| Next-Generation Parametric Reduced-Order Models |
24 Oct 2011 |
57 pages |
| Authors:
Sung-Kwon Hong; Bogdan I Epureanu; Matthew P Castanier; ARMY TANK AUTOMOTIVE RESEARCH DEVELOPMENT AND ENGINEERING CENTER WARREN MI
|
 | Novel parametric reduced-order models are proposed for fast reanalysis to predict the dynamic response of complex structures, which suffered thickness variations caused by design changes or damage in one or more substructures. Parametric reduced-order models developed previously have two important challenges to overcome to improve accuracy and performance: (a) the transformation matrix is not mathematically stable, (b) the Taylor series parameterization techniques do not capture thickness variations of the structure ... |
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| Metamaterials and Transformation Optics |
JUL 2011 |
9 pages |
| Authors:
John Pendry; IMPERIAL COLL OF SCIENCE AND TECHNOLOGY LONDON (UNITED KINGDOM) DEPT OF PHYSICS
|
| Several US collaborations were reinforce during this period with several jointly authored papers appearing, mainly concerning the applications of metamaterials to cloaking. It is evident that there has been considerable exchange of ideas between the US groups and the Imperial College London group. This continues, and further exchange of personnel is planned for 2011. |
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| Space-Time Transformation in Flux-form Semi-Lagrangian Schemes |
FEB 2010 |
11 pages |
| Authors:
Peter C. Chu; Chenwu Fan; NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF OCEANOGRAPHY
|
| With a finite volume approach, a flux-form semi-Lagrangian (TFSL) scheme with space-time transformation was developed to provide stable and accurate algorithm in solving the advection-diffusion equation. Different from the existing flux-form semi-Lagrangian schemes, the temporal integration of the flux from the present to the next time step is transformed into a spatial integration of the flux at the side of a grid cell (space) for the present time step using ... |
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| Classical Velocity Transformations |
SEP 2009 |
3 pages |
| Authors:
Carl E. Mungan; NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS
|
| The Galilean transformation, relating the velocities of a particle observed in two different frames of reference, must be modified if one frame is rotating relative to the other. Introductory courses typically do not mention this fact, inviting subsequent confusion about the kinematics and dynamics of combined translational-rotational motion. |
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| Using Adversary Text to Detect Adversary Phase Changes |
10 AUG 2009 |
29 pages |
| Authors:
Adele B. Doser; Ann E. Speed; Christina E. Warrender; SANDIA NATIONAL LABS ALBUQUERQUE NM
|
| The purpose of this work was to help develop a research roadmap and small proof of concept for addressing key problems and gaps from the perspective of using text analysis methods as a primary tool for detecting when a group is undergoing a phase change. Self-organizing Map (SOM) techniques were used to analyze text data obtained from the world-wide web. Statistical studies indicate that it may be possible to predict ... |
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| High-Order Methods For Wave Propagation |
JAN 2008 |
72 pages |
| Authors:
Miguel R. Visbal; Scott E. Sherer; Michael D. White; AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH AIR VEHICLES DIRECTORATE
|
| In order to meet the demanding accuracy requirements in the simulation of wave propagation phenomena, a numerical approach based on high-resolution spatial schemes is presented. The time-domain AFRL code, FDL3DI, solves either the time-dependent Maxwell's equations (for CEM) or the Euler equations (for acoustics) employing 6th-order accurate compact-differences and low-pass spatial filters of up to 10th-order accuracy. The solver has been made applicable to general curvilinear grids through the incorporation ... |
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| Mine-Impact Burial Model (IMPACT35) Verification and Improvement Using Sediment Bearing Factor Method |
Jan 2007 |
17 pages |
| Authors:
Peter C Chu; Chenwu Fan; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| Recently, a 3-D model (IMPACT35) was developed to predict a falling cylindrical mine's location and orientation in air-water-sediment columns. The model contains the following three components: 1) triple coordinate transform, 2) hydrodynamics of falling rigid object in a single medium (air, water, or sediment) and in multiple media (air-water and water-sediment interfaces), and 3) delta method for sediment resistance with the transient pore pressure. Two mine-impact burial experiments were conducted ... |
