Sentence examples for computations illustrated from inspiring English sources

Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.

In general, the computations illustrated by the quantum circuits should be performed (O(P (1-P) frac{1}{varepsilon ^2})) times to obtain probability P distribution with accuracy (varepsilon ).

With regard to ranolazine, the computations illustrated why the compound could be safe by showing that the prolongation of the repolarization time it induces would not cause early afterdepolarizations (these are believed to precede the onset of TdP).

Then, for the combustor geometry and operating point studied, computations illustrate that radiation plays an important role in the wall temperature distribution.

Computations illustrate the construction of the two-period frontier.

Values used in the computations are presented in Appendix 2. Results of the computations illustrate that, in the absence of phosphate, As III) and As V) adsorb extensively onto hydrous ferric oxide so that concentrations of both species are maintained at extremely low levels (well below the analytical detection limit) throughout the pH range 5 7 (Fig. 4).

This computation illustrates the sensitivity of individual features to specific harmonic components of the surface, for surface plasmon resonances recorded in both the zeroth and higher diffracted orders.

The structure of this computation illustrates some of the difficulties in testing for GC.

The computation is illustrated in Fig. 7. Figure 5(D) shows the flow map computed from the longest vessel in Fig. 5(C).

The results of this computation are illustrated in Figure 5B.

The performance results on the random sets of different combinations of the three stages of the distance computation are illustrated in Table 5.