Brownian motion is a physical phenomenon studied by biologist Robert Brown through which it is possible to describe the random irregular motion of pollen particles suspended in a fluid using the probability of finding a particle at a specific time. In a fractional way, the Brownian movement describes the random fluctuation of continuous stochastic processes which can be characterized by the Hurst coefficient whose initial utility was the observation of the levels of the Nile River to predict the persistence of future phenomena and thus prepare for the drought or flood. Fractional Brownian motion has been used for study in various areas such as hydrodynamics. Water is a vital natural resource for the preservation of species and less than 1% of fresh water is available for human consumption. Turbidity in a measure of the degree of transparency that water loses, the greater the number of solids suspended in the water, the greater the degree of turbidity. With the data provided by the “Acueducto Metropolitano”, Bucaramanga, Colombia between January 2008 and August 2019, volatility and persistence of turbidity were established in the Colombia municipalities of Bucaramanga, Floridablanca and Girón. In the latter, persistent behavior and extreme volatilities are observed. law.

We use an enhanced methodology combining specific forms of AI techniques, opinion mining and artificial mathematical intelligence (AMI), with public data on the spread of the coronavirus SARS-CoV-2 and the incidence of COVID-19 disease in Colombia during the first three months since the first reported positive case. The results obtained, together with conceptual tools coming from the global taxonomy of fundamental cognitive mechanisms emerging in AMI and with suitable contextual information from Colombian public health and mainstream social media, allowed us to stating specific preventive guidelines for a better restructuring of initial safe and stable life conditions in Colombia, and in an extended manner in similar Latin American Countries. More specifically, we describe three major guidelines: 1) regular creative visualization and effective planning, 2) the continuous use of constructive linguistic frameworks, and 3) frequent and moderate use of kinesthetic routines. They should be understood as effective tools from a cognitive and behavioural perspective, rather than from a biological one. Even more, the first two guidelines should be acknowledged in integral cooperation with the third one regarding the global effect of COVID-19 in human beings as a whole, this includes the mind and body.

We describe in a very concise way the multidisciplinary program of artificial mathematical intelligence and the need of a new and improved paradigm of formal computation based on conceptual generation, called conceptual computation, with the potential of being a global paradigm-shifting technique in theoretical physics and computational mathematics. Furthermore, we describe some of the most outstanding results regarding fundamental cognitive abilities needed for the materialization of conceptual computation such as analogical reasoning, metaphorical thinking and conceptual blending. Finally, we present a concrete example of the conceptual computation of the notion of binary continuous operation as a formal blend (i.e. many-sorted first order categorical colimit (pushout)) of the notions of continuous function between topological spaces and perfect square topological space.

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