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| Uncertainties and Relaxation of Boundary Conditions of Aeroelastic Panels |
08 NOV 2004 |
34 pages |
| Authors:
Raouf A. Ibrahim; WAYNE STATE UNIV DETROIT MI DEPT OF MECHANICAL ENGINEERING SCIENCES
|
| The influence of boundary condition relaxation on two-dimensional panel flutter is studied in the presence of in-plane loading. The boundary value problem of the panel involves time-dependent boundary conditions that are converted into autonomous form using a special coordinate transformation. Galerkin's method is used to discretize the panel partial differential equation into six nonlinear ordinary differential equations representing the first six modes. The influence of boundary condition relaxation on the ... |
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| Linear Feature Detection In SAR Images |
14 MAR 2001 |
19 pages |
| Authors:
Philippe Courmontagne; INSTITUT SUPERIEUR D'ELECTRONIQUE DE LAMEDITERRANEE TOULON (FRANCE) MAISON DES TECHNOLOGIES
|
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| Fusion Experiments of HSI and High Resolution Panchromatic Imagery |
01 JAN 2001 |
|
| Authors:
Su May Hsu; Hsiao hua Burke; MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
|
 | In this paper, the fusion of hyperspectral imaging (HSI) sensor data and high-resolution panchromatic imagery (HPI) is explored. Spatial/spectral sharpening techniques have been proposed to increase the spatial resolution of spectral imagery with HPI. The intent of the process is to reconstruct high spatial resolution imagery with high spectral fidelity. Target detection and identification of such imagery can be achieved with spectral and spatial processing techniques. Three sharpening approaches are ... |
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| Report of the Working Group 'Relativity for Celestial Mechanics and Astrometry' |
MAR 2000 |
11 pages |
| Authors:
M. Soffel; TECHNISCHE HOCHSCHULE DRESDEN (GERMANY)
|
| This is a brief report on the work done by the International Astronomical Union (IAU) working group "Relativity for Celestial Mechanics and Astrometry." The first central task of the working group was to recommend some specific form of the metric tensor that is related to the distance of two neighboring points in space-time with coordinates. The metric tensor allows one to derive translational and rotational equations of motion of bodies, ... |
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| Symmetric Convolution. Using Unitary Transform Matrices: A New Approach to Image Reconstruction |
APR 1999 |
78 pages |
| Authors:
Thomas M. Foltz; AIR COMMAND AND STAFF COLL MAXWELL AFB AL
|
| The Air Force images space-borne objects from the ground with optical systems that suffer from the effects of atmospheric turbulence. Many image processing techniques exist to alleviate these effects, but they are computationally complex and require large amounts of processing time. A faster image processing system would greatly improve images of objects observed through the turbulent atmosphere and help national strategists glean higher quality intelligence on other nations space platforms. ... |
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| Development of a Technique to Determine the Morphology and Dynamics of Agglomerates in Chemically Reacting Flows |
13 JAN 97 |
139 pages |
| Authors:
Tryfon Charalampopoulos; LOUISIANA STATE UNIV BATON ROUGE DEPT OF MECHANICAL ENGINEERING
|
| An exact formulation was developed for the prediction of the internal electric field of an assembly of Rayleigh particles exposed to an incident radiation field which: (1) satisfies the energy conservation; (2) accounts for self contribution and multiple scattering effects; (3) is invariant to coordinate transformation and (4) is particularly useful for soot diagnostics. Based on this formulation a computer code (AGGL) was written for the computation of extinction, total ... |
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| Approximation of Electromagnetic Profiles |
MAY 96 |
57 pages |
| Authors:
Falid H. Ahmad; ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS INFORMATION TECHNOLOG Y LAB
|
| A numerical scheme for profile inversion is proposed in this report. The numerical scheme utilizes interpolating polynomials as a tool for near real time inversion. In addition, linear transformations are used in the scheme. In general, the scheme uses the impulse response or the complex reflection coefficient from a tested medium as an input. It converts inverse problems formulated in the form of integral, partial differential, or differential equations to ... |
