b_ah(f)dg exists. 2) h is continuous.
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Klumpp, Stephan W. [Verfasser]. "Variation of Friction Drag in Wall-Bounded Flows / Stephan W Klumpp." Aachen : Shaker, 2010. http://d-nb.info/1101184388/34.

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Quinn, Eugene P. "On the boundedness character of third-order rational difference equations /." View online ; access limited to URI, 2006. http://0-digitalcommons.uri.edu.helin.uri.edu/dissertations/AAI3225327.

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Bellavia, Mark R. "Long term behavior or the positive solutions of the non-autonomous difference equation : x [subscript] n+1 = A [subscript] n [superscript] x [subscript] n-1 [divided by] 1+x [subscript] n, n=0,1,2... /." Link to online version, 2005. https://ritdml.rit.edu/dspace/handle/1850/1117.

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Johan, Filip Rindler Johan Filip. "Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:c4736fa2-ab51-4cb7-b1d9-cbab0ede274b.

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Reinwand, Simon [Verfasser], Jürgen [Gutachter] Appell, Daria [Gutachter] Bugajewska, and Gianluca [Gutachter] Vinti. "Functions of Bounded Variation: Theory, Methods, Applications / Simon Reinwand ; Gutachter: Jürgen Appell, Daria Bugajewska, Gianluca Vinti." Würzburg : Universität Würzburg, 2021. http://d-nb.info/1232647632/34.

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Reinhold, Küstner. "Asymptotic zero distribution of orthogonal polynomials with respect to complex measures having argument of bounded variation." Nice, 2003. http://www.theses.fr/2003NICE4054.

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On détermine la distribution asymptotique des pôles pour trois types de meilleurs approximants (Padé à l’infini, rationnel en L2 sur le cercle unité, méromorphe dans le disque unité en Lp sur le cercle unité, p>2) de la transformée de Cauchy d’une mesure complexe sous l’hypothèse que le support S de la mesure soit de capacité positive et inclus dans (-1, 1), que la mesure satisfasse une condition de densité et que l’argument de la mesure soit la restriction d’une fonction à variation bornée. Les polynômes dénominateurs des approximants satisfont des relations d’orthogonalité. Au moyen d’un théorème de Kestelman, on obtient des contraintes géométriques pour les zéros qui impliquent que chaque mesure limite faible des mesures de comptage associées à son support inclus dans S. Puis, à l’aide de résultats de la théorie du potentiel dans le plan, on montre que les mesures de comptage convergent faiblement vers la distribution d’équilibre logarithmique respectivement hyperbolique de S
We determine the asymptotic pole distribution for three types of best approximants (Padé at infinity, rational in L2 on the unit circle, meromorphic in the unit disk in Lp on the unit circle, p>2) of the Cauchy transform of a complex measure under the hypothesis that the support S of the measure is of positive capacity and included in (-1 1), that the measure satisfies a density condition and that the argument of the measure is the restriction of a function of bounded variation ? The denominator polynomials of the approximants satisfay orthogonality relations ? By means of a theorem of Kestelman we obtain geometric constraints for the zeros which imply that every weak limit measure of the associated counting measures has support included in S. Then, with the help of results from potential theory in the plane, we show that the counting measures converge weakly to the logarithmic respectively hyperbolic equilibrium distribution of S
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Fleischer, G., R. Gorenflo, and B. Hofmann. "On the Autoconvolution Equation and Total Variation Constraints." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801196.

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This paper is concerned with the numerical analysis of the autoconvolution equation $x*x=y$ restricted to the interval [0,1]. We present a discrete constrained least squares approach and prove its convergence in $L^p(0,1),1
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Books on the topic "Bounded variation"

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author, Banas Jozef 1950, and Merentes Díaz, Nelson José, author, eds. Bounded variation and around. Berlin: Walter de Gruyter GmbH & Co. KG, 2013.

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Nicola, Fusco, and Pallara Diego, eds. Functions of bounded variation and free discontinuity problems. Oxford: Clarendon Press, 2000.

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Liflyand, Elijah. Functions of Bounded Variation and Their Fourier Transforms. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04429-9.

