Bo and Neil electronic junkies, with a pile of synths and drum machines. Sequencing heaven.... What is behind the music of ellipses is the constant rate of progression, there is no specific genre. They love to experiment with fashions of instrumentation, any way to sum it up... yo' there is some mad beats and beatiful sounds. -ellipses* (if you look it up int he dictionary, thats what it means - a statement*) This is all original stuff... Any instrument that will produce nice sounds.....

Topic: ellipses

A Modifying Model is developed which sharpens the 24 hour position forecast issued by the Navy Operational Global Atmospheric Prediction model (NOGAPS) 24 hours into a selected, mid-latitude, Central Pacific cyclone. The technique involves measuring cyclone characteristics within the first 24 hours and using these values in regression equations to provide improved forecasts for the next 24 hour position forecast. Generally, the modified position forecasts are to the left and ahead of the NOGAPS...

Topics: NOGAPS modification, probability ellipses, regression models

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Mar 5, 2009
03/09

by
NASA LaRC Office of Education

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NASA Connect Segment involving students participating in an activity to measure and calculate ellipses. The activity explains ellipses and their relation to Earth and Mars.

Topics: NASA Connect, Ellipses, Orbits, Student Activity, Johannes Kepler

Source: http://nasa.ibiblio.org/details.php?videoid=6083&start=20&subject=Mathematics

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Jul 23, 2010
07/10

by
Lee, Hee G.; Choi, Kyung K.; Haug, Edward J

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No Abstract Available

Topics: CONFIDENCE LIMITS, CORRELATION, COVARIANCE, NORMALIZING (STATISTICS), STANDARD DEVIATION, ELLIPSES,...

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406

Mar 5, 2009
03/09

by
NASA LaRC Office of Education

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NASA Connect Segment that explains who Pythagoras was and how he contributed towards geometry. Also it explains how geometry is used in everyday life.

Topics: NASA Connect, Pythagoras, Pythagoras Theorem, Ellipses, Geometry, Right Triangle, Hypotenuse

Source: http://nasa.ibiblio.org/details.php?videoid=6088&start=20&subject=Mathematics

Ellipse * isometric templates and complete sets - Alvin

Topics: template, ellipse, templates, isometric, centering, arrow, circles, size, transparent, ellipses,...

Bell System Technical Journal, 52: 3. March 1973 pp 319-327. Restoring the Orthogonality of Two Polarizations in Radio Communication Systems, II. (Chu, T.S.)

Topics: polarization, differential, tan, ellipses, phase, attenuation, linear, polarizations, transmitting,...

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Mar 5, 2009
03/09

by
NASA LaRC Office of Education

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NASA Connect Video containing six segments as described below. NASA Connect Segment involving students participating in an activity to measure and calculate ellipses. The activity explains ellipses and their relation to Earth and Mars. NASA Connect Segme

Topics: NASA Connect, Mars, Geometry, Pythagoras Theorem, Ellipses, Mars Millenium Project, Mars...

Source: http://nasa.ibiblio.org/details.php?videoid=6082&start=20&subject=Mathematics

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296

Mar 5, 2009
03/09

by
NASA LaRC Office of Education

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NASA Connect Segment that explores how NASA scientists use geometry to navigate spacecraft from Earth to Mars. It also explains the goals and accomplishments of the Viking Mission.

Topics: NASA Connect, Navigation to Mars, Spacecraft, NASA Viking Mission, Ellipses, Geometry in Navigation

Source: http://nasa.ibiblio.org/details.php?videoid=6087&start=20&subject=Mathematics

This memo extends the results for Tech Memo 11. By use of simulation, two EEP ellipses, one or both inappropriately (by use of the wrong statistic) normalized, are combined. The probability (obtained by simulating the ellipse combination 1000 times) of the resultant ellipse containing the target is then compared to the theoretical result. Keywords: Simulation, EEP, Chi square statistic, F-statistic, Confidence Level, Variance, Covariance, Ellipse combination, Sample size.

Topics: DTIC Archive, JET PROPULSION LAB PASADENA CA, *COMPUTER PROGRAMS, *CONFIDENCE LEVEL, *SIMULATION,...

Unstructured methods for region discretization have become common in computational fluid dynamics (CFD) analysis because of certain benefits they have over structured meshes (where the discretization of the domain reflects some type of consistent geometrical regularity). Unstructured meshes are powerful tools for efficiently defining complex geometries and also lend themselves to analysis techniques such as adaptive mesh refinement (AMR) where the properties of the mesh adapt to the properties...

