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46

Oct 6, 2015
10/15

by
Faybusovich, L.;Ammar, Gregory S.;Gragg, William B.

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Technical report for period July 1992 - September 1992.

Topic: INVERSION.,MATRICES(MATHEMATICS).,ORTHOGONALITY.

Naval Postgraduate School

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288

Dec 10, 2012
12/12

by
Gragg, William B.;Reichel, Lother.

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Title from cover

Topics: EIGENVALUES., ORTHOGONALITY., PROBLEM SOLVING.

Naval Postgraduate School

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140

Jan 24, 2013
01/13

by
Faybusovich, L.;Ammar, Gregory S.;Gragg, William B.

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Technical report for period July 1992 - September 1992.

Topics: INVERSION., MATRICES(MATHEMATICS)., ORTHOGONALITY.

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57

Oct 8, 2015
10/15

by
Gragg, William B.;Reichel, Lother.

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Title from cover

Topic: EIGENVALUES.,ORTHOGONALITY.,PROBLEM SOLVING.

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106

Jun 15, 2011
06/11

by
Mark L. Gurari

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Abstract: By redefinition of inner product and orthogonality concepts it has been gotten a formula for Fourier transform in Riemann space. It is proved, that n-dimensional Riemann space can be considered as two Euclidian n-spaces with one scalar limitation. As a local measure of the Riemann space curvature can be used cosine of angle between these two systems.

Topics: Fourier transform, Riemann space, orthogonality, curvature

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56

Oct 1, 2018
10/18

by
James Banks

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A very short pamphlet about a particular culinary phenomenon.

Topics: cooking, orthogonality, flavor, oatmeal, omelet, spices

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93

Jun 5, 2011
06/11

by
Mark L. Gurari

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By redefinition of inner product and orthogonality concepts it has been gotten a formula for Fourier transform in Riemann space.

Topics: Riemann space, redefined inner product, orthogonality, Fourier transform

Journal of Research of the National Bureau of Standards

Topics: Cunjugate functions, convex cones, duality, linear programming, orthogonality, polarity

402
402

Jun 13, 2011
06/11

by
Bui, Trong T.; Lux, David P.; Stenger, Mike; Munson, Mike; Teate, Georg

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A new testbed for hypersonic flight research is proposed. Known as the Phoenix air-launched small missile (ALSM) flight testbed, it was conceived to help address the lack of quick-turnaround and cost-effective hypersonic flight research capabilities. The Phoenix ALSM testbed results from utilization of two unique and very capable flight assets: the United States Navy Phoenix AIM-54 long-range, guided air-to-air missile and the NASA Dryden F-15B testbed airplane. The U.S. Navy retirement of the...

Topics: KALMAN FILTERS, DECOMPOSITION, THRUST, TURBOFAN ENGINES, ORTHOGONALITY, ENGINE PARTS, DEGRADATION

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186

Jun 21, 2010
06/10

by
Millionshchikov, M. D

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Aircraft, aerodynamic, and hydrodynamic studies at USSR research facility

Topics: MATHEMATICAL MODELS, MICHELL THEOREM, WEIGHT (MASS), ORTHOGONALITY, STRESS ANALYSIS, STRUCTURAL...

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221

May 22, 2011
05/11

by
Hah, C.; Loellbach, J.; Greenwald, D. A.; Griffin, L.; Ruf, J

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A three-dimensional numerical method has been developed to analyze the complex flow field inside a turbine volute. Comparisons are made between solutions with different boundary conditions.

Topics: FOURIER TRANSFORMATION, HARMONIC OSCILLATION, ORTHOGONAL FUNCTIONS, POLYNOMIALS, WAVE FUNCTIONS,...

Journal of Research of the National Bureau of Standards

Topics: Decomposable (or pure) tensor products, irreducible complex character, orthogonality relations,...

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204

May 23, 2011
05/11

by
Hymer, W. C.; Salada, T.; Cenci, R.; Krishnan, K.; Seaman, G. V. F.; Snyder, R.; Matsumiya, H.; Nagaoka, S

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In this report we describe the results of a continuous flow electrophoresis (CFE) experiment done on STS-65 in which we tested the idea that intracellular growth hormone (GH) particles contained in a cell lysate prepared from cultured rat anterior pituitary cells in microgravity might have different electrophoretic mobilities from those in a synchronous ground control cell lysate. Collectively, the results suggested that CFE processing in microgravity was better than on earth; more samples...

