Sentence examples for star vector from inspiring English sources

The set of divergence-free star vector fields is denoted by G μ 1 ( M ).

A divergence-free vector field X is a divergence-free star vector field if there exists a C 1 -neighborhood U ( X ) of X in X μ 1 ( M ) such that if Y ∈ U X X ), then every point in Crit ( Y ) is hyperbolic.

A divergence-free vector field X is a divergence-free star vector field if there exists a C 1 -neighborhood U X X ) of X in X μ 1 ( M ) such that if Y ∈ U X X ), then every point in C r i t ( Y ) is hyperbolic.

The effectiveness of the hyperbranched architecture for the gene transfection was further proved by comparing the PEHO-star-PDMAEMAs vector with a linear, molecular weight-analogous PEHO core as the control.

Lastly, from the known stars' position vectors in mathematical platform and reference frames, axes misalignment matrix representing SINS attitude errors can be estimated employing the derived relationship.

[McSweeney's]....Imagined Hollywood movie stars as digital vector art.

ϕ Y of a star-shaped distributed random vector Y having a density with dgf g and contour defining star body K allows the representation O S ( S ) I ( g ) ϕ Y ( t ) = ∫ 0 ∞ ∑ j ∫ G ( S j ) cos ( t, r θ y J j ∗ θ r n − 1 g ( r ) dr + i ∫ 0 ∞ ∑ j ∫ G ( S j ) sin ( t, r θ y J j ∗ dθ r n − 1 g ( r ) dr  .

ϕ Y of a star-shaped distributed random vector Y having a density with dgf g and contour defining star body K allows the representation O S ( S ) I ( g ) ϕ Y ( t ) = ∫ 0 ∞ ∑ j ∫ G ( S j ) cos ( t, r θ y J j ∗ θ r n − 1 g ( r ) dr + i ∫ 0 ∞ ∑ j ∫ G ( S j ) sin ( t, r θ y J j ∗ dθ r n − 1 g ( r ) dr. where denotes the Euclidean scalar product in ℝ n.

Analysis of undigested DNA (not shown) indicates that 4 out of 72 clones consisted of dimers (vector-insert-vector-insert religated, star in Fig. 2C).

In preparation of integrating over the surface of the central star, we express the vectors which appear in the above by their components.

Let Y : Ω → ℝ n be a star-shaped distributed random vector which satisfies the stochastic representation Y = d R · U S where the non-negative random variable R is independent of the star-generalized uniformly distributed random vector U S, and let moreover ϕ Y and ϕ U S denote the characteristic functions (ch.f). of the vectors Y and U S, respectively.