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Discrete time and continuous time information


In mathematical dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled.

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Discrete time and continuous time

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dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled. Discrete time views values...

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Continuous or discrete variable

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In mathematics and statistics, a quantitative variable may be continuous or discrete if they are typically obtained by measuring or counting, respectively...

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Discretization

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applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This...

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Discrete mathematics

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numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic...

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Time crystal

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the crystal ground state, the continuous translational symmetry in space is broken and replaced by the lower discrete symmetry of the periodic crystal...

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Quantum walk

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discrete time and continuous time. Quantum walks are motivated by the widespread use of classical random walks in the design of randomized algorithms and are...

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Probability distribution

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Probability distributions can be defined in different ways and for discrete or for continuous variables. Distributions with special properties or for especially...

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Discrete

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interpolation Discrete time, non-continuous time, which results in discrete-time samples Discrete variable, non-continuous variable Discrete pitch, a pitch with...

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Fourier analysis

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compute an arbitrary number ( N ) {\displaystyle (N)} of discrete samples of one cycle of a continuous DTFT, S 1 T ( f ) , {\displaystyle S_{\tfrac {1}{T}}(f)...

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Bilinear transform

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digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa. The bilinear...

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Stochastic control

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despite the presence of this noise. The context may be either discrete time or continuous time. An extremely well-studied formulation in stochastic control...

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Time domain

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instants in the case of discrete time. An oscilloscope is a tool commonly used to visualize real-world signals in the time domain. A time-domain graph shows...

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Discrete Fourier transform

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the non-zero values of a function, its DTFT is continuous (and periodic), and the DFT provides discrete samples of one cycle. If the original sequence...

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Comb filter

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are added to the input. Comb filters may be implemented in discrete time or continuous time forms which are very similar. Comb filters are employed in...

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Finite impulse response

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settles to zero. FIR filters can be discrete-time or continuous-time, and digital or analog. For a causal discrete-time FIR filter of order N, each value...

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Time evolution

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this formulation, time is not required to be a continuous parameter, but may be discrete or even finite. In classical physics, time evolution of a collection...

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Discrete manufacturing

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and consumers, and assemblies that are used by other manufacturers. The processes deployed in discrete manufacturing are not continuous in nature. Each...

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Stochastic process

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as discrete-time and continuous-time stochastic processes. Discrete-time stochastic processes are considered easier to study because continuous-time processes...

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Time series

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spaced points in time. Thus it is a sequence of discrete-time data. Examples of time series are heights of ocean tides, counts of sunspots, and the daily closing...

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Markov chain

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moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC)...

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Residence time

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waiting time it plays a central role respectively in supply chain management and queueing theory, where the material that flows is usually discrete instead...

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Hourglass

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quantity and coarseness of the particulate matter, the bulb size, and the neck width. Depictions of an hourglass as a symbol of the passage of time are found...

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Kolmogorov equations

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(Kolmogorov called it fundamental equation) for time-continuous and differentiable Markov processes on a finite, discrete state space. In this formulation, it is...

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