Study of product diversity by companies and corporations led to the discovery of a new statistical distribution, the (1/f) distribution, assessed according to the Herfindahl-Hirschman index. Products of human creative thinking and decision-making seem to obey the index very widely or universally. This article explores examples of its applications in business and economics as evidence for a new scientific conjecture concerning the physiological basis of Mind: that mind functions from critical instabilities in the brain physiology. Instabilities result in (1/f) distributions of physiological responses, so the two sources of (1/f) distribution present interesting parallels. Without comprehensively reviewing all Herfindahl-Hirschman index applications, many similar examples of (1/f) distributions are considered: those in numbers of divisions and subdivisions within big corporations, and numbers of corporations in industrial sectors. Evidently, this kind of distribution derives from individual and collective creative work. The paper reasons that it reveals important evidence about the conjectured basis of mind and its creative capacities. A previous Special Issue paper showed that many of the mind's properties, including self-awareness, result from critical instabilities being the loci of control of biological systems. A consequence of such instability is that when faced by several identical stimuli, the physiology offers a (1/f) distribution of responses. Studies described here showing that creative thinking produces (1/f) distributions of results may thus be considered a first round of direct evidence for the mind functioning from critical instability. Physical systems producing (1/f) distributions do not have that implication. Other cybernetic systems may behave differently.
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http://dx.doi.org/10.1016/j.pbiomolbio.2017.09.017 | DOI Listing |
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December 2024
Key Laboratory of Electromagnetic Processing of Materials, Ministry of Education, Northeastern University, Shenyang, 110819, China.
2D MoC i-MXene is highly promising for electrochemical applications. Here, a synthetic strategy is reported, enabling the uniform distribution of carbon-coated CoNi (CoNi@C) nanoparticles on the vacancy-ordered MoC i-MXene nanosheets, thereby fully exposing the active sites of CoNi@C. First, five novel Ga-containing (MoR)GaC (R = Dy, Ho, Er, Tm, and Lu) i-MAX phases are synthesized as the precursor and found to be crystallized into Cmcm structure, followed by hydrothermal etching and delamination.
View Article and Find Full Text PDFNanomaterials (Basel)
November 2024
Department of Physics, Arizona State University, Tempe, AZ 85287-1504, USA.
Nanothermodynamics provides the theoretical foundation for understanding stable distributions of statistically independent subsystems inside larger systems. In this review, it is emphasized that extending ideas from nanothermodynamics to simplistic models improves agreement with the measured properties of many materials. Examples include non-classical critical scaling near ferromagnetic transitions, thermal and dynamic behavior near liquid-glass transitions, and the 1/-like noise in metal films and qubits.
View Article and Find Full Text PDFBMC Med Inform Decis Mak
November 2024
College of Information and Network Engineering, Anhui Science and Technology University, Bengbu, 233000, China.
Background: Multiscale sample entropy (MSE) is a prevalent complexity metric to characterize a time series and has been extensively applied to the physiological signal analysis. However, for a short-term time series, the likelihood of identifying comparable subsequences decreases, leading to higher variability in the Sample Entropy (SampEn) calculation. Additionally, as the scale factor increases in the MSE calculation, the coarse-graining process further shortens the time series.
View Article and Find Full Text PDFAge Ageing
November 2024
Thompson Institute, University of the Sunshine Coast, 12 Innovation Pkwy, Birtinya QLD 4575, Australia.
Background: The rising prevalence of dementia necessitates identifying early neurobiological markers of dementia risk. Reduced cerebral white matter volume and flattening of the slope of the electrophysiological 1/f spectral power distribution provide neurobiological markers of brain ageing alongside cognitive decline. However, their association with modifiable dementia risk remains to be understood.
View Article and Find Full Text PDFEntropy (Basel)
September 2024
Institute of Matematics, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, MS, Brazil.
In this paper, we propose a Bayesian approach to estimate the curve of a function f(·) that models the solar power generated at moments per day for days and to forecast the curve for the (n+1)th day by using the history of recorded values. We assume that f(·) is an unknown function and adopt a Bayesian model with a Gaussian-process prior on the vector of values f(t)=f(1),…, f(k). An advantage of this approach is that we may estimate the curves of f(·) and fn+1(·) as "smooth functions" obtained by interpolating between the points generated from a -variate normal distribution with appropriate mean vector and covariance matrix.
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