Topics: DTIC Archive, ARNOLD ENGINEERING DEVELOPMENT CENTER ARNOLD AFB TN, *EQUATIONS, *MESH, ADAPTIVE...

Expressions for the perimeter of the unit circle of a normal linear plane in terms of elliptic integrals of the first and second kinds are given. Asymptotic results, where the center is close to the boundary are discussed. An affine transformation is used to obtain similar results for an ellipse.

Topics: DTIC Archive, Ghandehari, Mostafa, NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS,...

Some of the most useful and important tools in the study of elliptic boundary value problems are maximum principles. So called strong maximum principles provide strict inequalities when appropriate conditions are fulfilled. In this work a strong maximum principle is improved by exhibiting an explicit estimate sharper than what follows from usual arguments. (Author)

Topics: DTIC Archive, Brezis,Haiem, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *BOUNDARY VALUE...

Given the proper interpretation the perpendicular method may be thought of as a version of ellipse combination. A number of observations about this relationship will be made in this memo. The sections of this memo correspond to different major points or point of views. To summarize these are: 1. Geometric interpretation of lines of bearings as ellipses. 2. Interpretation of EEPs (Error Ellipse Probable) as a geometric combination of lines of bearing in the ellipse format. 3. Algebraic version...

Topics: DTIC Archive, JET PROPULSION LAB PASADENA CA, *TARGETING, *RANGE FINDING, BEARINGS, ELLIPSES,...

Three-dimensional system uses two additional mirrors and path compensators. It is essentially three mutually-orthogonal one-dimensional systems with common focus. Laser beam is split into four parts, three of which are object beams; and fourth is reference beam. Size of each ellipse depends on magnitude of velocity vectors.

Topics: NASA Technical Reports Server (NTRS), CAMERAS, ELLIPSES, HOLOGRAPHY, MOTION PICTURES, PHOTOGRAPHY,...

A classical inequality due to Bernstein which estimates the norm of polynomials on any given ellipse in terms of their norm on any smaller ellipse with the same foci is examined. For the uniform and a certain weighted uniform norm, and for the case that the two ellipses are not too close, sharp estimates of this type were derived and the corresponding extremal polynomials were determined. These Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation...

Topics: NASA Technical Reports Server (NTRS), CHEBYSHEV APPROXIMATION, ELLIPSES, INEQUALITIES, POLYNOMIALS,...

Multigrid methods have been established as being among the most efficient techniques for solving complex elliptic equations. We sketch the multigrid idea emphasizing that multigrid solution is generally obtainable in time directly proportional to the number of unknown variables on serial computers. Despite this, even the most powerful serial computers are not adequate for solving the very large systems generated, for instance by discretization of fluid flow in three dimensions. A breakthrough...

Topics: DTIC Archive, COLORADO UNIV AT BOULDER DEPT OF COMPUTER SCIENCE, *COMPUTERS, *GRIDS, *PARALLEL...

New and sharp estimates are derived for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation problems on ellipses. Also presented are some new results for approximation problems of this type.

Topics: NASA Technical Reports Server (NTRS), CHEBYSHEV APPROXIMATION, ELLIPSES, INEQUALITIES, POLYNOMIALS,...

This document considers a system of ordinary differential equations of the form (*) q + V sub q (t,q) = f(t) where f and V are periodic in t, V is periodic in the components of q = (q sub 1,..., q sub m), and the mean value of f vanishes. By showing that a corresponding functional is invariant under a natural Z sub n action, a simple variational argument yields at least n + 1 distinct periodic solutions of (*). More general versions of (*) are also treated as is a class of Neumann problems for...

Topics: DTIC Archive, Rabinowitz, Paul H, WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES, *PARTIAL...

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198

Jul 26, 2010
07/10

by
Grossman, K.; Yuan, C

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No Abstract Available

Topics: BEARING (DIRECTION), SENSORS, CONFIDENCE LIMITS, DIRECTION FINDING, POSITION (LOCATION),...

Here, we show that if E is a CM elliptic curve with CM eld Q(square root -d), then the set of n for which the nth Fibonacci number Fn satisfies an elliptic Korselt criterion for Q(square root -d) (defined in the paper) is of asymptotic density zero.

Topics: DTIC Archive, NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS, *INTEGRAL...

