Relevant bibliographies by topics / Packing dimension

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

Academic literature on the topic 'Packing dimension'

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

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Journal articles on the topic "Packing dimension"

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STÄGER, D. V., and H. J. HERRMANN. "CUTTING SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS." Fractals 26, no. 01 (February 2018): 1850013. http://dx.doi.org/10.1142/s0218348x18500135.

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Any space-filling packing of spheres can be cut by a plane to obtain a space-filling packing of disks. Here, we deal with space-filling packings generated using inversive geometry leading to exactly self-similar fractal packings. First, we prove that cutting along a random hyperplane leads in general to a packing with a fractal dimension of the one of the uncut packing minus one. Second, we find special cuts which can be constructed themselves by inversive geometry. Such special cuts have specific fractal dimensions, which we demonstrate by cutting a three- and a four-dimensional packing. The increase in the number of found special cuts with respect to a cutoff parameter suggests the existence of infinitely many topologies with distinct fractal dimensions.
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Conidis, Chris J. "A real of strictly positive effective packing dimension that does not compute a real of effective packing dimension one." Journal of Symbolic Logic 77, no. 2 (June 2012): 447–74. http://dx.doi.org/10.2178/jsl/1333566632.

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AbstractRecently, the Dimension Problem for effective Hausdorff dimension was solved by J. Miller in [14], where the author constructs a Turing degree of non-integral Hausdorff dimension. In this article we settle the Dimension Problem for effective packing dimension by constructing a real of strictly positive effective packing dimension that does not compute a real of effective packing dimension one (on the other hand, it is known via [10. 3. 7] that every real of strictly positive effective Hausdorff dimension computes reals whose effective packing dimensions are arbitrarily close to, but not necessarily equal to, one).
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MATTILA, PERTTI, and R. DANIEL MAULDIN. "Measure and dimension functions: measurability and densities." Mathematical Proceedings of the Cambridge Philosophical Society 121, no. 1 (January 1997): 81–100. http://dx.doi.org/10.1017/s0305004196001089.

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During the past several years, new types of geometric measure and dimension have been introduced; the packing measure and dimension, see [Su], [Tr] and [TT1]. These notions are playing an increasingly prevalent role in various aspects of dynamics and measure theory. Packing measure is a sort of dual of Hausdorff measure in that it is defined in terms of packings rather than coverings. However, in contrast to Hausdorff measure, the usual definition of packing measure requires two limiting procedures, first the construction of a premeasure and then a second standard limiting process to obtain the measure. This makes packing measure somewhat delicate to deal with. The question arises as to whether there is some simpler method for defining packing measure and dimension. In this paper, we find a basic limitation on this possibility. We do this by determining the descriptive set-theoretic complexity of the packing functions. Whereas the Hausdorff dimension function on the space of compact sets is Borel measurable, the packing dimension function is not. On the other hand, we show that the packing dimension functions are measurable with respect to the σ-algebra generated by the analytic sets. Thus, the usual sorts of measurability properties used in connection with Hausdorff measure, for example measures of sections and projections, remain true for packing measure.
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Das, Manav. "Billingsley's packing dimension." Proceedings of the American Mathematical Society 136, no. 01 (January 1, 2008): 273–79. http://dx.doi.org/10.1090/s0002-9939-07-09069-7.

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FALCONER, K. J., and J. D. HOWROYD. "Packing dimensions of projections and dimension profiles." Mathematical Proceedings of the Cambridge Philosophical Society 121, no. 2 (March 1997): 269–86. http://dx.doi.org/10.1017/s0305004196001375.

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Myjak, Józef. "Some typical properties of dimensions of sets and measures." Abstract and Applied Analysis 2005, no. 3 (2005): 239–54. http://dx.doi.org/10.1155/aaa.2005.239.

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This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff dimension, box dimension, correlation dimension, concentration dimension, and local dimension of measures.
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HOWROYD, J. D. "Box and packing dimensions of projections and dimension profiles." Mathematical Proceedings of the Cambridge Philosophical Society 130, no. 1 (January 2001): 135–60. http://dx.doi.org/10.1017/s0305004100004849.

