Surprising variants of Cauchy's formula for mean chord length
نویسندگان
چکیده
منابع مشابه
Use of mean airspace chord length to assess emphysema.
THERE IS CURRENTLY a great deal of interest in mechanisms underlying COPD. Although COPD is not a term commonly applied to mouse models, in mice there has been an increasing number of studies in recent years on one of the hallmarks of COPD, i.e., emphysema. Emphysema is characterized by destruction of alveolar walls, with concomitant loss of alveolar surface area, enlargement of airspaces, and ...
متن کاملCommentaries on viewpoint: use of mean airspace chord length to assess emphysema. Mean airspace chord length is useful in assessing emphysema.
TO THE EDITOR: Although mean airspace chord length (Lm) lacks the elegance of some stereology methods and requires careful attention to technique (4), Mitzner (3) argues that Lm has utility in studying experimental emphysema. Clearly, Lm reflects the dimensions of alveoli but is not a direct estimate of alveolar diameter or mean alveolar size. The functional significance of Lm lies, however, in...
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Department of Mathematics and Mechanics, Yerevan State University, Alex Manoogian, 1 0025 Yerevan, Armenia. [email protected]. Using the inclusion-exclusion principle and the Pleijel identity, an algorithm for calculation chord length distribution function for a bounded convex polygon is obtained. In the particular case an expression for the chord length distribution function for a rhombus is obta...
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A Chord [13] network, used for an implementation of a distributed dictionary, is structured as a ring of nodes with connections at offsets of powers of base two around the ring. We consider routing algorithms for a bidirectional variant of Chord networks and show that the structure of optimal routes in these networks is exactly characterized by their specification as signed bit representations ...
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The distribution of the length of a typical chord of a stationary random set is an interesting feature of the set’s whole distribution. We give a nonparametric estimator of the chord length distribution and prove its strong consistency. We report on a simulation experiment in which our estimator compared favorably to a reduced sample estimator. Both estimators are illustrated by applying them t...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2019
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.100.050103