A method of forming a shock-free supersonic elliptic nozzle, in which the nozzle to be designed is divided into three sections, a circular-to-elliptic section which begins at a circular nozzle inlet, an elliptic subsonic section downstream from the circular-to-elliptic section and a supersonic section downstream from the elliptic subsonic section. The maximum and minimum radii for each axial point in the circular-to-elliptic section and the elliptic subsonic section are then separately...

Topics: NASA Technical Reports Server (NTRS), SUPERSONIC NOZZLES, JET NOZZLES, ELLIPSES, PATENTS, Seiner,...

Slender body methods were applied to some specialized problems associated with missile configurations with elliptic cross sections. Expressions are derived for computing the velocity distribution on the nose section when the ellipse eccentricity is varying longitudinally on the missile. The cross flow velocity on a triform fin section is also studied.

Topics: NASA Technical Reports Server (NTRS), MISSILE CONFIGURATIONS, SLENDER BODIES, VELOCITY...

An algorithm is given for evaluating the elliptical coverage function. A fortran subroutine PKILL supplies the function to at least six significant digits over a large range of the input parameters when the precision is not restricted by inherent error. Several new procedures are used. An algorithm is also given for the supporting function erf(x + h) - erf(x - h). A fortran function AERF supplies this function to 12 significant digits. Listings of transportable Fortran subprograms PKILL and...

Topics: DTIC Archive, Didonato, Armido R, NAVAL SURFACE WARFARE CENTER DAHLGREN VA, *ALGORITHMS, *FORTRAN,...

Topics: NASA Technical Reports Server (NTRS), CONFIDENCE LIMITS, CORRELATION, COVARIANCE, NORMALIZING...

Special solutions of the Yang-Mills field equations of theoretical physics may be obtained by solving a boundary value problem for a nonlinear elliptic equation in a two dimensional half space. This equation degenerates at the boundary of the region and this degeneracy makes it a delicate matter to study how the solutions behave near the boundary. In this work it is proved that the weak solutions previously known to exist are in fact smooth up to the boundary.

Topics: DTIC Archive, Brezis ,Haiem, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *BOUNDARY VALUE...

A new debris disk has been imaged in visible light around the G2V star HD 202628 using the STIS coronagraph on the Hubble Space Telescope. The broad ring is inclined 61 deg from face-on and extends as far as 260 AU from the star. The star is noticeably displaced from the apparent ring center by 20 AU. The ring inner edge is sharp and well-described by an inclined ellipse with a= 158 AU, e= 0.18, and the star at one focus. These properties are similar to the Fomalhaut debris ring and likewise...

Topics: NASA Technical Reports Server (NTRS), SPACE DEBRIS, ELLIPSES, PLANETARY EVOLUTION, PLANETARY MASS,...

An investigation was conducted of a monoplanar maneuverable missile concept having a nose forebody with a circular cross section and a centerbody and afterbody with elliptical cross sections. The tests involved several component changes and were conducted in the low Mach number test section of the Langley Unitary Plan wind tunnel at Mach numbers of 1.60, 2.16, and 2.86, at angles of attack ranging from -4 degs to 28 degs and at sideslip angles ranging from -4 degs to 8 degs. The most...

Topics: NASA Technical Reports Server (NTRS), AERODYNAMIC CHARACTERISTICS, MISSILE CONTROL, ELLIPSES, MACH...

Ellipsis in English can occur in many different forms. A large class of ellipses is isolated, encompassing such traditionally distinct linguistic rules as Right-node Raising, Gapping, VP-Deletion, Coordinate Reduction, and other phenomena which crosses sentence boundaries. The members of this class of ellipses involve implicit or explicit coordination. A uniform algorithm implemented in the UC (Unix Consultant) natural language system resolves the ellipses in this class, and constraints are...

Topics: DTIC Archive, CALIFORNIA UNIV BERKELEY COMPUTER SCIENCE DIV, *COMPUTER PROGRAMS, *ELLIPSES,...

The proposal to AFOSR emphasized research on the effective solution of discrete elliptic equations. In particular the proposal emphasized that the research would concentrate on four main areas: (1) Sharp Estimates for Multigrid Methods; (2) Preconditioned Conjugate Gradient methods with a particular emphasis on multigrid as a preconditioner; (3) Indefinite elliptic problems and singularly perturbed elliptic problems; (4) The implementation of these methods on parallel computers and...

Topics: DTIC Archive, Parter, Seymour V, WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES, *NUMERICAL...

