A Fractal Dimension of greater than 1.5, or a Hurst exponent
between 0 and 0.5 indicates an anti-persistent behavior in which an increasing trend will be followed by a decreasing one, which is referred to as mean reverting.
For discrete system (maps or fixed point iterations) [x.sub.n] = f([x.sub.n-1]) and for an orbit starting with [x.sub.0], the Lyapunov exponent
can be defined as follows:
The strength of the anti-persistence behaviour increases as the value of the exponent
H approaches zero.
In the sample of the stock market indices, the Hurst exponents
are distinct from the RW criterion of 0.5 for most periods.
Engineering, and was attended by Asam Khan, CEO, Exponent
For the first year, the training will be conducted jointly by AUS and Exponent
staff using Exponent
's licensed course materials.
For the temperature anomaly records, the scaling exponent
obtained from the FA method is greater than the values from the DFA1-3 at whole time scales.
method is used to analyze the stability affected by different manipulator movements and then the Newton-Euler recursive method is used to quantify the coupling between the manipulator and the quadrotor, after which coupling compensation is considered in the controller design.
Philosophy said the phrase "changes in Washington" referred to an aggressive congressional agenda, the potential for sweeping policy changes and the unconventional style of the Trump administration.
This paper extends the work done in  on the applicability of the Hurst exponent
as a surge criterion.
Andreescu and Elliot chose problems that illustrate the use of exponents
and logarithms in algebra, calculus, and beyond, and provide students opportunities to understand the principles and practice the computational mechanics.
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