Sentence examples for establish an upper bound from inspiring English sources

Using exponential contraction, we establish an upper bound for the Morse lemma that is optimal up to multiplicative constants, which we demonstrate by presenting a concrete example.

We establish an upper bound O(h−n+1) for the number of the resonances of P(h) lying in a disk of radius h.

Given an input graph G, we establish an upper bound to approximate the colouring of the input grap given by ⌈δ(G /2⌉+2 where δ(G) is the average degree of G.

We discuss the importance of the spatiotemporal characteristics of the magnetic field in cortical tissue for evaluating and optimizing an experiment based on this mechanism and establish an upper bound for the expected MRI signal change due to stimulus-induced cortical response.

In this paper, we consider the quasi-symmetric 2-design for the block intersection sizes x and y="x+3 and establish an upper bound for the replication number r which is stronger than that of Mavron et al. (2012) [7] keeping the smallest value of λ as just 6.

First, we shall establish an upper bound for x n.

Also, final values of the ordering state for (eta _{f}) and (sigma _{f}) establish an upper bounded for the learning parameters in this state.

An error-free channel was assumed establishing an upper bound on channel utilization.

Additionally, we address the challenge of establishing an upper bound on solar power output.

This establishes an upper bound for L and completes the proof.

In this appendix, we provide a proof of Proposition 1, which establishes an upper bound for the number of NE of the game G ( b ).