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For E a subset of ℝn and s ∈ [0, n] we define upper and lower box dimension profiles, B-dimsE and B-dimsE respectively, that are closely related to the box dimensions of the orthogonal projections of E onto subspaces of ℝn. In particular, the projection of E onto almost all m-dimensional subspaces has upper box dimension B-dimmE and lower box dimension B-dimmE. By defining a packing type measure with respect to s-dimensional kernels we are able to establish the connection to an analogous packing dimension theory.
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FALCONER, K. J., and M. JÄRVENPÄÄ. "Packing dimensions of sections of sets." Mathematical Proceedings of the Cambridge Philosophical Society 125, no. 1 (January 1999): 89–104. http://dx.doi.org/10.1017/s0305004198002977.

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We obtain a formula for the essential supremum of the packing dimensions of the sections of sets parallel to a given subspace. This depends on a variant of packing dimension defined in terms of local projections of sets.
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Kontorovich, Alex, and Kei Nakamura. "Geometry and arithmetic of crystallographic sphere packings." Proceedings of the National Academy of Sciences 116, no. 2 (December 26, 2018): 436–41. http://dx.doi.org/10.1073/pnas.1721104116.

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We introduce the notion of a “crystallographic sphere packing,” defined to be one whose limit set is that of a geometrically finite hyperbolic reflection group in one higher dimension. We exhibit an infinite family of conformally inequivalent crystallographic packings with all radii being reciprocals of integers. We then prove a result in the opposite direction: the “superintegral” ones exist only in finitely many “commensurability classes,” all in, at most, 20 dimensions.
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PÖTZELBERGER, KLAUS. "The quantization dimension of distributions." Mathematical Proceedings of the Cambridge Philosophical Society 131, no. 3 (November 2001): 507–19. http://dx.doi.org/10.1017/s0305004101005357.

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We show that the asymptotic behaviour of the quantization error allows the definition of dimensions for probability distributions, the upper and the lower quantization dimension. These concepts fit into standard geometric measure theory, as the upper quantization dimension is always between the packing and the upper box-counting dimension, whereas the lower quantization dimension is between the Hausdorff and the lower box-counting dimension.
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Dissertations / Theses on the topic "Packing dimension"

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Spear, Donald W. "Hausdorff, Packing and Capacity Dimensions." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc330990/.

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In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euclidean space R^. Also the lower entropy dimension is calculated for some Cantor sets. By incorporating technics of Munroe and of Saint Raymond and Tricot, outer measures are created. A Vitali covering theorem for packings is proved. Methods (by Taylor and Tricot, Kahane and Salem, and Schweiger) for determining the Hausdorff and capacity dimensions of sets using probability measures are discussed and extended. The packing pre-measure and measure are shown to be scaled after an affine transformation. A Cantor set constructed by L.D. Pitt is shown to be dimensionless using methods developed in this thesis. A Cantor set is constructed for which all four dimensions are different. Graph directed constructions (compositions of similitudes follow a path in a directed graph) used by Mauldin and Willjams are presented. Mauldin and Williams calculate the Hausdorff dimension, or, of the object of a graph directed construction and show that if the graph is strongly connected, then the a—Hausdorff measure is positive and finite. Similar results will be shown for the packing dimension and the packing measure. When the graph is strongly connected, there is a constant so that the constant times the Hausdorff measure is greater than or equal to the packing measure when a subset of the realization is evaluated. Self—affine Sierpinski carpets, which have been analyzed by McMullen with respect to their Hausdorff dimension and capacity dimension, are analyzed with respect to their packing dimension. Conditions under which the Hausdorff measure of the construction object is positive and finite are given.
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Souissi, Salma. "Problème du Bin Packing probabiliste à une dimension." Versailles-St Quentin en Yvelines, 2006. http://www.theses.fr/2006VERS0052.

