boundary condition

American  

noun

Mathematics.

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

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boundary condition Scientific  

/ 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.

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Example Sentences

See Examples For:

boundary condition

Thus, the boundary condition problem reduces to pure linear algebra.

From Science Magazine ● Nov. 30, 2022

Here’s how Liu and Ma determine the boundary condition: With their new parameter set to infinity, that task involves evaluating integrals for “vacuum diagrams” that have no external legs and only loops.

From Science Magazine ● Nov. 30, 2022

Applying the first boundary condition given here, we get y⎛π ⎞ = c2 = 0.

From Textbooks ● Mar. 30, 2016

We believe a AA credit rating provides us with the right amount of low-cost capital and good financing flexibility and is the right boundary condition.

From Forbes ● Apr. 20, 2015

The no boundary condition, however, implied that these fluctuations were as small as they could be, consistent with the uncertainty principle.

From "A Brief History of Time: And Other Essays" by Stephen Hawking