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Exact(5)
Now pick the minimal point of this function.
However, the starting point of this function is origin.
Note that a fixed point of this function iteration must exist, since the original optimization problem has at least one local optimum.
When both the resistance and load term of the limit state function are random, a modified joint probability density function is formulated, and the design point is obtained by searching for the maximum point of this function.
For (Kin mathbf{H}_n) and (Yin mathbf{P}_n), the function begin{aligned} R mapsto mathrm{Tr}[RK] - mathrm{Tr}[Y f(R)] end{aligned}on ({overline{mathbf{P}_n}}) has a unique maximizer (R_{K,Y}) in ({overline{mathbf{P}_n}}) which is contained in (mathbf{P}_n), and (R_{K,Y}) is the unique critical point of this function in (mathbf{P}_n).
Similar(55)
Moreover, the change-points of this function are fixed at the inter-nodes of the underlying tree.
This set is called the fix point of the function.
In this form, the diagonal method provides a fixed point of the function d.
Such a point is called a fixed point of the function.
When, the unique minimum point of the function satisfies (3.13).
Assume that, the point (x1,..., x m ) is a nondegenerate critical point of the function.
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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