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Le Problème de Bin Packing Probabiliste (PBPP) tient compte de la disparition de certains objets après avoir été placés dans les boîtes. Le problème consiste à réarranger les objets restants en utilisant la solution a priori. L’arrangement initial est effectué en utilisant l’heuristique Next Fit Decreasing (NFD). Nous considérons deux stratégies de résolution: la stratégie de redistribution suivant NFD et la stratégie a priori. Dans la première, l’algorithme Next Fit est appliqué à la nouvelle liste. Dans la seconde, des groupes successives de boîtes sont réarrangés d’une façon optimale. Dans les deux cas, nous développons une analyse en moyenne pour le PBPP. Nous prouvons la loi des grands nombres et le théorème central limite pour le nombre de boîtes obtenu par chacune de ces stratégies quand le nombre d’objets initial tend vers l’infini. Nous vérifions ces résultats théoriques par simulation
In the Probabilistic Bin Packing Problem (PBPP) the random deletion of some items once placed into bins. The problem is to rearrange the residual items, using the a priori solution. The initial arrangement being done with the Next Fit Decreasing Heuristic (NFD). We propose two resolution methodologies: the redistribution strategy according to NFD and the a priori strategy. In the first one, the Next fit algorithm is applied to the new list. In the second one, successive groups of bins are optimally rearranged. In both cases, we develop an average case analysis for the (PBPP). We prove the law of large numbers and the central limit theorem for the number of occupied bins as the initial number of items tends to infinity. We verify these theoretical results by simulation
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Berlinkov, Artemi. "Dimensions in Random Constructions." Thesis, University of North Texas, 2002. https://digital.library.unt.edu/ark:/67531/metadc3160/.

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We consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.
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Nilsson, Anders. "Dimensions and projections." Licentiate thesis, Umeå University, Mathematics and Mathematical Statistics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-939.

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This thesis concerns dimensions and projections of sets that could be described as fractals. The background is applied problems regarding analysis of human tissue. One way to characterize such complicated structures is to estimate the dimension. The existence of different types of dimensions makes it important to know about their properties and relations to each other. Furthermore, since medical images often are constructed by x-ray, it is natural to study projections.

This thesis consists of an introduction and a summary, followed by three papers.

Paper I, Anders Nilsson, Dimensions and Projections: An Overview and Relevant Examples, 2006. Manuscript.

Paper II, Anders Nilsson and Peter Wingren, Homogeneity and Non-coincidence of Hausdorff- and Box Dimensions for Subsets of ℝn, 2006. Submitted.

Paper III, Anders Nilsson and Fredrik Georgsson, Projective Properties of Fractal Sets, 2006. To be published in Chaos, Solitons and Fractals.

The first paper is an overview of dimensions and projections, together with illustrative examples constructed by the author. Some of the most frequently used types of dimensions are defined, i.e. Hausdorff dimension, lower and upper box dimension, and packing dimension. Some of their properties are shown, and how they are related to each other. Furthermore, theoretical results concerning projections are presented, as well as a computer experiment involving projections and estimations of box dimension.

The second paper concerns sets for which different types of dimensions give different values. Given three arbitrary and different numbers in (0,n), a compact set in ℝn is constructed with these numbers as its Hausdorff dimension, lower box dimension and upper box dimension. Most important in this construction, is that the resulted set is homogeneous in the sense that these dimension properties also hold for every non-empty and relatively open subset.

The third paper is about sets in space and their projections onto planes. Connections between the dimensions of the orthogonal projections and the dimension of the original set are discussed, as well as the connection between orthogonal projection and the type of projection corresponding to realistic x-ray. It is shown that the estimated box dimension of the orthogonal projected set and the realistic projected set can, for all practical purposes, be considered equal.

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Inui, Kanji. "Study of the fractals generated by contractive mappings and their dimensions." Kyoto University, 2020. http://hdl.handle.net/2433/253370.

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Kyoto University (京都大学)
0048
新制・課程博士
博士(人間・環境学)
甲第22534号
人博第937号
新制||人||223(附属図書館)
2019||人博||937(吉田南総合図書館)
京都大学大学院人間・環境学研究科共生人間学専攻
(主査)教授 角 大輝, 教授 上木 直昌, 准教授 木坂 正史
学位規則第4条第1項該当
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Leifsson, Patrik. "Fractal sets and dimensions." Thesis, Linköping University, Department of Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-7320.

