Sentence examples for by a unique order from inspiring English sources

In this model, each grain and particle is represented by a unique order parameter.

In order to make any sense out of a twelve-tone piece, you first have to find out its tone row — the sequence in which the twelve notes of the Western scale are selected by the composer into a unique order in which no pitch is repeated.

Since all the variables have been found to be integrated of a unique order we have identified the long run relationship among them by establishing the panel cointegration.

This is probably a unique order in the investment jungle.

It will be assumed further that the changes must proceed in a unique order.

They are aperiodic and hence do not admit to a unique ordering, in contrast with the Fourier basis in which sinusoids are ordered by increasing frequency.

Figure 6 System ( 1 ) has a unique order-one solution.

Inferences are supported by a unique priority ordering on rules which is syntactically derived from the knowledge base.

This is achieved by a unique initial ordering of the class centroids and covariance matrices among all nodes in the network: starting with the class centroids and covariance matrices stored for the first class of a preset reference node, all other nodes calculate the Euclidean distance of the respective entries corresponding to all stored classes and those of the first class of the reference node.

Interviewers are identified by a unique identifier, according to the order of quotes provided in this paper (e.g. Int1 or Int2), to enable the reader to observe quotes from the same interviewer.

Joyce modifies Bolker's result to show that given these additional axioms, the "more likely than" relation is represented by a unique $P$, and the preference ordering is represented by $P$ together with a utility function that is unique up to positive linear transformation.