An automaton-theoretic approach to the representation theory of quantum algebras

We develop a new approach to the representation theory of quantum algebras supporting a torus action via methods from the theory of finite-state automata and algebraic combinatorics. We show that for a fixed number $m$, the torus-invariant primitive ideals in $m\times n$ quantum matrices can be seen as a regular language in a natural way. Using this description and a semigroup approach to the set of Cauchon diagrams, a combinatorial object that paramaterizes the primes that are torus-invariant, we show that for $m$ fixed, the number of torus-invariant primitive ideals in $m\times n$ quantum matrices satisfies a linear recurrence in $n$ over the rational numbers. In the $3\times n$ case we give a concrete description of the torus-invariant primitive ideals and use this description to give an explicit formula for the number P(3,n).Comment: 31 page

Temporary Repair Of A Large Axial Blast Furnace Motor-Blower As A Solution For A Steel Mill Operational Continuity.

LecturePg. 73-82The repair work of a large axial blower that had its rotor and stator blades severely damaged is described. The 43 MW axial air blower is of critical importance for a large steel mill in Brazil, and the repair time was of the utmost importance. The circumstances in which the failure occurred, along with the investigation work for the causes, are also discussed. The failure of a second blower while the first one was under repair, which brought about a serious risk of loss of a blast furnace, and the measures taken to put it back to operation in a very short time, are also discussed. _ The purpose herein is to demonstrate the feasibility of reliable temporary repairs on mechanically damaged machines to reduce production loss in a very short time

Registration of the transition radiation with GaAs detector: Data/MC comparison

New developments of pixel detectors based on GaAs sensors offer effective registration of the transition radiation (TR) X-rays and perform simultaneous measurements of their energies and emission angles. This unique feature opens new possibilities for particle identification on the basis of maximum available information about generated TR photons. Results of studies of TR energy-Angular distributions using a 500 |j.m thick GaAs sensor attached to a Timepix3 chip are presented. Measurements, analysis techniques and a comparison with Monte Carlo (MC) simulations are described and discussed

Determination of fission barrier height of Fr 210 and Ra 210 via neutron measurement

Fission barrier heights of short-lived nuclei away from line of β stability are not known reliably. Low-energy fission of Fr210 and Ra210, produced by (d,p) and (d,n) transfer reaction on the re-accelerated unstable beam Fr209 was investigated at HIE-ISOLDE. Four Timepix3 pixel detectors were installed on the body of the ACTAR TPC demonstrator chamber. Polyethylene converters were used for the detection of fast neutrons. Since no significant background was observed, it was possible to measure the spatial distribution of emitted neutrons reflecting the fission excitation function. Subsequent simulations employing the results of the talys code and available data on fission fragment distributions allowed to estimate directly the value of the fission barrier height for the neutron-deficient nucleus Fr210. This first direct measurement confirmed the reduction of the fission barrier compared to available theoretical calculations by 15-30%

Efficiency of Ruminant Utilization of Alfalfa Products

Alfalfa has been considered as one of the most important forage crops in the world. Certain studies have indicated that ruminants do not perform as well as expected when fed alfalfa products which contain the leaves. The present studies were initiated to determine if there was an actual problem associated with feeding of alfalfa leaves to ruminants. Experiments were conducted to determine the feeding value of various alfalfa products and to determine if alfalfa leaves limit animal performance. Leaf and stem alfalfa products, produced by air separation, were fed to ruminant animals. Second cutting alfalfa stems and alfalfa whole plant, third cutting alfalfa stems and alfalfa whole plant and two limit fed concentrate rations were evaluated in a cattle growth trial. Alfalfa whole plant plus soybean meal and corn cobs, alfalfa whole plant and corn cobs, alfalfa stems and corn cobs, alfalfa whole plant, and alfalfa stem were also fed in a sheep growth study. The digestibilities of the rations used in the growth trials were determined with lambs. A digestion trial was also conducted with three rations containing 100, 66 and 33 percent alfalfa leaves and three comparable rations made up of wheat straw, corn and soybean-meal. Advisor: Terry J. Klopfenstei