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.

---

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.

---

Example Sentences

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

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

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

As I said, I thought at first that the no boundary condition did indeed imply that disorder would decrease in the contracting phase.

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