Sentence examples for trace sum of from inspiring English sources

A new method of testing completeness of a kinetic description was proposed, using the properties of the trace sum of components, i.e., the sum of all concentration dependences, each of which is started from maximal initial concentration.

Information about the preparation of a quantum system is often expressed using a density operator $\rho$, a positive semidefinite operator (Hermitian with nonnegative eigenvalues) with trace (sum of the eigenvalues) equal to 1, used as a pre-probability in the terminology of Sec.

The matrix L k is a block matrix and the trace is the sum of the traces of the blocks.

Results from the method developed were included in two numerical procedures, ray-tracing and the sum-of-squares.

The pO2 trace representing the sum of the normalised pO2 traces is plotted in Figure 2.

(iii) The trace is the sum of the directional spreads [46] at Rx and Tx plus the (normalized) delay spread.

The respective cost function are formed from (103) as either the trace or the sum of all elements of this matrix.

where m is the attribute mixing matrix, Trace is the sum of the diagonal from top left to bottom right, and ||m|| is the sum of all cells in the matrix (see Newman 2003 for details).

Referring to the previous case, the IGpe is represented by (7 where trace denotes the sum of the diagonal elements and is an invariant parameter for a unitary transformation, and represent the eigenvalues of C. Comparing Eqs.

The shown 10 kHz optical trace is a sum of four such recordings; the raw data can be downloaded from the project web site.

The normalized kernel matrix <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0010225.e019.PNG" class= inline-graphic"/> was therefore considered, defined as <img src="http://journals.plos.org/plosone/article/asset?id=info:doi/10.1371/journal.pone.0010225.e020.PNG" class="inline-graphic"/> with trace(K) the sum of the diagonal elements of K.