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The proposed score-type test admits normal approximations even in the presence of high dimensional variables.
The dispersion of the other particles is due to the combined influence of chemical and dimensional variables.
On the other hand, Stancu [13] first introduced linear positive operators in two and several dimensional variables.
With the above equations, we illustrate the algorithmic description of our approach in Figure 4. Here, γ and d* are dimensional variables, and || denotes binary concatenation operator.
k-Means clustering using n variables acquired from multidimensional scaling of N dimensional variables in the matrix was performed to select representative conformers.
For convenience later, we also recall the following convexity concepts and Jensen's inequalities in n dimensional variables; see [19] for details.
Similar(32)
A non-dimensionalization of the the stress (e.g., equation of motion), using non-dimensional variables as t* = t/λ and, can be applied.
On the right-hand side, a sum of two three-dimensional magnitudes (a third power) was divided by a product of two one-dimensional variables (which make a square), leaving one dimension.
We introduce the non-dimensional variables left.
In terms of these non-dimensional variables, Eqs.
The results are represented by non-dimensional variables.
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