Sentence examples for maximum number of dimensions from inspiring English sources

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The maximum number of dimensions allowed in the theories is 11, and there are indications that a viable and unique unified theory that describes all particles and forces may be based in 11 dimensions.

A perfect adaptation would comply with the number of chosen dimensions, where the maximum number of dimensions matches the sum of all linear combinations of variable characteristics from the sets.

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When the estimator uses the timing offset dimension as a primary dimension, the maximum number of RSSs, which is almost surely uniquely identifiable, is derived as [19], Equation (31): (44).

When values of global fractal dimension, maximum number of intersections, and critical radius for prenatal at 41 gw (Table 2) are compared with those of adults [ 7] the following emerges: (i) the global fractal dimension is essentially the same (1.32 versus 1.30); (ii) the critical radius is also essentially the same (42  μm versus 43).

For a 2-D system the number is 6 and for a 3-D system the number is 12. 13 As AgNPs would have both 2-D (adjacent to the surface) and 3-D dimensions, the maximum number of Hg atoms around each Ag atom could be between 6 and 12.

The number of rows Q represents the maximum number of peaks eluting along the second dimension within the (GCtimes GC) ROI.

By means of these quantitative techniques, three parameters were obtained: the global fractal dimension (D), maximum number of intersections (N m ), and critical radius (r c ).

Also, the increase of critical radius saturates at 19.5 gw values, while values of the global fractal dimension and maximum number of intersections continue to increase up to 27.5 gw and values of the neuron area increase during the entire examined period.

Let be the number of data points in the most populous multimodal cluster, Kmax be the upper bound on the number of resulting split clusters from a single multimodal cluster, Km be the number of such multimodal clusters, d be the number of dimensions, and Tmax be the maximum number of EM iterations allowed.

The maximum number of peaks is computed across all second dimension indices within the (GCtimes GC) ROI.

The VC dimension is the maximum number of training samples that can be learned by a learning machine without error for all possible labeling of the classification functions f x, α), and is, therefore, a measure of the capacity of the learning machine.

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