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Construction of the Courant-Snyder invariants for the non-linear equations of motion and criterion for the long-term stability of the beam in a storage ring
The Courant-Snyder invariants become Lyapunov functions when the [beta]-functions admit non-zero lower, and finite upper bounds. The long-term stability of motion then follows. This alternative criterion for the long-term stability of motion can be generalized to the nonlinear case. A single particle subjected to an arbitrary static magnetic field is considered in some detail, as an example.
Date:
April 26, 1993
Creator:
Garczynski, V.
Object Type:
Report
System:
The UNT Digital Library
A very-low-Q diffractometer for an advanced spallation source
Proposals to build new, more powerful spallation sources and the introduction of advanced moderator concepts will result in neutron sources that are 20 times more luminous than the brightest available today. These developments provide opportunity and challenge to expand the capabilities of present low-Q instruments using new designs. A particularly interesting case is the design of an instrument capable of measurements to very low'' momentum transfer, say Q [approx] 0.0007 [Angstrom][sup [minus]1]. We consider an instrument to be built on a 20 Hz, 330 kW target and viewing a coupled liquid-hydrogen moderator. The instrument would use a frame-definition chopper to select a wavelength band suitable for the required Q-domain. Monte Carlo optimization of the geometry was performed by choosing the minimum observable Q always to be 0.0007 [Angstrom][sup [minus]1] and then maximizing intensity/variance at Q = 0.0020 [Angstrom][sup [minus]1] while maintaining reasonable constraints. The resulting design is 48 m long, with a maximum wavelength band 16.9 [Angstrom] [le] [lambda] [le] 20.5 [Angstrom]. The Monte Carlo simulations of instrument performance include wavelength-dependent effects from aluminum and fused silica windows, air, chopper opening and closing times and phase jitter, measured spectrum and detector efficiencies, sample transmission and multiple scattering, and gravity. The …
Date:
January 1, 1993
Creator:
Seeger, P.A. & Hjelm, R.P.
Object Type:
Article
System:
The UNT Digital Library
Dynamic impact and pressure analysis of the insensitive munitions container PA103 with modified design features
This report presents analytical analyses of the insensitive munitions container PA103, with modified design features for a static internal pressure of 500 psi and for a dynamic impact resulting from a 7-ft free fall onto a rigid surface. The modified design features addressed by the analyses were the inclusion of a score pattern on the container cylindrical body and a plastic plate (fuse) sandwiched between metal flanges on the container end. The objectives of both the pressure and impact analyses were to determine if the induced stresses at the score patterns in the cylindrical body of the container were sufficient to induce failure. Analytical responses of the container to the imposed loads were obtained with finite element analysis methodology. The computer codes ABAQUS and VEC/DYNA3D were used to obtain the results. Results of the pressure analysis indicate that failure of the container body would be expected to occur at the score pattern for a static internal pressure of 500 psi. Also, results from three impact orientations for a 7-ft drop indicate that membrane stresses in the vicinity of the score pattern are above critical crack growth stress magnitudes, especially at low ([minus]60[degrees]F) temperatures.
Date:
June 1, 1993
Creator:
Handy, K.D.
Object Type:
Report
System:
The UNT Digital Library
Advanced power systems featuring a closely coupled catalytic gasification carbonate fuel cell plant
Pursuing the key national goal of clean and efficient uulization of the abundant domestic coal resources for power generation, a study was conducted with DOE/METC support to evaluate the potential of integrated gasification/carbonate fuel cell power generation systems. By closely coupling the fuel cell with the operation of a catalytic gasifier, the advantages of both the catalytic gasification and the high efficiency fuel cell complement each other, resulting in a power plant system with unsurpassed efficiencies approaching 55% (HHV). Low temperature catalytic gasification producing a high methane fuel gas offers the potential for high gas efficiencies by operating with minimal or no combustion. Heat required for gasification is provided by combination of recycle from the fuel cell and exothermic methanation and shift reactions. Air can be supplemented if required. In combination with internally reforming carbonate fuel cells, low temperature catalytic gasification can achieve very attractive system efficiencies while producing extremely low emissions compared to conventional plants utilizing coal. Three system configurations based on recoverable and disposable gasification catalysts were studied. Experimental tests were conducted to evaluate these gasification catalysts. The recoverable catalyst studied was potassium carbonate, and the disposable catalysts were calcium in the form of limestone and iron in …
Date:
January 1, 1993
Creator:
Steinfeld, G. & Wilson, W.G.
