Sentence examples for upon the boundary from inspiring English sources

Both are equally likely, pace Popper; whether one or both happen depends upon the boundary conditions.

Depending upon the boundary condition prescribed on the circular segment of the wedge, traction or displacement, two problems are analyzed.

Both the number and size of these regions depend strongly upon the boundary condition considered as does the governing instability.

In this paper, a numerical scheme for modelling the straight-through resonator with mean flow based upon the boundary integral equation method is developed.

The latter is found to scale with a characteristic Strouhal number based upon the boundary layer thickness and the freestream velocity.

The optimisation of the length of the expressed proteins, based upon the boundary prediction of NBDs and neighbour domains, enables the expression and purification of soluble ABCA1 NBDs, with high ATPase activity.

However, now that Senator John Ensign's extramarital love life and his efforts to cover up his affair with staffer Cynthia Hampton have once again become front page news, any future investigation into this romantic caper may depend upon the boundaries of an essential, albeit rather mundane, principle of physician-patients relations: confidentiality.

The conductor (attractive/repulsive and flow) influences the behavior of the fluid and has opposite effects upon the boundaries of the system.

International NGOs have agreed upon the boundaries of unique ecosystems (termed 'ecoregions'), which are increasingly used as the spatial unit considered for prioritization [18].

Elliot presents the minimal concern for self concept as distinct from appreciation but this distinction depends upon the boundaries one places around the appreciation ability which seems sufficiently broadly defined to encompass minimal concern for self.

Upon substituting the boundary condition ϕ| s=l/2 = 0 into (10) we obtain ( F=sqrt{frac{P}{E_1I}}cdot frac{l}{2}, ) from which the value m for every particular load P could be unambiguously found.