generalized value realization of the Boolean functionsThe value of the complex Boolean function can be calculated directly on the basis of its components value. It is a principle known as the truth functionality. Properties of the Boolean algebra have indifferent values. The truth functional principle...
aAt this point in time, you should be able to sketch the logic symbol, truth table and write the Boolean Algebra statement for any of the seven basic gates. If you cannot do this, you need to go back to Module #1 and review this material one more time. Without this knowledge, the ma...
And given this correspondence, we can start applying ideas from physics—like ones about spacetime and quantum mechanics—to questions of expression evaluation. Some of what this will lead us to is deeply abstract. But some of it has immediate practical implications, notably for parallel, distribute...
Chapter 1 reviews some elementary facts and properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the ...
Radojević, D. G. (2014). Structural Functionality as a Fundamental Property of Boolean Algebra and Base for Its Real-Valued Realizations. In Information Processing and Management of Uncertainty in Knowledge-Based Systems (pp. 28-36). Springer International Publishing....
Process of updating inference when a new knowledge is supplemented. Techniques of calculating membership values in extended fuzzy subsets on condition that some truth values are given; Boolean properties concerning extended fuzzy subsets. How to advance fuzzy inference on the Boolean fuzzy logic....
When the algebra of partitions on a set was developed alongside the Boolean algebra of subsets of a set, then it became clear that there is a more ‘granular’ form of the subsets–partitions duality, namely, the duality between the elements of a subset and the “distinctions” of a ...
Some basic universal mapping properties in the category of 𝑆𝑒𝑡𝑠 are developed that precede the abstract duality of category theory. But by far the main application is to the clarification and interpretation of quantum mechanics. Since classical mechanics illustrates the Boolean worldview of...