Sentence examples for component of bar from inspiring English sources

The component of (bar {boldsymbol {N}}), (bar {mathbb {N}}) and (bar {mathbb {V}}^) in dependence of the parameter λ.

where ({bar {y}}_{l}), x l, and ({bar {n}}_{l}) denote the lth component of (bar {textbf {y}}), x, and (bar {textbf {n}}), respectively.

Then (tilde {textbf {y}}), (tilde {textbf {x}}) can be easily obtained by updating kth component of (bar {textbf {y}}) and x in (9) as begin{array}rcl@ bar{y}_{k}leftarrowlambda_{k,i}bar{y}_{i}+bar{y}_{k}, x_{k}leftarrowlambda_{k,i}x_{i}+x_{k}.

Subfigure (d) show the direction dependent shear viscosity in the x-y plane, for the isotropic, and the unidirectional case (a) Components of (bar {boldsymbol {N}}(lambda)) (b) Components of (bar {mathbb {N}}(lambda)) (c) Components of (bar {mathbb {V}}^(lambda)) (d) (bar {eta }_{mathrm {s}}^(boldsymbol {p},boldsymbol {d})) for iso.

It is difficult to interpret the change of the components of (bar {mathbb {V}}^) also in Fig. 3 b, d, f, h and in Fig. 6 c.

First, the components of (bar {boldsymbol {N}}) and (bar {mathbb {V}}^) are presented for all four investigated flow cases in Fig. 3, where the corresponding component plots of the shear flow case are repeated in order to help comparison.

To demonstrate the meaning of the change of the components of (bar {mathbb {V}}^), dimensionless effective scalar viscosities are extracted from the dimensionless effective viscosity tensor, analogously as it is done in (T Böhlke 2001) for the shear modulus.

For this reason, for the other three investigated flow cases, only the component plots of (bar {boldsymbol {N}}), (bar {mathbb {V}}^) and (bar {boldsymbol {sigma }}^) are given in the following.

It means that each nation has its own abstraction of its flag as a component of the bar code flag.

This proves that the component of (bar{Y}) containing the identity is compact and hence any component of (bar{Y}) is compact by the same arguments.

Hence the component of (bar{Y}) containing the identity is isomorphic to (mathbb T^l times mathbb R^m).