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Weaving Frames  [PDF]
Travis Bemrose,Peter G. Casazza,Karlheinz Gr?chenig,Mark C. Lammers,Richard G. Lynch
Mathematics , 2015,
Abstract: We study an intriguing question in frame theory we call "Weaving Frames" that is partially motivated by preprocessing of Gabor frames. Two frames $\{\varphi_i\}_{i\in I}$ and $\{\psi_i \}_{i\in I}$ for a Hilbert space ${\mathbb H}$ are woven if there are constants $0
Weaving Schauder frames  [PDF]
Peter G. Casazza,Daniel Freeman,Richard G. Lynch
Mathematics , 2015,
Abstract: We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a Banach space, every weaving is an approximate Schauder frame if and only if there is a uniform constant $C\geq 1$ such that every weaving is a $C$-approximate Schauder frame. We also study weaving Schauder bases, where it is necessary to introduce two notions of weaving. On one hand, we can ask if two Schauder bases are woven when considered as Schauder frames with their biorthogonal functionals, and alternatively, we can ask if each weaving of two Schauder bases remains a Schauder basis. We will prove that these two notions coincide when all weavings are unconditional, but otherwise they can be different. Lastly, we prove two perturbation theorems for approximate Schauder frames.
Volume bounds for weaving knots  [PDF]
Abhijit Champanerkar,Ilya Kofman,Jessica S. Purcell
Mathematics , 2015,
Abstract: Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X.-S. Lin to be among the maximum volume knots for fixed crossing number. We provide the first asymptotically correct volume bounds for weaving knots, and we prove that the infinite weave is their geometric limit.
The Pedagogy of the Pedagogy of Music Appreciation  [cached]
Edward Hafer
Journal of Music History Pedagogy , 2012,
Abstract: The Pedagogy of Music Appreciation course at the University of Southern Mississippi is designed to prepare graduate students in music performance to teach music appreciation classes at the college level. This essay addresses the need for such a course, suggests ways to organize it, and offers reflections from both students and community members who benefited from the free Music Appreciation course administered by the pedagogy students. The course syllabus and sample assignments are also discussed.
Formal Models for Architecture Aspects and Their Weaving  [cached]
Chunhua Yang,Haiyang Wang
Journal of Software , 2008, DOI: 10.4304/jsw.3.9.52-59
Abstract: Aspect-oriented concepts are currently introduced in early stages of software development to achieve better separation of concerns. However, at the architecture level, there exists no strict model for aspects and their weaving, which makes it difficult for analyzing and reasoning about the semantic problems introduced in the composition of the aspects and the base system. We present a formal model to specify architecture aspects. Its underlying formalism is Process Algebra. In the model, an aspect is specified as an extended architecture model, in which aspect components encapsulate the function of the aspect while aspect connectors encapsulate the weaving logics of the aspect. The separation of weaving logics can promote reuse. Then, we give a formal definition for aspect weaving. The definition builds the structural and behavioral relationship between the woven and wove models, which lays foundations for future semantic analysis and reasoning. An example illustrates the notions and models.
Recent Developments in Rapier Weaving Machines in Textiles
American Journal of Systems Science , 2012, DOI: 10.5923/j.ajss.20120101.02
Abstract: This paper reviews the recent developments in rapier weaving and addresses the challenges that face the weaving industry. The paper sheds the light on how the weaving machine manufacturers and woven fabric producers might strengthen the weaving industry by further advanced the rapier technology with the help of electro-mechanics, electronics, microprocessors, information technology and their application to the production of woven fabrics.
