# Interpolation

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Related to interpolating: interpellate, Interpolation formula

## Interpolation

The process of inserting additional words in a complete document or instrument in such manner as to alter its intended meaning; the addition of words to a complete document or instrument.

Interpolation is synonymous with interlineation.

References in periodicals archive ?
In recent years, Ed Sheeran, Mark Ronson and Miguel have all taken to interpolating previously released music - whether recreating the rhythm of a chorus, a melody, or even word-for-word re-singing of a hook.
The present study focused on an improved interpolating boundary node method (IIBNM) based on the parameter space for 2D potential problems, also called the improved interpolating boundary element-free method (IIBEFM).
From the base assumption that the interpolation step should have minimal effect on these features, we concluded that pressure map data that are to be interpolated (1) should be filtered prior to interpolating; (2) can be interpolated via either a linear or cubic interpolation (with a possible slight preference to cubic interpolation); and (3) should have a small, but not substantial, effect on feature extraction due to increase in interpolation degree through an interpolation to an 8* sampling density.
The above equation is a simple IDW weighting function, as defined by Shepard [1], where x denotes a predication location, [x.sub.i] is a data point, d is the distance from the known data point [x.sub.i] to the unknown prediction point x, n is the total number of data points used in interpolating, and p is an arbitrary positive real number called the power parameter (typically, p = 2).
Initial work on interpolating subdivision schemes was started by Dubuc [1].
Due to the optional interpolating micro-increments functionality, the moisture and dustresistant EP5101 can supply even more precise axis positions for dynamic axes.
These sinusoidal signals are applied to the two differential interpolating circuits to create an array of 60 equally phase-shifted sinusoids.
In scanning mode, the module analyzes the laser dot pattern cast by any properly equipped side-scan camera, interpolating a ring to determine diameter and deformation.
By interpolating the data, we determined the intermediate durometer.
They are critical sound propagation in magnets; magnetism in pure and doped manganese clusters; resonant ultrasound spectroscopy close to its applicability; hybrid integrated external cavity lasers based on silica planar waveguide grating; motivation and first results for quantum theory on a Galois field; black hole entropy from entanglement; interpolating gauges, parameter differentiability, W-T identities, and the epsilon-term; and exploitation of a simple integrated heater for advanced quartz crystal microbalance sensors.
Default software settings were used for each method while interpolating. The change of the parameters of each interpolation method can be used to self-compare the method.
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