Sentence examples for contained in the image of from inspiring English sources

where ι is the inclusion map, such that the image of η is not contained in the image of f.

Since the image of η is not contained in the image of f, we see that η ′ is non-zero, thus P / rad P is a submodule of Cok ( f ).

Namely, given a map η : P → Y such that the image of η is not contained in the image of f, as well as the commutative diagram above, we may complete the diagram by adding the cokernels of the horizontal maps: Open image in new window.

There is much power contained in the image of a well-known, notorious, hateable person placed in handcuffs, locked behind bars, denouncing previous beliefs and admitting wrongs, humbling herself within a cloud of prostration.

The image (F H_{1}) of F is contained in the image (G H_{2}) of G. (exists Cin 0,infty)) such that (Vert F^h_{3}Vert leqslant CVert G^h_{3}Vert ), (forall h_{3}in h_{3}in

Thus the image Y ′ ′ of f ′ is contained in the image Y ′ of f.

For each image, the pixel-to-centimeter relationship was calculated using a standard reference contained in the image, and the area and diameter of the zone of inhibition was measured directly.

However, for accurate comparison all atoms were contained in the image simulation, including the coordination sphere of ligands and a section of graphene lattice.[ 32] Figure 1 b shows three different regions on the GOSH@Au9, each from an ac-TEM image acquired with 0.3 s exposure.

These can originate from both contrast and shape-based features contained in the image, as well as an analysis of features that are mathematically condensed into a representative set.

By using the idea of SOIL (set of indispensable labels) reported in [30] and exploiting local feature disparities, this work requires no a priori global knowledge about the number of texture classes and the types of textures contained in the images.

Note, in all the experiments, no a priori knowledge about the number and types of textures contained in the images in question is provided to the algorithm.