240
240

May 27, 2011
05/11

by
Bergstrom, R. W.; Kinne, S.; Sokolik, I. N.; Toon, O. B.; Mlawer, E. J.; Clough, S. A.; Ackerman, T. P.; Mather, J

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A new radiative transfer model combining the efforts of three groups of researchers is discussed. The model accurately computes radiative transfer in a inhomogeneous absorbing, scattering and emitting atmospheres. As an illustration of the model, results are shown for the effects of dust on the thermal radiation.

Topics: ORBIT CALCULATION, STANDARD DEVIATION, POSITION ERRORS, COVARIANCE, DOWNRANGE, CIRCULAR ORBITS,...

172
172

May 23, 2011
05/11

by
Cohen, Ross D.; Beaver, E. A.; Diplas, Athanassios; Junkkarinen, Vesa T.; Barlow, Thomas A.; Lyons, Ronald W

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We present imaging and spectroscopy of the quasar 3CR 196 (z(sub e) = 0.871), which has 21 cm and optical absorption at z(sub a) = 0.437. We observed the region of Ly alpha absorption in 3CR 196 at z(sub a) = 0.437 with the Faint Object Spectrograph on the Hubble Space Telescope. This region of the spectrum is complicated because of the presence of a Lyman limit and strong lines from a z(sub a) approx. z(sub e) system. We conclude that there is Ly alpha absorption with an H I column density...

Topics: ALGORITHMS, SPECTRA, WAVE FRONTS, COMBINATORIAL ANALYSIS, ASYMPTOTIC PROPERTIES, MEAN SQUARE...

223
223

Jul 26, 2010
07/10

by
Noever, David A.; Matsos, Helen C

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An 'in vitro' method for monitoring cadmium, one of the most lethal bivalent heavy metals, can detect biologically active levels. The effects of cadmium tend to concentrate in protozoa far above natural levels and therein begin transferring through freshwater food chains to animals and humans. In a small sample volume (approximately 5 ml) the method uses the toxic response to the protozoa, Tetrahymena pyriformis, to cadmium. The assay relies on macroscopic bioconvective patterns to measure the...

Topics: ACOUSTICS, SOUND WAVES, WIND EFFECTS, ALGORITHMS, ANGLES (GEOMETRY), CORRELATION, ERRORS, MATRICES...

270
270

Jul 21, 2010
07/10

by
Beek, J. M

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Three theories for prediction of inelastic deformation which are based on considerations of the microstructural behavior of materials are reviewed. The mechanics of continua with internal state variables and the historical development of constitutive modeling are summarized. A detailed discussion, including chronological development, review of theory, and method of determination of material parameters, of each model follows. An experimental data base is established from which the material...

Topics: ANTIFRICTION BEARINGS, ROTATING SHAFTS, TRANSFER FUNCTIONS, VIBRATION DAMPING, ROTARY STABILITY,...

262
262

Jun 9, 2011
06/11

by
Banger, Kulbinder K.; Jin, Michael H. C.; Harris, Jerry D.; Fanwick, Philip E.; Hepp, Aloysius F

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We report a new simplified synthetic procedure for commercial manufacture of ternary single source precursors (SSP). This new synthetic process has been successfully implemented to fabricate known SSPs on bulk scale and the first liquid SSPs to the semiconductors CuInSe2 and AgIn(x)S(y). Single crystal X-ray determination reveals the first unsolvated ternary AgInS SSP. SSPs prepared via this new route have successfully been used in a spray assisted chemical vapor deposition (CVD) process to...

Topics: GALERKIN METHOD, MATRICES (MATHEMATICS), QUADRATURES, VECTORS (MATHEMATICS), SYMMETRY, POLYNOMIALS,...

218
218

May 22, 2011
05/11

by
Kim, S.-W

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A finite volume method to solve the Navier-Stokes equations at all flow velocities (e.g., incompressible, subsonic, transonic, supersonic and hypersonic flows) is presented. The numerical method is based on a finite volume method that incorporates a pressure-staggered mesh and an incremental pressure equation for the conservation of mass. Comparison of three generally accepted time-advancing schemes, i.e., Simplified Marker-and-Cell (SMAC), Pressure-Implicit-Splitting of Operators (PISO), and...

Topics: COMMUTATION, FINITE ELEMENT METHOD, HAMILTONIAN FUNCTIONS, HARMONIC OSCILLATORS, MATRICES...

