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In addition to being discrete in time (sampled), digital signals also have to be discrete in amplitude.
The automaton is discrete in time, real space, and orientation space.
This is because the computer can represent only digital signals, and digital time-waveforms are discrete in time but may have energy at any frequency.
This paper supposes that the time-variant system is discrete in time and space with given probabilities of transition between space states.
Impulsive control of a chaotic system is ideal for designing digital control schemes where the control laws are generated by digital devices which are discrete in time.
It uses a block-diagram representation of ordinary differential equations (ODEs) to define continuous dynamics, and allows mixing of continuous-time signals with events that are discrete in time.
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From the timeseries of an observable, we construct a discrete-in-time Markov chain and calculate the eigenspectrum of its transition probability (or stochastic) matrix.
The resulting discrete-in-time trajectories are then consistent with the laws of thermodynamics for these systems: for an isolated system, they exactly conserve the total entropy, and nearly exactly conserve the total energy over exponentially long periods of time.
Yet we tend to approach behavior change interventions as discrete-in-time, "one-off" interventions.
Longitudinal intervention studies on event occurrence can measure the timing of an event at discrete points in time.
Still, many in the scientific community are attracted to more discrete moments in time.
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