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These methods split a biomacromolecular structure into slices along a start vector defined by the user and then optimization methods are used to determine the largest sphere.
A circular pattern is applied to create a bundle of vector lines from the start vector line to the end vector line.
In order to reserve a blank area as mentioned above, an angle formed by two vectors, i.e. reference vector and start vector line, is defined.
Imbalance ( 0, 2, 0, 50, 0 ) T, start vector ( 0, 0, 0, 51.5, − 4.8 ) T. As mentioned in the Introduction, the problem of simultaneous reconstruction of mass imbalances and pitch angle deviation was already treated in [5].
If we apply a sufficiently small perturbation to the system, and set the obtained value as the new start vector, this last inequality will still hold due to the continuity of the functions.
Based on the assumption that the modeled system is memoryless (Markov property, [ 4]), the basic model equation consists in multiplying a "start" vector, providing the state of the system at a given time, with a typically square "step" matrix.
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The reconstruction results for both start vectors are presented in Figure 8 and Table 2.
The acquired data are used in a two-stage damage identification procedure, in which suitable start vectors are found by the evaluation of objective function plots.
A first investigation uses the special starting vector with the calculated monthly parameters (lambda _j), (k_j) and (c_j) ((jin { 1,ldots,12})) and sets (ell _{text {max}}=1), i.e. the optimization problem (4) is only solved with this special starting vector.
The problem is solved using the direct iteration technique (DIT), with a geometrically linear fundamental mode shape as a starting vector.
In this paper, we also develop two new alternative methods for choosing a common starting vector for all the transport species.
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