Object Type:
Article
System:
The UNT Digital Library
TACB Bulletin, Number 1, January-February 1993
Newsletter of the Texas Air Control Board including information about the Board as well as news, events, and other relevant information related to air quality in Texas.
Date:
1993-01/1993-02
Creator:
Texas Air Control Board
Object Type:
Journal/Magazine/Newsletter
System:
The Portal to Texas History
Wave function calculations in finite nuclei
One of the central problems in nuclear physics is the description of nuclei as systems of nucleons interacting via realistic potentials. There are two main aspects of this problem: (1) specification of the Hamiltonian, and (2) calculation of the ground (or excited) states of nuclei with the given interaction. Realistic interactions must contain both two- and three-nucleon potentials and these potentials have a complicated non-central operator structure consisting, for example, of spin, isospin and tensor dependencies. This structure results in formidable many-body problems in the computation of the ground states of nuclei. At Argonne and Urbana, the authors have been following a program of developing realistic NN and NNN interactions and the methods necessary to compute nuclear properties from variational wave functions suitable for these interactions. The wave functions are used to compute energies, density distributions, charge form factors, structure functions, momentum distributions, etc. Most recently they have set up a collaboration with S. Boffi and M. Raduci (University of Pavia) to compute (e,e[prime]p) reactions.
Date:
January 1, 1993
Creator:
Pieper, Steven C.
Object Type:
Article
System:
The UNT Digital Library
Nuclear Medicine Program progress report for quarter ending March 31, 1993
We have exploring the possibility of measuring urinary radioactivity as an index of pancreatic lipase activity after oral administration of a new triglyceride containing a radioactive iodine-1 25-labeled fatty acid moiety. The new agent, 1,2-dipalmitoyl-3[15-(p-iodophenyl)pentandecan-l-oyl]-racglycerol (1,2-Pal-3-IPPA), was prepared by the thallation-iodide displacement method. Following oral gavage of the radioiodinated triglyceride to rats, about 30% of the administered activity was excreted in 24 hours in the urine. In normal human controls an higher urinary excretion (of about 75% was observed. In this report, we describe an evaluation of the metabolites excreted in the urine and the chemical species stored in adipose from rats. The urine activity co-chromatographed with hippuric acid by TLC indicating conjugation of the IPPA metabolites. Release of the acidic components from the conjugated excretory products by acid hydrolysis of the urine provided the radioactive acidic IPPA metabolites. Analysis of the Folch extracts of fat samples from rats demonstrated that the radioactive components co-chromatographed In the triglyceride region. Recent studies in patients with compromised pancreatic exocrine function have demonstrated significantly decreased 24 hr. urinary excretion of about 25%, following oral administration of [1 -1 31]-1,2-Pal-3-IPPA. Thus, urine analysis after oral administration of [I -1 31]-1,2-Pal-3-IPPA may be a simple, …
Date:
April 1, 1993
Creator:
Knapp, F. F. Jr.; Ambrose, K. R.; Beets, A. L.; Callahan, A. P.; McPherson, D. W.; Mirzadeh, S. et al.
Object Type:
Report
System:
The UNT Digital Library
Luminance controlled pupil size affects Landolt C task performance
Subjects judged the orientation of a 2 min. gap Landolt C located at a distance of 2.4 m. The stimuli were presented in central vision on a CRT, at low to medium contrast. The effects of varying the spectrum and luminance of surround lighting were assessed on both pupil size (measured using infrared pupillometry during task performance) and task accuracy. The task display was protected from the surround lighting, so that its luminance and contrast could be varied independently of the changes in the surround lighting. Indirect surround illumination was provided by either two illuminants of very different scotopic spectral content but with the same photopic luminance (Experiments 1 and 3), or by using the same illuminant at two different luminance levels (Experiment 2). In Experiment 3, the effect of changing surround spectrum was compared to the effect of varying task background luminance between 12 cd/m[sup 2] and 73 cd/m[sup 2]. In all experiments, scotopically enhanced surround lighting produced pupil areas which were reduced by almost 50% in comparison with surround lighting with relatively less scotopic luminance. Concomitantly there was improvement in Landolt C task performance with the scotopically enhanced surround lighting at all contrast and luminance levels. In these …
Date:
February 1, 1993
Creator:
Berman, S.M. (Lawrence Berkeley Lab., CA (United States)); Fein, G. (Neurobehavioral Lab. Software, San Rafael, CA (United States)); Jewett, D.L. & Ashford, F. (ABRATech Corp., Mill Valley, CA (United States))
Object Type:
Article
System:
The UNT Digital Library
[Computer Science and Telecommunications Board activities]
The board considers technical and policy issues pertaining to computer science, telecommunications, and associated technologies. Functions include providing a base of expertise for these fields in NRC, monitoring and promoting health of these fields, initiating studies of these fields as critical resources and sources of national economic strength, responding to requests for advice, and fostering interaction among the technologies and the other pure and applied science and technology. This document describes its major accomplishments, current programs, other sponsored activities, cooperative ventures, and plans and prospects.
