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Topic: Curvilinear


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In the News (Fri 1 Jun 12)

  
  Curvilinear coordinates - Wikipedia, the free encyclopedia
Curvilinear coordinates are a coordinate system based on some transformation of the standard coordinate system.
(r, θ) are the curvilinear coordinates, and the Jacobian determinant of the transformation (r,θ) → (r cos θ, r sin θ) is r.
Since we use curvilinear coordinates to aid in the calculation in vector calculus, there are adjustments we need to make in the calculation of line, surface and volume integrals.
en.wikipedia.org /wiki/Curvilinear_coordinates   (610 words)

  
 Skateboard body with curvilinear transverse cross section - Patent 4196916
In preferred embodiments of the invention, the curvilinear transverse cross section is symmetric along the longitudinal centerline of the skateboard body and extends longitudinally along part of, or the entire length of the skateboard body.
In preferred embodiments, the curvilinear transverse cross section is symmetric along the longitudinal centerline of the skateboard body and extends longitudinally along part of, or the entire length of the skateboard body.
In alternate embodiments of the invention the curvilinear transverse cross section is approximated by a plurality of linear cross section segments.
www.freepatentsonline.com /4196916.html   (3505 words)

  
 Apparatus and method for constructing adjustable curvilinear concrete forms - Patent 4185805
A form having a selectively adjustable curvilinear surface is provided by securing a flexible connection plate to the rear side of a flexible form panel and clamping the plate to a rigid waler to lock the panel in the desired curvilinear configuration.
The present invention relates to an adjustable form for forming curvilinear concrete surfaces and is especially concerned with an improved waler which provides for selective adjustment of a flexible form panel to a desired curvilinear shape.
The present invention is concerned with an apparatus and method wherein a flexible waler construction is employed which accommodates select adjustment of the curvilinear shape of a flexible form panel supported thereby and the locking of the panel in the adjusted curvilinear shape.
www.freepatentsonline.com /4185805.html   (2983 words)

  
 The modern abstract curvilinear paintings of Alton S. Tobey
The next stage of his curvilinear paintings involved the development of three dimensionsal effects on his working surfaces, created with painted strings, wires, metallic elements and found objects, rendered to appear to be totally metallic.
Although Tobey intended each piece to be something specific - often reflected in the title of the work - he and the paintings themselves encourage viewers to find their own meaning in each work, and to enjoy it in their own way, rather than holding to his own personal intentions as an artist.
In his later Curvilinear works, small realistic images emerge in the backgrounds of the paintings, integrating the subjective observers into his own personal relationships with his abstracted figurative and suggestive realities.
www.altontobey.com /testcurv.html   (490 words)

  
 Froebel Gifts Curvilinear Page   (Site not responding. Last check: 2007-10-17)
The use of the Curvilinear Gifts were championed in the United States by Belle Woodson, an instructor at the Chicago Kindergarten College and by Minnie Maud Glidden, a kindergartner and instructor at the Pratt Institute.
Whether the Curvilinear Series were widely used is not yet clear, but they definitely add a wonderful dimension to block play and all its Froebelian aspects.
The introduction of the Curvilinear series came long after Frank Lloyd Wright had left the nursery, but he was known to use the Gifts as a scratch pad for designs.
www.froebelgifts.com /curvilinear.htm   (548 words)

  
 ED230B/C: Curvilinear Regression
Contrary to how it sounds, curvilinear regression uses a linear model to fit a curved line to data points.
Curvilinear regression makes use of various transformations of variables to achieve its fit.
Curvilinear regression should not be confused with nonlinear regression (NL).
www.gseis.ucla.edu /courses/ed230bc1/notes3/curve.html   (965 words)

  
 Curvilinear Component Analysis
Curvilinear Distance Analysis (CDA in short) is the last development in a well known family of nonlinear projection methods.
Curvilinear Distance Analysis (CDA) lies one step beyond: the main difference between CCA and CDA is that the latter uses a special kind of distance measurement called Curvilinear Distances.
In practice, the curvilinear distance is computed as the shortest path between two prototypes of the codebook, after quantization and linking of the prototypes.
www.dice.ucl.ac.be /neural-nets/Research/CDA/CDA.htm   (668 words)

