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Biharmonic
UK
/ˌbaɪhɑːˈmɒnɪk/
US
/ˌbaɪhɑrˈmɑnɪk/
Translation of "biharmonic" into Russian
biharmonic
Adjective
UK
/ˌbaɪhɑːˈmɒnɪk/
US
/ˌbaɪhɑrˈmɑnɪk/
biharmonic
more biharmonic Comp.
most biharmonic Super.
The biharmonic equation is often used in elasticity theory.
Бигармоническое уравнение часто используется в теории упругости.
Definitions
biharmonic
Adjective
UK
/ˌbaɪhɑːˈmɒnɪk/
US
/ˌbaɪhɑrˈmɑnɪk/
Relating to or involving the biharmonic equation, which is a fourth-order partial differential equation often used in mathematical physics and engineering.
The biharmonic equation is crucial in solving problems related to elasticity and fluid dynamics, making biharmonic functions essential in these fields.
Of a function: satisfying the biharmonic equation (the Laplacian applied twice yields zero), i.e., Δ²f = 0.
In potential theory, a biharmonic function in two dimensions can be represented as the real part of an analytic function multiplied by the coordinate y.