310
310

Jul 11, 2010
07/10

by
Park, S. K

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A direct method for constrained-function minimization is discussed. The method involves the construction of an appropriate function mapping all of one finite dimensional space onto the region defined by the constraints. Functions which produce such a transformation are constructed for a variety of constraint regions including, for example, those arising from linear and quadratic inequalities and equalities. In addition, the computational performance of this method is studied in the situation...

Topics: APOLLO PROJECT, ERROR ANALYSIS, LEAST SQUARES METHOD, LUNAR MODULE, MARINER 2 SPACE PROBE, MATRICES...

294
294

May 23, 2011
05/11

by
Tartabini, P. V.; Striepe, S. A.; Powell, R. W

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Mars trajectory design options were examined that would accommodate a premature termination of a nominal manned opposition class mission for opportunities between 2010 and 2025. A successful abort must provide a safe return to Earth in the shortest possible time consistent with mission constraints. In this study, aborts that provided a minimum increase in the initial vehicle mass in low Earth orbit (IMLEO) were identified by locating direct transfer nominal missions and nominal missions...

Topics: SPLINE FUNCTIONS, ACTUATORS, DONNELL EQUATIONS, RESONANT FREQUENCIES, DYNAMIC RESPONSE,...

165
165

Sep 20, 2010
09/10

by
Fraietta, Michael F.; Bond, Victor R

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Precursors for Solar System Exploration Initiative (SEI) missions may require long period elliptical orbits about a planet. These orbits will typically have periods on the order of tens to hundreds of days. Some potential uses for these orbits may include the following: studying the effects of galactic cosmic radiation, parking orbits for engineering and operational test of systems, and ferrying orbits between libration points and low altitude orbits. This report presents an approach that can...

Topics: BCH CODES, BINARY CODES, DECODING, ERROR CORRECTING CODES, PERMUTATIONS, MATRICES (MATHEMATICS),...

141
141

Jun 17, 2010
06/10

by
Mc Lean, J. D

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No Abstract Available

Topics: APPROXIMATION, COEFFICIENTS, ERRORS, LUNAR TRAJECTORIES, MATRICES (MATHEMATICS)

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159

Jun 19, 2010
06/10

by
Moore, J. W

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Approximation and matrix iteration techniques for solving automatic control equations

Topics: APPROXIMATION, AUTOMATIC CONTROL, EIGENVALUES, ITERATION, ITERATIVE SOLUTION, MATRICES...

383
383

Jul 23, 2010
07/10

by
Hashimoto, R.; Nagamatsu, A.; Michimura, S

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The vibration of the rotating disk is analyzed using the finite element method with consideration given to the effect of centrifugal force. A fan-shaped element is proposed for the first time for the analysis of both in-plane and bending deformations of the shell structure. The calculated results of the natural modes and frequencies of a model disk are compared with the experimental results with good quantitative agreement. .

Topics: AERODYNAMIC FORCES, ALGORITHMS, MATHEMATICAL MODELS, REGRESSION ANALYSIS, STABILITY DERIVATIVES,...

264
264

Jul 11, 2010
07/10

by
Kimbrough, M

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The selection of relative velocity as the independent variable for the space shuttle first stage guidance attitude command tables was assessed to support the first stage guidance point design. The criterion for selecting the independent variable for first stage open loop guidance is to reduce or minimize performance dispersions, primarily those affecting structural loads. The products of angle of attack and angle of sideslip times dynamic pressure are used as load indicators, and minimizing...

Topics: COMPUTER PROGRAMS, FINITE ELEMENT METHOD, HEAT TRANSFER, NASTRAN, USER MANUALS (COMPUTER PROGRAMS),...

245
245

Jul 12, 2010
07/10

by
Hoffman, D. B

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No Abstract Available

Topics: ELASTIC DAMPING, SPACECREWS, TRANSFER FUNCTIONS, MANNED ORBITAL TELESCOPES, MANNED SPACECRAFT,...

269
269

Jul 11, 2010
07/10

by
Seldon, R. L

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No Abstract Available

Topics: INERTIAL PLATFORMS, MATRICES (MATHEMATICS), TRANSFORMATIONS (MATHEMATICS), AIRBORNE/SPACEBORNE...

