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The reactions were found to be overall second-order (first-order with respect to each component).
The systems were extensively characterized with respect to each component as well as the steel-coating interface.
To this end, first we calculate the first-order derivative of with respect to each component of, that is, for as follows: (B.6).
Similarly, we use an alternating strategy to minimize problem (21) with respect to each component separately: {mathbf{F}}^{k+1}= argkern0.24em underset{mathbf{F}}{min}mathrm{mathcal{L}}left(mathbf{F},{mathbf{B}}^k,{mathbf{Y}}^kright) (23) {mathbf{B}}^{k+1}= argkern0.24em underset{mathbf{B}}{min}mathrm{mathcal{L}}left(mathbf{B},{mathbf{F}}^{k+1},{mathbf{Y}}^kright) (24).
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Then, the a posteriori augmented track trajectory state PDF at scan k τ is a mixture of augmented track trajectory state estimates with respect to each new component.
Differences in baPWV and carotid IMT with respect to each MS component were tested using ANCOVA separately for individuals with and without diabetes.
In addition, we investigate this dependence with respect to each of the symptom-specific components that comprise the standard 17-item HAMD [13] composite assessment of depression.
Because the contour error is more important than the tracking error with respect to each feed drive, the contour error component is included in the proposed sliding surface.
This value indicates the magnitude of orientational fluctuations of the two protein components with respect to each other in the complex.
Matrix comparisons are suited for this problem because they can quantify integration patterns that may constrain morphological variability of the trait components with respect to each other [ 58, 80- 83].
Moreover, in the course of a few years, the components move with respect to each other along a line projected against the sky that points toward more extended structures known from other observations (e.g., large jets or lobes).
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