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We can calculate the expectation value on the one hand from the diagonal ensemble and on the other hand from a canonical ensemble with the same mean-energy.

For the unrestrained simulations, the entire system was minimized and the solvent environment was equilibrated for 20 ps using a constant-pressure and -temperature (NPT) ensemble with the same harmonic restraint on the solute non-hydrogen atoms, and a weak center-of-mass restraint on all DNA non-hydrogen atoms (1 kcal mol 1 Å–2) to prevent a drift to the edges of the solvent box.

Simulation and t-test results on four large-scale benchmark classification data sets demonstrated that, in most cases, nBBC-ICBP-ES significantly improved the classification and generalization performances of the two typically large single ICBPs, Same-2Nh-ICBP-ES (i.e., an ensemble system with the same 2Nh ICBP components), conventional Bagging and AdaBoost ensemble.

Bradwell's vision had been of a politically motivated, actor-led touring ensemble, conceived with the same flush of early 1970s idealism that spawned theatre companies such as 7 84.

However, the four types of MaSp2 ensembles are more variable than those of MaSp1, with pairwise amino acid differences between ensembles of the same type as high as 36% (Table 2).

This distribution is computed from the quantum-mechanical wave function, and it is typically interpreted as ignorance over the actual position of the pair; an ignorance that may be motivated by dynamical considerations and statistical patterns exhibited by ensembles of pairs with the same wave function (for more details, see the entry on bohmian mechanics, section 9).

A childlike view of heaven, with clouds of blue chiffon suspended above a female ensemble in the same chiffon, ushered in a startling passage.

Since cell differentiation happens at the cell population level and our gene network model only represents one single cell, the simulation is carried out in a small ensemble of cells with the same initial conditions.

An ensemble of CARTs with the same parameters as that fitted to the full data was then fitted to the training set, and interactions were evaluated in the validation set.

Worthy of mention is the lack of performance improvement (data not shown) of homo-ensembles (i.e ensembles created with models trained with the same algorithm but with different parameter values) with respect to the most predictive single models (Table 2A and Figure 4), as the difference in (R^{2}_{0 test}) and RMSEtest values was below 0.01 for both metrics.

a. Ensemble PCRs in the same conditions established before using decreased quantities of target with different dilutions of competitor with replicas for each point.

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