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Fractal analysis is an important tool when we need to study geometrical objects less regular than ordinary ones, e.g. a set with a non-integer dimension value. It has developed intensively over the last 30 years which gives a hint to its young age as a branch within mathematics.

In this thesis we take a look at some basic measure theory needed to introduce certain definitions of fractal dimensions, which can be used to measure a set's fractal degree. Comparisons of these definitions are done and we investigate when they coincide. With these tools different fractals are studied and compared.

A key idea in this thesis has been to sum up different names and definitions referring to similar concepts.

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Snigireva, Nina. "Inhomogeneous self-similar sets and measures." Thesis, St Andrews, 2008. http://hdl.handle.net/10023/X682.

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Joyce, Helen Janeith. "Packing measures, packing dimensions, and the existence of sets of positive finite measure." Thesis, University College London (University of London), 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307030.

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DO, CARMO SÁ AZEVEDO LEMOS MARGARIDA. "O Design de embalagem como síntese formal e expressiva do conteúdo." Doctoral thesis, Universitat Politècnica de València, 2016. http://hdl.handle.net/10251/61438.

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[EN] Packaging is a permanent presence and takes a significant expression in daily life, it contains, protects, informs and gives character to the products, establishing an inseparable relationship between content and container. This research focused on formal, material and communicative packaging aspects of liquid food products, performs a mapping of the issues related to the interrelation of practical functions (performance for the user), aesthetic (configuration and interaction with the user) and symbolic (significance to the user) from the liquid food packages, having as confluence point the relationship content/ product container in the set of interactions/ user/ environment. Seen as an interface between the product and the user, the packaging of liquid food products, occupies an essential place in our society, allowing an uncountable number of products to reach the hands of those who need them, intact and in perfect condition. The package preserves the physical and temporal natural products, covering them and giving them shape, becoming a product skin like the skin of the fruit or human skin, prolonging their existence, with direct health benefits and well being of the populations. This thesis has as study object the packaging of liquid food products and how its shape expresses its identity, the concept and function of the product it contains and conforms. This research resorted to analytical studies, based on the reflections of Flusser and Lipovetsky, around the man and his relationship to the object and conducted the identification and recognition of archetypal packaging in the universe of reference products (milk, juice, water and hybrid drinks), as well as the morphological and qualitative comparative analysis of liquid food packaging in different materials (glass, multilayer cardboard, metal, plastic), having as a study focus the inseparable relationship between the content and the container. This study resulted in the achievement of Tetra Con)forma project goal so that provided the constructive possibilities of the multilayer material for forming a packagings for hybrid liquid drinks, emphasizing the concepts of nomadism (portability), customization (composition) and theatricality (convertibility), wherein the shape is expressed by the structural dimension portability, in the communicative by the composition and in the symbolic by convertibility.
[ES] El envase es una presencia permanente y asume una expresión significativa en lo cotidiano, al contener, proteger, informar y conferir carácter a los productos estableciendo una relación indisociable entre el contenido y el contenedor. Esta investigación centrada en los aspectos formales, materiales y comunicativos de los envases de productos alimenticios líquidos, efectúa un mapeado de las cuestiones relacionadas con la interrelación de las funciones prácticas (desempeño para el usuario), estéticas (configuración e interacción con el usuario) y simbólicas (significado para el usuario) de los envases de productos líquidos alimenticios teniendo como punto de convergencia la relación contenido/ contenedor en el conjunto de las interacciones producto/ usuario/ medio. Concebida como interfaz entre el producto y el usuario, el envase de productos líquidos alimentícios ocupa un lugar esencial en nuestra sociedad, permitiendo que un sin número de productos llegue a manos de aquellos que los necesitan, intactos y perfectas condiciones de uso. El envase