Sentence examples for upper dimension from inspiring English sources

Suppose that (|s|upper dimension of ((X,d,mu)).

Suppose that (|s|upper dimension of ((X,d,mu)).

We point out that the doubling condition (1.2) implies that there exists a positive constant (omega:=log_{2} C) (the upper dimension of μ) such that for all (xin X), (lambdageq1) and (r > 0), begin{aligned} mubigl(B x, lambda r bigr) leq Clambda^{omega} mu bigl(B x,r bigr).

However, considering upper dimensions yields to new difficulties essentially from a numerical point of view.

Forty-nine anthropometry dimensions were measured consisting of 28 upper body dimensions and 21 of lower body dimensions.

The benefits of oral appliance therapy on upper airway dimension in OSA patients are well established [15]-[18] [15]-[18]

Here, we consider the displacement of an ant in a labyrinth near the percolation threshold on cubic lattices both below and above the upper critical dimension of simple percolation, d_u=6.

Finally, we observed a decrease of upper limb dimension in comparison with healthy side regardless of revival of motor function.

We hypothesize that upper airway dimensions have significant effects on the dynamics of the airway flow and that both the dimensions and mechanics of the upper airway are greatly affected by orthodontic and orthopedic procedures such as rapid maxillary expansion (RME).

There were marked increases in upper airway dimensions in both groups following treatment, but the SAFM group had a significantly greater increase in airway dimensions than the TBFM group.

The object of this study was twofold: (1) to examine the effect of obesity on pharyngeal size in both men and women, and (2) to determine the role of upper airway dimensions in the expression of sleep-disordered breathing (SDB) and its relationship to gender.