Sentence examples for bound of the total from inspiring English sources

Assuming the uniform bound of the total energy, we establish the non-collapsing property of the Calabi flow by using Donaldsonʼs estimates and Streetsʼ regularity theorem.

Section 3 also proves an a-priori bound of the total error in terms of the best approximation error for piecewise-polynomial test- and trial spaces (V_{h}).

Note that (rho(mathcal{R}_{0})) measures, at least, a lower bound of the total of number of L-S critical points.

Optimality is guaranteed when the lower bound of the total travel time of the unexplored solutions under UE principle is not less than the total travel time of a known solution under UE principle.

We show that seismological observations, depending on finite and limited wavelength and frequency bandwidth, can only provide an estimate of breakdown stress drop and breakdown work (a more general definition of seismological fracture energy) representing a lower bound of the total intrinsic power of dissipation on the fault zone.

The expected upper bound of the total difference in similarity of (22) is then quantified by max y k ∑ k = 1 n y k ∑ d = 1 D y k ε i 2 d, j 2 d ( max ) d 2 where y k = ± 1 and denotes the number of support vectors with class label y k.

Thus, an upper bound on the total number of iterations is obtained by multiplying the number of outer iterations and the number of inner iterations.

There is an upper bound on the total size of operations assigned to the same station, and an upper bound on the time that a part of a given type stays on the same station for all types.

In this paper, we introduce the notion of maximal irredundant motifs in a two-dimensional array and develop initial properties and a combinatorial argument that poses a linear bound on the total number of such motifs.

We can calculate that the lower bound on the total number of 0.1-10 0.1-10etions is 166 / 10% / 45% = 3,684.

Our perspective is quite different: we want to establish a lower bound on the total amount of genetic variation (linear plus nonlinear) that can be recaptured for predictive purposes, given data sets that have crossed the phase boundary into the region of good recovery.