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Cauchy's equation

 Home Physics Subfields of physics Applied and interdisciplinary physics Chemical physics Electric and magnetic fields in matter
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Cauchy's equation, also known as Cauchy's functional equation, is a fundamental equation in functional analysis and is typically expressed as: \[ f(x + y) = f(x) + f(y) \] for all real (or complex) numbers \( x \) and \( y \), where \( f \) is a function. This equation represents a specific type of additive function.

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