Topics: BOUNDARIES, ORTHOGONALITY, LOSSES, ALGORITHMS, COORDINATES, DYNAMIC CHARACTERISTICS, CHOLESKY...

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We prove the convergence of an adaptive mixed finite element method (AMFEM) for (nonsymmetric) convection-diffusion-reaction equations. The convergence result holds from the cases where convection or reaction is not present to convection-or reaction-dominated problems. A novel technique of analysis is developed without any quasi orthogonality for stress and displacement variables, and without marking the oscillation dependent on discrete solutions and data. We show that AMFEM is a contraction...

Topics: convection-diffusion-reaction equation, adaptive mixed finite element method, quasi orthogonality,...

Journal of Research of the National Bureau of Standards

Topics: Character of central type, central idempotent, Frobenius Reciprocity, group algebra, orthogonality...

The research done under this grant is (1) New main effect plus one plans and their robustness property against deletion of runs and (2) Robust experimental plan and its role in determining robust design against noise factors. The researchers near completion are on (1) Incorrectness of orthogonality condition for main effect plans, and (2) Determination of robust design against noise factors and in presence of signal factors.

Topics: DTIC Archive, Ghosh, Subir, CALIFORNIA UNIV RIVERSIDE DEPT OF STATISTICS, *STATISTICAL INFERENCE,...

This article considers single replicate factorial experiments in incomplete blocks. A systematic method for determining the unbiasedly estimable (u.e.) and not unbiasedly estimable (n.u.e) factorial effects is provided. Although the method is discussed for single replicate deletion designs in three incomplete blocks, the method can easily be extended to more than three blocks.

Topics: DTIC Archive, Ghosh, Subir, CALIFORNIA UNIV RIVERSIDE DEPT OF STATISTICS, *COMBINATORIAL ANALYSIS,...

Partial contents: Problem Statement, Defining Sustainment Battle Command, The Future Force, The Model, Nearly Orthogonal Latin Hypercube (NOLH), The Design of Experiments, Results, The Way Ahead

Topics: DTIC Archive, Costa, Louis A, NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *FORECASTING, *BATTLES,...

Orthogonal Matching Pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used for a very straightforward analysis of OMP. Our main conclusion is that the RIP of order K + 1 (with isometry constant delta is greater than 1/square root of 3/K) is sufficient for OMP to exactly recover any K-sparse signal. Our analysis relies on simple and intuitive observations about OMP and matrices which satisfy...

Topics: DTIC Archive, RICE UNIV HOUSTON TX DEPT OF ELECTRICAL AND COMPUTER ENGINEERING, *ALGORITHMS,...

Given a Jordan curve T in the complex plane, we describe a polynomial family which is asymptotically orthonormal on T. The polynomials have some similarities with the Faber polynomials but are simpler to compute with. Numerical examples are presented. (Author)

Topics: DTIC Archive, Reichel,Lothar, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *POLYNOMIALS,...

The problem of finding minimum guard covers in NP-hard for simple polygons and open for simple orthogonal polygons. Alternative definitions of visibility have been considered for orthogonal polygons. In this paper we try to determine the complexity of finding guard covers in orthogonal polygons by considering periscope visibility. Under periscope visibility two points in an orthogonal polygon are visible if there is an orthogonal path with at most one bend that connects them without...

Topics: DTIC Archive, Gewali, Laxmi, NEVADA UNIV LAS VEGAS, *PERISCOPES, *NONLINEAR PROGRAMMING,...

A distributed reservation-based multiple access protocol is proposed, analyzed and evaluated. This scheme is based on the quasi-orthogonality property than can be achieved through the use of spread spectrum signaling, which permits the correct reception of a signal despite the simultaneous presence of other channel users. The effect on performance of the ability to tolerate varying levels of other-user interference is demonstrated. No acknowledgment or feedback information from the destination...

Topics: DTIC Archive, Wieselthier,Jeffrey E, Naval Research Laboratory Washington United States, multiple...

Computing the eigenvalues and orthogonal eigenvectors of an n x n symmetric tridiagonal matrix is an important task that arises while solving any symmetric eigenproblem. All practical software requires O(n3) time to compute all the eigenvectors and ensure their orthogonality when eigenvalues are close. In the first part of this thesis we review earlier work and show how some existing implementations of inverse iteration can fail in surprising ways. The main contribution of this thesis is a new...

