boundary condition

noun

, Mathematics.

1. a stated restriction, usually in the form of an equation, that limits the possible solutions to a differential equation.

boundary condition

/ boun′də-rē /

1. The set of conditions specified for the behavior of the solution to a set of differential equations at the boundary of its domain. Boundary conditions are important in determining the mathematical solutions to many physical problems.

Example Sentences

They determine the boundary conditions before which we become angry or flattered or whatever.

From Freakonomics

For our example of 2D fluid flow, the computations start with some initial and boundary conditions and proceed step by step, inching their way along the x– and y-axes, calculating the fluid’s velocity and pressure at various points.

From Quanta Magazine

Deep nets that learn to approximate operators can be used to solve for a whole family of PDEs at once, modeling the same phenomena for a range of initial and boundary conditions and physical parameters.

From Quanta Magazine

Another example is what we use in our semiconductor design side is the semiconductor designers have a lot of boundary conditions and variation of their designs.

From MIT Technology Review

They can also probe how different boundary conditions might affect an entity’s degree of individuality and its relationship to its surroundings.

From Quanta Magazine