Your English writing platform
Free sign upSuggestions(5)
Exact(5)
Then, the inverse problem of damage identification is defined as an optimization one, where the objective is to minimize, with respect to the nodal cohesion parameters, a functional based on the difference between the experimentally obtained flexibility matrix and the corresponding one predicted by a finite element model of the structure.
Putting very simply, the object is to minimize with respect to, assuming that and the parameter are fixed and known.
The iterative algorithm needs the Hessian matrix inversion, which contains the partial derivatives of the J criterion to minimize with respect to parameters.
The distance that l is supposed to minimize with respect to the data is the sum of the squared errors which leads to the well-known problem of least squares.
Omitting details, we begin by converting (4) into an equivalent unconstrained problem: namely, minimize (with respect to w∈ℝ n ), (5) Next, we use strong duality from optimization theory in order to derive an upper bound B on the norm of the optimal solution of our unconstrained problem (Appendix C.1).
Similar(55)
Theorem 2. For a given set of forwarding nodes whose corresponding is, respectively, is minimized with respect to if and only if the are ordered in an increasing order such that the higher priority is given to the node with the smaller.
When the values of these decision variables are added to the point cloud elevations of their respective LiDAR strips, the systematic step errors among adjoining strips are minimized with respect to the elevations provided by the point cloud of the benchmark strip.
The eigenvalues are then minimized with respect to γ.
Specifically, the sum of the squared residual error of the model predictions from the first iteration strains was minimized with respect to the previously described parameters.
We propose Wilks' lambda as a criterion to be minimized with respect to variable weights w1,…,wm.
The governing functional is minimized with respect to the unknown coefficient of the coordinate function and with respect to the exponential parameter.
More suggestions(3)
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com