Sentence examples for minimizes the functional from inspiring English sources
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).
A partition < V1, V2> that minimizes the functional c(V) over all partitions of V is called the minimal partition (of V).
The absence of oxygen in the PE feedstock minimizes the functional groups represented in the products and greatly simplifies the analysis.
The absence of oxygen in the naphtha feedstock minimizes the functional groups represented in the products and greatly simplifies the analysis.
and is the asymptotic center in which minimizes the functional (4.7).
By Lemma 2.3, system (1.1) has a unique solution u, and u minimizes the functional (2.2). □.
Figuring out the function f minimizing the functional E(f), requires complex processing operations.
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).
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.
