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In other words, quite different (g ( t )) functions can minimize the functional (1.5).
We take (alpha > 0) as a regularization parameter and minimize the functional (7.4) using the minimizing sequence by (6.14) for (beta = 0.2).
Fixing ϕ, we minimize the functional E ϕ, h 1, h 2) with respect to the functions h 1 x) and h 2 x).
A stochastic velocity Monte-Carlo algorithm is used to minimize the functional in each time step.
An improved design architecture method to minimize the functional complexity of PPS Plant Protection Systemm) is proposed in this work.
In order to minimize the functional, the gradient has to be computed.
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Figuring out the function f minimizing the functional E(f), requires complex processing operations.
The calculus of variations can be used to find the function F z) that minimizes the functional J(F) defined as follows: J ( F ) = ∫ Z I z, F ( z ), ∂F ( z ) ∂ z 1, ∂F ( z ) ∂ z 2, …, ∂F ( z ) ∂ z L d z, (6).
To understand why observe that minimizing the functional above is equivalent to finding a minimizer (f_j) of the functional begin{aligned} frac{1}{2}int _{Omega }|nabla f|^2,dx-int _{Omega }f,dx+|alpha ({f>0} -alpha (Omega _j)| + Lambda big ||{f>0} -alphag | end{aligned} (6.41)amOmegall functions with a support of finite measure.
A partition < V1, V2> that minimizes the functional c(V) over all partitions of V is called the minimal partition (of V).
By minimizing the functional the identification parameters are obtained.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com