Sentence examples for for a given boundary from inspiring English sources

The problem of determining the minimal surface for a given boundary had first been posed by the Swiss mathematician Leonhard Euler and the French mathematician Joseph-Louis Lagrange in 1760.

For a given boundary condition the configuration of the stability regions is independent of material orthotropy.

Moreover, if it is impossible or severely difficult for A to duly compensate B for a given boundary crossing, A must not cross that boundary without B's consent.

Internal grid-point placement can be achieved for a given boundary distribution by adding continuous and discrete source terms in the BEM formulation.

The results indicate that the boundary stiffness for a given boundary plane has a strong dependence on the direction of the boundary distortion.

The effects of gap to diameter ratio, Reynolds number and flat seabed roughness for a given boundary layer thickness of the inlet flow upstream of the cylinder have been investigated.

Each solution gives the most energy-efficient way of operating a reactor for the given boundary conditions.

The governing equations are solved using an implicit finite volume method for the given boundary conditions.

For the given boundary conditions, exact solutions of the steady state motions are obtained.

We construct the general solution in terms of a simple formalism for any homogeneous layer, from which any physical quantities can be solved for the given boundary conditions.

Thus for the given boundary value problem (14) of FDEs, all the data dependence results ((A_{1}))-((A_{5})) hold.