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| Fractal Modeling and Segmentation for the Enhancement of Microcalcifications in Digital Mammograms |
1996 |
36 pages |
| Authors:
Huai Li; K. J. Liu; Shih-Chung B. Lo; MARYLAND UNIV COLLEGE PARK INST FOR SYSTEMS RESEARCH
|
| The objective of this research is to model the mammographic parenchymal, ductal patterns and enhance the microcalcifications using a deterministic fractal approach. According to the theory of deterministic fractal geometry, images can be modeled by deterministic fractal objects that are attractors of sets of two-dimensional affine transformations. The Iterated Function System and the Collage Theorem are the mathematical foundations of fractal image modeling. In this paper, a methodology based on ... |
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| Randomized Quantile Residuals |
28 SEP 95 |
15 pages |
| Authors:
Peter K. Dunn; Gordon K. Smyth; NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF OPERATIONS RESEARCH
|
| In this paper we give a general definition of residuals for regression models with independent responses. Our definition produces residuals which are exactly normal, apart from sampling variability in the estimated parameters, by inverting the fitted distribution function for each response value and finding the equivalent standard normal quantile. Our definition includes some randomization to achieve continuous residuals when the response variable is discrete. Quantile residuals are easily computed in ... |
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| Design of a Hover Mode Autopilot for the Phoenix Autonomous Underwater Vehicle |
JUN 95 |
120 pages |
| Authors:
Juan C. Gonzalez Jr; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| The potential uses for autonomous underwater vehicles (AUV's) is gaining recognition by organizations world wide. As such, continuous research toward improving existing vehicles by seeking new designs and increasing efficiency is being funded by organizations that serve to benefit from the new technology. Some examples for which AUV's may be used include mine countermeasures, submerged structural repair or destruction, search and rescue, biological study, ocean floor and coastal survey. The ... |
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| Coastal Aerosol Workshop Proceedings Held in Monterey, California on 23- 24 May 1994 |
JUN 95 |
142 pages |
| Authors:
Andreas K. Goroch; Gary Geernaert; NAVAL RESEARCH LAB MONTEREY CA
|
| The Coastal Aerosol Workshop (23-24 May 94, Monterey CA) was held to assess the state of the art of aerosol research, identify deficiencies in current knowledge of coastal aerosols, and define fruitful areas for a Navy research program. Workshop results will form the basis for a coastal aerosol research program conducted jointly by the Naval Research Laboratory and Office of Naval Research. Workshop sessions considered three component topics: aerosol surface ... |
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| Bootstrap and Partitioning Methods |
15 NOV 94 |
6 pages |
| Authors:
Wei-Yin Loh; WISCONSIN UNIV-MADISON
|
| The following problems are studied and their solutions found. Bootstrap methods for confidence interval estimation of a binomial parameter and for model selection in linear regression. Tree-structured algorithms for classification, piecewise-linear regression and generalized linear models, and proportional hazards regression for censored observations. Asymptotic efficiency of tests following data transformations. Identification of significant effects from unreplicated two-level factorial designed experiments. Bounds on the asymptotic size of the likelihood ratio test ... |
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| Wavelets, Signal Processing and Matrix Computations |
SEP 94 |
16 pages |
| Authors:
Bruce W. Suter; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
|
|
| An Introduction to Wavelet Transforms |
AUG 94 |
121 pages |
| Authors:
P. P. Vaidyanathan; Igor Djokovic; CALIFORNIA INST OF TECH PASADENA
|
|
| A Critical Evaluation of Methods for Imposing Solid-Wall Boundary Conditions in Inviscid Flow |
MAR 94 |
37 pages |
| Authors:
S. L. Keeling; ARNOLD ENGINEERING DEVELOPMENT CENTER ARNOLD AFS TN
|
| This report presents a critical evaluation of widely used methods for imposing discrete solid-wall boundary conditions for the numerical computation of inviscid flows. Specifically, it shows that some of these methods are only provisionally correct. Also, an explanation is given for the success of others. In particular, the report shows that a method involving contravariant velocity components can generate distortions in computed flows. Because complex CFD calculations can be difficult ... |