preserva la integridad física y temporal de los productos naturales, recubriéndolos y dándoles forma, transformándose en una piel del producto a semejanza de la piel de la fruta o de la piel humana, prolongando su existencia, con beneficios directos para la salud y bienestar de la población. La presente tesis tiene por objeto de estudio el envase de productos líquidos alimentícios y el modo en el que su forma expresa la identidad, el concepto y la función del producto que contiene y conforma. Esta investigación provino de estudios analíticos, fundamentados en las reflexiones de Flusser y Lipovetsky en torno al hombre y a su relación con el objeto y procedió a la identificación y reconocimiento de envases arquetipo en el universo de productos de referencia (leche, zumos, agua y bebidas híbridas), así como el análisis morfológico comparado y cualitativo de los envases de productos líquidos alimentícios en los diferentes materiales (vidrio, cartón multicapa, metal, plástico), teniendo como foco de estudio la relación indisociable entre el contenido y el contenedor. Este estudio culminó con la realización del meta proyecto Tetra Con)forma, que previó las posibilidades constructivas del material multicapa para conformar un volumen con)formador para bebidas líquidas híbridas, enfatizando los conceptos de nomadismo (portabilidad), personalización (composición) y teatralidad (convertibilidad), en que se expresa la forma en la dimensión estructural por la portabilidad, en la comunicativa por la composición y en la simbólica por la convertibilidad.
[CAT] L'envàs és una presència permanent i assumeix una expressió significativa el quotidià, en contenir, protegir, informar i conferir caràcter als productes establint una relació indissociable entre el contingut i el contenidor. Aquesta recerca centrada en els aspectes formals, materials i comunicatius dels envasos de productes alimentosos líquids, efectua una localització de les qüestions relacionades amb la correspondència de les funcions pràctiques (acompliment per a l'usuari), estètiques (configuració i interacció amb l'usuari) i simbòliques (significat per a l'usuari) dels envasos de productes líquids alimentosos tenint com a punt de convergència la relació contingut/ contenidor en el conjunt de les interacciones producte/ usuari/ mitjà. Concebuda com a interfície entre el producte i l'usuari, l'envàs de productes líquids alimentosos ocupa un lloc essencial en la nostra societat, permetent que un sense nombre de productes arriben a les mans d'aquells que els necessiten, intactes i perfectes condicions d'ús. L'envàs preserva la integritat física i temporal dels productes naturals, recobrint-los i donant-los forma, transformant-se en una pell del producte a semblança de la pell de la fruita o de la pell humana, perllongant la seua existència, amb beneficis directes per a la salut i benestar de la població. La present tesi té per objecte d'estudi l'envàs de productes líquids alimentosos i la manera en el qual la seua forma expressa la identitat, el concepte i la funció del producte que conté i conforma. Aquesta recerca va provenir d'estudis analítics, fonamentats en les reflexions de Flusser i Lipovetsky entorn de l'home i a la seua relació amb l'objecte i va procedir a la identificació i reconeixement d'envasos arquetip en l'univers de productes de referència (llet, sucs, aigua i begudes híbrides), així com l'anàlisi morfològica comparada i qualitatiu dels envasos de productes líquids alimentosos en els diferents materials (vidre, cartó multicapa, metall, plàstic), tenint com a focus d'estudi la relació indissociable entre el contingut i el contenidor. Aquest estudi va culminar amb la realització del meta projecte Tetra Amb)forma, que va preveure les possibilitats constructives del material multicapa per a conformar un volum amb)formador per a begudes líquides híbrides, emfatitzant els conceptes de nomadisme (portabilitat), personalització (composició) i teatralitat (convertibilitat), en què s'expressa la forma en la dimensió estructural per la portabilitat, en la comunicativa per la composició i en la simbòlica per la convertibilitat.
Do Carmo Sá Azevedo Lemos, M. (2016). O Design de embalagem como síntese formal e expressiva do conteúdo [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/61438
TESIS
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Dickinson, John Kenneth. "Packing subsets of arbitrary three-dimensional objects." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0012/NQ42508.pdf.

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Books on the topic "Packing dimension"

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Csirik, J. Two dimensional rectangle packing: On-line methods and results. Brussels: European Institute for Advanced Studies in Management, 1990.

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Sabbadin, E. Merchandising, packaging e promozione: Le nuove dimensioni della concorrenza verticale. Milano: Franco Angeli, 1991.

