Fiber mapping

Proof. The role of the base space here is played by the poset Q, and the fiber maps gq are given by the acyclic matchings on the subposets ip q). The decomposition theorem tells us that there exists a poset map from P to the total space of the corresponding poset fibration, and that the fibers of this map are the same as the fibers of the fiber maps Qq. Since the latter are given by acyclic matchings, we conclude that we have a poset map from P with small fibers that corresponds precisely to the patching of acyclic matchings on the subposets 95 (g), for q Q. ... 

Figure 16.2. Tilt-angle tracking curve from the automatic fiber-mapping procedure in an experiment...

Composite materials have many distinctive characteristics reiative to isotropic materials that render application of linear elastic fracture mechanics difficult. The anisotropy and heterogeneity, both from the standpoint of the fibers versus the matrix, and from the standpoint of multiple laminae of different orientations, are the principal problems. The extension to homogeneous anisotropic materials should be straightfor-wrard because none of the basic principles used in fracture mechanics is then changed. Thus, the approximation of composite materials by homogeneous anisotropic materials is often made. Then, stress-intensity factors for anisotropic materials are calculated by use of complex variable mapping techniques. 

Two helices are packed antiparallel in the orthorhombic unit cell. Association of the helices occurs through a series of periodic carboxylate potassium water - carboxylate interactions. An axial projection of the unit-cell contents (Fig. 23b) shows that the helices and guest molecules are closely packed. This is the first crystal structure of a polysaccharide in which all the guest molecules in the unit cell, consistent with the measured fiber density, have been experimentally located from difference electron-density maps. The final / -value is 0.26 for 54 reflections, of which 43 are observed, and it is based on normal scattering factors.15... 

Figure 18 Quantitative

WAXS and MAXS. Fiber symmetry means that, even in WAXS and MAXS, the scattering pattern is completely described by a slice in reciprocal space that contains the fiber axis. Nevertheless, for 20 > 9° the tangent plane approximation is no longer valid and the detector plane is mapped on a spherical surface in reciprocal space. 

The solution to access the invisible areas is readily copied from texture analysis tilt the sample by y and receive 1 data point on the meridian that corresponds to S3 = (2/A) sin y/. The result of the mapping is shown in Fig. 2.7. Thus by recording a series of images taken at different tilt angles of the fiber the blind area can be covered to a sufficient extent. Finally, the remnant blind spots may be covered by means of... 

Figure 2.7. WAXS, 2D-detector and fiber symmetry unwarping of the detector surface to map it on the (sq, s )-slice. Fiber direction is tilted by y/ = —30° with respect to the primary beam, i = 10 cm, A. = 0.154 nm. On the detector the apparent warped grid is a square grid (edge length 3 cm)... 

Yang, K. Katehi, L. P. B. Whitaker, J. F., Electric field mapping system using an optical fiber based electrooptic probe, IEEE Microw. Wireless Comp. Lett. 2001, 11, 164 166... 

Textured semiconductor surfaces, 14 847 Textured yarn, 11 178 Texture mapping technique, 10 339-341 of lyocell fibers, 11 271 Texturing... 

Transparency mapping, 10 340-341 of optical fiber, 11 132 of organic pigments, 19 429 polymer, 20 402... 

CVSF = conduction velocity of slow = motor fibers dSCV = distal sensory nerve conduction velocity MAP k/a = proximal to distal amplitude ratio of muscle action potentials MMCV = maximal motor nerve conduction velocity MNCV = mixed nerve conduction velocity RL = residual latency of motor nerve conduction... 

Public information about infrastructures and control systems is available to potential hackers and intruders. The availability of this infrastructure and vulnerability data was demonstrated by a university graduate student, whose dissertation reportedly mapped every business and industrial sector in the American economy to the fiber-... 

Suppose we have a section of J H which specifies the base point of a fiber Then we have the Abel-Jacobi map I S S J which is birational. Now such a section exists at least locally, and we have the following maps. 

---