Interpolation by AI Overview

✨AI Overview

"Interpolation, in general, means adding something between other things. In a mathematical context, it's a method of estimating unknown data points based on known data points. In music, it can refer to incorporating parts of a song into another. In other contexts, it can involve inserting new material into a text or conversation. 

"Mathematical Interpolation: 
  • Definition: A technique used to estimate values between known data points.
  • Purpose: To fill in gaps in data or create a continuous function from a set of discrete points.
  • Methods: Various methods exist, including piecewise linear interpolation, polynomial interpolation, and slope interpolation. 
"Musical Interpolation: 
Definition:
In music, interpolation refers to the inclusion or recreation of parts of a song within another song.
Examples:
Examples include incorporating a melody or vocal part from one song into a new composition. 

"Other Contexts:
Adding material to text:
Interpolation can also mean adding new content or material to an existing text, often to clarify or change its meaning. 
Interjecting a remark:
In conversations, it can mean inserting a remark or comment into the middle of a discussion. 

⭐"AI responses may include mistakes."

  1. [ai_overview says, "adding something between other things"]
  2. [ai_overview says, "estimate values between known data points"]
  3. [Customarily, when using the preposition between, you refer to singletons as in 'between point A and point B,' not pluralities where 'between points A, B, and C' should read 'among points A, B, and C']
  4. [Could read, adding something among other things]
  5. [Could read, estimate values among known data points]
  6. ["Things" can be 'a dog and a cat,' but not 'between dogs and cats' unless it's enmity between dogs and cats in general or even enmity amongst dogs and cats, etc]
  7. ["Points" can be 'between data points A and C,' but not 'between points A, B, and C' even though 'among points A, B, and C' sounds unappetizing]
  8. [In music, interpolation refers to the inclusion or recreation of parts of a song within another song. Bearing in mind of course that published/recorded music belongs to the songwriter, lyricist, and or composer whose rights can't be trampled much less interpolated.]
  9. [Interpolation can also mean adding new content or material to an existing text, often to clarify or change its meaning. Bearing in mind that copyrighted material may not be redistributed within other content or in other forms without an author's permission.]

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