Sentence examples for 5 exists from inspiring English sources

Throughout this paper, we always assume that the solution of (4) and (5) exists and is unique.

A continuous solution to (5) exists also in the case when f is not continuously differentiable in [ 0, 1 ].

The resulting compound (5) exists in two conformations (i.e., E, s-cis and E, s-trans) as revealed from conformational studies.

Among the synthesized compounds, a 6-membered cyclic hydrazine bearing two benzoyl groups (5) exists in three conformational states in solution, and the major unsymmetrical conformer of 5 is similar to that of RH-5849 on the basis of 1H NMR and X-ray analyses.

Assume that system (5) exists a unique solution x ( t, ξ ) on t > 0 for any given initial data { x : − τ ≤ θ ≤ 0 } = ξ ∈ C F 0 b ( [ − τ, 0 ] ; R n ), moreover, both f ( x, y, t ) and σ ( x, y, t ) are locally bounded in ( x, y ) and uniformly bounded in t.

Let Assumptions  A, B, and (C1 - C3) be valid, then a solution of system (5) exists on ((theta_{i},theta_{i+1}]). Combining Definition 1 and Remark 3, one can get the existence of solution of impulsive and switching systems (1) and (5).

Bonerman26 exists; his vileness should be contended with.

List 99 exists alongside Criminal Review Board checks, not in isolation.

(That, by the way, is the real reason U2 exists).

I'm just glad the MX-5 exists.

In this paper, we show that an LMP 6k+5) exists for any positive integer k.