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more about interpolation
## interpolation |

3 definitions found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Interpolation \In*ter`po*la"tion\, n. [L. interpolatio an alteration made here and there: cf F. interpolation.] 1. The act of introducing or inserting anything especially that which is spurious or foreign. 2. That which is introduced or inserted, especially something foreign or spurious. Bentley wrote a letter . . . . upon the scriptural glosses in our present copies of Hesychius which he considered interpolations from a later hand. --De Quincey. 3. (Math.) The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series. From WordNet r 1.6 [wn]: interpolation n 1: (mathematics) calculation of the value of a function between the values already known 2: an action or remark that interrupts [syn: {interjection}, {interposition}] From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: interpolationA mathematical procedure which estimates values of a {function} at positions between listed or given values. Interpolation works by fitting a curve" (i.e. a function) to two or more given points and then applying this function to the required input. Example uses are calculating {trigonometric functions} from tables and audio waveform sythesis. The simplest form of interpolation is where a function, f(x), is estimated by drawing a straight line ("linear interpolation") between the nearest given points on either side of the required input value: f(x) ~ f(x1) + (f(x2) - f(x1))(x-x1)/(x2 - x1) There are many variations using more than two points or higher degree {polynomial} functions. The technique can also be extended to functions of more than one input. (1997-07-14)

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