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| Penetrable Wedge Analysis |
03 FEB 94 |
11 pages |
| Authors:
Robert W. Scarstein; ALABAMA UNIV UNIVERSITY
|
| The required inner products in the Galerkin solution of the integral equation, using a basis of exponential-weighted Laguerre polynomials, are expressed as series of algebraic forms. We are presently evaluating these series to get a feel for the invertibility of the integral equation (transformed to a system of linear equations), prior to any inclusion of the anticipated asymptotic behavior from the Sommerfeld half-space problem. If this unmodified system of the ... |
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| Modeling and Control of Nonlinear Systems |
10 JAN 94 |
5 pages |
| Authors:
John E. Hauser; UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF ELECTRICAL ENGINEERING
|
| We have conducted research on the modeling and control of nonlinear systems. Our efforts have been directed toward understanding the control of truly nonlinear behavior as well as the synthesis of control laws for systems that can be nearly transformed into linear systems (via approximate feedback linearization). We have introduced a new framework for understanding and analyzing the stability and control of nonlinear maneuvering systems. This approach is based on ... |
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| Polar Processing Project |
SEP 93 |
|
| Authors:
C. N. Tom; W. J. Davies; J. F. Goycochea; NAVAL COMMAND CONTROL AND OCEAN SURVEILLANCE CENTER RDT AND E DIV SAN DIEGO CA
|
| The purpose of this project was to explore the use of polar processing techniques in SIGINT-related signal processing applications. This report covers an investigation of ways to apply the CORDIC arithmetic algorithm to signal processing problems, and an application of the TMC2330 Coordinate Transformer chip in a coprocessor or accelerator board for a Sun workstation. Polar coordinate representation |
|
| Frequency Domain Speech Compression Using the Karhunen-Loeve Transform |
MAR 1993 |
170 pages |
| Authors:
Donald W. Dryley; AIR FORCE INST OF TECH WRIGHT-PATTERSONAFB OH SCHOOL OF ENGINEERING
|
| The purpose of this study was test the influence of phase on the quality of speech reproduced by a speaker dependent compression system. The tests consisted of compressing frequency domain speech vectors using the Karhunen-Loeve Transform, with and without phase, then making subjective judgements as to the reproduced quality. Error Metrics were then tested for their suitability as predictors of reproduced quality. The compression software transformed each speech vector into ... |
|
| A Dynamic Analysis of Piezoelectric Strained Elements |
DEC 92 |
283 pages |
| Authors:
M. C. Dokmeci; TECHNICAL UNIV OF ISTANBUL (TURKEY) FACULTY OF AERONAUTICS AND ASTRONAUTICS
|
| This report is addressed to the dynamic analysis of piezoelectric structural elements under a static mechanical bias. In the first part of the report, the current literature pertaining to the dynamic applications of piezoelectric crystals is reviewed; attention is especially confined to vibrations of structural elements. In the second part, the fundamental equations of piezoelectric media are expressed in variational form as the Euler-Lagrange equations of certain integral and differential ... |
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| Transformations of Gaussian Random Fields and a Test for Independence of a Survival time from a Covariate |
NOV 92 |
|
| Authors:
Ian W. McKeague; A. M. Nikabadze; Yanqing Sun; FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
|
| It has been almost sixty years since Kolmogorov introduced a. distribution-free omnibus test for the simple null hypothesis that a distribution function coincides with a given distribution function. Doob subsequently observed that Kolmogorov's approach could be simplified by transforming the empirical process to an empirical process based on uniform random variables. Recent use of more sophisticated transformations has led to the construction of asymptotically distribution-free omnibus tests when unknown parameters ... |
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| Phase-Coupled LDV- and Piezo-Array Measurements in Unsteady Flows, |
23 JUL 1992 |
|
| Authors:
R. Brauckhoff; W. Nitsche; M. Dues; H. E. Siekmann; TECHNISCHE UNIV BERLIN (GERMANY F R)
|
| Unsteady Cascade Flows project includes experimental investigations of unsteady flow phenomena in an inlet guide vane of a preswirl-controlled axial propeller-pump by means of phase-coupled measurements of a Laser-Doppler-Velocimeter and piezoelectric surface-pressure sensors. To investigate the basic flow conditions and flow states on the vane in dependence of flap deflections, the complex 3D-flow in the hydraulic propeller pump was reduced to a 2D-flow on a single vane-model. The rotor-stator interactions ... |
