Sentence examples for upper dimensions from inspiring English sources

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

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).

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.

SAFM is more effective than TBFM in increasing upper airway dimensions.

Given the results of the current study, increased upper airway dimensions resulting from use of SAFM could contribute to the treatment of pediatric OSA.

However, in this study, no difference was found in the upper airway dimensions in the nasopharyngeal region in the studied volunteers with this facial type.

Traditionally, studies on the changes in upper airway dimensions have consisted of analyzing the RME posttreatment effects with two-dimensional (2D) cephalometric radiographs.

The upper airway dimensions may be influenced by the facial skeletal pattern, in which the relationship between the position of the maxilla and mandible in the anteroposterior direction has great influence on space [1].