Sentence examples for patterns of dimension from inspiring English sources

For instance, the patterns could simply be composed of the first, say, n samples in c k), producing patterns of dimension nK of the form mathbf{x}=left(c_{1}^{k_{1}},dots,c_{n}^{k_{1}},dots,c_{1}^{k_{K}},dots,c_{n}^{k_{K}}right), where k 1,…,k K depict the K location indices where sensors are deployed.

If these means are taken over, say, m elements, the resulting patterns of dimension (lceil frac {n}{m}rceil K), where ⌈·⌉ denotes rounding up to the next integer, take the form begin{aligned} mathbf{x}=&;left(frac{1}{m}sumlimits_{t=1}^{k_{_{t}^{k_{1}}, dots,frac{1}{m}sumlimits_{t=m n-1)+1}^{mn}c_{t=m n-11}},right.dots, &quadfrac{1}{m}sumlimits_{t=1}^{k_{_{t}^{k_{K}}, left.

We will use multilevel Latent Class analysis (LC) developed by Asparouhov and Muthen [ 17], and Vermunt [ 18] as this approach allows for the identification of classes of families with similar patterns of symptom dimension scores in subjects belonging to these families.

The patterns of item-dimension scales correlations support both IIC and IDV.

In an investigation of 295 movies released from 1915 to 2015, we find that the film-length patterns of these four dimensions of movies have converged over the last 50 80 years on temporal fractal patterns (1/f) and we find others that have not.

Electrostatic charging can be generated by various methods (laser, ion, or electron beam illumination, diverse electrodes, etc).. Charged patterns of sub-micrometer dimensions can be created using nanometer-sized probes, such as those employed in atomic force microscopy (AFM) [4, 5].

The loading patterns of these two dimensions are similar to those reported elsewhere, and are generally believed to reflect locomotor activity and emotional reactivity, respectively [ 77, 78].

This method allows the patterning of three dimensions, with feature sizes down to 6 nm [7].

To assess ideation, we have developed the notion of Design Flow, which considers the pattern of multiple dimensions involved in ideation.

The pattern of impaired dimensions in the IBDQ-36 showed that the bowel symptoms score was the least impaired at the beginning of treatment.

A calibration object (a plane with a checkerboard pattern of known dimensions) was imaged at 12 different positions in the camera's field of view.