Date:
February 23, 1993
Creator:
Blumenthal, M. S.
Object Type:
Report
System:
The UNT Digital Library
Surveillance of Site A and Plot M
The results of the environmental surveillance program conducted at Site A/Plot M in the Palos Forest Preserve area for CY 1992 are presented. The surveillance program is the ongoing remedial action that resulted from the 1976--1978 radiological characterization of the site. That study determined that very low levels of hydrogen-3 (as tritiated water) had migrated from the burial ground and were present in two nearby hand-pumped picnic wells. The current program consists of sample collection and analysis of air, surface and subsurface water, and bottom sediment. The results of the analyses are used to (1) determine the migration pathway of water from the burial ground (Plot M) to the hand-pumped picnic wells, (2) establish if buried radionuclides other than hydrogen-3 have migrated, and (3) generally characterize the radiological environment of the area. Hydrogen-3 in the Red Gate Woods picnic wells was still detected this year, but the average and maximum concentrations were significantly less than found earlier. Tritiated water continues to be detected in a number of wells, boreholes, dolomite holes, and a surface stream. For many years it was the only radionuclide found to have migrated in measurable quantities. Analyses since 1984 have indicated the presence of low levels …
Date:
May 1, 1993
Creator:
Golchert, N.W.
Object Type:
Report
System:
The UNT Digital Library
ARIES tokamak reactor study
This report examines the feasibility of a standard poloidal diverter design for ARIES- 2/4 with the determination of the peak thermal loading on, and the plasma temperature facing a poloidal double null diverter. The ARIES-2/4 reactors produce 2,141 MW of fusion power of which 1712 MW is contained in the neutron channel. Of the remaining 429 MW of charged particle power, 47 MW is radiated from the core by bremsstrahlung and synchrotron modes to the vessel walls. The remaining 382 MW of charged particle or transport power crosses the core/edge interface. The fact that the bulk of the power is contained in the neutron channel makes the application of a poloidal divertor possible. The ARIES-2/4 diverter constraints for peak heat load and peak particle temperature are set by current technology and materials knowledge. Divertor geometry constraints are imposed by the plasma equilibrium and the 2/4 vacuum vessel. The diverter heat load and plasma temperatures are determined from edge particle and energy balances. These balances are important characteristics of the plasma edge because the transport power from the plasma core must pass through the edge and be deposited on tokamak components. The Braams' B2 code is a multifluid ion and electron …
Date:
July 1, 1993
Creator:
Steiner, D.
Object Type:
Report
System:
The UNT Digital Library
Development of a neural net paradigm that predicts simulator sickness
A disease exists that affects pilots and aircrew members who use Navy Operational Flight Training Systems. This malady, commonly referred to as simulator sickness and whose symptomatology closely aligns with that of motion sickness, can compromise the use of these systems because of a reduced utilization factor, negative transfer of training, and reduction in combat readiness. A report is submitted that develops an artificial neural network (ANN) and behavioral model that predicts the onset and level of simulator sickness in the pilots and aircrews who sue these systems. It is proposed that the paradigm could be implemented in real time as a biofeedback monitor to reduce the risk to users of these systems. The model captures the neurophysiological impact of use (human-machine interaction) by developing a structure that maps the associative and nonassociative behavioral patterns (learned expectations) and vestibular (otolith and semicircular canals of the inner ear) and tactile interaction, derived from system acceleration profiles, onto an abstract space that predicts simulator sickness for a given training flight.
Date:
March 1, 1993
Creator:
Allgood, G.O.
Object Type:
Report
System:
The UNT Digital Library
A superconducting short period undulator for a harmonic generation FEL experiment
A three stage superconducting (SC) undulator for a high gain harmonic generation (HGE) FEL experiment in the infrared is under construction at the NSLS in collaboration with Grumman Corporation. A novel undulator technology suitable for short period (6--40mm) undulators will be employed for all three stages, the modulator, the dispersive section and the radiator. The undulator triples the frequency of a 10.4[mu]m CO[sub 2] seed laser. So far a 27 period (one third of the final radiator) prototype radiator has been designed, built and tested.
