Sentence examples for dimensions of a set from inspiring English sources

Our objective was to investigate the impact of the variability of some geometrical dimensions of a set of tubing vials commonly used for pharmaceuticals production on the distribution of the vial heat transfer coefficients (Kv) and its potential consequence on product temperature.

The new design should work with devices going forward, too, unlike previous Apple docks, because it features a freestanding Lightning connector that doesn't require your device to fit the dimensions of a set slot.

One of the greatest mathematicians of his day, Lebesgue made an important contribution to topology with his covering theorem (which helps define the dimension of a set).

Informally, the VC-dimension of a set system is a mathematical way of characterizing the "regularity" of the sets in (with respect to the points ) in the system.

The VC-dimension of a set system is the cardinality of the largest set of points in that can be shattered by.

Investigating this question can lead to a way of choosing q, and, more generally, to the way of finding the intrinsic dimension of a set of points.

Similarly, define the mapping Exp : R m → R + m, x ↦ Exp (x ), as the mapping for which the i-th component is given by (Exp(x)) i :=exp(x i ). 1 m denotes a vector of dimension m with all entries equal to 1 and dim V) denotes the dimension of a set V. In this section, we introduce the concept of a complex graph which was first introduced in the work of Horn & Jackson and Feinberg [ 28- 30].

The choice of the optimal return period is made minimizing the total costs of the system: the sewer network is dimensioned for a set of possible design rainfall return periods, and the corresponding construction, maintenance and operation costs are evaluated.

Although reducing the VRS dimension to a set of items tapping only visual alterations would markedly increase its homogeneity, our results indicate that such a construct would still be difficult to separate from the OBN dimension on a high level of the construct hierarchy – especially when potential method effects of similarly worded VRS items are taken into account.

Contextual self-organizing maps offer a way to represent and interact with all dimensions of a data set simultaneously.

This approach reduces the dimensions of a data set in which there are a large number of interrelated variables, while still holding as much of the total variation as possible.