|
| Soft Objects: A Paradigm for Object Oriented Programming |
MAR 90 |
31 pages |
| Authors:
Ken Haase; MASSACHUSETTS INST OF TECH CAMBRIDGE ARTIFICIAL INTELLIGENCE LAB
|
| This paper introduces soft objects, a new paradigm for object oriented programming. This paradigm replaces the traditional notion of object classes with the specification of transforming procedures which transform simpler objects into more complicated objects. These transforming procedures incrementally construct new objects by addition new state or providing handlers for new messages. Unlike other incremental approaches (e.g. the inherited exist handlers of Object Logo (Drescher, 1987)), transforming procedures are strict ... |
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| Bounding Separable Recourse Functions with Limited Distribution Information |
JAN 90 |
25 pages |
| Authors:
John R. Birge; Jose H. Dula; MICHIGAN UNIV ANN ARBOR DEPT OF INDUSTRIAL AND OPERATIONS ENGINEERING
|
| The recourse function in a stochastic program with recourse can be approximated by separable functions of the original random variables or linear transformations of them. The resulting bound them involves summing simple integrals. These integrals may themselves be difficult to compute or may require more information about the random variable than is available. In this paper, we show that a special class of function has an easily computable bound that ... |
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| Test and Evaluation of Surf Forecasting Model |
SEP 89 |
50 pages |
| Authors:
Nasuh Cacina; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| A model forecasting wave height and longshore current distribution inside the surf zone is applied to an extensive set of laboratory and field data for testing and modification. The models are tested on planar beaches as well as barred beaches for a variety of wave conditions. The wave transformation model is based on solving the energy flux equation using a bore dissipation mechanism and describing the random wave heights with ... |
|
| The Fast Gauss Transform |
JUL 89 |
20 pages |
| Authors:
L. Greengard; J. Strain; YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
|
| Many problems in applied mathematics require the evaluation of the sum of N Gaussians at M points in space. The work required for direct evaluation grows like N M as N and M increase; this makes it very expensive to carry out such calculations on a large scale. In this paper, we present an algorithm which evaluates the sum of N Gaussians at M arbitrarily distributed points in C (dot) ... |
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| Linear Transformations, Projection Operators and Generalized Inverses; A Geometric Approach |
MAR 88 |
22 pages |
| Authors:
C. R. Rao; PITTSBURGH UNIV PA CENTER FOR MULTIVARIATE ANALYSIS
|
| A generalized inverse of a linear transformation A: v yield w, where v and w are finite dimensional vector spaces, is defined using geometric concepts of linear transformations and projection operators. The inverse is uniquely defined in terms of specified subspaces m is a subset of v, 1 is a subset of w and a linear transformation N such that AN = O, NA = O. Such an inverse which ... |
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| Transactions of The Army Conference on Applied Mathematics and Computing (5th) Held in West Point, New York on 15-18 June 1987 |
MAR 88 |
|
| Authors:
ARMY RESEARCH OFFICE RESEARCH TRIANGLE PARK NC
|
| Partial Contents: Lie Transforms Applied To a Nonlinear Parametric Excitation Problem; Statistical Machine Learning for the Cognitive Selection of Nonlinear Programming Algorithms in Engineering Design Optimization; Condition of the Finite Element Stiffness Matrix of Highly Irregular Triangular Grids; A Simple Analysis of Swage Autofrettage Process; On A Refined Nonlinear Theory of Laminated Composite Plates; Algorithms for Rational Spline Curves; Convexity- Preserving Quasi-interpolation and Interpolation by Box Spline Surfaces. |
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| DATATRAN: Datum Transformation Software |
14 JAN 88 |
|
| Authors:
Anthony R. Niles; ARMY ENGINEER TOPOGRAPHIC LABS FORT BELVOIR VA
|
| The North American Datum of 1927 (NAD27) has become unsuitable for present-day surveys. Satellite surveys and accuracy requirements of conventional surveys have dictated the need for a more accurate earth-centered datum. Thus, the North American Datum of 1983 (NAD83) is replacing the NAD27. In anticipation of this transition, The National Geodetic Survey developed a computer program to convert survey data from NAD27 to NAD83, or vice-versa. This program, called LEFTI, ... |