Date:
January 1, 1993
Creator:
Ingold, G.; Solomon, L.; Ben-Zvi, Ilan; Krinsky, S.; Li, D.; Lynch, D. et al.
Object Type:
Article
System:
The UNT Digital Library
Production of jets in association with W vector bosons in the D0 detector
The D0 detector has accumulating data at the Fermilab Tevatron at [radical]s = 1.8 TeV for several months. In this paper we present the results of an analysis based on 1.1 pb[sup [minus]1] of data. We compare the observed W transverse momentum distributions of W+0jet and W+1jet events with a full D0 detector simulated leading order Monte Carlo. The jet multiplicity distributions associated with W are presented as well as new method of testing NLO QCD predictions and measuring the strong coupling constant [alpha][sub s].
Date:
March 1, 1993
Creator:
Yu, J. (State Univ. of New York, Stony Brook, NY (United States))
Object Type:
Article
System:
The UNT Digital Library
Nuclear Spectroscopic Studies
The Nuclear Physics group at the University of Tennessee, Knoxville is involved in several aspects of heavy-ion physics including both nuclear structure and reaction mechanisms. While our main emphasis is on experimental problems involving heavy-ion accelerators, we have maintained a strong collaboration with several theorists in order to best pursue the physics of our measurements. During the last year we have led several experiments at the Holifield Heavy Ion Research Facility and participated in others at Argonne National Laboratory. Also, we continue to be very active in the collaboration to study ultra-relativistic heavy ion physics utilizing the SPS accelerator at CERN in Geneva, Switzerland and in a RHIC detector R D project. Our experimental work is in four broad areas: (1) the structure of nuclei at high angular momentum, (2) heavy-ion induced transfer reactions, (3) the structure of nuclei far from stability, and (4) ultra-relativistic heavy-ion physics. The results of studies in these particular areas will be described in this document in sections IIA, IIB, IIC, and IID, respectively. Areas (1), (3), and (4) concentrate on the structure of nuclear matter in extreme conditions of rotational motion, imbalance of neutrons and protons, or very high temperature and density. Area (2) …
Date:
February 8, 1993
Creator:
Bingham, C. R.; Guidry, M. W.; Riedinger, L. L. & Sorensen, S. P.
Object Type:
Report
System:
The UNT Digital Library
Appendix SET-TMP-PT of the Experiment Operating Specification for the Savannah River One-Fourth Linear Scale, One-Sixth Sector, Tank/Muff/Pump (TMP) Separate Effects Tests (SET) experiment series
The Savannah River One-Fourth Linear Scale, One-Sixth Sector, Tank-Muff-Pump (TMP) Separate Effects Tests (SET) are being conducted by the Idaho National Engineering Laboratory to investigate Savannah River Site (SRS) production reactor tank, muff, pump suction, and pump hydraulic response phenomena for large break loss-of-coolant accident (LBLOCA) scenarios. The test series consists of experiments representing a range of hydraulic conditions and geometries which bound those anticipated for LBLOCAs in SRS reactors. Data from these experiments will be examined to identify important hydraulic phenomena with the objective of providing data for benchmarking code calculations. Information obtained from the SET series will also expand the SRS data base on reactor LBLOCA events. Due to inherent scaling distortions and facility limitations, the results of experiments in the SET series will not be precise replications of full-scale Savannah River Site production reactor (SRSPR) response, but will provide hydraulic behavior sufficiently representative of full-scale SRSPR behavior to preserve important hydraulic phenomena and satisfy test objectives. This document is Appendix SET-TMP-PT of the Experiment Operating Specification for the third set of experiments in the SET series. It contains information on experiment operation and facility configuration necessary to meet the key objectives stated in the bingham pump formal …
Date:
May 1, 1993
Creator:
Bollinger, J. S.; Anderson, J. L.; Boucher, T. J. & Sterrett, J. D.
