Sentence examples for by a smooth function from inspiring English sources
Fuzzy logic systems are used to identify the unknown nonlinear system, the input saturation is approximated by a smooth function, and a fuzzy state observer is designed for estimating the unmeasured states.
The model can be applied to any functionally graded plate or sandwich panel with graded core as long as the through thickness stiffness variation can be described by a smooth function.
In practice, the Heaviside function H z) needs to be approximated by a smooth function H ε z, which is typically given by H ε z = 1 2 1 + 2 π arctan z ε (23).
The predicted probability of the next word is returned by a smooth function of the context representation, which alleviates the sparsity issue to some extent and leads to better generalization for unseen n-grams.
For practical and feasible implementation, the Heaviside function H z) has to be approximated by a smooth function H ε (z) given typically by H ε z = 1 2 1 + 2 π arctan z ε (20).
In practice, the Heaviside function H z) is approximated by a smooth function H ϵ (z), which is typically defined by [3, 5] H ϵ z = 1 2 1 + 2 π arc tan z ϵ, (12).
They may be obtained from local averages with Gaussian weighting,[ 37] or by fitting a smooth function, for example, a low-order polynomial.
The functional form of the exposures and each continuous covariate was explored by fitting a smooth function in a generalized additive model.
We consider a stochastic wave equation in space dimension three driven by a noise white in time and with an absolutely continuous correlation measure given by the product of a smooth function and a Riesz kernel.
As a matter of fact, the normalizing factor z ijt is completely determined by the context via a smooth function in Equation 2, and similar contexts will result in similar normalizing factors close to each other in value.
We only assume that the global contribution received by each scene point is a smooth function with respect to the frequency of the lighting.
