Sentence examples for a better upper from inspiring English sources

198 (2007) 208 235], to provide a better upper bound of perturbation errors.

Our result gives a better upper bound than (1.5), but (1.6) still gives the better upper bound, due to the stronger assumption of (C^{2}) smoothness.

Under the assumptions of Proposition 1, our result gives a better upper bound than (1.5), although (1.6) still gives the better upper bound.

In addition, a better upper bound on the maximum number of clear 2FIs in a 2m−(m−k IV design than the one obtained by Tang et al. [2002.

In fact, since t ∈ ( c, d ) is arbitrary, if we take the midpoint of the interval ( c, d ), i.e., putting c 0 = c + d 2, then we can obtain a better upper bound of the equality (15).

If a better upper estimation (lambda_{p}^{astast}>0) holds for (lambda_{p}), then by Proposition 4.1 we can obtain some bounds (W_{v} ( x ) ) similar to the double inequality (4.19), which also implies the new type of bounds.

On the other hand, we improve the results in reference [18], and we give new and better upper bounds for the norms of an r-circulant matrix involving the generalized k-Horadam numbers.

However, as subjects with better upper limb function did not show an increased grey matter volume in the primary motor cortex leg area, an alternative interpretation could be that greater disability induces greater cortical reorganization but that this does not translate into functional gain.

In this paper, we study the Young and Hölder inequalities from the point of view of the deviation from equalities with better upper and lower bound estimates.

The design of SRFS aims to reduce the peak bandwidth consumption and variance during the distribution of VBR videos in order to achieve better upper bounds on the bandwidth peak and the variance.

Although the detectors were still far from their design sensitivity levels, the data can be used to place better upper limits on the flux of gravitational waves incident on the earth than previous direct measurements.