scholarly journals Identifying Set Inclusion by Projective Positions and Mixed Volumes

Author(s):  
Dan Florentin ◽  
Vitali Milman ◽  
Alexander Segal
Keyword(s):  
2021 ◽  
Vol 388 ◽  
pp. 107887
Author(s):  
Francesco Della Pietra ◽  
Nunzia Gavitone ◽  
Chao Xia
Keyword(s):  

1985 ◽  
Vol 23 (2) ◽  
pp. 105-108 ◽  
Author(s):  
Stephen E. Newstead ◽  
Stephanie Keeble ◽  
Kenneth I. Manktelow

2001 ◽  
Vol 33 (1) ◽  
pp. 39-60 ◽  
Author(s):  
Wolfgang Weil

In generalization of the well-known formulae for quermass densities of stationary and isotropic Boolean models, we prove corresponding results for densities of mixed volumes in the stationary situation and show how they can be used to determine the intensity of non-isotropic Boolean models Z in d-dimensional space for d = 2, 3, 4. We then consider non-stationary Boolean models and extend results of Fallert on quermass densities to densities of mixed volumes. In particular, we present explicit formulae for a planar inhomogeneous Boolean model with circular grains.


1998 ◽  
Vol 58 (2) ◽  
pp. 257-270 ◽  
Author(s):  
Menachem Kojman
Keyword(s):  

1987 ◽  
Vol 15 (1) ◽  
pp. 292-304 ◽  
Author(s):  
V. D. Milman ◽  
G. Pisier

1991 ◽  
Vol 20 (345) ◽  
Author(s):  
Jens Palsberg ◽  
Michael I. Schwartzbach

We present a new approach to inferring types in untyped object-oriented programs with inheritance, assignments, and late binding. It guarantees that all messages are understood, annotates the program with type information, allows polymorphic methods, and can be used as the basis of an optimizing compiler. Types are finite sets of classes and subtyping is set inclusion. Using a trace graph, our algorithm constructs a set of conditional type constraints and computes the least solution by least fixed-point derivation.


1973 ◽  
Vol 80 (1) ◽  
pp. 46-48
Author(s):  
James A. Heinen ◽  
Albert Wilansky
Keyword(s):  

2007 ◽  
Vol 359 (10) ◽  
pp. 4711-4728 ◽  
Author(s):  
Ngo Viet Trung ◽  
Jugal Verma
Keyword(s):  

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