100
100

May 31, 2011
05/11

by
NON

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West Coast Netting, Inc.'s net of Hyperester twine, is made of three strands of fiber twisted together by a company-invented sophisticated twisting machine and process that maintain precisely the same tension on each strand. The resulting twine offers higher strength and improved abrasion resistance. The technology that created the Hyperester supertwine has found spinoff applications, first as an extra-efficient seine for tuna fishing, then as a capture net for law enforcement agencies. The...

Topics: STUDENTS, COORDINATES, MAGNETIC PERMEABILITY, TENSOR ANALYSIS, PHYSICS, ANALYSIS (MATHEMATICS),...

185
185

May 23, 2011
05/11

by
Krejsa, Eugene A.; Saiyed, Naseem H

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The jet mixing noise from two fan/core mixer nozzles is studied. Acoustic data from two fan/core mixer nozzles are analyzed to determine the properties of the noise signatures. It was assumed that there were three major contributors to the total noise signature: noise from mixing of the fan and core streams internal to the nozzle; noise from residual mixing of the fan and core streams external to the nozzle; and the noise associated with the fully mixed jet. In general, the low frequency...

Topics: WAVE PROPAGATION, COVARIANCE, MATRICES (MATHEMATICS), SNOW, VEGETATION, SEA ICE, FLUCTUATION...

164
164

May 31, 2011
05/11

by
Oza, Nikunj; Tumer, Irem Y.; Tumer, Kagan; Huff, Edward M

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Automated fault detection is an increasingly important problem in aircraft maintenance and operation. Standard methods of fault detection assume the availability of either data produced during all possible faulty operation modes or a clearly-defined means to determine whether the data provide a reasonable match to known examples of proper operation. In the domain of fault detection in aircraft, the first assumption is unreasonable and the second is difficult to determine. We envision a system...

Topics: ATTITUDE (INCLINATION), INDEXES (DOCUMENTATION), MATRICES (MATHEMATICS), MISSION PLANNING, VECTORS...

345
345

May 23, 2011
05/11

by
Babcock, Dale A.; Bruce, Robert A

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The advantages of high-molecular-weight gas (heavy gas) as a wind-tunnel medium have been recognized for some time. The current heavy gas of choice chlorofluorocarbon-12(CFC-12) (refrigerant R12) for the Transonic Dynamics Tunnel(TDT) must be replaced because manufacture of this gas ceased in 1995. An attractive replacement is 1,1,1,2-tetrafluoroethane (refrigerant R134a). Acceptable properties of this gas include molecular weight and speed of sound. Its vapor pressure allows simplified...

Topics: ALGORITHMS, ROBOT ARMS, DEGREES OF FREEDOM, WEIGHTING FUNCTIONS, MATRICES (MATHEMATICS), LEAST...

451
451

Jul 10, 2010
07/10

by
Robinson, F

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A test program was conducted to isolate and evaluate the individual noise sources of a light helicopter. To accomplish this, the helicopter was mounted on a special test rig, at a 6-foot skid height, in a simulated hover. The test rig contained by dynamometer for absorbing engine power and an exhaust silencing system for reducing engine noise. This test set-up allowed the various components of the helicopter to be run and listened to individually or in any combination. The sound pressure level...

Topics: LIGHT SCATTERING, POLARIZATION (WAVES), SEA WATER, MATRICES (MATHEMATICS), SCATTERING COEFFICIENTS

192
192

Jul 6, 2010
07/10

by
GAVIGLIO, J

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TWO METHODS ARE MENTIONED WHICH ARE USED TO DETERMINE THE SENSITIVITY OF HOT-WIRE ANEMOTHERMOMETERS USED TO ANALYZE THE TURBULENCE OF SUPERSONIC FLOWS. ONE METHOD IS IMPRECISE WITH THE LOWER REYNOLDS NUMBERS, BUT THE APPLICATION IS RELATIVELY EASY; THE OTHER IS PRECISE, HOWEVER, DIFFICULT TO IMPLEMENT. NEW RESULTS FROM EXPERIMENTS ALLOW THE RESPECTIVE ADVANTAGES OF THESE TWO METHODS TO BE COMBINED.

Topics: CODING, DISCRETE FUNCTIONS, COMBINATIONS (MATHEMATICS), CONVERGENCE, MATRICES (MATHEMATICS)

374
374

Jul 25, 2010
07/10

by
NON

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A common recommendation is established for the implementation of a spacecraft telecommand data routing service by the agencies participating in the CCSDS. The operating principles and procedures for the CCSDS are defined in a reference. The context of the data routing service within the overall telecommand system is described in another reference. This recommendation addresses the procedures and data unit formats implemented within the segmentation layer and the transfer layer of the...