Topics: DTIC Archive, CALIFORNIA UNIV BERKELEY GRADUATE DIV, *ALGORITHMS, *LINEAR ALGEBRA, EIGENVALUES,...

A simple characterization is given of finitely generated subspaces of L2(IR(d)) which are invariant under translation by any (multi)integer, and used to give conditions under which such a space has a particularly nice generating set, namely a basis, and, more than that, a basis with desirable properties, such as stability, orthogonality, or linear independence. The last property makes sense only for 'local' spaces, i.e., shift-invariant spaces generated by finitely many compactly supported...

Topics: DTIC Archive, De Boor, Carl, WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES, *FUNCTIONS,...

It has been shown that peridynamic simulation of damage process does not require any knowledge of the damage location and orientation prior to the simulation. This is fundamentally different from finite element analysis which requires knowledge of damage location and orientation in advance to impose special finite element mesh, such as initial damage elements and cohesive zone layers [1], for damage simulations. This prerequisite becomes even more challenging when inhomogeneous and anisotropic...

Topics: DTIC Archive, MICHIGAN STATE UNIV EAST LANSING, *COMPOSITE MATERIALS, *ORTHOGONALITY, ANISOTROPY,...

Real-time tracking of human body motion has applications in tele-operation, synthetic reality and others. A motion tracking system based on use of the MARG sensor has been under development at Naval Postgraduate School and Miami University. The Magnetic, Angular Rate and Gravity (MARG) sensor modules use B combination of three orthogonal magnetometers, three orthogonal angular rate sensors, and three orthogonal accelerometers to measure 3-D orientation of individual limb segments in order to...

Topics: DTIC Archive, NAVAL POSTGRADUATE SCHOOL MONTEREY CA, *HUMAN BODY, *MOTION, *TRACKING,...

We consider Toda flows induced on the set of orthogonal upper Hessenberg matrices. The explicit formulas for the evolution of Schur parameters are given.

Topics: DTIC Archive, Faybusovich, L, NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS,...

A fast algorithm was developed for accurately generating boundary conforming, three dimensional, consecutively refined, computational grids applicable to arbitrary axial turbomachinery geometry. The method is based on using a single analytic function to generate two dimensional grids on a number of coaxial axisymmetric surfaces positioned between the hub and the shroud. These grids are of the "O" type and are characterized by quasi-orthogonality, geometric periodicity, and an adequate...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, BOUNDARIES, GEOMETRY, GRID GENERATION...

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of orthogonal matching pursuit techniques, and reconstruction accuracy of the same order as that of LP optimization methods. The presented analysis shows that in the noiseless setting, the proposed algorithm can exactly reconstruct arbitrary sparse signals...

Topics: DTIC Archive, ILLINOIS UNIV AT URBANA-CHAMAPAIGN, *PERTURBATIONS, *ALGORITHMS, ACCURACY,...

A method of calibration has been devised for a pair of mutually orthogonal two-axis cathetometers that, when used together, yield measurements of three-dimensional positions of objects mounted on an optical bench. Each cathetometer has a horizontal travel of 1.8 m and a vertical travel of 1.2 m. The cathetometers are required to measure X, Y, and Z coordinates (see figure) to within plus or minus 0.005 in. (plus or minus 0.127 mm). Each cathetometer consists of an alignment telescope on a...

Topics: NASA Technical Reports Server (NTRS), CALIBRATING, CATHETOMETERS, ORTHOGONALITY, INTERPOLATION,...

A method and apparatus for an optogalvanic spectroscopy system are disclosed. Orthogonal geometry exists between the axis of a laser probe beam and the axis of a discharge created by a pair of spaced apart and longituduinally aligned high voltage electrodes. The electrodes are movable to permit adjustment of the location of a point in the discharge which is to irradiated by a laser beam crossing the discharge region. The cell dimensions are selected so that the cross section of the discharge...

Topics: NASA Technical Reports Server (NTRS), ELECTRODES, LASER APPLICATIONS, OPTOGALVANIC SPECTROSCOPY,...

Classifiers for surveillance sonar systems are often designed to operate on large sets of predefined clues, or features. Sometimes the mathematical definitions for these features are poorly known. Other times the designer is not aware that a fixed and class-independent linear (or affine) relationship exists between subsets of features. We discuss a method based on Gram-Schmidt orthogonalization which allows the classifier designer to determine whether subsets of features have such...

Topics: DTIC Archive, NAVAL UNDERSEA WARFARE CENTER DIV NEWPORT RI, *SONAR, MEASUREMENT, RANK ORDER...

