Mimicking of Functional State Space with Structural Tests for the Diagnosis of Board-Level Functional Failures

Author(s):  
Hongxia Fang ◽  
Zhiyuan Wang ◽  
Xinli Gu ◽  
Krishnendu Chakrabarty
1975 ◽  
Vol 30 (11) ◽  
pp. 1361-1371 ◽  
Author(s):  
H. Stumpf ◽  
K. Scheerer

Functional quantum theory is defined by an isomorphism of the state space H of a conventional quantum theory into an appropriate functional state space D It is a constructive approach to quantum theory in those cases where the state spaces H of physical eigenstates cannot be calculated explicitly like in nonlinear spinor field quantum theory. For the foundation of functional quantum theory appropriate functional state spaces have to be constructed which have to be representation spaces of the corresponding invariance groups. In this paper, this problem is treated for the spinor field. Using anticommuting source operator, it is shown that the construction problem of these spaces is tightly connected with the construction of appropriate relativistic function spaces. This is discussed in detail and explicit representations of the function spaces are given. Imposing no artificial restrictions it follows that the resulting functional spaces are indefinite. Physically the indefiniteness results from the inclusion of tachyon states. It is reasonable to assume a tight connection of these tachyon states with the ghost states introduced by Heisenberg for the regularization of the nonrenormalizable spinor theory


2020 ◽  
Author(s):  
D. Jones ◽  
V. Lowe ◽  
J. Graff-Radford ◽  
H. Botha ◽  
D. Wiepert ◽  
...  

AbstractDisruption of mental functions in Alzheimer’s disease (AD) and related disorders is accompanied by selective degeneration of brain regions for unknown reasons. These regions comprise large-scale ensembles of cells organized into networks required for mental functioning. A mechanistic framework does not exist to explain the relationship between clinical symptoms of dementia, patterns of neurodegeneration, and the functional connectome. The association between dementia symptoms and degenerative brain anatomy encodes a mapping between mental functions and neuroanatomy. We isolated this mapping through unsupervised decoding of neurodegeneration in humans. This reflected a simple information processing-based functional description of macroscale brain anatomy, the global functional state space (GFSS). We then linked the GFSS to AD physiology, functional networks, and mental abilities. We extended the GFSS framework to normal aging and seven degenerative diseases of mental functions.One Sentence SummaryA global information processing framework for mental functions links neuroanatomy, cognitive neuroscience and clinical neurology.


2020 ◽  
Author(s):  
Andy E Williams

Any system with repeatable behavior can potentially be defined with the minimal set of functions that might be composed to represent the entirety of that behavior. The states accessible through these functions then forms a “functional state space” through which the system moves. Since functional states spaces can be used to represent every problem domain from physics, to communications, to business operations, to the human cognition itself, a general approach to not only research but design and all other processes of discovery that is applicable to all domains can potentially be defined to radically increase capacity for discovery in each domain.


2012 ◽  
Vol 24 (4) ◽  
pp. 328-360 ◽  
Author(s):  
Terry Stanard ◽  
John M. Flach ◽  
Matthew R. H. Smith ◽  
Rik Warren

2020 ◽  
Author(s):  
Andy E Williams

INTRODUCTION: Groups of individuals of species exhibiting collective behaviours have been suggested to have some innate general collective intelligence. General Collective Intelligence or GCI has been described as a platform that organizes individual humans into a single collective intelligence with the potential capacity for exponentially greater general problem-solving ability.OBJECTIVES: To explore whether a functional modelling approach might have the capacity to represent any system of organization resulting in a general collective intelligence factor. And to explore what functionality might be required for a GCI to exponentially increase it.METHODS: An analysis of the meaning of general problem-solving ability in the functional state space of a system of cognition or collective cognition is used to assess whether GCI has the potential to exponentially increase increase that ability.RESULTS: GCI has the potential to exponentially increase increase impact on all general outcomes where limited by general problem-solving abilityCONCLUSION: While an innate general collective intelligence factor might exist, and while conventional CI solutions might have significant impact on specific collective outcomes, a GCI is required to exponentially general problem-solving ability, and therefore to exponentially increase collective outcomes. This capacity has the potential to be disruptive.


2021 ◽  
Author(s):  
Andy E Williams

This paper explores how the emerging science of Human-Centric Functional Modeling or HCFM provides a universal approach to modeling systems that is hypothesized to maximize human capacity to understand and navigate the complexity of systems, and how it facilitates a kind of biomimicry in which the human organism is represented in terms of abstract mathematical spaces that can be used to define simple expressions to represent properties like “complexity” for human systems like cognition, where the same spaces can be used to represent other systems, including the entire physical universe, so that the underlying equivalence of the representations allows the same mathematical expressions to define the same properties where applicable for these very different systems, and therefore allows deep insights to potentially be gained about these systems through looking inward to observe how one’s own cognition functions from one’s first person experience. This paper explores how from this Human-Centric Functional Modeling perspective the properties governing the evolution of life in its functional state space might also govern the formation of the universe in its own functional state space. Human-Centric Functional Modeling also has other significant benefits, one is that in defining behavior in terms of mathematical spaces it enables all the mathematical disciplines that apply to such spaces (e.g. functor theory, category theory, process theory) to be used to understand and navigate the relationships between concepts described in those spaces. Another is that in providing a self-contained representation of the human meaning of any entity, including of any region in the physical universe, Human-Centric Functional Modeling potentially defines the first complete semantic representation of concepts, physical objects, or any other entities represented in a functional state space. When applied to the physical universe this implies that all theoretical or experimental data can be stored in that single model and all theories tested against it to increase capacity to impact a research question. When applied to other systems semantic modeling has equally important implications. Another benefit of Human-Centric Functional Modeling is that it is also a human-centric expression of “constructor theory”, which in the case of physical systems enables accurate predictions to be made about their physical behavior simply from observations of their functions, without needing to understand the specific physics through which the functions are implemented in those systems.


1991 ◽  
Vol 138 (1) ◽  
pp. 50 ◽  
Author(s):  
Leang S. Shieh ◽  
Xiao M. Zhao ◽  
John W. Sunkel
Keyword(s):  

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