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| Baecklund Transformation and the Schwarzian Derivative |
01 NOV 87 |
|
| Authors:
John E. Weiss; CALIFORNIA UNIV SAN DIEGO LA JOLLA INST FOR PURE AND APPLIED PHYSICAL SCIENCE S
|
| We complete the discussion of the periodic fixed points of Backlund transformations for the Korteweg-de Vries equation. It will be shown that the systems of equations defined by the KdV periodic fixed points are equivalent to the periodic Kac-Van Moerbeke systems. As a consequence, for even order fixed points, the KdV systems are equivalent to the periodic Toda lattice. The periodic fixed points of the Backlund transformation for the Boussinesq ... |
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| Standard UTM-to-GEO/GEO-to-UTM Coordinate Conversion Algorithms |
18 SEP 87 |
|
| Authors:
David Bernath; JET PROPULSION LAB PASADENA CA
|
| The purpose of this document is to present an analysis of the standard algorithms used to convert the location of a point on the earth's surface from geographic coordinates (latitude/longitude) to Universal Transverse Mercator Grid form (easting/northing), and back again. This reports treats only the problem of transforming UTM to Lat-Long and vice versa. The companion problem - which spheroids to use in different parts of the world - is ... |
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| Kinetic Depth Effect and Optic Flow 1. 3D Shape from Fourier Motion |
87 |
72 pages |
| Authors:
George Sperling; Barbara A. Dosher; Michael S. Landy; NEW YORK UNIV N Y DEPT OF PSYCHOLOGY
|
| Fifty-three different shapes were defined by sequences of 2 D views (frames) of dots on a rotating 3D surface. (1) Subjects' accuracy of shape identifications dropped from over 90% to less than 10% when either the polarity of the stimulus dots was alternated from light-on-gray on successive frames or when neutral gray interframe intervals were interposed. Both manipulations interfere with motion extraction by spatio-temporal (Fourier) and gradient first-order detectors. Second-order ... |
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| Free-Form Deformation as a General Purpose Interactive Modeling Tool |
DEC 86 |
|
| Authors:
Rodney O. Davis; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH
|
| The geometric modeling technique known as Free-form Deformation (FFD) was conceived by Sederberg and set forth in a Ph.D. dissertation by Parry. Parry's dissertation deals with the feasibility of using FFD to accomplish free- form sculpting in a non-interactive constructive solid geometry modeling system and does not address any high-level operations. FFD can be used as a general purpose technique for manipulating geometric models in a standard interactive 3- D ... |
|
| Heredity of Stationary and Reversible Stochastic Processes |
25 MAR 86 |
|
| Authors:
Richard F. Serfozo; GEORGIA INST OF TECH ATLANTA
|
| When a stochastic process (a random measure, set, field, etc. on a group) is stationary, ergodic, or reversible, then certain functions of this process inherit these properties. This document presents sufficient conditions for this inheritance. (Author) |
|
| Symposium on Continuum Models and Discrete Systems (6th) Held in Dijon, France on June 26 - 29, 1989 |
86 |
88 pages |
| Authors:
PARIS-6 UNIV (FRANCE)
|
| Based on Eringen's micromorphic theory of continua, new local balance laws, constitutive relations, field equations and an equation of state for bubbly liquids with single velocity and temperature fields have been recently developed. This paper considers the system of field equations which admits, in a linear approximation, a plane wave solution with high-frequency oscillation. For a wave of small but finite amplitude, we investigate how slowly varying parts of the ... |
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| Hodograph Transformations on Linearizable Partial Differential Equations |
86 |
|
| Authors:
P. A. Clarkson; A. S. Fokas; M. J. Ablowitz; CLARKSON UNIV POTSDAM NY DEPT OF MATHEMATICS AND COMPUTER SCIENCE
|
| This paper develops an algorithmic method for transforming quasilinear partial differential equations of a certain form into semilinear equations. This crucially involves the use of hodograph transformations (i.e., transformations which involve the interchange of dependent and independent variables). Furthermore, we find the most general quasilinear equation of the above form which can be mapped via a hodograph transformation to a semilinear form. This algorithm provides a method for establishing whether ... |
