{"version":"1.0","type":"link","title":"Harmonic function - Newikis","description":"In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function ⁠⁠, where ⁠⁠ is an open subset of ⁠⁠, that satisfies Laplace's equation, that is, everywhere on ⁠⁠. This is usually written as or","provider_name":"Newikis","provider_url":"https://newikis.com","cache_age":86400,"thumbnail_url":"https://thumb.wikimedia.org/wikipedia/commons/thumb/c/cd/Laplace%27s_equation_on_an_annulus.svg/1280px-Laplace%27s_equation_on_an_annulus.svg.png","thumbnail_width":1280,"thumbnail_height":640}