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The mathematical derivations of the input stage, output stage and the direct 2D FIR filtering equation are also given.
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In particular, a sliding-model-based integral filter is introduced to facilitate the development of the derivation of the virtual inputs, thus reducing the computational load with regard to the standard backstepping procedure.
In the derivation of factor input demands, the model structure uses constant returns to scale technology and nested constant elasticity of substitution (CES) production functions with three levels to determine the firms' demand for primary and intermediate inputs.
The derivation of the distributions for each of the input parameters is associated with varying degrees of true uncertainty (i.e., lack of knowledge).
The derivations of the analytical expressions of the various input and output signals in time and frequency domain are also provided.
The derivation specifies which rules are combined in which order, and this derivation constitutes the input to the meaning assignment function.
In this article we describe the overall structure of the model, sources of data, derivation of key input parameters for the epidemiological component of the model, and preliminary validation studies.
Our derivation for R 2 ^ and R 3 ^ assumes that the mutation rate at a particular site will not change over the timescale of the input data.
Table 1 provides a complete list of the basic input and output parameters that are used in the derivations of the cache models and practical experiments.
Use of such high concentration of GBCA (66 mM) may lead to effects of signal saturation (itself potentially corrected for by adjustment of the magnetization flip angle in gradient echo sequences [16]) in the derivation of an MR input function, the effects of which could also be investigated with a phantom.
Appendix A contains derivations of the main text equations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com