The problem is that of finding among all polynomials of degree at most n and normalized to be 1 at c the one with minimal uniform norm on Epsilon. Here, Epsilon is a given ellipse with both foci on the real axis and c is a given real point not contained in Epsilon. Problems of this type arise in certain iterative matrix computations and, in this context, it is generally believed and widely referenced that suitably normalized Chebyshev polynomials are optimal for such constrained approximation...

Topics: NASA Technical Reports Server (NTRS), CHEBYSHEV APPROXIMATION, ITERATION, MATRICES (MATHEMATICS),...

This report compares the probability contained in the Circular Error Probable associated with an Elliptical Error Probable to that of the EEP at a given confidence level. The levels examined are 50 percent and 95 percent. The CEP is found to be both more conservative and less conservative than the associated EEP, depending on the eccentricity of the ellipse. The formulas used are derived in the appendix.

Topics: NASA Technical Reports Server (NTRS), CONFIDENCE LIMITS, ELLIPSES, ERROR ANALYSIS, PROBABILITY...

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vi, 205 pages : 24 cm

Topics: Ellipses-Marketing, Libraries -- Special collections -- Electronic information resources, Academic...

This research addressed a class of exact solutions for the Navier Stokes equations which: are valid for basic flows with shear; can be time- dependent and non parallel, fully three-dimensional, and offer closed-form functions for the perturbation field. Linearized initial-value problems can be completely solved by this method. Problems which were studied in the course of the research included the elliptic vortex, linear initial value problems, and exact solutions to the Navier Stokes equations.

Topics: DTIC Archive, Criminale, W O, WASHINGTON UNIV SEATTLE DEPT OF APPLIED MATHEMATICS, *FUNCTIONS,...

A procedure is developed that, in two iterations, solves the hyperbolic Kepler's equation in a very efficient manner, and to an accuracy that proves to be always better than 10 to the minus 20th power (relative truncation error). Earlier work on the elliptic equation has been extended by the development of a new procedure that solves to a maximum relative error of 10 to the minus 14th power. Keywords: Great Britain.

Topics: DTIC Archive, Gooding, R H, ROYAL AEROSPACE ESTABLISHMENT FARNBOROUGH (UNITED KINGDOM), *EQUATIONS,...

A priori error estimates are derived for the approximation of an inverse problem in which it is desired to identify an unknown constant coefficient in a one space dimensional parabolic or two space dimensional elliptic partial differential equation whose general form is known. (Author)

Topics: DTIC Archive, Falk,Richard S, WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER, *COEFFICIENTS,...

We present the first maximum-entropy maps reconstructed from visibility amplitudes obtained with an optical long-baseline interferometer. They show the Be shell star zeta Tauri. In the continuum at 550 nm the star is an unresolved point source, whereas in the light of the H-alpha line an extended, elongated structure is observed. The best-fit parameters of an elliptical Gaussian model are: major axis a = 3.55 +/- 0.33 mas, axial ratio r = 0.30 +/- 0.03, position angle phi = -59 deg +/- 4 deg....

Topics: DTIC Archive, NAVAL OBSERVATORY WASHINGTON DC, *ENTROPY, *INTERFEROMETERS, *OPTICAL PROPERTIES,...

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Feb 28, 2022
02/22

by
Lopes, Teresa da Silva, 1968-

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1 online resource (xxii, 303 pages, 22 unnumbered pages of plates) :

Topics: Ellipses-Marketing, Alcoholic beverage industry, International business enterprises, Brand name...

This report describes research undertaken at the Research Institute of Colorado on two computational mathematics topics: algebraic multigrid (AMG), and the fast adaptive composite grid method (FAC). Conventional or geometric multigrid algorithms depend on knowledge of the underlying geometry for a given problem (e.g., a partial differential equation). This knowledge is used to predetermine coarser grids and the attendant operators and intergrid transfers. Although very efficient solvers can be...

Topics: DTIC Archive, McCormick,Stephen, RESEARCH INST OF COLORADO FORT COLLINS, *COMPUTATIONS, *GRIDS,...

Contents: Systems of Semilinear Elliptic Equations; Gauge and Conditional Gauge Theorem; Markov Processes with Random Times of Birth and Death; Symmetric Markov Processes and Capacities.

Topics: DTIC Archive, Glover,Joseph, FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS, *PARTIAL DIFFERENTIAL...

This report examines the effect of truncation of data on the estimation of variance in fix estimation. The methodology used in QUICKFIX is examined in detail. The effect of different truncation parameters and different numbers of LOBs are tabulated. Under the assumption that truncation is centered about the true mean, a formula for correcting for truncation is presented in Appendix I. Appendix II is missing and can be obtained by contracting MARC directly. Keywords: Computations; Standard...

