conformal
/kənˈfɔːm(ə)l
/adjective
(Of a map or a mathematical mapping) preserving the correct angles between directions within small areas (though distorting distances).He also obtained important results on conformal mappings showing that angles were preserved on the boundary almost everywhere....
- His doctoral thesis is an important contribution to conformal mappings of multiply connected plane domains.
- He is also known for applications of the kernel function to conformal mappings.
Derivatives
conformally
- Although he had given a proof of the theorem that any simply connected region of the plane can be mapped conformally onto a disc, his proof involved using the Dirichlet problem.
- He also studied polynomials, now named after him, which approximate a function that conformally maps a given simply-connected domain onto a disc.
- Surprisingly, classical string theory dynamics is described by a conformally invariant 2D quantum field theory.
Origin
Mid 17th century (in the sense 'conformable'): from late Latin conformalis, from con- 'together' + formalis 'formal'. The current sense was coined in German.
Rhymes
- American gooseberry mildew
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- Americani
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- Americanization
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