boundary condition
Noun
Meaning
(mathematics) a condition specified for the solution to a set of differential equations
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Examples
Science is a differential equation. Religion is a boundary condition.
One could say: "The boundary condition of the universe is that it has no boundary." The universe would be completely self-contained and not affected by anything outside itself. It would neither be created nor destroyed. It would just BE.
The boundary condition of the universe is that it has no boundary.
A potential that doesn't satisfy Laplace's equation together with the boundary condition is an invalid electrostatic potential.
Another "Poisson's integral" is the solution for the Green function for Laplace's equation with Dirichlet condition over a circular disk: : where : : :φ is a boundary condition holding on the disk's boundary.
The MIT bag model confines three non-interacting quarks to a spherical cavity, with the boundary condition that the quark vector current vanish on the boundary.