Journal ArticleDOI
Fractals for the classroom. Part one: Introduction to fractals and chaos , by H. O. Peitgen, H. Jürgens and D. Saupe. Pp 450. $29. (1992). ISBN 3-540-97041-X / 0-387-97041-X. (Springer/NCTM) - Fractals for the classroom. Part two: Complex systems and Mandelbrot set , by H. O. Peitgen, H. Jürgens and D. Saupe. Pp 500. $29. (1992). ISBN 3-540-97722-8 / 0-387-97722-8. (Springer/NCTM)
TLDR
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader.Abstract:
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.read more
Citations
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Quantification of tumor vascularity with contrast-enhanced sonography: Correlation with magnetic resonance imaging and fluorodeoxyglucose autoradiography in an implanted tumor
TL;DR: Quantitated estimates of tumor vascularity with contrast‐enhanced sonography closely correlated with estimates made by magnetic resonance imaging and with the percentage of viable tumor as depicted by fluorodeoxyglucose autoradiography.
A study of high quality speech synthesis based on the analysis of the randomness in speech signals
TL;DR: This project investigated the statistical characteristics of the waveform fluctuations extracted from the residual signals of the LPC vocoder and reached the conclusion that amplitude and period fluctuation could be modeled as 1/f fluctuations for a preliminary model.
Medienbildung und Informatik / Zur Fundierung einer integrativen Medienbildungstheorie
TL;DR: Auf der theoretischen Basis semiotischer Uberlegungen wird ein interdisziplinar angelegtes Medienverstandnis entwickelt, das sowohl fur traditionelle als auch fur computerbasierte Medien tragfahig ist.
Fractal Dimension Calculation for CORINE Land-Cover Evaluation in GIS - A Case Study.
TL;DR: This study points the land-cover areas with extreme values of fractal dimension in Olomouc region, to result that according to fractaldimension it is possible to distinguish (or at least to assume) the origin of areas.
Dissertation
Fractal based techniques for classification of mammograms and identification of microcalcifications
Shankar Deepa,Thomas Dr Tessamma +1 more
TL;DR: Fractal analysis can be applied for mammogram analysis effectively as mammographic parenchymal and ductal patterns possess fractal properties, which can help to reduce the mortality rate of breast cancer.
References
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Book
Fractal Physiology
William D. Deering,Bruce J. West +1 more
TL;DR: The nature of fractals and the use of fractal instead of classical scaling concepts to describe the irregular surfaces, structures, and processes exhibited by physiological systems are described in this paper.
Book
MATLAB Guide
TL;DR: From the Publisher: SHORT AUTHOR BIOGRAPHY: Desmond J. Higham is a Professor of Mathematics at University of Strathclyde, Scotland who specializes in the numerical solution of deterministic and stochastic differential equations.
Journal ArticleDOI
A review of methods used to determine the fractal dimension of linear features
TL;DR: An in-depth review of the more commonly applied methods used in the determination of the fractal dimension of one-dimensional curves is presented in this article, where many often conflicting opinions about the different methods have been collected and are contrasted with each other.
Journal ArticleDOI
Neurons and fractals: how reliable and useful are calculations of fractal dimensions?
TL;DR: The results reinforce the idea that comparison of measurements of different profiles using the same measurement method may be useful and valid even if an exact numeric value of the dimension is not realised in practice.
Journal ArticleDOI
Fractal analysis in the detection of colonic cancer images
TL;DR: The aim of this study was to investigate the value of fractal dimension in separating normal and cancerous images, and to examine the relationship between Fractal dimension and traditional texture analysis features.