Then problem ((P_{2})) is given as follows: Optimize parameters (lambda,alpha), the vector τ̄ together with the decision variable (varepsilonin[0,varepsilon _{1}]) to minimize the transformed equivalent cost function J_{3}^{n}=p_{1}nlambda-p_{2}alpha y_{n}(1)+varepsilon^{-a}Xi +sigmavarepsilon^{b} subject to (4.44)–(4.46) as well as the restraints (0<alpha<1) and (lambda>0).
Optimize a combined parameter vector ((boldsymbol {delta},boldsymbol{beta},T inLambdatimesThetatimes 0,hat{T})) and the new decision variable (varepsilonin[0,varepsilon_{1}]) to minimize the transformed equivalent cost function (J_{2}(boldsymbol{delta },boldsymbol{beta},T,varepsilon)) subject to the dynamics given by (3.1) and (3.2) in the interval ((0,1)).
The transformed equivalents for original values between the thresholds were calculated assuming a linear relationship.
In addition to leucocytes, some non-leucocytes such as melanocytes, breast cells and their transformed equivalents [ 8, 10], neurons [ 11], ECs (endothelial cells) [ 12] and lung fibroblasts [ 13] also express p110δ, albeit at lower levels than in leucocytes.
Next we give some useful theorems about writing the generalized differential transform in equivalent forms under certain conditions.
The four NAH methods considered in this study are based on: (1) spatial Fourier transform, (2) equivalent sources model, (3) boundary element methods and (4) statistically optimized NAH.
To quantify and characterise the nonlinear dynamic behaviour of built-up structures, a novel experimental procedure is introduced based on the wavelet transform providing equivalent modal parameters identification.
Then, the obtained fractional ordinary differential equations are transformed into equivalent Volterra integral equations.
With the worst-case approach, the SIP problems are transformed into equivalent convex optimization problems and solved by Lagrange dual decomposition method.
To cancel the MUI, we took the similar design concept from BD and thus the MU-MIMO channel can be transformed into equivalent SU-MIMO channels.
