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He played strong, full-bodied notes and mewling ones; he feinted with short, inconclusive upward runs; he found some continuous logic for long lines and went the other way toward nubby, repeated riffs, rhythm-and-blues style; he referenced the melodies of a couple of old standards; he played notes with overtones, and found a bouncing point on a single deep, massive foghorn blast.
"Tea for Two" began on the lower half of the piano, slowly working its way up to the brighter keys and kept up chorus after chorus of continuous logic, almost obliterating the melody with ornament, then finally gearing down for a cool, spacious interlude.
Fuzzy logic and mixed discrete continuous logic can closely approximate the real response (orange dashed line).
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In the same way, in the continuous logic-based ODE model, important properties of the Boolean model (and of the interaction graph) it is derived from are conserved.
A key strength of the toolkit formed by CellNOptR, CNORdt, CNORode and CNORfuzzy is that it covers multiple logic modeling formalisms (Boolean steady-state, Boolean multiple steady-state, Boolean time courses through synchronous update, steady-state constrained fuzzy logic and continuous logic-based ODEs).
This observation calls into question rule extraction methodologies based on pruning, since this practice can lock the network into a subspace of achievable continuous valued logic functions that prevent it from mapping the simplest logic to explain the data.
Fitting the continuous valid logic of the exclusive OR (XOR) problem requires more than a minimal neural network configuration.
Next a property representing a performance constraint is evaluated applying Continuous Stochastic Logic CSL formula on the CTMC model using the probabilistic model checker PRISM.
Further, the planning model proposes a continuous calculation logic that aggregates investment outflows and performance effects across multiple processes, projects, and periods into the value contribution, an integrated performance indicator that complies with the principles of VBM.
For biological applications a CTMC is typically chosen as an underlying mathematical model and its properties are specified in a continuous time logic, for instance in CSL.
In more general approaches, the variables can take an arbitrary number of discrete (multi-valued logical models; see [ 36]) or even continuous values (fuzzy logic models; see, e.g., [ 75, 76]).
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