Alignment and grade of culverts. Part I. Determination of required size, alignment and grade of culverts.

Mode of access: Internet.

Optical tooling for precise manufacture and alignment.

Mode of access: Internet.

Alignment charts, construction and use

"Errata" slip mounted on p. 1.

The cure of church-divisions: or, Directions for weak Christians, to keep them from being dividers, or troublers of the church. With some directions to the pastors, how to deal with such Christians.

Signatures: A-Z⁸, Aa-Gg⁸, Hh-Hh².

The archaeeological intensive survey of the FAI-270 alignment in the American bottom region of Southern Illinois /

Includes index.

Operator's and organizational maintenance manual : indicators, channel alignment ID-1189/PR (NSN 5820-00-930-9204) and ID-1189 (XE-2)/PR (NSN 6625-00-181-1884).

"July 1967."

Foreign assistance : U.S. Food Aid Program to Russia had weak internal controls : report to the ranking minority member, Subcommittee on Agriculture, Rural Development and Related Agencies, Committee on Appropriations, House of Representatives /

"B-286196"--P. 3.

Propagation of spherical waves in a weak random medium.

"NsG 24-59. Sponsored by National Aeronautics and Space Administration."

Facilitating Locking Pin Alignment in Transtibial Amputees via Auto-Retracting Tethered Pin

Thesis (Master's)--University of Washington, 2016-06

Quantum doubles from a class of noncocommutative weak Hopf algebras

The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties are discussed. A new type of quasi-bicrossed products is constructed by means of weak Hopf skew-pairs of the weak Hopf algebras which are generalizations of the Hopf pairs introduced by Takeuchi. As a special case, the quantum double of a finite dimensional biperfect (noncocommutative) weak Hopf algebra is built. Examples of quantum doubles from a Clifford monoid as well as a noncommutative and noncocommutative weak Hopf algebra are given, generalizing quantum doubles from a group and a noncommutative and noncocommutative Hopf algebra, respectively. Moreover, some characterizations of quantum doubles of finite dimensional biperfect weak Hopf algebras are obtained. (C) 2004 American Institute of Physics.

Partial regularity of weak solutions of the liquid crystal equilibrium system

For a parameter, we consider the modified relaxed energy of the liquid crystal system. Each minimizer of the modified relaxed energy is a weak solution to the liquid crystal equilibrium system. We prove the partial regularity of minimizers of the modified relaxed energy. We also prove the existence of infinitely many weak solutions for the special boundary value x.

Emergent anisotropy and flow alignment in viscous rock

A novel class of nonlinear, visco-elastic rheologies has recently been developed by MUHLHAUS et al. (2002a, b). The theory was originally developed for the simulation of large deformation processes including folding and kinking in multi-layered visco-elastic rock. The orientation of the layer surfaces or slip planes in the context of crystallographic slip is determined by the normal vector the so-called director of these surfaces. Here the model (MUHLHAUS et al., 2002a, b) is generalized to include thermal effects; it is shown that in 2-D steady states the director is given by the gradient of the flow potential. The model is applied to anisotropic simple shear where the directors are initially parallel to the shear direction. The relative effects of textural hardening and thermal softening are demonstrated. We then turn to natural convection and compare the time evolution and approximately steady states of isotropic and anisotropic convection for a Rayleigh number Ra=5.64x10(5) for aspect ratios of the experimental domain of 1 and 2, respectively. The isotropic case has a simple steady-state solution, whereas in the orthotropic convection model patterns evolve continuously in the core of the convection cell, which makes only a near-steady condition possible. This near-steady state condition shows well aligned boundary layers, and the number of convection cells which develop appears to be reduced in the orthotropic case. At the moderate Rayleigh numbers explored here we found only minor influences in the change from aspect ratio one to two in the model domain.

Measurement of quantum weak values of photon polarization

We experimentally determine weak values for a single photon's polarization, obtained via a weak measurement that employs a two-photon entangling operation, and postselection. The weak values cannot be explained by a semiclassical wave theory, due to the two-photon entanglement. We observe the variation in the size of the weak value with measurement strength, obtaining an average measurement of the S-1 Stokes parameter more than an order of magnitude outside of the operator's spectrum for the smallest measurement strengths.