Sentence examples for exists limit from inspiring English sources

Let and let be a mapping. is called Gateaux differentiable at if for any, there exists limit (3.28).

From the facts that the series converges and is bounded, it follows that converges and there exists limit where Now, we claim that Otherwise, and there exists such that for From (3.91) and the last inequality, we can deduce (3.100).

While there exists limited data on enforcement, it appears unvigorous (National Highway Traffic Safety Administration 2004; Borglund et al. 1999).

However, there exists limited empirical evaluation of the statistical benefits of Stated Choice SCC) experimental designs that employ non-zero prior estimates in constructing non-orthogonal constrained designs.

Despite the instruments on the right to adequate food adopted by the United Nations, there exists limited information on how this right is perceived.

Within the context of this study, there exists limited published local information regarding the average number of drugs that a patient older than fifty years gets prescribed.

While disclosure of HIV status to adolescents is critical to facilitate access to continuum of HIV care, there still exists limited knowledge on the factors that promote or hinder disclosure of HIV status by caregivers to adolescents living with HIV.

We find that with fundamental-based rules, there exist limited information equilibria that are stable under learning.

Although research has proven that early-strength is achievable, there exist limited published durability data for these systems.

Then there exist limits lim_{ntoinfty} x_{i}(n)=c_{i}neq0, quad c_{i} inmathbb{R} cup {-infty, +infty}, i=2,3,4.

Focusing on vulnerabilities has highlighted how structural barriers exist, limiting the ability of people to effectively engage in DRR.