Sampling scheme

Siepmann J I and Frenkel D 1992 Configurational bias Monte Carlo—a new sampling scheme for flexible chains Moi. Phys. 75 59-70... 

Siepmann J I and D Frenkel 1992. Configurational Bias Monte Carlo A New Sampling Scheme f Flexible Chains. Molecular Physics 75 59-70. 

Systematic-judgmental sampling scheme for monitoring the leaching of pollutants from a landfill. Sites where samples are collected are represented by the solid dots. 

Further experiments with labeled precursors were necessary to shed a little more light on this puzzling observation. Pyramine, biosynthesized from AIRs labeled with, 4C on C-l on the ribose part, exhibited only marginal radioactivity. This result rules out C-l of ribose in AIRs as a precursor of pyramine. This conclusion was confirmed with a precursor labeled at the C-l position with the stable l3C isotope. The mass spectrum of the ethylthio derivative of pyramine was identical with that of an unlabeled sample (Scheme 9). 

The expectation values on the right hand side of this equation depend only on the ensemble averages of position and momentum operators, which can be evaluated using the VQRS Monte-Carlo sampling scheme outlined above. 

Once the immunoassay that meets the study objectives has been identified, sample collection begins. Proper sampling is critical in order to obtain meaningful results from any type of analytical assay. An appropriate sampling scheme will support the objective of the test. For example, a plant breeder may take a single leaf punch to determine quickly whether a specific protein has been expressed in an experimental plant. A more complex sampling regime would be used to determine the expression... 

An approach useful in field-sampling surrounding a treated field is illustrated in Figure 6. Designing a sampling scheme requires an understanding of the predominant wind pattern. In this example, the predominant wind flow is from the south moving... 

Fig. 3.36. Normal pulse polarography, (a) sampling scheme, (b) current sampled. 

Fig. 3.56. Sampling scheme of differential double-pulse voltammetry.

Fig. 2A. Sampling schemes for bulk analysis (a) and for testing homogeneity of several batches (b), according to Danzer [1995a] and following Horwitz [1990]... 

There are various types of samples within given sampling schemes, e.g., bulk samples > primary samples > gross samples > subsamples > test samples > measuring samples —Fig. 2.4... 

ADC sampling rate, and is producing the fundamental wave at a quarter (20 MHz) of the ADC sampling rate. In this very configuration can one extend the intermediate frequency in the simple way that was described above, by utilizing the DDS-image frequency and the super-Nyquist sampling scheme. 

Banin et al. (1987) proposed a thin-horizon sampling approach to study the effects of traffic sources and atmospheric fallouts on soils in the arid zone of Israel. They pointed out that the large and systematic variability in the concentrations of the atmophile elements in the soil would be masked if a more conventional and less-detailed sampling scheme was used. The measured Pb concentration varied between 209 mg/kg in the top layer of an arid soil near the road in Israel and 66 mg/kg at a depth of 20 cm (Banin et al., 1987). If the profile had been sampled as one 0-20 cm horizon, the weighed average concentration observed would have been 76.3 mg/kg Pb. If it had been sampled in two 10-cm thick horizons, the concentrations would have been estimated to be 86.6 and 66 mg/kg in the top and bottom horizons, respectively (Banin et al., 1987). This distribution would strongly affect the bioavailability in arid soils. 

In contrast to the weights formalism, the partition function approach directly employs the ideal flat-histogram expression in (3.36). Its goal is not to determine q but Q(N. V, T) directly, or more precisely in this case, the N dependence of Q. Due to numerical reasons, we usually work instead with the associated thermodynamic potential which is the logarithm of the partition function of interest in this case it is In Q = — 7/1 =. A, where we have used script i as an abbreviation. Thus our sampling scheme becomes... 

If we wish to generate a uniform distribution in all of the macrostates that fluctuate during the simulation (in this case both N and U), the same arguments necessitate the following microstate sampling scheme ... 

If the sampling scheme is changed, C(I, J) can continue to be updated with an adjusted acc provided that the distribution of states within the macrostates does not change. This would not be the case, for example, if we were only monitoring transition probabilities between particle numbers and the temperature changed, as it would redistribute the microstate probabilities within each value of N. 

Athbnes, M., A path-sampling scheme for computing thermodynamic properties of a many-body system in a generalized ensemble, Eur. Phys. J. B 2004, 38, 651-663... 

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