Object Type:
Report
System:
The UNT Digital Library
Development of a Coal Quality Expert
Task 3 provides detailed characterization of fuel properties of the test coals and in-depth evaluation of their performance characteristics under controlled pilot-scale combustion testing. Results from this task provide fundamental information required to develop some of the improved algorithms for the CQE. Both bench-scale fuel characterization and test furnace performance evaluations are being performed under this task. All pilot-scale combustion tests under this task have been completed. Topical reports for the coals evaluated under the Public Service Oklahoma's Northeastern Unit 4 and Northern States Power's King Unit 1 test series have been issued. Work continued during the past quarter on preparation of the final report for the Mississippi Power Company's Watson Unit 4 tests (to be completed first quarter 1993) and analyzing pilot-scale combustion data from the Alabama Power Company's Gaston tests; a topical report for the Gaston study will also be issued in 1993. Bench-scale testing and data analyses continued in support of the development of the slagging and fouling models. Data obtained from the analysis of samples of deposits, inflame solids, fly ash, and coal from CQE pilot-scale and drop tube combustion tests were evaluated for use in devising and verifying the slagging and fouling algorithms.
Date:
May 20, 1993
Creator:
unknown
Object Type:
Report
System:
The UNT Digital Library
Measurements of the total CO[sub 2] concentration and partial pressure of CO[sub 2] in seawater during WOCE expeditions in the South Pacific Ocean
During the first year of the grant, we participated in three WOCE expeditions (a total of 152 days at sea) in the South Pacific Ocean, and the field phase of the proposed investigation has been successfully completed. The total CO[sub 2] concentration and pCO[sub 2] were determined at sea in 4419 water samples collected at 422 stations. On the basis of the shipboard analyses of SIO Reference Solutions for CO, and a comparison with the results of previous expeditions, the overall precision of our total CO[sub 2] determinations is estimated to be about [plus minus]2 uM/kg. The deep water data indicate that there is a CO[sub 2] maximum centered about 2600 meters deep. This appears to represent a southward return flow from the North Pacific. The magnitude and distribution of the CO, maximum observed along the 135.0[degrees]W meridian differ from those observed along the 150.5[degrees]W meridian due to Tuamotu Archipelago, a topographic high which interferes with the southward return flow. The surface water pCO[sub 2] data indicate that the South Pacific sub-tropical gyre water located between about 15[degrees]S and 50[degrees]S is a sink for atmospheric CO[sub 2].
Date:
June 29, 1993
Creator:
Takahashi, T.; Goddard, J. G.; Chipman, D. W. & Rubin, S. I.
Object Type:
Report
System:
The UNT Digital Library
The development of iodine-123-methyl-branched fatty acids and their applications in nuclear cardiology
Continued Interest in the use of iodine-1 23-labeled fatty acids for myocardial Imaging results from observations from a variety of studies that in many types of cardiac disease, regional fatty acid myocardial uptake patterns are often different than regional distribution of flow tracers. These differences may reflect alterations in important parameters of metabolism which can be useful for patient management or therapeutic strategy decision making. In addition, use of iodine-I 23-labeled fatty acid distribution may represent a unique metabolic probe to relate some aspects of the metabolism of these substrates with the regional viability of cardiac tissue. The use of such viability markers could provide important prognostic information on myocardial salvage, helping to identify patients for revascularization or angioplasty. Clinical studies are currently in progress with the iodine-123-labeled 1 5-(p-iodophenyl)-3-R,S-methylpentadecanoic acid (BMIPP) fatty acid analogue at several institutions. The goals of this paper are to discuss development of the concept of metabolic trapping of fatty acids, to briefly review development and evaluation of various radioiodinated methyl-branched fatty acids and to discuss recent patient studies with iodine-123 (BMIPP) using single photon emission computerized tomography (SPECT).
Date:
January 1, 1993
Creator:
Knapp, F. F. Jr.; Ambrose, K. R. (Oak Ridge National Lab., TN (United States)); Kropp, J.; Biersack, H. J. (Bonn Univ. (Germany). Inst. fuer Klinische und Experimentelle Nuklearmedizin); Goodman, M. M. (University of Tennessee Medical Center, Knoxville, TN (United States). Dept. of Radiology); Franken, P. (Free Univ. Hospital, Brussels (Belgium). Nuclear Medicine Dept.) et al.
