What is the meaning of 'Reduced to Quadrature' in numerical integration?

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Discussion Overview

The discussion revolves around the term "Reduced to Quadrature" in the context of numerical integration. Participants explore its meaning, usage, and implications in relation to integration techniques, particularly when closed-form solutions are not readily available.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks clarification on the meaning of "Reduced to Quadrature," suggesting it may relate to expressing a quantity as an integral.
  • Another participant confirms that quadrature is synonymous with integration.
  • A different viewpoint criticizes the term as being unnecessarily complex or pretentious.
  • It is noted that the term generally refers to numeric integration, particularly in scenarios where closed-form solutions are difficult to obtain.

Areas of Agreement / Disagreement

Participants express differing opinions on the appropriateness of the term "Reduced to Quadrature," with some agreeing on its connection to integration while others contest its usage.

Contextual Notes

There is a lack of consensus on the implications of the term, and assumptions about its usage in various contexts remain unresolved.

genius2687
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What exactly does that term mean? I thought it meant getting some quantity in the form of an integral, but I can't be sure.
 
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Yes! Quadrature is synonomous with integration.
 
It is a stupid term for integration only peacocks wave about with.
 
It generally means numeric integration, used for cases where closed-form solutions may be hard to find.
 

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