A new linear point design technique is presented for the determination of tuning parameters that enable the optimal estimation of unmeasured engine outputs such as thrust. The engine s performance is affected by its level of degradation, generally described in terms of unmeasurable health parameters related to each major engine component. Accurate thrust reconstruction depends upon knowledge of these health parameters, but there are usually too few sensors to be able to estimate their values....

Topics: NASA Technical Reports Server (NTRS), KALMAN FILTERS, DECOMPOSITION, THRUST, TURBOFAN ENGINES,...

The primary objectives for this project were: (1) Conduct an independent validation of the macrocognition model developed by researchers in the Collaborative and Knowledge lnteroperability (CKI) program, and (2) Examine the reliability and validity of new macrocognition metrics for team collaboration processes. The research was conducted in two phases. Phase I examined the orthogonality of 20 macrocognitive processes with a card sort study with study participants with no prior knowledge vs....

Topics: DTIC Archive, OHIO STATE UNIV COLUMBUS, *COGNITION, *COLLABORATIVE TECHNIQUES, *MODELS, LOGISTICS...

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192

Jun 9, 2011
06/11

by
Cabell, Randolph H.; Gibbs, Gary P.; Sprofera, Joseph D.; Clark, Robert L

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Turbulent boundary layer (TBL) noise is considered a primary factor in the interior noise experienced by passengers aboard commercial airliners. There have been numerous investigations of interior noise control devoted to aircraft panels; however, practical realization is a challenge since the physical boundary conditions are uncertain at best. In most prior studies, pinned or clamped boundary conditions have been assumed; however, realistic panels likely display a range of varying boundary...

Topics: CORRELATION COEFFICIENTS, LINEAR TRANSFORMATIONS, TENSOR ANALYSIS, ORTHOGONALITY, COST ESTIMATES,...

Two elliptic grid generation schemes that yield orthogonal grids are presented (FGBR and UBGR). With the UBGR scheme, the grid points on the flow boundaries are automatically determined by the algorithm, while the FBGR scheme at most one half of the boundary grid points may be prespecified and the remainder of boundary grid points are determined automatically. Numerical examples show their capability of easy stretching, clustering and shock fitting while maintaining orthogonality of grid. The...

Topics: NASA Technical Reports Server (NTRS), CLUSTER ANALYSIS, COORDINATES, FLOW CHARACTERISTICS, GRID...

A fast and versatile procedure for algebraically generating boundary conforming computational grids for use with finite-volume Euler flow solvers is presented. A semi-analytic homotopic procedure is used to generate the grids. Grids generated in two-dimensional planes are stacked to produce quasi-three-dimensional grid systems. The body surface and outer boundary are described in terms of surface parameters. An interpolation scheme is used to blend between the body surface and the outer...

Topics: NASA Technical Reports Server (NTRS), COMPUTATIONAL GRIDS, FINITE VOLUME METHOD, GRID GENERATION...

A method is presented for computing orthogonal boundary fitted coordinate systems for geometries with coordinate distributions specified on all boundaries. The system which has found most extensive use in generating boundary fitted grids is made up of Poisson equations, of which the functions P and Q provide a means for controlling the spacing and density of grid lines in the coordinate system. While questions remain concerning the existence and uniqueness of orthogonal systems, the generating...

Topics: NASA Technical Reports Server (NTRS), BOUNDARIES, COORDINATES, GRID GENERATION (MATHEMATICS),...

286
286

May 28, 2011
05/11

by
NON

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This report lists reports, articles and other documents recently announced in the NASA STI Database.

Topics: NONLINEAR SYSTEMS, COEFFICIENTS, COMPUTATIONAL GRIDS, NONLINEARITY, NEURAL NETS, VOLTERRA...

The magnitude, variance and directionality of the velocity perturbations of the fragments of a satellite can shed valuable information regarding the nature and intensity of the fragmentation. Up until now, the only method used to calculate the three orthogonal components of the velocity change consisted of inverting the process of evaluating the changes in the orbital elements of the fragments due to velocity perturbing forces. But the traditional method failed in five different cases: (1) when...

Topics: NASA Technical Reports Server (NTRS), ARTIFICIAL SATELLITES, FRAGMENTATION, SATELLITE PERTURBATION,...

