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In the sequel denotes the norm in, and we denote by the weighted function spaces with the norm defined on by.
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The second term on the right is the weighted function by the ratio of indenter width to tool width.
In our case, the ranking value is given by the following weighted function: L mathbb{C})=sum_{ain A}w_{a}timesfrac{M_{a}(mathbb{C} -mu_{a}}{sigmathbb{C} -mu_{a}
As the extension of some results mentioned above, we give their weighted forms by the weight function in the final section.
where ξ m is the SINR obtained after D2D users access the cellular resources, i.e., (xi _{m} = P_{m}g_{Dm,m}/left (sigma ^{2} + P_{n}g_{C_{n,m}}right)). Equation (4) is a multi-objective optimization problem, where the non-inferior solution can be solved by the weighted evaluation function method [17].
Using the notation, this multicriterion minimization problem can by scalarized by forming the weighted objective function [27] (34).
The local weighted function (LWF) is generated by weighted combing the luminance function、contrast function and structural function, as shown in Eq. (11) LSFleft x,yright)=l{left x,yright)}^{alpha}cdotp c{left x,yright)}^{beta}cdotp s{left x,yright)}^{gamma } (11).
The mean and covariance of parameters are estimated synchronously by minimizing the weighted objective function through hybrid of particle-swarm and Nelder Mead simplex optimization method, thus the better correlation between simulation and test is achieved.
Moreover, it can offer a proper solution by adjusting the weighted objective function.
As corollary, by choosing suitable weighted functions, the Berry Esseen type bounds for the estimators of β, g and f can achieve O(n−1/6+ϖ/3), O(n−1/12+ϖ/6) and O(n−1/12+ϖ/6), respectively, where 0<ϖ<1/2.
The modification of TV is performed by introducing a new exponentially directional weighted function (EDWF), which is based on the difference between L1 and L2 norms over the exponential function.
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