1582 CE - This day is skipped in Italy, Spain, Portugal and Poland following the implementation of the Gregorian Calendar.
Photo of the Day
In the News
Brazil's Rousseff to Face Pro-Business Neves in Election Runoff
Hong Kong Protests Face Test of Stamina as City Returns to Work
Ebola Patient in Dallas Struggling to Survive, Says CDC Head
Hezbollah Pushes Back Syrian Militant Offensive in Lebanon
Quarantine Works Against Ebola but Overuse Risks Disaster
Hong Kong Protests Face Test of Stamina as City Returns to Work
Ebola Patient in Dallas Struggling to Survive, Says CDC Head
Hezbollah Pushes Back Syrian Militant Offensive in Lebanon
Quarantine Works Against Ebola but Overuse Risks Disaster
Quote of the Day
"Disunion and civil war are at hand; and yet I fear disunion and war less than compromise. We can recover from them. The free States alone, if we must go on alone, will make a glorious nation". --Rutherford B. Hayes
Song of the Day
Artist - Fleetwood Mac
Album - Tusk
Film of the Day
Director - Nicholas Meyer
Starring - William Shatner, Leonard Nimoy, Ricardo Montalbán
Wiki of the Day
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. If the replication is exactly the same at every scale, it is called a self-similar pattern.[1]Fractals can also be nearly the same at different levels. Fractals also includes the idea of a detailed pattern that repeats itself.[2]
Fractals are different from other geometric figures because of the way in which they scale. Doubling the edge lengths of a square scales its area by four, which is two to the power of two, because a square is two-dimensional. Likewise, if the radius of a sphere is doubled, its volume scales by eight, which is two to the power of three, because a sphere is three-dimensional. If a fractal's one-dimensional lengths are all doubled, the spatial content of the fractal scales by a power of two that is not necessarily an integer.[2] This ratio is called the fractal dimension of the fractal, and it usually exceeds the fractals's topological dimension.[7]
As mathematical equations, fractals are usually nowhere differentiable.[2][5][8] An infinite fractal curve can be conceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface.[2]
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