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

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 second boundary condition gives y⎛π ⎞ = c2 = 0, so 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

However, a colleague of mine, Don Page, of Penn State University, pointed out that the no boundary condition did not require the contracting phase necessarily to be the time reverse of the expanding phase.

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