Sentence examples for Trivial existence from inspiring English sources

If the abundant conception is true, then our first question may seem trivial: Existence is a property of individuals because sentences like 'Bill Gates exists' are grammatical and there is a class of all individuals and hence a corresponding property of existing.

In the case where (K_X) is trivial, Yau showed the existence of a Kähler Einstein metric in [376], while the existence of such a metric on Fano manifolds (those with ample anticanonical divisor (- K_X)) has only recently been settled, under a stability assumption (see [122, 123, 352]).

The stability of the trivial solution and the existence of periodic solutions are investigated.

The stability of the trivial solution and the existence of periodic solutions are discussed.

A trivial explanation for the existence of multiple nonessential genes is that deletions are not frequent enough to eliminate them.

As a result, we show that the trivial necessary conditions for the existence of LS[3](2,v,v) are sufficient for k⩽80.

Not all such questions are trivial, but questions about the existence of the sorts of entities definitive of the framework are.

A set of trivial necessary conditions for the existence of an LS[N] t,k,v) is N|v−ik−i for i=0,…,t.

System (1 - 3) has three biologically feasible equilibrium points (positive equilibrium) that are described as follows: Trivial equilibrium point (bar{E}= 0,0,0)): Existence of the trivial case is obvious as all the three populations are extinct.

In these equations, the term (y^{n}) in equation (8) is replaced by (exp y)neq0), which prevents the existence of a trivial solution.

Measuring the viscosity of pretreated biomass at relevant concentrations is not trivial, mainly due to the existence of solid fibers in the materials.