  
 Curvilinear Arrays
Recently, the sound reinforcement profession has exhibited considerable interest in new implementations of the venerable line array concept, and in these implementations the array is often curved (in some instances quite radically) to accommodate coverage requirements.
As its name suggests, the M2D is designed specifically for implementing vertical curvilinear arrays of up to 12 cabinets having 0° to 7° splay between adjacent units.
Figure 4 shows the directional radiation pattern of a curved array (5° splay between cabinets) of six M2Ds at 500 Hz, with three measurement microphone positions designated A, B and C. Figures 5, 6 and 7 show the far field frequency response (one-third octave resolution) at each of these positions.
www.meyersound.com /support/papers/curvilinear/index.htm   (581 words)

  
 The Waveguide Mesh in General Curvilinear Coordinates
A generalization of the waveguide mesh to arbitrary curvilinear coordinates is useful in that it becomes possible to model boundary conditions which may not be simply aligned with a rectilinear grid.
The resulting structure is quite similar to the interleaved forms discussed earlier, and for this reason we will give only a brief description of the coordinate transformation procedure.
Figure 4.34: (2+1)D DWN for the parallel-plate system (4.98) in general non-orthogonal curvilinear coordinates.
ccrma-www.stanford.edu /~bilbao/master/node131.html   (756 words)

  
 Curvi.com - Curvilinear for room panelling and decorative antiques.
Curvilinear create and supply room panelling, wood paneling, decorative antiques, custom furniture and more.
interior room paneling, decorative antiques, custom furniture, Curvilinear's speciality is the restructuring of antique components into furniture that meets the needs of today.
Curvilinear is a family run business with over 30 years experience.
www.curvi.com   (270 words)

  
 All Elementary Mathematics - Study Guide - Principles of analysis - Definite integral. Newton - Leibniz formula...
The figure, bounded by a graph of this function, a segment [a, b] and straight lines x = a and x = b, is called a curvilinear trapezoid.
], and F – its primitive on this segment, then an area S of the corresponding curvilinear trapezoid is equal to an increment of the primitive on a segment [ a, b ], i.e.
b, then S (x) is an area of the part of the curvilinear trapezoid, which is placed on the left of a vertical straight line, going through the point (x, 0).
www.bymath.com /studyguide/ana/sec/ana11.htm   (521 words)

  
 Derivation of the Singular Integral Equations for Curvilinear Cracks with Computer Algebra Software -- from Mathematica ...
The classical Cauchy-type complex singular integral equation for the general curvilinear crack problem in plane isotropic elasticity is rederived by using an appropriate computer procedure, based on the Mathematica computer algebra system.
Both cases of one crack (or a system of cracks) and of a periodic array of cracks are considered in detail and the Mathematica procedure is displayed.
The subsequent use of a numerical algorithm for the solution of the derived complex singular integral equation is also possible.
library.wolfram.com /infocenter/Articles/2753   (192 words)

  
 Curvilinear Coordinates -- from Wolfram MathWorld
If the intersections are all at right angles, then the curvilinear coordinates are said to form an
Curvilinear coordinates are defined as those with a
Byerly, W. "Orthogonal Curvilinear Coördinates." §130 in An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics.
mathworld.wolfram.com /CurvilinearCoordinates.html   (142 words)

  
 [CF-metadata] CF-1.0-beta5: curvilinear bounds "contiguous" attribute
In some cases it was necessary to make assumptions about the connectivity of the grid which need not always hold.
This is not meant as criticism of the current standard, but to reinforce your point.
For rectilinear grids this is usually coincident with the endpoints of the longitude axis, but not so for curvilinear grids.
www.cgd.ucar.edu /pipermail/cf-metadata/2003/000097.html   (1009 words)