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Tuenter, Hans J. H. Worst-case bounds for bin-packing heuristics with applications to the duality gap of the one-dimensional cutting stock problem. Birmingham: University of Birmingham, 1996.

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Electrical modeling and design for 3D integration: 3D integrated circuits and packaging signal integrity, power integrity, and EMC. Hoboken, N.J: Wiley-IEEE Press, 2011.

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3D IC stacking technology. New York: McGraw-Hill Professional, 2011.

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Barg, Alexander, and O. R. Musin. Discrete geometry and algebraic combinatorics. Providence, Rhode Island: American Mathematical Society, 2014.

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PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011 Messina, Italy). Fractal geometry and dynamical systems in pure and applied mathematics. Edited by Carfi David 1971-, Lapidus, Michel L. (Michel Laurent), 1956-, Pearse, Erin P. J., 1975-, Van Frankenhuysen Machiel 1967-, and Mandelbrot Benoit B. Providence, Rhode Island: American Mathematical Society, 2013.

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Kieffer, David. Introduction To Dimensional Weight In Quality Dimensions. Xlibris Corporation, 2004.

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Fortescue, Michael. What are the Limits of Polysynthesis? Edited by Michael Fortescue, Marianne Mithun, and Nicholas Evans. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199683208.013.14.

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Of the various labels for morphological types currently in use by typologists ‘polysynthesis’ has proved to be the most difficult to pin down. For some it just represents an extreme on the dimension of synthesis (one of Sapir’s two major typological axes), while for others it is an independent category or parameter involving incorporation and bound pronominals with far-reaching morphosyntactic ramifications. If the nub of polysynthesis is the packing of a lot of material into single verb forms that would be expressed as independent words in less synthetic languages, what exactly is the nature of and limitations on this ‘material’? This chapter investigates the limits—both upwards and downwards—of what the term is generally understood to cover and suggests a rule-of-thumb definition. Cognitive constraints on its maximal extent are also considered.
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A Three-Dimensional 463L Pallet Packing Model and Algorithm. Storming Media, 1998.

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Book chapters on the topic "Packing dimension"

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Høyland, Sven-Olai. "Bin-packing in 1.5 dimension." In SWAT 88, 129–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/3-540-19487-8_14.

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Arvind, Vikraman, Frank Fuhlbrück, Johannes Köbler, and Oleg Verbitsky. "On the Weisfeiler-Leman Dimension of Fractional Packing." In Language and Automata Theory and Applications, 357–68. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40608-0_25.

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Truong, Cong Tan Trinh, Lionel Amodeo, and F. Yalaoui. "A Genetic Algorithm for the Three-Dimensional Open Dimension Packing Problem." In Communications in Computer and Information Science, 203–15. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-85672-4_15.

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Yaskov, G., T. Romanova, I. Litvinchev, and S. Shekhovtsov. "Optimal Packing Problems: From Knapsack Problem to Open Dimension Problem." In Advances in Intelligent Systems and Computing, 671–78. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33585-4_65.

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Truong, Cong-Tan-Trinh, Lionel Amodeo, and Farouk Yalaoui. "A Mathematical Model for Three-Dimensional Open Dimension Packing Problem with Product Stability Constraints." In Communications in Computer and Information Science, 241–54. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41913-4_20.

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Rosenberg, Eric. "Hausdorff, Similarity, and Packing Dimensions." In Fractal Dimensions of Networks, 83–106. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43169-3_5.

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Azar, Yossi, and Leah Epstein. "On two dimensional packing." In Algorithm Theory — SWAT'96, 321–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61422-2_142.

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Scheithauer, Guntram. "One-Dimensional Bin Packing." In Introduction to Cutting and Packing Optimization, 47–72. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64403-5_3.

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Scheithauer, Guntram. "Two-Dimensional Bin Packing." In Introduction to Cutting and Packing Optimization, 227–44. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64403-5_8.

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Lodi, Andrea, Silvano Martello, Michele Monaci, and Daniele Vigo. "Two-Dimensional Bin Packing Problems." In Paradigms of Combinatorial Optimization, 107–29. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118600207.ch5.

