The scaling᎐nesting similarity measures were proposed earlier for an intuitively simple shape comparison of molecular ''bodies'' enclosed by isodensity surfaces. Similarity measures have extended utility and provide rigorous comparisons which can be treated by well-known mathematical techniques if t
Symmetry Properties of Average Densities and Tangent Measure Distributions of Measures on the Line
✍ Scribed by Peter Mörters
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 347 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
✦ Synopsis
Answering a question by Bedford and Fisher, we show that for the circular and one-sided average densities of a Radon measure on the line with positive lower and finite upper ␣-densities, the following relations hold -almost everywhere:
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