extrapolation

mathematics

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June 26, 2026

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In mathematics, extrapolation is the process of estimating a value beyond a known range of data points. It involves using existing data to predict future trends or values. For example, scientists might extrapolate the rate of carbon-dioxide buildup to predict future atmospheric conditions.12

This differs from interpolation, which estimates values within a known range of data. Extrapolation is used to form conclusions or opinions based on reasoning and available information, such as predicting the course of an economic recession by examining past ones.314

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automata theory
The automaton and its environment
…through a transformation) could be extrapolated. He saw that, if this process could be accomplished with sufficient speed, as would be possible with modern electronic circuits, then the extrapolated values would be obtained faster than the actual physically evolving process that produced the time series, and a prediction of the…
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…through a transformation) could be extrapolated. He saw that, if this process could be accomplished with sufficient speed, as would be possible with modern electronic circuits, then the extrapolated values would be obtained faster than the actual physically evolving process that produced the time series, and a prediction of the…
Read More

transuranium element
Nihonium and flerovium
Extrapolation in the periodic table to the seventh row, then, results in a predicted most-stable dipositive oxidation state for flerovium. This result is supported by valence bond theory and by extrapolations of thermodynamic data.
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Extrapolation in the periodic table to the seventh row, then, results in a predicted most-stable dipositive oxidation state for flerovium. This result is supported by valence bond theory and by extrapolations of thermodynamic data.
Read More