Topics: DTIC Archive, Rennie, Michael W, JET PROPULSION LAB PASADENA CA, *ESTIMATES, *TRUNCATION, *ANALYSIS...

Conditions are formulated which guarantee the existence of positive solutions for simultaneous systems on an open domain with each constant is a positive measure. The main tools used are probabilistic potential theory, Markov processes, and an iterative scheme which is not a generalization of the one used for quasi-monotone systems. Quasi-monotonicity is not assumed and new results are obtained.

Topics: DTIC Archive, Glover,Joseph, FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS, *MARKOV PROCESSES,...

Ring Image Analyzer software analyzes images to recognize elliptical patterns. It determines the ellipse parameters (axes ratio, centroid coordinate, tilt angle). The program attempts to recognize elliptical fringes (e.g., Newton Rings) on a photograph and determine their centroid position, the short-to-long-axis ratio, and the angle of rotation of the long axis relative to the horizontal direction on the photograph. These capabilities are important in interferometric imaging and control of...

Topics: NASA Technical Reports Server (NTRS), CENTROIDS, ELLIPSES, IMAGING TECHNIQUES, PATTERN RECOGNITION,...

In model-based recognition of vehicles, wheels can play a key role. Certainly, they are the most prominent features of a vehicle. However, finding wheels in an image is a difficult task. Generally, a wheel appears as an ellipse in an image. An obvious way of finding ellipses is to use the Hough transform. The difficulty is that the search space is 5-dimensional. This curse of dimensionality is with us no matter what method we use to search for the ellipses. We use a stero pair of images to...

Topics: DTIC Archive, McDonnell, M M, ARMY ENGINEER TOPOGRAPHIC LABS FORT BELVOIR VA, *WHEELS,...

Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.

Topics: DTIC Archive, Leissa, Arthur W., OHIO STATE UNIV COLUMBUS, *VIBRATION, *PLATES, THICKNESS,...

The future Naval Electromagnetic Railgun will use a mega-ampere electrical current to generate an electromagnetic force which accelerates a projectile to hypersonic velocities. The applied current can raise the bulk temperature of the rails by over 100 degrees Celsius, necessitating an active cooling system for the rails to sustain high rates of fire without incurring permanent damage to the gun. The electromagnetic force on the projectile and the rails creates a complicated stress state that...

Topics: DTIC Archive, Kealey, Elizabeth R, NAVAL ACADEMY ANNAPOLIS MD, *ELECTROMAGNETIC GUNS, HEAT...

A proposal emphasized research on iterative methods for the solution of discrete elliptic boundary-value problems. A topic of special interest is the study of multigrid iterative methods. Three reports were completed during this period: (1) On MGR (v) Multigrid Methods; (2) Multigrid and MGR (v); Methods for Diffusion Equations; and (3) A Note on Convergence of the Multigrid V-Cycle. Two have been accepted for publication, and one has just been submitted.

Topics: DTIC Archive, Parter,S, WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES, *NUMERICAL ANALYSIS,...

Kellerer's integral expression for the differential chord distribution for a right circular cylinder is evaluated numerically after first reducing to Carlson's symmetric elliptic integrals and standard integrals. This distribution has been useful in microdosimetry and currently is being used in single event upset calculations. Keywords: Chord distribution, Circular cylinder, Elliptic integral, Single event upset, Microdosimetry.

Topics: DTIC Archive, Langworthy, James B, NAVAL RESEARCH LAB WASHINGTON DC, *NUMERICAL METHODS AND...

The finite element method has three versions: the h-version, the p-version and the h-p version. In the h-version, increased accuracy is achieved by decreasing the mesh size h while keeping p, the degree of elements used fixed (usually p = 1,2,3). Int he p-version, a fixed mesh is used while the degree p of elements are either uniformly or selectively increased to achieve accuracy. The h-p version is a combination of both. The standard h-version has been thoroughly investigated and many...

Topics: DTIC Archive, MARYLAND UNIV BALTIMORE COUNTY CATONSVILLE DEPT OF MATHEMATICS, *FINITE ELEMENT...

The research project emphasized solving Elliptic-Parabolic Problems. Topics of special interest were: The extension of the basic theory of classical iterative methods; and The study of multigrid methods. This report summarizes progress in these areas to date. (Author)

Topics: DTIC Archive, Parter,S V, WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES, *GRIDS, *ITERATIONS,...