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By means of several transformations one establishes matrix formulae based on equations of radiative exchanges containing variables defined in a discrete analog form, and further on, by means of a multidisciplinary approach, the solutions are organized in algorithms that use the theory of networks, graphs and electric circuits.
However, a vector defined in a discrete model may completely lose all the sequence-order information [ 53].
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In Ref. [29], by the use of the Riemann-Liouville differences on time scales, the Riesz difference was defined in a consideration for discrete fractional modeling.
And linearity is defined in a manner similar for continuous time and discrete time.
The Shannon entropy can also be defined in an analogous manner for a discrete variable.
Weighted 3-D Krawtchouk moments[42] have several advantages compared to other known methods: (1) they are defined in the discrete field and thus do not introduce any discretization error like spherical harmonics defined in a continuous field, and (2) low-order moments can capture abrupt changes in the shape of an object.
In this research work Integrated Circuit (IC) design has been formulated as a constrained multi-objective optimization problem defined in a mixed integer/discrete/continuous domain.
Recently, we have developed an analogous model which employs a d-dimensional qudit ancilla [22] with a displacement operator defined in the discrete phase space of the qudit [23, 24].
In the qudit ancilla model the ancilla interacts with the register via displacements of the ancilla (with the displacements defined in the discrete lattice phase space of a qudit) controlled by a register qubit.
On the other hand, information-theoretic approach to guarantee secrecy was initiated by Wyner [6], where the concept of secrecy capacity was, for the first time, defined in degraded discrete memoryless wiretap channels.
The core of our approach is a language equipped with a formal semantics defined in terms of Discrete Time Markov Chains that enables us to describe both the impact of adaptation tactics, as well as the assumptions about the environment.
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