Fractal Dimension

(redirected from Information dimension)
Also found in: Encyclopedia.

Fractal Dimension

A number that quantitatively describes how an object fills its space. In Euclidean, or Plane geometry, objects are solid and continuous. That is, they have no holes or gaps. As such, they have integer dimensions. Fractals are rough and often discontinuous, like a wiffle ball, and so have fractional, or fractal dimensions.

Fractal Dimension

A description of how a discontinuous object fills the space it occupies. For example, a basketball is not smooth; rather it has lines and grooves all over it. Because it is not a perfect sphere, it requires fractal dimensions to explain how it exists.
References in periodicals archive ?
where a is the information dimension, [D.sub.1], while c denotes the multifractal specific heat.
(iv) Use the reconstructed signal sequence to calculate the information dimension according to its definition.
The presence of the expression health education, professional training and information (category educative care) in the structure of the health professionals' social representation points towards an information dimension. Health education is a strategic contribution in the health practices focused on HIV/aids, turning into a fundamental tool in view of the increase in the number of HIV/ aids cases and the changes in the epidemiological profile.
The information dimension of warfare must be mastered by developing a following of inquisitive international observers and host-nation friends on social media platforms who seek on their own to navigate around the white noise.
Information dimension shows the inner structure of time series in each scale.
This considerably simplified the information dimension in combat.
The information dimension, linked to quality, is considered explicitly by several norms and awards.
A type of fractal dimension, the information dimension, was computed for these data using Sarraille and DiFalco's (1992) FD3 program for the PC.
The advent of EDI systems, such as "FORD-NET," have added a new information dimension by narrowing the time delay problem, but they place greater demands on the foundry control systems.
The information dimension specifies how this amount of information scales with the radius [epsilon], which is defined as
Information Dimension's Intranet strategy is built around its BASIS Document Manager and BASIS WEBserver products, which provide for managing large-scale document collections.

Full browser ?