Tag: Mandelbrot set

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Cheryl Lee Harnish

Cheryl Lee Harnish was exposed to the world of metaphysics at a very early age. Her father was infatuated with the paranormal and ESP. It was a natural event to sit around the kitchen table with her siblings playing spoon-bending or guessing the suit of a card. The fun of play quickly left when it became more of a show of ability. The pressure of having to “perform” was overwhelming. She would put that part of her life far behind her until many years later.

After undergoing many sessions of hypnotherapy for depression, Cheryl’s intuitive abilities spontaneously re-opened to her after a particular session where she had a profound and life changing experience. During this particular session she found herself in the presence of Archangels. Her understanding of herself and her gifts would be forever changed.

 

 

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Benoît Mandelbrot

[box]Benoit Mandelbrot[/box]

 

Benoit Mandelbrot, whose pioneering work on fractal geometry made him one of the few modern mathematicians to approach widespread fame, died October 14 at the age of 85.

Mandelbrot coined the term “fractal” in 1975 to describe irregular shapes in nature and in mathematics that exhibit self-similarity—like snowflakes or Romanesco broccoli, they look roughly the same at varying scales. The so-called Mandelbrot set, a plot of complex numbers whose boundary forms a fractal, provided perhaps the most visually entrancing embodiment of the concept.

In books such as The Fractal Geometry of Nature (1982) and The (Mis)behavior of Markets: A Fractal View of Risk, Ruin, and Reward (2004), Mandelbrot made the case that fractals could help make sense of everything from the shape of coastlines  to the performance of Wall Street.

Born November 20, 1924, to a Jewish family in Warsaw, Poland, Mandelbrot moved with his family to France in 1936 to escape their homeland, which was soon to be invaded by Nazi Germany. Mandelbrot was educated in France and the U.S. and spent much of his professional life in the States, including a long stint at IBM as a staff scientist and research fellow. In 1987 he began teaching at Yale University; at the time of his death he was an emeritus professor of mathematics there.

Mandelbrot’s work on fractals brought popular acclaim, inspiring a countless number of psychedelic posters and screen savers, but it also earned him a great deal of professional respect. He was awarded honorary degrees from more than a dozen institutions and in 1987 was elected a member of the National Academy of Sciences. In 1993 Mandelbrot won the Wolf Prize in Physics, and he shared the 2003 Japan Prize with chaos theory pioneer James Yorke of the University of Maryland.

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