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Furthermore, for each parameterized input x, there exists a corresponding (abstract) transition ((s, a B v)), (x, p x ), y, (s′, a B v′)) in h B as M is input complete and according to the choice of P x (Definition 8).

The NaCl concentration ranging from 0.1 to 2.0 M is input in the time-dependent PRO model with other parameters summarized in the Table  1 and 0.5 LMH as simulation end-point.

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total rainfall (0.152 m) was input into the simulation for 18 September 1926 as estimated rainfall from the Great Miami Hurricane.

In the experiment, the periodic voltage wave at a cycle time of (tau =8) ms was inputted to the piezo stage, as shown in Fig. 6; the input voltage wave was set to a linear waveform from 0 V to a maximum voltage (V_{max}) in a period (tau _t=4.5) ms, where (V_{max}) was set to 15, 30, 45, 60, 75, 90, 105, 120, 135, and 150 V.

Step 1. First, the message M:{0,1} a is input and transformed into message blocks M n×1.

A rate R = k/n convolution encoder with memory order m can be realized as a k-input, n-output linear sequential circuit with input memory order m; that is, inputs remain in the encoder for an additional m time units after entering.

Therefore, regression approximation addresses the problem of estimating a function based on a given dataset G = {(x i, y i ) T } i n, where x i ∈ R m is the input vector, y i ∈ R is the targeted output, m is the dimension of the input vector, and n is the total number of samples.

A (order n × n) is the state matrix and B (order n × m) is the input matrix.

where x k ∈R n is the system state; u k ∈R m is the input, y k ∈R p is the measured output; A,A d,C, and C d are known real matrices with appropriate dimensions.

For a dynamic stochastic system, suppose that the random process y ∈ [ a, b ] is the output of the stochastic system, its output PDFs are defined by γ ( z, u ( t ) ), where u ( t ) ∈ R m is control input.

We expressed the hidden layer output as a row vector (Fleft( {text{X}} right) = left[ {{text{f}}_{1} left( m right) ldots f_{L} left( m right)} right]), where m is the input sample, L represents the number of hidden nodes [28].

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