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Ziemer, William P. Weakly differentiable functions: Sobolev spaces and functions of bounded variation. New York: Springer-Verlag, 1989.

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Braides, Andrea. Approximation of free-discontinuity problems. Berlin: Springer-Verlag, 1998.

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On the algebraic foundation of bounded cohomology. Providence, R.I: American Mathematical Society, 2011.

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Giuseppe, Buttazzo, and Michaille Gérard, eds. Variational analysis in Sobolev and BV spaces: Applications to PDEs and optimization. Philadelphia: Society for Industrial and Applied Mathematics, 2005.

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Dudley, R. M. Differentiability of six operators on nonsmooth functions and p-variation. Berlin: Springer, 1999.

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Cheverry, Christophe. Systèmes de lois de conservation et stabilité BV. [Paris, France]: Société mathématique de France, 1998.

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Verrill, S. P. Confidence bounds and hypothesis tests for normal distribution coefficients of variation. Madison, WI: USDA, Forest Service, Forest Products Laboratory, 2007.

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Book chapters on the topic "Bounded variation"

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Kannan, R., and Carole King Krueger. "Bounded Variation." In Universitext, 118–52. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4613-8474-8_7.

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Ziemer, William P. "Functions of Bounded Variation." In Weakly Differentiable Functions, 220–82. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-1015-3_5.

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Braides, Andrea. "Functions of bounded variation." In Approximation of Free-Discontinuity Problems, 7–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0097346.

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Leoni, Giovanni. "Functions of bounded variation." In Graduate Studies in Mathematics, 377–414. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/105/13.

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Rana, Inder. "Functions of bounded variation." In Graduate Studies in Mathematics, 397–99. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/gsm/045/17.

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Liflyand, Elijah. "Bounded variation and sampling." In Functions of Bounded Variation and Their Fourier Transforms, 161–77. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04429-9_8.

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Laczkovich, Miklós, and Vera T. Sós. "Functions of Bounded Variation." In Real Analysis, 399–406. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4939-2766-1_17.

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Pinoli, Jean-Charles. "The Bounded-Variation Framework." In Mathematical Foundations of Image Processing and Analysis 2, 253–68. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2014. http://dx.doi.org/10.1002/9781118984574.ch38.

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Chistyakov, Vyacheslav V. "Mappings of Bounded Generalized Variation." In SpringerBriefs in Mathematics, 93–122. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25283-4_6.

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Koch, Herbert, Daniel Tataru, and Monica Vişan. "Functions of bounded p-variation." In Oberwolfach Seminars, 41–71. Basel: Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0736-4_4.

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Conference papers on the topic "Bounded variation"

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Makovetskii, Artyom, Sergei Voronin, and Vitaly Kober. "Total variation regularization with bounded linear variations." In SPIE Optical Engineering + Applications, edited by Andrew G. Tescher. SPIE, 2016. http://dx.doi.org/10.1117/12.2237162.

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Rantzer, Anders. "Uncertainties With Bounded Rates of Variation." In 1993 American Control Conference. IEEE, 1993. http://dx.doi.org/10.23919/acc.1993.4792797.

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Singh, Akhilesh Kumar. "Functions of bounded variation on effect algebras." In ADVANCEMENT IN MATHEMATICAL SCIENCES: Proceedings of the 2nd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5008701.

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Fitzpatrick, B. G., S. L. Keeling, and S. G. Rock. "A Bounded Variation Approach to Inverse Interferometry." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0671.

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Abstract A least squares reconstruction technique is examined for determining flow-field densities from optical data. Nonintrusive optical methods have long been used for flow visualization; however, the goal of this work is to devise mathematical techniques with which optical data can be used for quantitative flow measurement. The ill-posedness of density computation from interferogram measurements is recognized as a serious limitation in direct inversion methods. Here, least squares techniques employing compactness constraints are developed to avoid the difficulties encountered in traditional approaches.
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Kadhim, Ali M. H., Wolfgang Birk, and Thomas Gustafsson. "Relative gain array variation for norm bounded uncertain systems." In 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, 2015. http://dx.doi.org/10.1109/cdc.2015.7403156.

