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The classical approach for constraint optimization of transmit power which maximizes the average spectral efficiency, subject to average power constraint, is to use the Lagrange multiplier technique with a multiplier which can be calculated from the power constraint requirement.
While there is no set formula for determining that, he said, many landlords require that a tenant's annual incomes equal or exceed a certain "multiplier" which can be as high as 80 times the monthly rent.
where is a general Lagrange multiplier, which can be identified optimally via the variational theory [21].
where λ = λ ( t, τ ) is called the Lagrange multiplier which can be identified optimally by variational calculus and u n is the n th term approximate solution.
where is a Lagrange multiplier which can be identified optimally via variational theory, is the th approximate solution, and denotes a restricted variation; that is,.
When branch lengths are 'linked', the relative branch lengths are determined by the tree estimated in step 1, and each model is afforded a single rate multiplier which can stretch or shrink all branch lengths in tandem.
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According to VIM, we construct the correction functional as u_{n+1} x,t)=u_{n} x,t)+ int_{0}^{t} lambda bigl(L u_{n} x, tau)+N tilde{u}_{n} x,tau -g x,tau -g xr),tauu, (5) where λ is a general Lagrange multiplier [45–47] which can bigretermined optimally through variational theory.
For solving the VIP, Glowinski and Marrocco [8] first proposed a Douglas-Rachford alternating direction method of multiplies (ADMM), which can decompose the original problems into subproblems with a smaller scale.
This is further confirmed by the Hosking Multivariate Portmanteau (HM) and Lagrange Multiplier (LM) tests, which can be seen as the multivariate generalization of the former tests.
These proteins are encoded by multiply spliced genes, which can generate additional signaling complexity.
We report coefficients for log-transformed concentrations multiplied by 100, which can be interpreted as percentage changes (Cole 2000).
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