Sentence examples for decreasing smooth from inspiring English sources

By S = S ( R n ; E ), we denote the Schwartz space of rapidly decreasing smooth functions.

(2.5) The characterizations (2.1), (2.2), and (2.4) are all equivalent, for instance, in Schwartz's space of rapidly decreasing smooth functions.

Let denote the Schwartz class, that is, the space of all -valued rapidly decreasing smooth functions on.

Let S (R n ; E) denotes a Schwartz class, i.e., the space of all E-valued rapidly decreasing smooth functions on R n.

Let S ( R n ; E ) denote the Schwartz class, i.e., the space of all E-valued rapidly decreasing smooth functions on R n.

Let S ( R n ; E ) denote the Schwarz class, i.e., the space of all E-valued rapidly decreasing smooth functions on R n.

Therefore, the main idea is to initially detect the edges applying a strong Gaussian smoothing and then focus on these edges by tracking them over decreasing smoothing scale.

Mice expressing low levels of the spindle assembly checkpoint protein BubR1 develop aging-associated vascular changes at a young age, including decreased smooth muscle cells and increased reactive oxygen species (ROS) production.

The decreased SMAD2 phosphorylation was associated with significantly decreased smooth muscle α-actin expression in Wnt3a-treated cells that had been transfected with β-catenin siRNA (Figure 5C).

They also displayed profound changes in plaque composition, as evidenced by increased macrophage infiltration and apoptosis, increased lipid content, and decreased smooth muscle cell mass, all reflecting an unstable plaque phenotype.

In addition, adiponectin decreases smooth muscle cell proliferation and TNF α expression in macrophages [ 91].