The maximum Lyapunov exponents and fractal dimension corresponding to (a) are plotted in Figures 6(b) and 6(c), respectively.
The maximum Lyapunov exponents and fractal dimension corresponding to (a) are given in Figures 4(b) and 4(c), respectively.
They observed that the samples of a CDMA signal received by an array of antennas can be stored in a cube, each dimension corresponding to a diversity (coding diversity, temporal diversity, and spatial diversity).
This can be used to show that, within this interval, the functions I m (q q D and S m (q q D are log-periodic [29], where D is the fractal dimension corresponding to a given scale.
The concept of chemical space, whereby molecules are annotated with a set of quantitative molecular properties and placed in a high-dimensional property space with each dimension corresponding to a different property, offers a practical approach to represent the structural diversity of large molecule collections [1 28].
In our case these random vectors are the background pixels with each dimension corresponding to a different spectral band, that is, for a set of pixels,, we seek the minimum enclosing hypersphere,, that contains T. This is a constrained optimization problem stated as.
Therefore, each sample was encoded by a 39 dimensional vector, each dimension corresponding to a variable computed in equation 1.
The feature construction step maps the images into a feature space, with each dimension corresponding to a specific Gabor feature.
In the representation of odors by the antennal lobe projection neurons, every odor can be thought of as a point in an approximately 50 dimensional space, each dimension corresponding to a particular glomerulus.
Low expansion rates in all three dimensions, corresponding to kinetic energies of a few tens of picokelvin, are possible with atom chips by combining delta-kick collimation with excitation of a quadrupole shape oscillation23.
