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We explore the continuous-valued state space of chaotic systems, and devise the discrete mapping between the input and the output of the S-box.
Based on Cesaro's approach in differential geometry, the continuous and discrete mapping models are established in this paper, which are effectively applied to study of the pitch curves, the velocity-ratio function, the rolling characteristic and the "polygon" effect, etc. in the variable-ratio chain/belt drives.
We draw an important distinction here between a structural 'alignment' and a 'superposition.' An alignment is a discrete mapping between the residues of two or more structures.
Thus, the minimisation is which in the case of the linear approximation can be written as Because of the computational limitations the discrete mapping may contain modelling errors.
For each datapoint, we assume there is a discrete mapping from Y1: P 1: T → Z1: P 1: T where Z p t ∈ k and k is a discrete copy number state ∈{ L, N, G} representing loss, neutral and gain.
The subjects were trained psychophysical observers and the reliability of the maps observed here (e.g., discrete mapping of the foveal representation) confirms that subjects maintained a stable fixation during the visual stimulation.
Similar(53)
We introduce an approach for extracting landscape pattern information from gradient surfaces using a thresholding approach to discretize gradient surfaces into multiple discrete maps according to forest cover density.
It is shown that these discretizations fall within the class of quantum walks, i.e. discrete maps for complex fields, whose continuum limit delivers Dirac-like relativistic quantum wave equations.
Moreover, the amplitudes robust against change in delay can also be obtained from the discrete map.
This allows the construction of discrete maps from one event to the next.
We study the control of chaos in one-dimensional discrete maps as they often occur in modelling population dynamics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com