Weaving in Ekiti Land, Nigeria: The Gender Perspective
Adeyinka Theresa Ajayi
Pakistan Journal of Social Sciences , 2012,
Abstract: Weaving in Nigeria is an ancient craft and the evolution of the weaving industry in the country, like in any part of the world, must have resulted from the effort of the people to device a means to produce coverings for their naked bodies. The value attached to clothing made weaving one of the earliest basic arts of civilization among the Yoruba people of South West Nigeria. This craft was based on gender and age. Different tasks in craft were undertaken by children, men and women. In Ekiti land, Eastern Yorubaland in Nigeria, there exist a weaving tradition quite different from what obtains in other part of Yorubaland. Basically, both men and women participate in the cloth weaving process in Yorubaland with the exception of Ekiti,where the existence of preponderance of skilled women weavers with their peculiar weaving technology obtains. Cloth weaving in Ekiti land is therefore, distinctly gendered so much that all attempts made even by the Colonial government to encourage the indigenous men to participate proved abortive. The main purpose of this study is to investigate women s role in weaving industry in Ekiti land. In this study, attempts are made to explore other factors that have contributed to the failure of all attempts made particularly by the Colonial government at encouraging Ekiti men to participate in weaving. The study also analysis, the reasons for the continued dominant role of women in weaving in this part of Nigeria. Other data used were collected through interviews with professional weavers and knowledgeable individuals, other supplementary data came from interviews with indigenous men and women. Data were collected from the National Archives, Ibadan, Nigeria.Weaving in Nigeria is an ancient craft and the evolution of the weaving industry in the country, like in any part of the world, must have resulted from the effort of the people to device a means to produce coverings for their naked bodies. The value attached to clothing made weaving one of the earliest basic arts of civilization among the Yoruba people of South West Nigeria. This craft was based on gender and age. Different tasks in craft were undertaken by children, men and women. In Ekiti land, Eastern Yorubaland in Nigeria, there exist a weaving tradition quite different from what obtains in other part of Yorubaland. Basically, both men and women participate in the cloth weaving process in Yorubaland with the exception of Ekiti,where the existence of preponderance of skilled women weavers with their peculiar weaving technology obtains. Cloth weaving in Ekiti land is therefore, distinctly gendered so much that all attempts made even by the Colonial government to encourage the indigenous men to participate proved abortive. The main purpose of this study is to investigate women s role in weaving industry in Ekiti land. In this study, attempts are made to explore other factors that have contributed to the failure of all attempts made particularly by the Colonial government
Mathematical Modeling of the Weaving Structure Design  [PDF]
Krasimir Yordzhev,Hristina Kostadinova
Computer Science , 2012,
Abstract: An equivalence relation in the set of all square binary matrices is described in this work. It is discussed a combinatoric problem about finding the cardinal number and the elements of the factor set according to this relation. We examine the possibility to get some special elements of this factor set. We propose an algorithm, which solves these problems. The results we have received are used to describe the topology of the different weaving structures.
The tribe Hippomaneae (Euphorbiaceae) in Brazil
Esser, Hans-Joachim;
Rodriguésia , 2012, DOI: 10.1590/S2175-78602012000100013
Abstract: the tribe hippomaneae (euphorbiaceae) in brazil. the tribe hippomaneae is discussed with respect to its taxonomic history, its placement within the euphorbiaceae, its diagnostic characters (particularly the floral buds), current data on phylogeny and subdivision, and its general pattern of diversity. the tribe is represented in brazil with 13 genera and ca. 120 species. a key to the brazilian genera is provided. all brazilian genera are discussed, citing relevant characters, recent taxonomic literature, and the current state of knowledge, sometimes pointing to unresolved problems. for five of the genera, published revisions exist; six genera have unpublished but completed revisions or are currently under revision. actinostemon and gymnanthes are currently the most difficult genera, mostly based on the absence of available up-to-date taxonomic references. for mabea and senefeldera, two genera with completed but currently unpublished revisions, additional data are given on aspects of their taxonomy, ecology and biogeography.
Research on the Behavior Characteristics of Pedestrian Crowd Weaving Flow in Transport Terminal
Liya Yao,Lishan Sun,Zhiyong Zhang,Shuwei Wang,Jian Rong
Mathematical Problems in Engineering , 2012, DOI: 10.1155/2012/264295
Abstract: Due to the poor transfer organization in urban public transport terminal, pedestrian crowd are often forced to weaving in their transfer flow lines. Frequent weaving behaviors not only decrease passengers’ transfer comfort, but may also trigger serious crowd disaster such as trampling. In order to get accurate understanding of the weaving features of pedestrian crowd and analyze the relevant evolution law, researches have been conducted on the basis of field investigation. First, the typical weaving phenomenon were defined and classified, and a microscopic parameters system of pedestrian crowd weaving flow was constructed. The detection and quantification methods of multiple indicator parameters were also given. Then, correlation between different behavioral parameters was analyzed based on the survey data of weaving pedestrian crowd on the stairs of DongZhiMen (DZM) hub. The basic characteristics and evolution law of the weaving behaviors were then discussed, and conclusions were drawn.
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