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Conference papers on the topic "Packing dimension"

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Asta, Shahriar, Ender Özcan, and Andrew J. Parkes. "Dimension reduction in the search for online bin packing policies." In Proceeding of the fifteenth annual conference companion. New York, New York, USA: ACM Press, 2013. http://dx.doi.org/10.1145/2464576.2464620.

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Cha´vez, Rosa H., Javier de J. Guadarrama, Osbaldo Pe´rez, and Abel Herna´ndez-Guerrero. "Influence of the Cross Sectional Area of a Separation Column Using Structured Packing." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-43918.

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In order to determine the dimension of a separation column, hydrodynamic and mass transfer models are necessary to evaluate the pressure drop and the height of the global mass transfer unit, respectively. Those parameters are a function of the cross sectional area of the column. The present work evaluates the dependency of the pressure drop and height of the global transfer unit with respect to the cross sectional area of the column, using an absorption column with high efficiency structured packing, in order to recover SO2 in the form of NaHSO3, as an example. An optimization was done applying Two Film model which is based on the number of global mass transfer units of both gas and liquid, involving the separation efficiency in terms of the height of a global transfer unit. Structured packing, geometrically heaped in a separation column, has been achieving wider acceptance in the separation processes due to their geometric characteristics that allow them to have greater efficiency in the separation processes. Three different structured packing were evaluated in this work. The results show how ININ packing is one of the packings does the best work having the highest separation efficiency because it has the lowest height of the global mass transfer unit and Mellapak packing has the largest capacity because it manages the largest liquid and gas flows. An analysis is done with respect to the pressure drop through the system for all packings considered, and a discussion is presented for each hydrodynamic and mass transfer parameter studied.
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Pérez, Joaquín, Hilda Castillo, Darnes Vilariño, José C. Zavala, Rafael De la Rosa, and Jorge A. Ruiz-Vanoye. "A hybrid algorithm with reduction criteria for the bin packing problem in one dimension." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4913022.

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Shi, Yu, and Yuwen Zhang. "Simulation of Random Packing of Spherical Particles With Different Size Distributions." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-15271.

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A numerical model for a loose packing process of spherical particles is presented. The simulation model starts with randomly choosing a sphere according to a pre-generated continuous particle-size distribution, and then dropping the sphere into a dimension-specified box, and obtaining its final position by using dropping and rolling rules which are derived from similar physical process of spheres dropping in the gravitational field to minimize its gravity potential. Effects of three different particle-size distributions on the packing structure were investigated. Analysis on the physical background of the powder-based manufacturing process is additionally applied to produce optimal packing parameters of bimodal and Gaussian distributions to improve the quality of the fabricated parts. The results showed that higher packing density can be obtained using bimodal size distribution with particle-size ratio from 1.5 to 2.0 and the mixture composition around n2:n1=6:4. For particle size with a Gaussian distribution, the particle radii should be limited in a narrow range around 0.67 to 1.5.
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Li, Jian-hua, Hui Chen, and Lina Ren. "A Novel Clone Selection Algorithm and its Application for Three Dimension Bin Packing Problem of Web Mode." In 2010 Third International Joint Conference on Computational Science and Optimization. IEEE, 2010. http://dx.doi.org/10.1109/cso.2010.169.

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Wang, Hui, Yong-Peng Lei, Zhao-Ran Xiao, and Li Chen. "The influence of packing dimension on the effective thermal properties of doubly-periodic composites by using super hybrid finite body elements." In BEM36. Southampton, UK: WIT Press, 2013. http://dx.doi.org/10.2495/bem360271.

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Yuksel, Anil, Michael Cullinan, and Jayathi Murthy. "Thermal Energy Transport Below the Diffraction Limit in Close-Packed Metal Nanoparticles." In ASME 2017 Heat Transfer Summer Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/ht2017-4968.

