For example (the function in Example 1.1(2)), limsup_{ vert u vert to0}frac{H t,u)}{ vert u vert ^{2}}=limsup_{ vert u vert to0} frac{a(t) [(4 vert u vert ^{2}-1 ln(frac{1}{2}+ vert u vert )-2(frac{1}{2}+ vert u vert )^{2}+4 vert u vert +2 ]}{ vert u vert ^{2}}=+infty, that is, the function in Example 1.1 does not satisfy (1.2).
In examples 21 and 22, the court yard with its ellipsed pronoun (in example 21) and the third month (in example 22) function in the role of Carrier.
Figure 3 depicts the shape of an example smoothing function in the simplest of forms.
So, for example, a function in ℘ is regarded as a function defined on Z2 with support in ℘.
It was suggested that the terminal loop is a pivotal structure where miRNA processing 'activators' (for example, KSRP) function in a coordinated way to convey proliferating, apoptotic or differentiating cues into changes of miRNA expression.
For example, ALMTs function in anion homeostasis and mineral nutrition, (ZmALMT1) [ 61], or Cl− transport across the tonoplast (AtALMT9) [ 62].
Introduction of background noise sometimes resulted in a change in the shape (i.e. the category) of the ILD function, as shown for the example ILD function in Fig. 4E.
This is probably the most common situation in practice but it is by no means uncommon to want to explore differences in means across three or more groups, for example lung function in nonsmokers, current smokers and ex-smokers.
For example, huntingtin function in the microtubule (MT -based transport of brain derived neurotrophic factor (BDNF) vesicles is lost in HD, leading to a decreased trophic support provided by the cortical neurons to the striatal neurons (Gauthier et al, 2004).
For example, motor function in children, as well as verbal and full-scale IQ in girls, are both inversely associated with arsenic exposure (Hamadani et al. 2011; Parvez et al. 2011).
