Line Segments Quotes & Sayings

All knowledge meets an end at the question ' ... Why? — Criss Jami

The only security is courage. — Francois De La Rochefoucauld

My family is very religious. — Brendon Urie

Freedom is the sure possession of those alone who have the courage to defend it. — Pericles

There is so little joy in any life, I will take this time with you until I must go." He smoothed a lock of hair from her face. "In our old age, we'll remember and be glad. — Barbara Samuel

I don't want my children to obey only because they fear consequences or worry that Mom will lose it. I want to know their hearts understand and grasp the joy to be found in doing the right thing. This requires parenting through the daily grind with a long-term mentality. — Courtney Defeo

Engineers had not framework for understanding Mandelbrot's description, but mathematicians did. In effect, Mandelbrot was duplicating an abstract construction known as the Cantor set, after the nineteenth-century mathematician Georg Cantor. To make a Cantor set, you start with the interval of numbers from zero to one, represented by a line segment. Then you remove the middle third. That leaves two segments, and you remove the middle third of each (from one-ninth to two-ninths and from seven-ninths to eight-ninths). That leaves four segments, and you remove the middle third of each- and so on to infinity. What remains? A strange "dust" of points, arranged in clusters, infinitely many yet infinitely sparse. Mandelbrot was thinking of transmission errors as a Cantor set arranged in time. — James Gleick