interpolation
interpolation (n)
- plural
- interpolations
English Definitions:
interpolation, insertion (noun)
a message (spoken or written) that is introduced or inserted
"with the help of his friend's interpolations his story was eventually told"; "with many insertions in the margins"
interpolation (noun)
(mathematics) calculation of the value of a function between the values already known
interjection, interposition, interpolation, interpellation (noun)
the action of interjecting or interposing an action or remark that interrupts
interpolation (Noun)
An abrupt change in elements, with continuation of the first idea.
interpolation (Noun)
the process of estimating the value of a function at a point from its values at nearby points.
interpolation (Noun)
The process of including and processing externally-fetched data in a document or program; see interpolate.
interpolation (Noun)
That which is introduced or inserted, especially something foreign or spurious.
Interpolation
In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate the value of that function for an intermediate value of the independent variable. This may be achieved by curve fitting or regression analysis. A different problem which is closely related to interpolation is the approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complex to evaluate efficiently. A few known data points from the original function can be used to create an interpolation based on a simpler function. Of course, when a simple function is used to estimate data points from the original, interpolation errors are usually present; however, depending on the problem domain and the interpolation method used, the gain in simplicity may be of greater value than the resultant loss in accuracy.
Interpolation
In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points.In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple function. Suppose the formula for some given function is known, but too complicated to evaluate efficiently. A few data points from the original function can be interpolated to produce a simpler function which is still fairly close to the original. The resulting gain in simplicity may outweigh the loss from interpolation error and give better performance in calculation process.
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