Sentence examples for observable into from inspiring English sources

This decomposition of an observable into a set of operators that represent measurement outcomes (or more formally, POVM elements [30]), is not unique.

In addition, we decompose the observable into orthogonal projectors representing individual measurement outcomes (O = sum_{m=1}^{M} theta_{m} P_{m}) with (P_{m} P_{n} = P_{m} delta_{mn}).1.1

However, modifying the method of delays by incorporating values from an additional observable into the vectors used for reconstructing the phase space produce results in accordance with those from the full-phase space.

It is the partition of the algebra Aloc of all local observables into subalgebras which contains physical information about the observables, i.e., it is the net structure of algebras which matters.

We parsed the time series data (30 trajectories measured over 24 hours for each of three observables) into a 'short-term' set taken well before steady-state is reached (first 11 hours after t0, the onset of starvation though we could have taken any endpoint between 8 and 19 hours and obtained the same result (see panel (b) in Section S3)) and an 'long-term' set.

The presented procedure can be generally applied to systems that allow for dividing observables into sets of free quantities, which are easily measurable, and variables dependent on those.

Proper handling and integrative analysis of such molecular data space characterizing microbial communities has allowed embedding phenotypic observables into various theoretical frameworks as the evolutionary selection for cooperation [ 6], the public goods dilemma in consortia [ 7], or avoidance of evolutionary traps [ 8].

Construct validity was assessed using factor analysis that combines observable variables into unobservable, latent variables, giving insights into the theoretical model of some construct [ 3, 14].

We first define the belief about channel states, converting the partial observable state into a completely observable state.

Thus, although Au NPs were retained in the gut lumen, there was no observable internalization into the gut epithelial cells.

In 2004 McGregor et al. [21] applied the EM algorithm to cluster traffic with similar observable properties into HTTP, FTP, SMTP, IMAP, NTP and DNS traffic.