Sentence examples for in the first boundary from inspiring English sources

This problem is different from the usual regular Sturm-Liouville problem [1] in the sense that the eigenvalue parameter λ appears in both boundary conditions and in the first boundary condition is in quadratic form.

Remark 3. We emphasize that the first component of the vector z is fixed and coincide with the value of x1 0) in the first boundary condition in (1), while its second component z2 is considered as free parameter.

It is well known that every regular solution of (40) in Ω 2, with the first boundary condition (35) and (42) is represented as in [4].

21st over: South Africa 42-0 (Engledd led by six runs on first innings; Petersen 23, Smith 19) Smith back cuts Finn for the first boundary in eight overs.

That's the first boundary in 17 overs.

Saying which, Collingwood pre-empts a sweep at Bracken to bring the first boundary in 13.

And Yuvraj drags Panesar's second ball dismissively past the square leg umpire for the first boundary in 10 overs.

Having seen Wood pull him in front of square for the first boundary, the England pace bowler was then struck into the stands via a cross-batted stroke from Paul Collingwood.

At this point, it is necessary to make some remarks on the first boundary condition in (1.9).

In the second boundary condition, the temperature of cap/base rocks does not change as the reservoir cools down.

The first boundary condition is the same as in Case-1, whereas the second boundary condition in dimensionless form modifies to uleft(1, tright)=H t)varepsilon exp left(iomega tright);kern0.62em t>0, (34).