English Explanatory Dictionary

Green's theorem

English dictionary entry

Meanings

name
  1. A generalization of the fundamental theorem of calculus to the two-dimensional plane, which states that given two scalar fields P and Q and a simply connected region R, the area integral of derivatives of the fields equals the line integral of the fields, or
  2. Letting ⃑G=(P,Q) be a vector field, and d⃑l=(dx,dy) this can be restated as

Pronunciation

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Word forms

Green's theorem

Etymology

Named after the mathematician George Green.

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