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| A Proof of Brace's Theorem by Induction |
OCT 85 |
|
| Authors:
A. W. Goodman; I. J. Schoenberg; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
|
| Grace's theorem states: Let the polynomials be apolar. If the circular region C contains all the zeros of A(z), then C must contain at least one of the zeros of B(z). By a circular region is meant either the closed interior of a circle, or the closed exterior of a circle, or a closed half- plane. This document gives a proof of Grace's theorem by mathematical induction on the degree ... |
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| The Indexing Properties of an Ancillary Statistic |
28 AUG 85 |
|
| Authors:
A. Y. C. Kuk; STANFORD UNIV CA DEPT OF PHYSICS
|
| The role of an ancillary statistic as an information and as a precision index is discussed. For transformation models, it can be shown that, in some sense, two samples with the same ancillary statistic value contain the same amount of information. For both transformation and exponential models, the variance of the conditional Fisher information is proportional to the square of the statistical curvature. It appears that the constancy of statistical ... |
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| Control Coordination of Large Scale Hereditary Systems |
01 JUL 85 |
|
| Authors:
Robert Fennell; J. A. Reneke; CLEMSON UNIV SC DEPT OF MATHEMATICAL SCIENCES
|
| A decentralized control strategy, which allows some level of autonomous component control for large scale hereditary systems, has been developed. The basic problem considered is how to add constraints ot the component objectives and to arrange exchanges of information which enable all components to achieve their objectives. The approach requires that component interactions be suitably limited so that variational methods can be used to determine component controls independently. A reproducing ... |
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| A Behavioral Summary for Completely Random Nets |
20 JUN 85 |
|
| Authors:
A. E. Gelfand; STANFORD UNIV CA DEPT OF STATISTICS
|
| This paper characterizes the cycle structure of a completely random net. Variables such as number of cycles of a specified length, number of cycles, number of cyclic states and length of cycle are studied. A square array of indicator variables enables convenient study of moment structure. Additionally, exact and asymptotic distributional results are presented. Additional keywords: Switching net models; Boolean transformations. (Author) |
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| Tests of Fit Based on Normalized Spacings |
27 DEC 84 |
|
| Authors:
R. A. Lockhart; F. J. O'Reilly; M. A. Stephens; STANFORD UNIV CA DEPT OF STATISTICS
|
| Normalized spacings provide useful tests of fit for many suitably regular continuous distributions; attractive features of the tests are that they can be used with unknown parameters and also with samples which are censored (Type 2) on the left and/or right. A transformation of the spacings leads, under the null hypothesis, to a set of z-values in 0,1; these are not however, uniformly distributed except for spacings from the exponential ... |
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| Application of Floquet Theory to Helicopter Blade Flapping Stability |
DEC 84 |
|
| Authors:
J. K. March; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
|
| The purpose of this thesis was to explore the flapping stability of a helicopter rotor blade in forward flight. The equations of motion for the flapping motion for the flapping motion of the blade were converted from nonlinear differential equations with periodic coefficients to linear periodic differential equations through the assumption of a rigid blade where the elastic flapping deflections are negligible as compared to the rigid body flapping rotations ... |
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| Interactive Data Analysis. Development of an Interactive Data Manipulation System |
JUN 84 |
|
| Authors:
N. G. Totos; NAVAL POSTGRADUATE SCHOOL MONTEREY CA
|
| Large amounts of data collected during experiments or produced as outputs of programs that simulate systems, usually need further treatment in order to complete the research task. One step of the data analysis process is the manipulation of the data. The data, even when stored in a computer, can be considered as inert if it cannot be manipulated. Manipulation may be considered any appropriate arrangement or transformation of a logical ... |
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Reports by Keyword(s)
TRANSFORMATIONS(MATHEMATICS)