  
 Orthogonal Coordinate System -- from Wolfram MathWorld
An orthogonal coordinate system is a system of curvilinear coordinates in which each family of surfaces
Planar orthogonal curvilinear coordinate systems of degree two or less include two-dimensional Cartesian coordinates and polar coordinates.
Three-dimensional orthogonal curvilinear coordinate systems of degree two or less include bipolar cylindrical coordinates, bispherical coordinates, three-dimensional Cartesian coordinates, confocal ellipsoidal coordinates, confocal paraboloidal coordinates, conical coordinates, cyclidic coordinates, cylindrical coordinates, ellipsoidal coordinates, elliptic cylindrical coordinates, oblate spheroidal coordinates, parabolic coordinates, parabolic cylindrical coordinates, paraboloidal coordinates, prolate spheroidal coordinates, spherical coordinates, and toroidal coordinates.
mathworld.wolfram.com /OrthogonalCoordinateSystem.html   (345 words)

  
 M2D : Compact Curvilinear Array
The M2D is designed specifically for vertical curvilinear arrays of up to 16 cabinets having 0- to 7-degree splay between adjacent units.
Pioneered by Meyer Sound in the early 1980s, horizontal curvilinear arrays composed of trapezoidal cabinets have been an industry standard for decades.
The M2D extends the concept to vertical arraying, enabling flexibility to tailor vertical coverage by varying the number and splay of cabinets in the array while maintaining a constant 90 degrees of horizontal coverage.
www.meyersound.com /mseries/m2d   (266 words)

  
 Froebel Foundation USA-Curvilinear Gift
Today's Curvilinear Gift is a slight modification from the cylinder sold by the Milton Bradley Company.
The cylinder is divided into three concentric rings 1/2" thick as he did, but only 3 layers vertically instead of four.
This can also be imaginative creations like an igloo, a castle, or three chairs (illustration) for the story of Goldilocks and the Three Bears.
www.froebelfoundation.org /giftcurvff.html   (553 words)

  
 Closed curve and orthogonal curvilinear coordinate system
These two curves are orthogonal and so the curvilinear coordinate system is orthogonal.
Suppose that we like to use a set of curvilinear coordinate system (plane x-y only) which is orthogonal.
Curvilinear coordinates means that there is a transformation of the type
www.physicsforums.com /showthread.php?t=115302   (813 words)

  
 [No title]
Curvilinear: Easy Learning Plane Analytic Geometry An Intuitively-Easy-To-Use visual interactive software, oriented to overcome the abstraction that exists in the Plane Analytic Geometry (PAG), this is a tool that makes it easy to master PAG.
Using Curvilinear as a tool to learn PAG while solving problems is not only effective, it is also amusing and rewarding, Curvilinear is a tool with which hundreds of problems can be solved very quickly once and again, until the subject is understood.
Curvilinear processes the (x,y) coordinates entered by the user by either of two methods: mouse or keyboard.
www.geocities.com /virtualdynamicssoft/padfiles/curvilinear_pad.xml   (324 words)

  
 ArtLex's Cp-Cz page
Or, to make something curve, such as when a straight piece of wire is made to be curved.
anti-aliased, circle, cone, curvilinear, cylinder, ellipse, French curve, helix, mandala, meander, oblong, organic, oval, ovoid, parabola, radial, sphere, tangent, tondo, and volute.
Elements of late Gothic and Art Nouveau ornament are examples of curvilinear treatment of form.
www.artlex.com /ArtLex/Cp.html   (4203 words)

  
 Belt Driven Slides feature HTD curvilinear belt drive., Techno Isel Div. of Designa
Features include HTD timing belt drive with curvilinear profile for positive, non-slip operation and protective plate over carriage and belt that keeps out dirt and debris.
Of special interest is the HTD timing belt drive which features a deep curvilinear profile for more positive non-slip operation and reduced backlash when compared with the conventional trapezoidal tooth profile.
This provides greater shear strength and smaller unit pressure per tooth since the area of contact is greater.
news.thomasnet.com /fullstory/25726/1424   (479 words)

  
 David J. Marks Jigs & Fixtures for Curvilinear Woodworking DVD
Jigs & Fixtures for Curvilinear Woodworking DVD by David Marks for sale $29.95.
A favorite topic among his fans is his slideshow “Jigs and Fixtures for Curvilinear Woodworking”.
He demonstrates the use of specialized jigs, fixtures, and techniques that were used to create this masterpiece.
www.djmarks.com /curvilineardvd.asp   (189 words)

