Tame Boundary Sets of Crumpled Cubes in E 3

1970 ◽  
Vol 25 (2) ◽  
pp. 377
Author(s):  
F. M. Lister
Keyword(s):  
Boundary Sets

Some Mapping Theorems for the Classes An, m and the Boundary Sets

1999 ◽  
Vol 79 (1) ◽  
pp. 222-240
Author(s):  
G. Cassier ◽  
I. Chalendar ◽  
B. Chevreau
Keyword(s):  
Boundary Sets

scholarly journals A method for classification of red, blue, and green galaxies using fuzzy set theory

2020 ◽  
Vol 499 (1) ◽  
pp. L31-L35
Author(s):  
Biswajit Pandey
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Sloan Digital Sky Survey ◽  
Sky Survey ◽  
Blue Galaxies ◽  
Boundary Sets ◽  
Red Galaxies

ABSTRACT Red and blue galaxies are traditionally classified using some specific cuts in colour or other galaxy properties, which are supported by empirical arguments. The vagueness associated with such cuts are likely to introduce a significant contamination in these samples. Fuzzy sets are vague boundary sets that can efficiently capture the classification uncertainty in the absence of any precise boundary. We propose a method for classification of galaxies according to their colours using fuzzy set theory. We use data from the Sloan Digital Sky Survey (SDSS) to construct a fuzzy set for red galaxies with its members having different degrees of ‘redness’. We show that the fuzzy sets for the blue and green galaxies can be obtained from it using different fuzzy operations. We also explore the possibility of using fuzzy relation to study the relationship between different galaxy properties and discuss its strengths and limitations.

Collision probabilities for convex sets

1989 ◽  
Vol 26 (03) ◽  
pp. 649-654
Author(s):  
Wolfgang Weil
Keyword(s):  
Convex Body ◽  
Convex Sets ◽  
Random Motion ◽  
Curvature Measures ◽  
Boundary Sets

Let K, L ⊂ En be non-empty, closed, convex sets, K bounded, and suppose boundary sets αof K and ß of L are painted. If K undergoes a random motion such that K and L touch, the probability for a paint-to-paint contact is expressed by curvature measures of K and L. This generalizes and simplifies previous work of Molter (1986) on infinite cylinders L touching a convex body K.

Determining boundary sets of bounded symmetric domains

1993 ◽  
Vol 81 (1) ◽  
pp. 149-159 ◽  
Author(s):  
José M. Isidro ◽  
Wilhelm Kaup
Keyword(s):  
Bounded Symmetric Domains ◽  
Boundary Sets

Discussion on a New Calculation Method for Missing True Formation Thickness - A Case Study from YM32 Area in Northern Tarim Basin

2014 ◽  
Vol 678 ◽  
pp. 98-102
Author(s):  
Xian Ying Luo ◽  
Chuan Rui Dai ◽  
Xiao Fang Yan
Keyword(s):  
Tarim Basin ◽  
Calculation Method ◽  
Geological Conditions ◽  
Important Sense ◽  
Target Layer ◽  
Complete Set ◽  
Boundary Sets ◽  
Northern Tarim Basin ◽  
Direction Distance

The true formation thickness missed in the geologic borehole has important sense for understanding the strata of borehole and position of target layer. Nevertheless, there had not been enough effective technologies and calculation methods to calculate the missing true formation thickness at present. To solve this problem, this paper focuses on mathematical formula combining with the actual geological conditions, collects various useful geologic data and parameters, such as stratigraphic dip, dip direction, distance from drilling well to formation’s pinchout boundary along the dip direction and difference in height between drilling well and pinchout boundary, sets a reasonable calculation method, derives a complete set of new expression to calculate the missing true formation thicknesses. The typical region, YM32 Area in Tarim Basin, was taken as the case study to prove the accuracy and practicability of the calculation method. The result was inspected by the actual data of neighbor boreholes.

scholarly journals Distortion of boundary sets under inner functions. II

1996 ◽  
Vol 172 (1) ◽  
pp. 49-81 ◽  
Author(s):  
Jose Fernandez Perez ◽  
Domingo Pestana ◽  
José Rodríguez
Keyword(s):  
Inner Functions ◽  
Boundary Sets
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