Sentence examples for spaces explicitly from inspiring English sources

This question (together with the same question for uniformly smooth spaces) explicitly appeared in a survey about Metric Fixed Point Theory for multivalued mappings published by Xu [24] in 2000.

Traditional representation of Boolean functions generates redundant state spaces explicitly when exploring state spaces.

However, these applications of liminality tend to be in medium-scale spaces explicitly positioned as alternative, such as festivals or tourist destinations.

M3 can generalize any linear classifier to nonlinear by transforming data into some low-dimensional feature space explicitly.

The presented SSC SR method is based on resolving the discontinuity location in the probability space explicitly as function of the spatial coordinates and extending the stochastic response surface approximations up to the predicted discontinuity location.

If we wish to include gaps we need to construct the feature space explicitly: We can think of a feature space mapping where each position in a biological sequence can either be retained, substituted or deleted using some intermediate alphabet <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0015788.e023.PNG" class= inline-graphic"/>.

This implication is important, since to our knowledge there are only a few works considering space explicitly in such a framework.

30 Ordinary differential equations, which abstract interactions occurring in physical space through the use of contact frequency terms, are suitable in many cases to model biological systems, and can be transformed into partial differential equations to incorporate space explicitly.

A generation of young women are growing up with feminism as the default in women's online spaces, and explicitly feminist blogs and communities at their fingertips.

The new space policy explicitly says that Washington will "consider proposals and concepts for arms control measures if they are equitable, effectively verifiable and enhance the national security of the United States and its allies".

We present several modifications for the original NDT mapping to handle free-space measurements explicitly.