A review of recent developments in the quantum differential calculus. The quantum group GL[sub q](n) is treated by considering it as a particular quantum space. Functions on SL[sub q] (n) are defined as a subclass of functions on GL[sub q](n). The case of SO[sub q](n) is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.

We discussed the use of renormalization counterterms to restore the chiral gauge symmetry in a lattice theory of Wilson fermions. We show that a large class of counterterms can be implemented automatically by making a simple modification to the fermion determinant.

Coherent anti-Stokes Raman Spectroscopy (CARS) is used to study the plasma-assisted chemical vapor deposition (PACVD) of TiB{sub 2}. CARS is applied to the dominent species in an inductively coupled B{sub 2}H{sub 6}/Ar rf plasma. Axial concentration profiles of diborane and hydrogen are probed in the plasma. A five-step mechanism is developed. Photochemical initiation of the chemical reaction is considered. 16 refs, 5 figs.(DLC)

The role of subjective experience in physical theory is discussed, with particular attention to the later ideas of Wolfgang Pauli. These ideas appear to open the door to a unified framework for the development of science.

In this paper we describe a solution strategy to determine the natural frequencies of piezoelectric crystals subject to moderate changes in temperature and a variety of boundary constraints. The finite element equations governing piezoelectricity are derived based upon a Galerkin formulation of the problem. Suitable assumptions are made to linearize the steady-state (static) problem leading to an iteration scheme that can be used to refine the solution and include non-linear geometric effects caused by deformation. The eigenvalue problem is cast in this perturbed state to allow more accurate prediction of resonant frequencies.

A review of recent developments in the quantum differential calculus. The quantum group GL{sub q}(n) is treated by considering it as a particular quantum space. Functions on SL{sub q} (n) are defined as a subclass of functions on GL{sub q}(n). The case of SO{sub q}(n) is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.

This paper presents a number of interesting and thought-provoking scenarios about the future use of advanced technology in the design and operation of commercial buildings. I will express my reactions in the following series of short paragraphs. These thoughts will, I hope, raise some new questions and offer fruitful directions for further exploration.

A pulse stretcher has been designed for the LLNL sodium guide star experiment to lower the laser flux and avoid saturation effects. The optical design, mechanical layout and wavefront error analysis are presented.

The US Department of Energy (DOE) has developed a site characterization plan (SCP) to collect detailed information on geology, geohydrology, geochemistry, geoengineering, hydrology, climate, and meteorology (collectively referred to as ``geologic information``) of the Yucca Mountain site. This information will be used to determine if a mined geologic disposal system (MGDS) capable of isolating high-level radioactive waste without adverse effects to public health and safety over 10,000 years, as required by regulations 40 CFR Part 191 and 10 CFR Part 60, could be constructed at the Yucca Mountain site. Forecasts of future climates conditions for the Yucca Mountain area will be based on both empirical and numerical techniques. The empirical modeling is based on the assumption that future climate change will follow past patterns. In this approach, paleclimate records will be analyzed to estimate the nature, timing, and probability of occurrence of certain climate states such as glacials and interglacials over the next 10,000 years. For a given state, key climate parameters such as precipitation and temperature will be assumed to be the same as determined from the paleoclimate data. The numerical approach, which is the primary focus of this paper, involves the numerical solution of basic equations associated with …

Abstracts are presented of 63 papers on the following topics: large-scale optimization, interior-point methods, algorithms for optimization, problems in control, network optimization methods, and parallel algorithms for optimization problems.

This paper presents a number of interesting and thought-provoking scenarios about the future use of advanced technology in the design and operation of commercial buildings. I will express my reactions in the following series of short paragraphs. These thoughts will, I hope, raise some new questions and offer fruitful directions for further exploration.

We discussed the use of renormalization counterterms to restore the chiral gauge symmetry in a lattice theory of Wilson fermions. We show that a large class of counterterms can be implemented automatically by making a simple modification to the fermion determinant.

Abstracts are presented of 63 papers on the following topics: large-scale optimization, interior-point methods, algorithms for optimization, problems in control, network optimization methods, and parallel algorithms for optimization problems.

The role of subjective experience in physical theory is discussed, with particular attention to the later ideas of Wolfgang Pauli. These ideas appear to open the door to a unified framework for the development of science.

In this paper we describe a solution strategy to determine the natural frequencies of piezoelectric crystals subject to moderate changes in temperature and a variety of boundary constraints. The finite element equations governing piezoelectricity are derived based upon a Galerkin formulation of the problem. Suitable assumptions are made to linearize the steady-state (static) problem leading to an iteration scheme that can be used to refine the solution and include non-linear geometric effects caused by deformation. The eigenvalue problem is cast in this perturbed state to allow more accurate prediction of resonant frequencies.

We suggest a phenomenological model describing the sum rules for the real and virtual polarized photon absorption on the nucleon. The contribution of the isobar delta-(1232) electroproduction, essential at small Q{sup 2}, has been subtracted quantitatively. The model predictions are compared with the results of the EMC polarized structure function measurements on the photon.