In the era of great distress and confusion, people's ideas head toward "the end of the world". According to author Greg Braden, this is a historic moment. It is an era of change and confusion that evokes a strong anxiety that wonders if we are approaching the climax of human history. But many cultures of ancient and contemporary have a belief that there is no end time - in fact, history does not move directly to a single destination, but rather in a series of more complex fractal cycles There is.
Search fractal time: When choosing a point, Greg explores the concept of cycle time through the philosophy of the Andean, Tibetan, and Central American ancient and indigenous people. Greg's conclusion is that we are definitely moving towards an era of great global change, that is, towards an era when humans have the opportunity to accept the next stage of the possibility of evolution. With three attractive courses, Greg will be confident with a confident and bright future by the concept of selection points, the way to make the best use of the moment of these fulcrums, and the way to understand the real shape of history And you can come out.
Other articles are organized as follows. Section 2 describes the concept of fractal time series from the viewpoint of a fractional order system. The basic nature of the fractal time series is explained in Section 3. Several models of fractional time series are discussed in section 4. The conclusion is in section 5. On the other hand, it is possible to use a nonstationary random function as the output of the filter. Typically, under excitation of unsteady white noise, having different filters can create different series under excitation. Thus, traditionally, people are considered to be sources or sources of random sequences; for example, Press et al. checking ... . In this article, consider only fixed series
From the viewpoint of statistical dependence, fractal time series can be divided into two categories. One is LRD and the other is SRD. It can also be divided into Gaussian sequences or non-Gaussian sequences. The Gaussian fractal time series model is described in sections 4.1 to 4.4 and 4.6. Non-Gaussian series are explained in Section 4.5. FBm is commonly used to model transient fractal time series. It is Gauss (Sinai). The definition of fBm described in (2.18) is called Riemann-Liouville type because it uses the Riemann-Liouville integral (see, for example, Sithi and Lim, Muniandy and Lim, and Feyel and de la Pradelle) . That PSD is configured. Given the
Not all fractals are artificial. Nature is full of fractals. The mountains are fractal. A healthy old tree is a fractal. The human body is fractal. As mentioned above in the general meaning of the patterns of human settlements, fern leaves, earthquake fault patterns, part of the cloudy sky, that is to say, if we do not simplify the structure deeply and do not simplify (in the very strong case Etc.) microscope). A continuum is formed from the blood vessels of the aorta to the capillaries. They diverge, divide and branch again until the blood cells are so narrow that they are forced to slip. Their branching characteristics are also fractal. As a physiological necessity, blood vessels must have a certain stereoscopic effect, ie the circulatory system has to limit the huge surface area to a limited volume. In terms of physical resources, blood is expensive and space is priceless.