  
 NCL Documentation: Description of Gaussian, fixed, fixed offset, regular, curvilinear grids
A Gaussian grid is one where each grid point can be uniquely accessed by one-dimensional latitude and longitude arrays (i.e.
Curvilinear grids refer to grids where grid pints cannot be uniquely accessed by a pair of one-dimensional coordinate arrays.
These grids require a pair of two-dimensional arrays to describe grid point locations.
www.ncl.ucar.edu /Document/Functions/sphpk_grids.shtml   (308 words)

  
 Magnetostrictive Sensors provide curvilinear measurement., MTS Systems Corp.
Magnetostrictive Sensors provide curvilinear measurement., MTS Systems Corp.
Featuring a new face and side sealing on the core plastic housing, the Flexible C-Series provides a greater versatility in installation options such as rotating shafts, balances, steering assemblies and other applications where less than 270 degrees of rotation needs to be monitored.
The C-Series' modular architecture is built upon a base Core sensor to which additional application-specific features can be added as dictated by the application.
news.thomasnet.com /fullstory/473159/rss   (1007 words)

  
 Parameterized Curvilinear Locomotion Generation   (Site not responding. Last check: 2007-10-17)
Therefore we have constructed a database of walking and running motion cycle, with different curvature angle, speed and style.
Automatic parameter extraction of the curvilinear motion cycles in the database (curvature angle, speed,...)
Implement a method to generate transition from straight line to curvilinear motions.
ligwww.epfl.ch /~pglardon/projects/curvilinear.html   (184 words)

  
 Wavelets over Curvilinear Grids
We develop multiresolution models for analyzing and visualizing two- dimensional flows over curvilinear grids.
Our models are based upon nested spaces of piecewise defined functions defined over nested curvilinear grid domains.
Next, using lifting techniques we develop and show examples of piecewise linear wavelets over curvilinear grids.
csdl2.computer.org /comp/proceedings/vis/1998/9176/00/91760313abs.htm   (136 words)

  
 [CF-metadata] CF-1.0-beta5: curvilinear bounds "contiguous" attribute
>> >> > >I recently spent a fair amount of time adding CF-style curvilinear and general grids >into CDAT, so have an appreciation for the importance of this point.
What follows should be considered as >>a separate discussion.
CF-1.0-beta5 encodes curvilinear coordinate bounds using >>n*m*nv instead of n*m*2*2.
www.cgd.ucar.edu /pipermail/cf-metadata/2003/000098.html   (1020 words)

  
 Curvilinear - LoveToKnow 1911   (Site not responding. Last check: 2007-10-17)
Read LoveToKnow 1911:Explanation to get more explanation and see how you can help!
CURVILINEAR, in architecture, that which is formed by curved or flowing lines; the roofs over the domes and vaults of the Byzantine churches were generally curvilinear.
The term is also given to the flowing tracery of the Decorated and the Flamboyant styles.
www.1911encyclopedia.org /Curvilinear   (77 words)

  
 Curious Celtic Collection. Insular British Art. Celtic curvilinear art and Sutton Hoo. Cards. Iron pots. Silver ...
The base is decorated with four roundels and has an etched spiral background.
These original designs are mounted into white textured cards which look great framed.
Curvilinear, or Insular British Art, is a very beautiful and distinctive form
www.sharpe-designs.com /curious%20celtic%20collection.htm   (355 words)

  
 Interactive Direct Volume Rendering Of Curvilinear And Unstructured Data - Williams (ResearchIndex)   (Site not responding. Last check: 2007-10-17)
Interactive Direct Volume Rendering Of Curvilinear And Unstructured Data (1992)
Williams, P. Interactive Direct Volume Rendering of Curvilinear and Unstructured Data.
29 Direct Volume Rendering of Curvilinear Volumes - WILHELMS, CHALLINGER et al.
citeseer.ist.psu.edu /williams92interactive.html   (1664 words)

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