Sentence examples for example a vector from inspiring English sources

For example a vector field on \(M\) is characterized by a cross section \(\sigma\) of the tangent space \(T(M \); that is, \(\sigma: M \rightarrow T(M \), such that \ \pi \circ \sigma = id_{M}\), where \ \pi : T(M) \rightarrow M\) is the projection.

As an example, a vector dose of 4×10 VG/kg yielded plasma factor IX protein levels of 9 10% resulting in 55 65% activity in the human factor IX activity assay (Fig. 2A and B).

The concept of vector space will first be explained by describing two particular examples: The first example of a vector space consists of arrows in a fixed plane, starting at one fixed point.

The magnetic field B is an example of a vector field that cannot in general be described as the gradient of a scalar potential.

For example, multiplying a vector by 1/2 will result in a vector half as long in the same direction, while multiplying a vector by −2 will result in a vector twice as long but pointed in the opposite direction.

Another example is a vector of if operations, Vif a,b,c) where the ith element in the output is b i if a i is true and c i otherwise.

Figure 1 illustrates gradient vector forces, where Figure 1(b) shows an example of a vector flow field on the standard U-Image, shown in Figure 1(a), using 65 × 65 masks generated from (6), which is identical to the original GVF field.

Euclidean vectors are an example of a vector space.

A second key example of a vector space is provided by pairs of real numbers and.

The most simple example of a vector space over a field is the field itself, equipped with its standard addition and multiplication.

An example of a vector designed for this purpose is described in Figure  3A.