Topics: ALGORITHMS, COMPUTER NETWORKS, REFINING, BANDWIDTH, GRID GENERATION (MATHEMATICS), MATRICES...

266
266

May 28, 2011
05/11

by
Lamp, Alison M.; Chokani, Ndaon

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An experimental study to investigate the effect of steady and oscillatory (with zero net mass flux) blowing on cavity resonance is undertaken. The objective is to study the basic mechanisms of the control of cavity resonance. An actuator is designed and calibrated to generate either steady blowing or oscillatory blowing with A zero net mass flux. The results of the experiment show that both steady and oscillatory blowing are effective, and reduce the amplitude of the dominant resonant mode by...

Topics: ALGORITHMS, SATELLITE ORIENTATION, THREE AXIS STABILIZATION, SATELLITE ATTITUDE CONTROL,...

168
168

May 31, 2011
05/11

by
NON

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Boeing Commercial Airplane Company's Flight Control Department engineers relied on Langley developed software package known as ORACLS to develop an advanced control synthesis package for both continuous and discrete control system. Package was used by Boeing for computerized analysis of new system designs. Resulting applications include a multiple input/output control system for the terrain-following navigation equipment of the Air Forces B-1 Bomber, and another for controlling in flight...

Topics: PARALLEL PROCESSING (COMPUTERS), MULTIPROCESSING (COMPUTERS), ALGORITHMS, COMPUTATIONAL GRIDS,...

641
641

Jun 21, 2010
06/10

by
NON

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Development of radiation sensor subsystems for advanced manned space missions

Topics: MATRICES (MATHEMATICS), MULTIPOLES, S MATRIX THEORY, MICROWAVE CIRCUITS

218
218

Sep 20, 2010
09/10

by
Berenji, Hamid R.; Chen, Yung-Yaw; Lee, Chuen-Chein; Murugesan, S

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An approach for controlling a dynamic physical system by using approximate reasoning is presented. The approach was implemented in a program named POLE, and we have successfully built a prototype hardware system to solve the cart-pole balancing problem in real-time. This provides a complementary alternative to the conventional analytical control methodology and is of substantial use where a precise mathematical model of the process being controlled is not available. Also, we furnish a set of...

Topics: MACLAURIN SERIES, PADE APPROXIMATION, MATHEMATICAL MODELS, MATRICES (MATHEMATICS), MEROMORPHIC...

240
240

May 22, 2011
05/11

by
Schneider, Stanley A.; Chen, Vincent W.; Pardo-Castellote, Gerard

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The ControlShell system is a programming environment that enables the development and implementation of complex real-time software. It includes many building tools for complex systems, such as a graphical finite state machine (FSM) tool to provide strategic control. ControlShell has a component-based design, providing interface definitions and mechanisms for building real-time code modules along with providing basic data management. Some of the system-building tools incorporated in ControlShell...

Topics: ALGORITHMS, MATRICES (MATHEMATICS), OPTICAL MEASURING INSTRUMENTS, STATE VECTORS, CONTROL SYSTEMS...

316
316

Jun 1, 2011
06/11

by
Brown, W. Byron; Monroe, William R

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A theoretical analysis of the temperature distribution through the trailing portion of a blade near the coolant passages of liquid cooled gas turbines was made. The analysis was applied to obtain the hot spot temperatures at the trailing edge and influence of design variables. The effective gas temperature was varied from 2000 degrees to 5000 degrees F in each investigation.

Topics: NAVIER-STOKES EQUATION, VISCOUS FLUIDS, FRICTION, STRESS ANALYSIS, SHEAR FLOW, ONE DIMENSIONAL...

332
332

May 30, 2011
05/11

by
Comiso, Josefino C

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Co-registered and continuous satellite data of sea ice concentrations and surface ice temperatures from 1981 to 1999 are analyzed to evaluate relationships between these two critical climate parameters and what they reveal in tandem about the changing Arctic environment. During the 18-year period, the actual Arctic ice area is shown to be declining at a rate of 3.1 /- 0.4 % /decade while the surface ice temperature has been increasing at 0.4 /- 0.2 K /decade. Yearly anomaly maps also show that...

