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This paper reports the development of logarithmic-exponential reasoning in high school students in a teaching experiment as a contribution to the growing body of research addressing covariational reasoning.
Therefore, we consider that the sketch of a graph and algebraic expressions demonstrate the development of logarithmic-exponential covariational reasoning in students.
The data analysis aims to define the logarithmic-exponential covariational reasoning of the participants through the identification of the mental actions and levels of reasoning achieved during the teaching experiment.
Machine reasoning is a task of at least exponential time.
The reasoning behind this is that the power function levels of a potential exponential increase (so as to keep projections closer to the observed rates).
We show that our results can be seamlessly applied to ontological reasoning and identify two classes of non-Horn ontologies that admit Datalog rewritings of polynomial and exponential size, respectively.
That represents an exponential increase in the processing speed since the early days of the computer development, eventhough such growth did not show complex reasoning that even the simple biological organisms can make.
He made exponential leaps.
It has been exponential.
Then things went exponential.
Reasoning: E.
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