Result algorithm

Figure 5 shows an example of blind deconvolution by the resulting algorithm applied to simulated data. Of course the interest of blind deconvolution is not restricted to astronomy and it can be applied to other cases for which the instrumental response cannot be properly calibrated for instance in medical imaging (see Fig. 6a and Fig. 6b). 

The quantity of natural sulfur emitted to the atmosphere is dependent upon the availability of sulfur, the level of natural sulfur-reducing activity, and the environment into which the gases are released. At present, there is a lack of information on specific mechanisms of biological sulfur release. As a result, algorithms designed to predict natural sulfur emissions must be empirically based on analyses of correlations between observed natural sulfur emissions and environmental parameters. In order to extrapolate the available emission rate data, emission functions must be based upon parameters which are measurable and available on an appropriate scale of temporal and spatial resolution. 

The resulting algorithms in FRACHEM/ECES allow for the solution of a wide number of different types of problems involving ionic and chemical equilibria using an established thermodynamic framework that describes with rigor the behavior of the electrolyte system. An example of such an application is an ammonia-carbon dioxide scrubber which is described in Appendix 1. For this case, no attempt was made at improving the initialization and 11 iterations were required with a moderate amount of speed control in the overall model solution. 

To compare the lethal effect of a sterilization performed for any given time tx at any temperature Tx (which may vary over the time t, it is very useful to be able to express this lethal effect by relating it by calculation to a given reference temperature. When this reference temperature is 121 °C (or, more exactly, 121.11°C, which correspond to 250°F) and c is assumed to be 10 (or 18 if the temperature is expressed in °F), the resulting algorithm is known as Fq and is expressed by ... 

The algorithm for computing all these public results is called the result algorithm,... 

Definition 7.2. The components of a standard fail-stop signature scheme with an arbitrary number of risk bearers for a non-empty message space M c 0, 1 and a non-empty set MessageJbounds c IN u oo are defined as in Definition 7.1, except for the key-generation protocol Gen. It is still defined as a triple (A, B, res), where res is called the result algorithm The differences are ... 

In this chapter, we present a rigorous formulation of the relativistic theory of atomic and molecular stmcture that is both simple and transparent. The resulting algorithms are fast and accurate, and require only modest computational resources, so that they constitute a new and powerful resource for quantum chemists. The formalism of QED is used to write down equations for the... 

The Newton-Raphson method is formulated first for an absorber in which one chemical reaction occurs per plate. Then, the method is modified as required to describe distillation columns in which chemical reactions occur. Although the resulting algorithm is readily applied to systems which are characterized by nonideal solution behavior, it is an exact application of the Newton-Raphson method for those systems in which ideal or near ideal solution behavior exists throughout the column. The algorithm presented is recommended for absorption-type columns which exhibit ideal or near ideal solution behavior. 

If the iterations are not fully accomphshed, the system (2.225) is not accurately solved and the resulting algorithm is an explicit algorithm (even though computationally heavy), which does not have the stabihty features of the implicit method used in the iterations. 

Now we have scheduled and indicated complete Ust of possible inputs into the decision-making process. We have to mark possible outputs of resulting algorithm. Outputs will be similar marked for every logical operation (LOGl, LOG2 and LOG3). List of outputs looks as follows ... 

Tables 1.1 and 1.2 have the results of some explorations of the SSp for markings with certain cardinality, using the breadth-first (upper result) and depth-first (lower result) algorithms.

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