[AntonioLao]

The difference between daybreak and outbreak is that the former appears gradually while the latter appears suddenly in a space-time event configuration of physical reality.

Similarly, the billion-year processes of evolution of life on planet Earth heralded the dawn of human civilization and culminated the 20th century outbreak of global impact scientific discoveries. In the middle of the 17th century the outbreak of the plague disease after Newton’s graduation forced Cambridge University to close down for 18 months. He spent the time at his birthplace, Woolsthorpe, in Lincolnshire where and when he initiated the turning point of the greatest scientific revolution of all time. Its snail-pace progress in development and improvement lasted for nearly 300 years arriving in 1915 Einstein’s general theory of relativity (a. k. a. modern theory of gravity). The precise calculations of this theory made possible the working principle of GPS satellites and made practical the outbreak of World Wide Web global communication systems and maybe out of over demanding necessity to get in touch with everyone eventually see the daybreak of absolute connectivity by mental telepathy.

So it seems that an outbreak always follows daybreak or daybreak follows an outbreak as cycles of exponential growth or exponential decay. These can be modeled by the infinite series for unit cycle as 1/0!+1/1!+1/2!+1/3!+1/4!+1/5!+1/6!+…giving non-terminating and non-repeating irrational number 2.71828…whose Fourier transforms are the forward or backward saw-toothed wave forms, for example, the expanded trigonometric series function: f(x)=p+2(sinx-½sin2x+⅓sin3x-¼sin4x+…). See http://mathworld.wolfram.com/FourierSeriesSawtoothWave.html and http://en.wikipedia.org/wiki/Sawtooth_wave