Sentence examples for then this point from inspiring English sources

Let Then, this point satisfies the relations (249).

If system (1.1) has one equilibrium point, then this point is either locally saddle point or non-hyperbolic.

If System (1) has one equilibrium point, then this point is either locally asymptotically stable or saddle point or non-hyperbolic equilibrium point.

And if it can be proved that a fixed point of the 'new' map S r F : X → clos ( X ) does not belong to O r o ¯, then this point becomes a fixed one also for the initial map F. Theorem 6 Let X be a complete metric space and F : X → clos ( X ).

This paper is concerned with non-linear elliptic problems of the type (Pε): −Δu = u(N + 2)(N − 2) + εu, u > 0 on Ω; u = 0 on ∂Ω, where Ω is a smooth and bounded domain in RN, N ≥ 4, and ε > 0. We show that if the uε are solutions of (Pε) which concentrate around a point as ε → 0, then this point cannot be on the boundary of Ω and is a critical point of the regular part of the Green's function.

If we had our own bustling Square like Harvard's, then this point brought by the advocates of the FSILG village might have some merit.

If we believe that the magnetic declination drawn on the map corresponds to where the map was made, then this points to Aceh.

If, on the other hand, differences are due to the immigrant characteristic, then this points to other reasons, e.g. discrimination, and the use of programs for either immigrants or natives should be reconsidered.

However, if the two domains are detected separately, then this points to imprinted X inactivation.

If these effects are present also in the other species, then this points to an interaction of early vision and locomotion that has been hitherto unsuspected.

If pathways to health are to be articulated then this points to the need to work with precise definitions of health related concepts so that the antecedents and consequences of them can be determined.