The Brain: Fuzzy Arithmetic to Quantum Computing by Prof. Armando Freitas Rocha, Prof. Eduardo Massad, Dr.

By Prof. Armando Freitas Rocha, Prof. Eduardo Massad, Dr. Alfredo Pereira Jr. (auth.)

"The mind- From Fuzzy mathematics to Quantum Computing" offers an unique and striking new knowing of the mind through making an allowance for novel achievements in Fuzziness and Quantum info thought. Bringing jointly Neuroscience, smooth Computing, Quantum conception, and up to date advancements in arithmetic the particular wisdom concerning the mind functioning is formalized right into a coherent theoretical framework. This monograph develops new and robust neural versions delivering formal descriptions of biochemical transactions within the mind to lead neuroscience experiments and to higher interpret their effects. This e-book demonstrates how the body structure of the neuron should be understood according to the basics of fuzzy formal languages and introduces the fundamentals of quantum computation and quantum info to the mind. It discusses how molecular transactions on the mobile point enforce such suggestions, indicates how yes neural buildings, just like the dendritic backbone, are really expert to operate as quantum computing units and demonstrates how the mind might be considered as a quantum processing clever system.

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The Brain: Fuzzy Arithmetic to Quantum Computing

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Extra resources for The Brain: Fuzzy Arithmetic to Quantum Computing

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The biochemical chain stp(po, pi) is characterized by the ordered set of transactions required to activate pj E. Pt whenever po E. Pi is available, that is Two different stpi, stpj are said to be a hierarchy if they share a subset of products PCwhich are terminal products Pt of stpi and initial products Po of stpj. In this condition, stpi is said to regulate stpj. Because early genes may coordinate the expression of different sets of downstream genes, then D becomes a hierarchical encoding H of P* = Pi u P, u P,.

The temporal restrictions A imposed by H are mainly those associated with the dynamics of the intra and intercellular transportation systems in charge of moving proteins inside and between cells, and DNA and RNA between cell compartments. 4 The Hierarchy of Fuzzy Grammars According to Searls (2002), the dynamics of both genes and proteins must be modeled by grammar above the level of the context sensitive (Type 1 grammar - Hopcroft and Ullman, 1969) grammars in the Chomskyan hierarchy. This is one of the reasons for introducing the following hierarchy of the Recursive Enumerable Grammars: 1.

The set of nucleotides composing the DNA and RNA, and the set of 20 amino acids forming the proteins, are examples of fuzzy alphabets. In this line of reasoning, sk EV* may be considered words composing the stp sentences of L(G) about the biochemical transactions supporting life. Genes are words encoding the proteins and proteins are also words used to compose the stps. In addition, genes are composed of two different substrings: the code substring containing the description of one or a family of proteins, and the control substring encoding when and how the gene is to be read.

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