interpolation

/in,tə:pou'leiʃn/
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interpolation

A student uses linear interpolation to estimate a point on a graph.

Definition
  1. Noun:
    • The act of inserting something between other things: The action of introducing or interjecting a remark, comment, or piece of data into something else.
    • An inserted remark or passage: A specific comment, word, or section that has been added into a text, conversation, or sequence.
    • (Mathematics) Estimation within a known range: The process of estimating an unknown value of a function or quantity between two or more known values.
Examples of Usage
  • General Use (Insertion): The editor removed the unnecessary interpolation from the manuscript.His speech was interrupted by a rude interpolation from the audience.

  • Mathematical Use: The scientist used linear interpolation to estimate the temperature at noon.This graph shows the data points; the dashed line represents the interpolation between them.

Advanced Usage
  • "to make an interpolation": to insert a comment or remark. She made a helpful interpolation to clarify the complex point.

  • In data analysis: The technique of constructing new data points within the range of a discrete set of known data points. Spline interpolation provides a smoother curve than simple linear interpolation.

Variants and Related Words
  • Interpolate (verb): To insert something, especially words, into a text or conversation; to estimate a value mathematically. The author chose to interpolate a new paragraph into the chapter.We can interpolate the missing values from the surrounding data.

  • Interpolator (noun): A person or a device that performs interpolation.

Synonyms
  • Insertion: The act of putting something into something else.
  • Interjection: A remark interposed or inserted, often abruptly.
  • Interpolation (mathematical synonym): Estimation, approximation.
Antonyms
  • Extrapolation: The process of estimating something outside a known range, as opposed to within it ().
  • Deletion: The act of removing or omitting something.
  • Original text: The unaltered version before any additions.
Related Phrases and Concepts
  • Linear interpolation: A method of curve fitting using linear polynomials to construct new data points.
  • Polynomial interpolation: A form of interpolation where the interpolant is a polynomial.
  • Textual interpolation: An addition to a document or manuscript made by someone other than the original author.
interpolation

A student uses linear interpolation to estimate a point on a graph.

Noun
  1. the action of interjecting or interposing an action or remark that interrupts
  2. (mathematics) calculation of the value of a function between the values already known
  3. 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