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Additional Physical Format: | Online version: Tricot, Claude. Curves and fractal dimension. New York : Springer-Verlag, ©1995 (OCoLC)810357686 |
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Material Type: | Internet resource |
Document Type: | Book, Internet Resource |
All Authors / Contributors: |
Claude Tricot |
ISBN: | 0387940952 9780387940953 3540940952 9783540940951 |
OCLC Number: | 28183123 |
Description: | xiv, 323 pages : illustrations ; 24 cm |
Contents: | Foreword / Michel Mendes France -- pt. I. Sets of Null Measure on the Line. 1. Perfect Sets and Their Measure. 2. Covers and Dimension. 3. Contiguous Intervals and Dimension -- pt. II. Rectifiable Curves. 4. What Is a Curve? 5. Polygonal Curves and Length. 6. Parameterized Curves, Support of a Measure. 7. Local Geometry of Rectifiable Curves. 8. Length, by Intersections with Straight Lines. 9. The Length by the Area of Centered Balls -- pt. III. Nonrectifiable Curves. 10. Curves of Infinite Length. 11. Fractal Curves. 12. Graphs of Nondifferentiable Functions. 13. Curves Constructed by Similarities. 14. Deviation, and Expansive Curves. 15. The Constant-Deviation Variable-Step Algorithm. 16. Scanning a Curve with Straight Lines. 17. Lateral Dimension of a Curve. 18. Dimensional Homogeneity -- pt. IV. Annexes, References and Index. A. Upper Limit and Lower Limit. B. Two Covering Lemmas. C. Convex Sets in the Plane. |
Other Titles: | Courbes et dimension fractale. |
Responsibility: | Claude Tricot ; with a foreword by Michel Mendès France. |
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