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Cheng, Hui, Jiannong Cao, and Xingwei Wang. "Constructing Delay-bounded Multicast Tree with Optimal Delay Variation." In 2006 IEEE International Conference on Communications. IEEE, 2006. http://dx.doi.org/10.1109/icc.2006.254806.

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Long, Philip M. "On the sample complexity of learning functions with bounded variation." In the eleventh annual conference. New York, New York, USA: ACM Press, 1998. http://dx.doi.org/10.1145/279943.279970.

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Bhattacharya, Abhishek, and Zhenyu Yang. "DVBMN-l: delay variation bounded multicast network with multiple paths." In 2009 IEEE International Conference on Multimedia and Expo (ICME). IEEE, 2009. http://dx.doi.org/10.1109/icme.2009.5202606.

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Jin, Xing, and Jason V. Clark. "Variation Analyses Using SugarCube." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-89745.

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In this paper, we present new variation analysis features added to SugarCube. SugarCube is a novice-friendly online CAD tool for exploring the design space of compact MEMS models. Such variation analysis can help to evaluate the bounded effects of unavoidable process variations during the fabrication (such as Young’s modulus, overcut, gap asymmetry, etc.), packaging (such as variations in temperature, expansion coefficients, etc.), and operation (such as variations in voltage sources, etc.). Compared to other software tools for MEMS, the benefits of variation analysis in SugarCube include its comprehensiveness, ease of use, speed, and accessibility. In SugarCube, any geometric, material, or excitation parameter may be easily explored for its effect on device performance. Such analysis is expected to benefit feasibility analyses on process survivability, process yield, and operational robustness. For a couple of test cases, we perform our variation analysis on a micro-scale accelerometer and gyroscope.
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Guzik, Stephen, and Clinton Groth. "A High-Order Residual-Distribution Scheme with Variation-Bounded Nonlinear Stabilization." In 46th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-777.

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Reports on the topic "Bounded variation"

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Manski, Charles, and John Pepper. How Do Right-To-Carry Laws Affect Crime Rates? Coping With Ambiguity Using Bounded-Variation Assumptions. Cambridge, MA: National Bureau of Economic Research, November 2015. http://dx.doi.org/10.3386/w21701.

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Verrill, Steve. Confidence bounds for normal and lognormal distribution coefficients of variation. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory, 2003. http://dx.doi.org/10.2737/fpl-rp-609.

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Verrill, Steve P., and Richard A. Johnson. Confidence bounds and hypothesis tests for normal distribution coefficients of variation. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory, 2007. http://dx.doi.org/10.2737/fpl-rp-638.

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Pokrzywinski, Kaytee, Kaitlin Volk, Taylor Rycroft, Susie Wood, Tim Davis, and Jim Lazorchak. Aligning research and monitoring priorities for benthic cyanobacteria and cyanotoxins : a workshop summary. Engineer Research and Development Center (U.S.), August 2021. http://dx.doi.org/10.21079/11681/41680.

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In 2018, the US Army Engineer Research and Development Center partnered with the US Army Corps of Engineers–Buffalo District, the US Environmental Protection Agency, Bowling Green State University, and the Cawthron Institute to host a workshop focused on benthic and sediment-associated cyanobacteria and cyanotoxins, particularly in the context of harmful algal blooms (HAB). Technical sessions on the ecology of benthic cyanobacteria in lakes and rivers; monitoring of cyanobacteria and cyanotoxins; detection of benthic and sediment-bound cyanotoxins; and the fate, transport, and health risks of cyanobacteria and their associated toxins were presented. Research summaries included the buoyancy and dispersal of benthic freshwater cyanobacteria mats, the fate and quantification of cyanotoxins in lake sediments, and spatial and temporal variation of toxins in streams. In addition, summaries of remote sensing methods, omic techniques, and field sampling techniques were presented. Critical research gaps identified from this workshop include (1) ecology of benthic cyanobacteria, (2) identity, fate, transport, and risk of cyanotoxins produced by benthic cyanobacteria, (3) standardized sampling and analysis protocols, and (4) increased technical cooperation between government, academia, industry, nonprofit organizations, and other stakeholders. Conclusions from this workshop can inform monitoring and management efforts for benthic cyanobacteria and their associated toxins.
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