Sentence examples for expressions of the problem from inspiring English sources

negative Gaussian curvature, by manipulating the tensorial expressions of the problem the main equation reads (cy^{2 n-1)}sigma _{yy,xx}-sigma_{yy,yy}=0) in ((0,a times -b,0)) with some (a,a times -b,0 an integer greater than 1, exactly degenerating for (y=0).

Further refinement and mathematical manipulations lead to appropriate expressions of the problem (Reif, 2008).

In this section, we first articulate the mathematical expression of the problem and then propose the solution algorithm.

Ryle would see this contemporary expression of the problem of self-knowledge as a result of the conflation of various suspect philosophical tendencies.

Also, since the problem is set in (mathbb{R}^{N}) we are defining this operator in a class of exponentially decaying functions; see below the details and conditions to have the weak expression of the problem with these exponentially decay solutions.

Here, these values are not tied to a particular model, but represent the general expression of the problem.

In some cases anxiety or tension seems to be responsible, and expression of the problem, together with resolution of difficulties causing the stress, has resulted in defervescence [ 8].

The multiple scattering of flexural waves and dynamic stress concentration in a semi-infinite thin plate with a cutout are investigated, and the expressions of this problem are obtained.

According to the analytical expression of this problem, the numerical solutions of the dynamic stress concentration factor around the cavity are presented.

The general expressions of the local problem for an anisotropic composite with perfect and imperfect contact at the interface are derived.

Our approach (1) allows the expression of the finite element problem in a language which is close to the mathematical formulation of the problem, (2) guarantees the automatic generation and efficient execution of parallel optimised low-level computer code and (3) is flexible enough to support different abstraction levels and give the programmer control over details of the preconditioner.