When a Fabric Hangs together

Clapham, C. R. J.

doi:10.1112/blms/12.3.161

Cited by 26 publications

(23 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…- A. more restrIctIve procedure for testing weavability of a single-ply weave can be seen - (Clapham, 1980), but Equation 3 and Equation allow for the testing of compound structures like tubular structures and double-and multi-ply fabrics, disregarding the selvedge, as usual (Goerner, 1989;Kipp, 1989). …”

Section: Weavability Number Of Shaftsmentioning

confidence: 99%

Weaving Process and Boolean Algebra

Osselin¹,

Dréan²

2004

Research Journal of Textile and Apparel

View full text Add to dashboard Cite

If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation.

show abstract

Section: Weavability Number Of Shaftsmentioning

confidence: 99%

Weaving Process and Boolean Algebra

Osselin¹,

Dréan²

2004

Research Journal of Textile and Apparel

View full text Add to dashboard Cite

show abstract

“…An interesting question is whether fabric woven on a loom and then removed from the loom will remain in one layer or, as weavers might say, whether it "hangs together". This question has been considered independently by C l a p h a m [2] and D e l a n e y [6]. It follows from results in [6] that any balanced binary sequential array, considered as a fabric, can be woven so that it hangs together, but not necessarily with all warp threads black and all weft threads white.…”

mentioning

confidence: 94%

“…Similar arguments apply to the 1s, so the minimum period of the sequence must be 20. Note that the sequence could be type (3,4,3) in one symbol and type (4,2,4) A finite sequence is primitive if it is not the concatenation of k identical sequences each of length n/k for some k which divides n. For instance, (0,1,0,0,2) is primitive but (1,1) and (0,1,0,1) are not primitive. If a periodic sequence has period n, then it also has period jn where j is any positive integer.…”

mentioning

confidence: 99%

An introduction to balanced sequential arrays on the square grid

Street

Nester²

2009

Mathematica Slovaca

View full text Add to dashboard Cite

Plants grown in large numbers for commercial purposes are usually set out on a regular grid, triangular, square or hexagonal, or possibly a rectangular grid. We need to understand their behaviour when they compete with each other for light, water and nutrients. In a greenhouse, there may be a lamp over each plant, half the plants having their lamps on and half off. The intensity of light falling on any particular plant is determined mainly by whether its own lamp is on, next by the number of its nearest neighbours whose lamps are on, and perhaps also by the number of its second-nearest neighbours whose lamps are on.Such arrays are also used to study competition among different types of plants and, with some extra restrictions, to design field layouts as well. The problem of constructing suitable arrays was introduced in [CORMACK, R. M.: Spatial aspects of competition beween individuals. In: Spatial and Temporal Analysis in Ecology (R. M. Cormack and J. K. Ord, eds.), International Co-operative Publishing House, Fairland, Maryland, USA, 1979] and discussed in [GATES, D. J.: Competition between two types of plants with specified neighbour configurations, Math. Biosci. 48 (1980), 195–209]. Here we consider only the square grid.

show abstract

“…This has already been done by C. R. J. Clapham [2] for the case when the strands go in only two directions. This, in turn, determines whether the fabric hangs together; that is, whether the strands can be partitioned into two nonempty collections, with none of the members of one passing under any of the members of the other.…”

mentioning

confidence: 95%