interpolamos

Interpolamos is the first-person plural present indicative form of the Spanish verb interpolar, meaning we interpolate. The term is used when the subject carries out an interpolation, a process common in mathematics, statistics, data science, and related disciplines. Interpolation estimates unknown values that lie within the range of a discrete set of known data points or within a function, providing a way to infer intermediate values.

Etymology and usage notes: interpolar comes from Latin interpolare, meaning to insert between. In practice, interpolamos appears in scientific and technical contexts where a value between existing data points is required, such as filling missing data, constructing a smooth curve through observations, or estimating values in signals and images. It is distinct from extrapolamos, which refers to estimating values outside the known data range.

Methods and examples: common interpolation methods include linear interpolation, polynomial interpolation, and spline interpolation, as well as nearest-neighbor approaches. The choice of method depends on the data behavior, the desired smoothness, and the acceptable margin of error. In sentences, examples include “Interpolamos los valores faltantes de la serie” or “Interpolamos entre dos puntos para obtener una estimación.”

Related terms: interpolación (the process), interpolador (the method or tool used for interpolation), extrapolación (estimating beyond the known data). Interpolation is widely used in numerical analysis, statistics, computer graphics, and signal processing.