Sentence examples for be of the same dimension from inspiring English sources

Viète retained the classical principle of homogeneity, according to which terms added together must all be of the same dimension.

Thus, Viète did not break the important Greek tradition whereby the terms equated must always be of the same dimension.

The core-shell cylinders are assumed to be of the same dimension and composition.

Yet, the recent invasion of Europe by Ae. albopictus mosquitoes (5 ) and the marked ecology of this mosquito make emergence of a new DF epidemic possible, even if the impact of such an event is not expected to be of the same dimension as the epidemic described here.

ReprintsBecause the upper layer is so thin, connections to circuits can be of the same dimensions as would be found in a chip of only a single layer.

After 3 days of weathering, the uncoated part of glass M1 shows a higher number of crystals that appear to be of the same dimensions as described before.

The top and bottom sides should ideally be of the same dimensions to promote even plant growth and nutrient distribution.

In our study, it is of the same dimension as of the bottom photovoltaic panel.

Let us consider the case where both and are of the same dimension.

In homogeneous transfer learning, the feature spaces of the data in the source and target domains are represented by the same attributes (Xs = Xt) and labels (Ys = Yt) while the space itself is of the same dimension (d s = d t).

From isomorphisms (5.2), sequence (5.4), and sequence (5.5), it follows that the spaces H i ( C · ) Open image in new window and H i ( ( X, Y ), R ) Open image in new window are of the same dimension for each i.