A Ramanujan-type representation for the Askey-Wilson q-beta integral, admitting the transformation q to q(exp -1), is obtained. Orthogonality of the Askey-Wilson polynomials with respect to a measure, entering into this representation, is proved. A simple way of evaluating the Askey-Wilson q-beta integral is also given.

Topics: NASA Technical Reports Server (NTRS), FOURIER TRANSFORMATION, HARMONIC OSCILLATION, ORTHOGONAL...

Topics: DTIC Archive, Kahan,W, CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS, *Programming languages,...

Research is generating fundamental engineering design techniques and concepts for the chromatographic separator of a chemical analysis system for an unmanned, Martian roving vehicle. A chromatograph model is developed which incorporates previously neglected transport mechanisms. The numerical technique of orthogonal collocation is studied. To establish the utility of the method, three models of increasing complexity are considered, the latter two being limiting cases of the derived model: (1) a...

Topics: NASA Technical Reports Server (NTRS), GAS CHROMATOGRAPHY, MARS (PLANET), ROVING VEHICLES, CHEMICAL...

In recent years, there has been a tendency to confuse the terms Intelligence, Autonomy, and Capability. In this paper we present the viewpoint that intelligence and capability are independent. These two factors describe an orthogonal design space that places upper bounds on the autonomy of the intelligent system. This design space for intelligent systems is illustrated by describing existing intelligent systems (some artificial, some natural) which demonstrate discrete points in the design...

Topics: DTIC Archive, GAMMA TWO DENVER CO, *BIOLOGY, *ARTIFICIAL INTELLIGENCE, *SELF OPERATION, METRICS,...

We give a construction for refinable spline functions of degree n with compact support and simple knots in 1/4 ZZ which are biorthogonal to uniform B-splines of degree n with simple knots at 1/3 ZZ.

Topics: DTIC Archive, Goodman, Tim N., DUNDEE UNIV (UNITED KINGDOM) DEPT OF MATHEMATICS, *ORTHOGONALITY,...

It is shown that for four-transmitter systems, a family of four-by-four unit-rate complex quasi-orthogonal space-time block codes, where each entry equals a symbol variable up to a change of sign and/or complex conjugation, can be generated from any two independent codes via elementary operations. The two independent groups of codes in the family generally have different properties of diversity, but the codes in each group have the same diversity provided that the differential symbol...

Topics: DTIC Archive, CALIFORNIA UNIV RIVERSIDE DEPT OF ELECTRICAL ENGINEERING, *TIME, *SPACE(ROOM), PHASE...

A proof is presented of the theorem that if B is a Banach space and if T is a completely continuous operator in B, there then exist proper invariant subspaces of T. The proof assumes strong convergence, complete continuity in the sense that any bounded set is transformed by T into a set with compact closure, and a strictly convex norm. The same theorem is proved for a Hilbert space; the theorem utilizes the concepts of weak and strong convergenece of elements and operators. The simplifying...

Topics: DTIC Archive, ARONSZAJN, N., SMITH, K.T., KANSAS UNIV LAWRENCE, *BANACH SPACE, *HILBERT SPACE,...

It is shown that Bush's bound for maximum number of constraints in an orthogonal array of index unity is uniformly better than Rao's bound. In addition it is shown, using an argument similar to that needed in the proof of the above result, that Noda's characterization of parameters in orthogonal arrays of strength 4 achieving equality in Rao's bound, leads easily to a similar characterization in arrays of strength 5. These results are useful designing experiments for quality control.

Topics: DTIC Archive, Hedayat, A, ILLINOIS UNIV AT CHICAGO CIRCLE STATISTICAL LAB, *ARRAYS, *ORTHOGONALITY,...

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227

Jun 1, 2011
06/11

by
Busemann, Adol

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The calculation of infinitesimal conical supersonic flow has been applied first to the simplest examples that have also been calculated in another way. Except for the discovery of a miscalculation in an older report, there was found the expected conformity. The new method of calculation is limited more definitely to the conical case.

Topics: WAVELET ANALYSIS, PRESSURE, GRID GENERATION (MATHEMATICS), ALGORITHMS, DISSIPATION, TURBULENCE,...

In this paper we study certain fractional factorial designs, which are known in the literature as incomplete orthogonal arrays. We indicate situations in which these designs can be of practical interest and study both some of their mathematical, as well as statistical properties.

Topics: DTIC Archive, Hedayat,A S, ILLINOIS UNIV AT CHICAGO CIRCLE STATISTICAL LAB, *FACTORIAL DESIGN,...