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It is of great need in signal processing to reconstruct (recover) a signal (function) from its values at a discrete sequence of points (samples).
Special attention is given to the exact discretization because there exists a difference equation whose solutions exactly coincide with solutions of the corresponding differential equation evaluated at a discrete sequence of points.
For a given differential equation, a difference equation approximation is called best if the solution of the difference equation exactly coincides with solutions of the corresponding differential equation evaluated at a discrete sequence of points.
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According to quantum mechanics, the electrons of an atom can occupy only a discrete sequence of energy levels.
From the ORF rings, we can derive discrete 3D curves represented by a sequence of points, where each point is the center of a triangle facet.
The discrete switching sequence of switching points, indexed for and which is generated by the switching rule [3 5], is defined as follows, (2.2). is the number of switching points which is either finite or infinity numerable.
Similarly, the solution of a differential equation is obtained as a sequence of discrete points determined, in simplistic terms, by approximating the true solution curve by a sequence of tangential line segments.
Under the case of lower and upper solutions with reverse-order, the first one is devoted to the existence of extremal solutions to PBVP (5.1) on a time scale defined as the real numbers set, and in the second one, the existence of extremal solutions to PBVP (5.5) on a time scale defined as a sequence of discrete points union a closed real interval is guaranteed.
We therefore subdivided the lines through a discrete number of points (n = 11 ).
This feature enables us to have a continuous modeling of the discrete sequence space.
Journal of Molecular Biology 147, 195 197] discrete sequence comparison algorithm to continuous signals.
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