How Long Is The Coast Of Britain? Statistical Self-Similarity And Fractional Dimension
"How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension" is a paper by mathematician BenoƮt Mandelbrot, first published in Science in 1967. In this paper Mandelbrot discusses self-similar curves that have Hausdorff dimension between 1 and 2. These curves are examples of fractals, although Mandelbrot does not use this term in the paper, as he did not coin it until 1975. The paper is one of Mandelbrot's first publications on the topic of fractals.
Read more about How Long Is The Coast Of Britain? Statistical Self-Similarity And Fractional Dimension: Overview
Famous quotes containing the words long, coast, fractional and/or dimension:
“The need to become a separate self is as urgent as the yearning to merge forever. And as long as we, not our mother, initiate parting, and as long as our mother remains reliably there, it seems possible to risk, and even to revel in, standing alone.”
—Judith Viorst (20th century)
“This coast crying out for tragedy like all beautiful places,”
—Robinson Jeffers (18871962)
“Hummingbird
stay for a fractional sharp
sweetness, ands gone, cant take
more than that.”
—Denise Levertov (b. 1923)
“By intervening in the Vietnamese struggle the United States was attempting to fit its global strategies into a world of hillocks and hamlets, to reduce its majestic concerns for the containment of communism and the security of the Free World to a dimension where governments rose and fell as a result of arguments between two colonels wives.”
—Frances Fitzgerald (b. 1940)