Lukasiewicz 1917-1920 Development of a well-founded three-valued logic... [Pg.22]

By substituting Eq. (9) into Eq. (10), one obtains three simultaneous equations with three unknowns which can be solved numerically. The power series representation of the three values of W y can be approximated in several ways. For systems with only one acid component (c.g, silica) and with the remaining components being basic, a logical representation is the asymmetric approximation. If we choose SiO2 to be component 1, then we set... [Pg.188]

In the sequel we describe the problem of inconsistent switching and briefly introduce Filippov s approach. On this basis we construct an automatic treatment of this situation by a generalized three-valued switching logic. [Pg.214]

Treatment of Inconsistent Switching by a Generalized Three-valued Switching Logic... [Pg.216]

The three-value logic system is dedaied as a subt) of ihe stdjogc type and called XOI. Its declaration is located in the IEEE package STD LOGIC l I64. [Pg.219]

If we assume that only a three-valued logic system is being used in die above example, the states 0, I and X could occur. The assignment statement could then be expanded to provide coverage for the extra state as follows. [Pg.222]

Thus, propanol, C3H70H, has a membership of 1 in the three-carbon molecule class, while ethanol, C2H5OH, has a membership of 0 in the same class. As the membership in a crisp set must take one of only two possible values, Boolean (two-valued) logic can be used to manipulate crisp sets. If all the knowledge that we have can be described by placing objects in sets that are separated by crisp divisions, the sort of rule-based approach to the development of an expert system described in the previous chapter is appropriate. [Pg.240]

The logical condition, called a disjunction, means that exactly one of the three sets of conditions in brackets must be true the logical variable must be true, the constraint must be satisfied, and c must have the specified value. Note that c appears in the objective function. There are additional constraints on x here these are simple bounds, but in general they can be linear or nonlinear inequalities. The single inequality constraint in each bracket may be replaced by several different inequalities. There... [Pg.371]

AND gate 4 differs from 3 in several aspects of performance and design. Experimentally, 4 produces a virtually perfect truth table The output logic 1 state has a fluorescence quantum yield (< >f) of 0.22 and the three logic 0 states do not rise above a cj>f value of 0.009. A fluorescence enhancement (FE) factor exceeding an order of magnitude such as this is a joy to work with since the switching phenomena are so clearly visible. [Pg.311]

The values of these three parameters are all negative, as expected for a spontaneous transformation. It is also logical that entropy is decreased when the analyte moves from the mobile phase into the stationary phase where it is essentially fixed. Because of this, Van t Hoff s equation can be used in a fairly rigorous way to predict the effect of the temperature on the retention times of the analytes. [Pg.11]

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