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Fabrication of micro and nanoscale electronic components has become increasingly demanding due to device and interconnect scaling combined with advanced packaging and assembly for electronic, aerospace and medical applications. Recent advances in additive manufacturing have made it possible to fabricate microscale, 3D interconnect structures but heat transfer during the fabrication process is one of the most important phenomena influencing the reliable manufacturing of these interconnect structures. In this study, optical absorption and scattering by three-dimensional (3D) nanoparticle packings are investigated to gain insight into micro/nano heat transport within the nanoparticles. Because drying of colloidal solutions creates different configurations of nanoparticles, the plasmonic coupling in three different copper nanoparticle packing configurations were investigated: simple cubic (SC), face-centered cubic (FCC) and hexagonal close packing (HCP). Single-scatter albedo (ω) was analyzed as a function of nanoparticle size, packing density, and configuration to assess effect for thermo-optical properties and plasmonic coupling of the Cu nanoparticles within the nanoparticle packings. This analysis provides insight into plasmonically enhanced absorption in copper nanoparticle particles and its consequences for laser heating of nanoparticle assemblies.
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Guidea, Sorin, and T. J. Nye. "Automated Optimal Design for Manufacturability of Sheet/Plate Assemblies." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81508.

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A wide variety of products are manufactured from raw materials that are in the form of sheets or plates. Once the product is designed, parts are unfolded or flattened into flat blanks, which are nested onto the raw material for cutting. Optimization of nesting and packing problems has been an active research field for many years, and many good algorithms have been created. These algorithms have a fundamental limitation, however, in that they assume the set of blanks to be nested is fixed. In this work we relax this assumption, and by linking a parametric CAD system, a part-unfolding module and a sheet-nesting module that all intercommunicate, nests are created which maintain the parametric dimensions of the assembled product. Given a nest of the set of required blanks, dimensions of the blanks are optimized for a particular objective, such as maximizing raw material utilization or minimizing total use of raw material, subject to assembly, part dimension, part and blank dimension constraints. Once optimized, these blank dimensions are returned to the CAD system to update the product model. Through the use of this system, a designer can simultaneously optimize all the dimensions within a product to minimize manufacturing costs early in the design phase while maintaining acceptable product performance. This paper will demonstrate a prototype of this DFM system, discuss issues such as performance improvement through randomized trials, and suggest how additional design objectives (e.g., strength to weight ratio, stiffness, etc.) can be integrated with the reduced manufacturing cost objective.
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Muzychka, Y. S. "Constructal Design of Forced Convection Cooled Microchannel Heat Sinks and Heat Exchangers." In ASME 3rd International Conference on Microchannels and Minichannels. ASMEDC, 2005. http://dx.doi.org/10.1115/icmm2005-75025.

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Heat transfer from arrays of circular and non-circular ducts subject to finite volume and constant pressure drop constraints is examined. It is shown that the optimal duct dimension is independent of the array structure and hence represents an optimal construction element. Solutions are presented for the optimal duct dimensions and maximum heat transfer per unit volume for the parallel plate channel, rectangular channel, elliptic duct, circular duct, polygonal ducts, and triangular ducts. Approximate analytical results show that the optimal shape is the isosceles right triangle and square duct due to their ability to provide the most efficient packing in a fixed volume. Whereas a more exact analysis reveals that the parallel plate channel array is in fact the superior system. An approximate relationship is developed which is very nearly a universal solution for any duct shape in terms of the Bejan number and duct aspect ratio. Finally, validation of the relationships is provided using exact results from the open literature.
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Hong, Y. E., and M. T. T. We. "The Application of Novel Failure Analysis Techniques and Defect Modeling in Eliminating Short Poly End-Cap Problem in Submicron CMOS Devices." In ISTFA 1996. ASM International, 1996. http://dx.doi.org/10.31399/asm.cp.istfa1996p0165.

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Abstract As transistor dimension shrinks down below submicron to cater for higher speed and higher packing density, it is very important to characterize the shrinkage carefully to avoid unwanted parametric problems. Leakage current across short poly end-cap is a new failure mechanism that falls in this category and was for the first time, uncovered in submicron multilayered CMOS devices. This mechanism was responsible for a systematic yield problem; identified as the 'centre wafer striping' functional failure problem. This paper presents the advanced failure analysis techniques and defect modeling used to narrow down and identify this new mechanism. Post process change by loosening the marginal poly end-cap criteria eliminated the problem completely.
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