Sentence examples for defined as a solution from inspiring English sources

The laser was once defined as a solution in search of a problem.

Later, (u_{i}^{(0)}) will be defined as a solution of the homogenized macroscopic equation.

A semi-homogeneous solution of (3) is defined as a solution which does not depend upon the variable Δ.

The essential net worths vector is defined as a solution of the non-linear fixed-point problem (1).

In [16, 17], a notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls has been introduced, and showed that Gaussian random fields on general ultrametric spaces (which were related with hierarchical trees), which were defined as a solution of pseudodifferential stochastic equation, satisfy the Markovianity.

Recall that, for any ( t 0, x 0 ) ∈ D, the Riemann function Z ( t 0, x 0, ⋅, ⋅ ) is defined as a solution to (1.11) satisfying the initial conditions u ( t, x 0 ) = 1 for  t ∈ [ a, b ], u ( t 0, x ) = 1 for  x ∈ [ c, d ].

In the spring, I had talked with Maria Del Castillo, Finlay's reading specialist, who told me that she and other teachers at the school regularly engage in "inquiries," which they define as investigating a solution to a particular problem.

A design pattern is usually defined as a proven solution to a commonly occurring problem which is well documented and part of a collection of similar solutions [29].

The conditions (7) are defined as a unique solution of Equation 1 on [ π 2, π ].

If is continuously differentiable on, then can be defined as a mild solution to be the Cauchy problem.

Any combination of open switches that meet the radial and connected constraints for distribution network operation is defined as a candidate solution for network reconfiguration.