Sentence examples for maximal functioning from inspiring English sources

"My guess is that our neurons basically do the best they can to maintain maximal functioning for as long as they can," Sherwood says.

It is the phosphorylation of serine 727, which in the nucleus is required for maximal transcriptional stimulation, that is important in both the Ras transformation of cells as well as in the maximal functioning of mitochondrial oxidative phosphorylation.

We also introduce the following maximal functions.

Here Mt+ and Mt− are one-sided maximal functions.

In 1986, Burkholder explicitly found the maximal function for (p=2).

In Section 2, we recall some important estimates on BMO functions, maximal functions and sharp maximal functions.

In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of theLpnorms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Nirenberg type inequalities.

These operators are generalizations of the classical fractional integrals and fractional maximal functions.

Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions.

Estimates for maximal functions provide the fundamental tool for solving problems on pointwise convergence.

We deduce necessary and sufficient geometric conditions, both expressed in terms of certain maximal functions.