Sentence examples for arbitrarily spread from inspiring English sources

As discussed in [12], there are practical scenarios that involve vectors x with nonzero entries appearing in blocks (or clusters) rather than being arbitrarily spread throughout the vector.

In many practical applications, for example, DNA microarrays [12], face recognition [13], color imaging [14], image annotation [15], multi-response linear regression [16], etc., the non-zero entries of sparse signal can be aligned or classified into blocks, which means that they appear in regions in a regular order instead of arbitrarily spread throughout the vector.

As discussed in [16], there are also specific scenarios (e.g., the channel estimation of 60 GHz cluster-based propagations), where the vectors x involve nonzero entries only in some blocks (or clusters) rather than being arbitrarily spread throughout the whole vector [17].

Therefore, instead of arbitrarily spreading CPF residues measured in the 24-hr duplicate food samples across different eating events, we minimized the artificial variability and assigned it to a single bolus ingestion at 7 pm each day.

This work presents the development of Artificial Neural Networks for the analysis of any arbitrarily defined spread-mooring configuration for floating production systems (FPS), considering a given scenario characterized by the water depth, metocean data, characteristics of the platform hull, and the riser layout.

This was achieved by arbitrarily choosing 20th century paintings containing white, spread between 1920 and 2000.

On the other hand, if the quantum of core knowledge is deemed non-expansile – arbitrarily defined, for example, to represent the amount of knowledge capable of being instilled in an average student by x teaching hours per week spread over y years – then any expansion of non-core knowledge will cause the core to shrink as a proportion of total knowledge.

This method includes surface tension as well as gravity forces in order to model realistically the spreading on an arbitrarily inclined substrate.

Furthermore, the determined total SSA from this model is arbitrarily utilized to calculate the spreading pressure of probe vapors on aggregates, which does not comply with the multilayer adsorption theory.

More pointedly, he said Russia solidly opposed "spreading or applying the international antiterror operation to any arbitrarily chosen state, including Iraq".

This is even the case arbitrarily close after a sharp position measurement due to the instantaneous spreading of wave packets over all space.