For solar studies, the radar wavelength must be longer than the Debye length, a

characteristic length scale in a plasma.

Objective: Colloid and polymer science allows the engineering of acoustic and optical material functionalities of hierarchical structures on various length scales commensurate with and well below the

characteristic length scales of phonons and photons.

The parameter [gamma] determined by the value of the initial curvature [4], and is used also to determine the

characteristic length m.

d), the

characteristic length was proportional to cross sectional average suspension density.

It was shown that when the geometric parameter of the ratio of length to diameter increases, or in other words, when the nanotube becomes narrower, scale down has less effects on the critical load due to the high length of the tube in comparison with its internal

characteristic length such as bond length.

infinity]]; viscous

characteristic length [LAMBDA] ([micro]m), and thermal

characteristic length [LAMBDA] ([micro]m).

0] as a

characteristic length, and the separable generating function

The mathematical model which is the scope of this study was first proposed by Jacobs 1 as Cd= Dp * In(E0/Ec) where Cd is the depth of cure of the polymer millimeters, E0 is the input energy at the surface of the resin J/cm 2, Ec is the minimum exposure required to allow the polymer to reach its gel point, and Dp is a material dependent and wavelength dependent

characteristic length and is defined as the resin penetration depth at a particular wavelength.

25 m/s) and L is the

characteristic length of the space being evaluated.

Using this fit, the

characteristic length and height numbers were calculated and the centerline trajectory for three pipe sizes was calculated as in Figure 4.

All these methods explicitly or implicitly incorporate a material

characteristic length to control the width of the localization band, thus prevent strain from localizing into infinitely narrow zones and allow mesh-independent description of energy dissipation in a localized failure process.

H

Characteristic length dimension (Vertical Distance between the plates)