Sentence examples for pair of solution from inspiring English sources

Let and be a pair of solution to the conjugate -harmonic tensor in.

In this regard, these two algorithms may be considered as a complementary pair of solution tools that provide the system designer with more than one option for an appropriate trade-off between accuracy and complexity.

It is easy to see that ((u, v in C[0, 1]times C[0, 1]) is a pair of solution to the system (1) if and only if ((u, v)) is a pair of solution of the following nonlinear integral system: left { textstylebegin{array}l} u(t)=lambdaint_{0}^{1}G_{alpha}(t, s)f s, v s)),ds, v(t)=muint_{0}^{1}G_{beta}(t, s g s, u(s)),ds.

Remarkably, these six points lie on four lines, three points on each line; moreover, each line corresponds to the radical axis of a potential pair of solution circles.

Finding the same pole in C2 and C3 gives L2 and L3, respectively; thus, all six points can be located, from which one pair of solution circles can be found.

Let a pair of solution circles be denoted as CA and CB (the pink circles in Figure 6), and let their tangent points with the three given circles be denoted as A1, A2, A3, and B1, B2, B3, respectively.

This means that the solutions y and x form a normalized pair of solutions of (SLλ).

Let and be a pair of solutions to the nonhomogeneous -harmonic equation (1.1) in a domain.

Let and be a pair of solutions to (1.3) in a domain.

Let ( u, v ) be a pair of solutions of (1.2) up to a constant, then ( u, v ) satisfies (1.3).

A series of norm comparison theorems for a pair of solutions to (1.6) were established in [5].