Topics: COMPUTATIONAL GRIDS, POLARIZERS, MAXWELL EQUATION, BEAMS (RADIATION), MATHEMATICAL MODELS,...

334
334

May 22, 2011
05/11

by
Hyatt, Mark J.; Bansal, Narottam P

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Crystallization kinetics of BaO.Al2O3.2SiO2 (BAS) and SrO.Al2O3.2SiO2 (SAS) glasses in bulk and powder forms have been studied by non-isothermal differential scanning calorimetry (DSC). The crystal growth activation energies were evaluated to be 473 and 451 kJ/mol for bulk samples and 560 and 534 kJ/mol for powder specimens in BAS and SAS glasses, respectively. Development of crystalline phases on thermal treatments of glasses at various temperatures has been followed by powder x-ray...

Topics: ALGORITHMS, CHOLESKY FACTORIZATION, DATA STRUCTURES, MATRICES (MATHEMATICS), COMPUTATION, MEMORY...

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319

May 23, 2011
05/11

by
Long, Christopher C.; Horan, Stephe

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A concept for the addition of a Demand Assignment Multiple Access (DAMA) service to NASA's current Space Network (SN) is developed. Specifically, the design of a receiver for the DAMA channel is outlined. Also, an outline of the procedures taken to process the received service request is presented. The modifications to the (SN) system are minimal. The post reception processing is accomplished using standard commercial off the shelf (COTS) packages. The result is a random access system capable...

Topics: CODING, ALGEBRA, MATRICES (MATHEMATICS), PARITY, LINEAR EQUATIONS, THEOREMS, GEOMETRY

363
363

May 23, 2011
05/11

by
Rybicki, George C

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A Deep Level Transient Spectroscopy (DLTS) study of native and radiation induced defects in MOCVD n on p 6H-SiC diodes has been conducted. Three majority carrier levels were found, at E(sub v) 0.50 eV, E(sub v)0.55 eV and E(sub v)0.69 eV, and three minority carrier deep levels were found, at E(sub c)-0.38 eV, E(sub c)-0.48 eV and E(sub c)-0.58 eV. These 6 levels were initally observed in the unirradiated materials. Their concentration increased 2 to 13 fold after irradiation to a fluence of 2 x...

Topics: TRACKING (POSITION), APPROXIMATION, DIFFERENTIAL EQUATIONS, HELICOPTER CONTROL, MATRICES...

120
120

Jul 21, 2010
07/10

by
Storti, G.; Armstrong, R.; Johnson, S.; Lin, H. C.; Regnault, W.; Yoo, K. C

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The necessity for a low-cost crystalline silicon sheet material for photovoltaics has generated a number of alternative crystal growth techniques that would replace Czochralski (Cz) and float-zone (FZ) technologies. Efficiencies of devices fabricated from low resistivity FZ silicon are approaching 20%, and it is highly likely that this value will be superseded in the near future. However, FZ silicon is expensive, and is unlikely ever to be used for photovoltaics. Cz silicon has many of the...

Topics: FACTORIZATION, HEURISTIC METHODS, MATRICES (MATHEMATICS), MULTIPROCESSING (COMPUTERS), ALGORITHMS,...

168
168

Jun 9, 2011
06/11

by
Rogers, J. L

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Many companies are looking for new tools and techniques to aid a design manager in making decisions that can reduce the time and cost of a design cycle. One tool is the Design Manager's Aid for Intelligent Decomposition (DeMAID). Since the initial public release of DeMAID in 1989, much research has been done in the areas of decomposition, concurrent engineering, parallel processing, and process management; many new tools and techniques have emerged. Based on these recent research and...

Topics: ILL-CONDITIONED PROBLEMS (MATHEMATICS), MATRICES (MATHEMATICS), ESTIMATORS, NONLINEAR SYSTEMS,...

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822

Jul 6, 2010
07/10

by
Jessee, R. D

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This report covers the design and development of the laboratory model, and is essentially a compilation of reports covering the system and its various parts. To enhance completeness, the final report of Phase 1 covering circuit development of the controller is also included. A controller was developed for a brushless, direct-drive, single axis solar array reorientation system for earth-pointed, passively-stabilized spacecraft. A control systems was designed and breadboard circuits were built...

Topics: DIFFERENTIAL EQUATIONS, LIAPUNOV FUNCTIONS, LINEAR EQUATIONS, PROBLEM SOLVING, MATRICES...