Object Type:
Article
System:
The UNT Digital Library
Savings from energy efficient windows: Current and future savings from new fenestration technologies in the residential market
Heating and cooling energy lost through windows in the residential sector (estimated at two-thirds of the energy lost through windows in all sectors) currently accounts for 3 percent (or 2.8 quads) of total US energy use, costing over $26 billion annually in energy bills. Installation of energy-efficient windows is acting to reduce the amount of energy lost per unit window area. Installation of more energy efficient windows since 1970 has resulted in an annual savings of approximately 0.6 quads. If all windows utilized existing cost effective energy conserving technologies, then residential window energy losses would amount to less than 0.8 quads, directly saving $18 billion per year in avoided energy costs. The nationwide installation of windows that are now being developed could actually turn this energy loss into a net energy gain. Considering only natural replacement of windows and new construction, appropriate fenestration policies could help realize this potential by reducing annual residential window energy losses to 2.2 quids by the year 2012, despite a growing housing stock.
Date:
April 1, 1993
Creator:
Frost, K.; Arasteh, D. & Eto, J.
Object Type:
Report
System:
The UNT Digital Library
The LAHET code system: Introduction, development, and benchmarking
An introduction to the LAHET code system is presented, showing the function of each code and their interrelation. A summary is made of the principal physics models used in LAHET. Some recent results in benchmarking axe shown for small-angle neutron emission from [sup 7]Li for 800 MeV protons incident, neutron emission from [sup 9]Be at several incident proton energies, and actinide and subactinide fission ratios.
Date:
January 1, 1993
Creator:
Prael, R.E.
Object Type:
Article
System:
The UNT Digital Library
Search for the top quark and other new particles at D0
Preliminary results from the search for the top quark and other new particles in p[bar p] collisions at [radical]s = 1.8 TeV are reported. In a data sample corresponding to an integrated luminosity of about 7.5 pb[sup [minus]1], one candidate event for top quark is found in the di-lepton channel. A lower limit for the mass of the top quark of 103 GeV/c[sup 2] (99 Gev/c[sup 2]) is obtained at 95% confidence level with (without) background subtraction. Status of searches for other new particles that may arise from new phenomena beyond the standard model is summarized.
Date:
September 1, 1993
Creator:
Bhat, P.C.
Object Type:
Article
System:
The UNT Digital Library
Kootenai River White Sturgeon Studies, Annual Report FY 1993.
This report evaluates natural spawning of white sturgeon in the Kootenai River before, during and after the 1993 augmented discharge period. To determine how altering the operation of Libby Dam may improve conditions for natural spawning of white sturgeon in the Kootenai River, discharge from Libby Dam (with no power peaking or load following) was increased to produce 20 kcfs ([plus minus] 2 kcfs) discharge at Bonners Ferry, Idaho, for a 14 day period June 2--16. Objectives of this research were to determine if white sturgeon spawned in the Kootenai River during 1993; and collect baseline biological data including timing, location, and habitat requirements of white sturgeon spawning in the Kootenai River in order to formulate and implement future flow regimes as effective recovery measures for white sturgeon. While sampling is not expected to collect a majority of white sturgeon eggs or larvae produced in a river, the fact that over 41,000 hours of sampling (combined gear) collected only 3 white sturgeon eggs and no larvae suggests that spawning conditions during 1993 were inadequate to benefit this population.
Date:
December 1, 1993
Creator:
Anders, Paul J. & Siple, John T.
Object Type:
Report
System:
The UNT Digital Library
Asymptotic analysis: Working Note No. 2, Approximation of integrals
In this note we discuss the approximation of integrals that depend on a parameter. The basic tool is simple, namely, integration by parts. Of course, the power of the tool is evidenced in applications. The applications are many; they include Laplace integrals, generalized Laplace integrals, Fourier integrals, and Stokes' method of stationary phase for generalized Fourier integrals. These results illustrate beautifully Hardy's concept of applications of mathematics, that is, certain regions of mathematical theory in which the notation and the ideas of the (method of integration by parts] may be used systematically with a great gain in clearness and simplicity''. The notation differs slightly from Working Note No. 1, for reasons that are mainly historical. The asymptotic analysis of integrals originated in complex analysis, where the (real or complex) parameter, usually denoted by x, is usually introduced in such a way that the interesting behavior of the integrals occurs when x [yields] [infinity] in some sector of the complex plane. As there is nothing sacred about notation, and historical precedent is as good a guide as any, we follow convention and denote the parameter by x, focusing on the behavior of integrals as x [yields] [infinity] along the real axis …
Date:
July 1, 1993
Creator:
Garbey, M. (Lyon-1 Univ., 69 - Villeurbanne (France). Lab. d'Analyse Numerique) & Kaper, H.G. (Argonne National Lab., IL (United States))
Object Type:
Report
System:
The UNT Digital Library