241
241

Jun 1, 2011
06/11

by
Ratvasky, Thomas P.; Ranaudo, Richard J.; Barnhart, Billy P.; Dickes, Edward G.; Gingras, David R

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A piloted flight simulator called the Ice Contamination Effects Flight Training Device (ICEFTD), which uses low cost desktop components and a generic cockpit replication is being developed. The purpose of this device is to demonstrate the effectiveness of its use for training pilots to recognize and recover from aircraft handling anomalies that result from airframe ice formations. High-fidelity flight simulation models for various baseline (non-iced) and iced configurations were developed from...

Topics: ANGLES (GEOMETRY), AXES (REFERENCE LINES), ATTITUDE (INCLINATION), KINEMATIC EQUATIONS, MATRICES...

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315

May 23, 2011
05/11

by
Chattopadhyay, Aditi; Jha, Ratneshwa

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Composite wings have become increasingly popular in recent years due to significant potential of weight savings and stiffness tailoring. For aircraft wings made out of composite materials, aeroelastic tailoring presents an opportunity to enhance the aircraft performance by utilizing their unique stiffness and strength properties. Therefore, the goal of the current research are as follows: (1) Development of a new composite beam modeling, technique to represent the principal load-carrying member...

Topics: H-INFINITY CONTROL, TRANSFER FUNCTIONS, ROBUSTNESS (MATHEMATICS), COMPUTERIZED SIMULATION, SELF...

240
240

Jul 26, 2010
07/10

by
Gertel, Maurice; Holland, Richar

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No Abstract Available

Topics: ALGORITHMS, LINEAR EQUATIONS, MATRICES (MATHEMATICS), MATRIX THEORY, VECTORS (MATHEMATICS),...

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198

Jun 21, 2010
06/10

by
Cole, D. Q

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Techniques for controlling warpage and residual stresses in welded aluminum alloy structures for Saturn project

Topics: COMPUTER PROGRAMS, ENERGY SPECTRA, LEAST SQUARES METHOD, PULSE AMPLITUDE, CONSTRAINTS, MATRICES...

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285

Jun 19, 2010
06/10

by
Babenko, K. I.; Rusanov, V. V

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Differential calculations for three-dimensional supersonic gas flow around smooth body

Topics: DIFFERENTIAL CALCULUS, THREE-DIMENSIONAL FLOW, GAS DYNAMICS, GAS FLOW, MATRICES (MATHEMATICS),...

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718

Jul 11, 2010
07/10

by
White, R. G

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An investigation of the moments and probability distribution of the resultant of two normally distributed random variables is presented. This is the so-called generalized Rayleigh distribution which has many applications in the study of wind shear, random noise, and radar. The most general formula was derived, and two special cases were considered for which tables of the moments and probability distribution functions are included as an appendix. One of the special cases was generalized to...

Topics: APOLLO PROJECT, PERFORMANCE PREDICTION, REENTRY TRAJECTORIES, SPACECRAFT GUIDANCE, MATHEMATICAL...

Topics: DTIC Archive, NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS, *STATISTICAL ANALYSIS,...

Topics: DTIC Archive, Anderson, James L., MARYLAND UNIV BALTIMORE DENTAL SCHOOL, *QUANTUM THEORY,...

Topics: DTIC Archive, Rose, Nicholas J., STEVENS INST OF TECH HOBOKEN NJ EXPERIMENTAL TOWING TANK, *CONTROL...

Topics: DTIC Archive, FIREY, WILLIAM JAMES, STANFORD UNIV CA APPLIED MATHEMATICS AND STATISTICS LABS,...

Topics: DTIC Archive, ROY, S. N., NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS, *STATISTICAL...

Topics: DTIC Archive, ITO, KOICHI, NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS, *STATISTICAL...

Topics: DTIC Archive, BROWN, DUANE, ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD,...

Topics: DTIC Archive, FOSS, KENNETH A., MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES...

The determination of optimum solutions to systems of linear inequalities has assumed increasing importance as a tool for mathematical analysis of certain problems in economics, logistics, and the theory of games. This paper develops a theory for avoiding assumptions regarding rank of underlying matrices which has import in applications where little or nothing is known about the rank of some linear inequality system requiring solution.

Topics: DTIC Archive, Dantzig, George B, RAND CORP SANTA MONICA CA, *MATRICES(MATHEMATICS), *SCHEDULING,...