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Topic: Spline (device)

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Spline (mathematics)

Polynomial

Logarithm

Natural logarithm

Number

Analysis of algorithms

Cubic equation

Big O notation

Complex number

Binary logarithm

Fraction (mathematics)

Real number

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Fundamental theorem of algebra

Irrational number

	Spline (device) - Wikipedia, the free encyclopedia
		A spline consists of a long strip of wood (a lath, not to be confused with lathe) fixed in position at a number of points.
		Spline devices help bend the wood for pianos, violins, violas, etc. The Wright brothers used one to shape the wings of their aircraft.
		For instance, a gear mounted on a shaft might use a male spline on the shaft that matches the female spline on the gear.
	en.wikipedia.org /wiki/Spline_(device) (261 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		According to claim 1, the device for lubrication of a gear according to the invention comprises a first gearwheel in engagement with a second gearwheel, the teeth of the first gearwheel having an axial extent longer than the entire axial extent of the teeth of the second gearwheel.
		The device as claimed in preceding claims, characterized in that the tooth tips of the gear element with the smaller inside diameter constitute a relatively small part of the total axial extent of the teeth of the gear element.
		The device as claimed in any one of the preceding claims, characterized in that the spaces between all the tooth roots of the first gearwheel and the tooth tips of the gear element each constitute a lubricant duct (429,629, 729,829).
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=04/106778.041209&ELEMENT_SET=DECL (1997 words)

	Splines
		To accomplish this, the spline was forced to pass through the points by adjusting the ducks along the rod.
		Splines consist of data points (knots), where the function is laid through, and break points, which divide the pieces of polynomial functions.
		For example, splines have been proven useful to interpolate climatic data such as mean annual rainfall or temperature, but also to generate digital elevation models where it is necessary to interpolate large areas quickly and efficiently.
	sun1.giac.montana.edu /geog501/lowres/splines.htm (333 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Most of these devices are corded, that is, they include a power cord that extends from the housing of the device to a source of electricity, or they include a pneumatic cord that extends from the housing of the device to a source of pressurized gas (typically nitrogen).
		Motorized medical devices provide tremendous advantages in the treatment and repair of many medical conditions, but are typically limited in their capability of repeated use and in the inability or complexity of sterilizing the device between uses.
		A device according to the present invention may also include structures that are configured for and/or are adapted to permit access to the device structure suitable for enclosing the non-sterile component.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/67970.010920&ELEMENT_SET=DECL (10263 words)

	spline(n) manual page
		The spline command computes a spline fitting a set of data points (x and y vectors) and produces a vector of the interpolated images (y-coordinates) at a given set of x-coordinates.
		A spline is a device used in drafting to produce smoothed curves.
		The points of the curve, known as knots, are fixed and the spline, typically a thin strip of wood or metal, is bent around the knots to create the smoothed curve.
	www.math.temple.edu /doc/packages/blt/html/spline.html (932 words)

	Tightening latching device - Patent 5452925
		Said spline assembly 4 is a one-piece component fabricated by molding, consisting of a housing slot 41 and positioning plate 42, wherein said spline assembly 4 is equipped with a stopping rod 43 at an appropriate position.
		As of conventional metal tightening latching devices, it is not uncommon to find that the latch is gripped between the two round plates of said tightening protruding roller as said tightening protruding roller is being turned with a wrench, resulting in a great deal of efforts being needed to accomplish said task.
		The tightening latching device pertaining to the present invention is free from problems, such as the protruding knob of the tightening protruding roller not being able to be governed by the protruding pieces on said latch and the tightening protruding roller being damaged when too great of a force is applied.
	www.freepatentsonline.com /5452925.html (2035 words)

	Spline interpolation: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-10-21)
		The spline of degree n which interpolates the same data set is not uniquely defined and we have to fill in n-1 additional degrees of freedom degrees of freedom quick summary:
		The natural cubic spline is approximately the same curve as created by the spline device[For more facts and a topic of this subject, click this link].
		In the mathematical subfield of numerical analysis a cubic hermite spline, named in honor of charles hermite (pronounced air meet), is a third-degree spline...
	www.absoluteastronomy.com /encyclopedia/s/sp/spline_interpolation.htm (1142 words)

	CASRIP Newsletter
		Evidence showed that a multiple chamber cylinder ampoule apparatus and the use of a thread mechanism in an injection device were publicly known as of the time of the priority date of the patented invention.
		In contrast, evidence clearly indicated that the ampoule of the accused device was held in the horizontal position or upward position in preparing the solution.
		Eli Lilly's injection device could have been used for preparing injection solution regardless of whether the ampoule was in the vertical position or the horizontal position.
	www.law.washington.edu /casrip/Newsletter/Vol6/newsv6i1jp1.html (2640 words)

	CASRIP Newsletter
		The appellee alleged that the accused device falls within the technical scope of this invention because the appellant's device had infringed this invention litera lly or under the doctrine of equivalents.
		In contrast, in the appellant's device, three discrete members, including the upper part of the protruding portions in the loaded ball guide grooves provided on the outer tube, plate members 11 and a pair of return caps 31, cooperate together to provide the functions of the holder of this invention as discussed above.
		Regarding the structure of the holder recited as the element B, the court found that the structure adopted by the appellant was interchangeable with the structure of this invention, and that one skilled in the art would have known the interchangeability as of the application date of this patent.
	www.law.washington.edu /CASRIP/Newsletter/Vol5/newsv5i1jp1.html (3126 words)

	Glossary (Site not responding. Last check: 2007-10-21)
		Attachment to the motor is usually by a snap fitting on a spline drive, and driving force transmitted to the tube by spline grooves or screws through the tube.
		Device used to measure the angle of a sloped surface such as a roof etc. Usually measures in degrees, but also can be graduated in slope (see definition of slope)
		A device used to generate a counter force to a roller tube shade when it is unwound.
	www.acurol.com /glossary.htm (1144 words)

	About the Boston Scleral Lens Prosthetic Device
		This fluid reservoir also functions as a unique liquid bandage that protects the corneal surface from the desiccating effects of exposure to air and the friction of blinking and significantly reduces the intensity of ocular pain and photophobia associated with ocular surface disease and facilitates the healing of persistent epithelial defects.
		The potential for the BSL device to improve vision should be assessed by refracting over a large hard corneal contact lens that is adequately centered for this purpose.
		Because this device is not supported by the central cornea, it maintains its centration and stability regardless of the corneal topography.
	www.bostonsight.org /aboutlens.htm (1450 words)

	Boston Foundation for Sight
		This device is the first fluid-ventilated gas-permeable scleral lens that maintains an oxygenated aqueous corneal environment free of air bubbles.
		The bearing surface of the peripheral zone (haptic) is defined by spline functions that offer unequalled flexibility for creating seamless, non-conic shapes needed to achieve a more precise relationship with the underlying sclera to avoid occluding the channels or allow the intrusion of air bubbles.
		Another unique feature of this device is the transitional zone, itself a flexible and elastic spline, that can be elongated or compressed to raise or lower the optic in micron increments while maintaining a smooth transition between the optic and haptic.
	www.bostonsight.org /lens2.htm (405 words)

	Imaging On-Line Store
		Whereas color devices were once modeled with extensive measurement, look-up tables and trilinear interpolation, recent improvements in hardware have made B-spline models an affordable alternative.
		Inversion of the device model can then be carried out consistently and efficiently, as the spline model is well behaved and its derivatives easily computed.
		Using data from several color devices, this paper examines the use of B-splines as a generic tool for modeling devices and mapping one gamut to another, and concludes with applications to high-dimensional and spectral data.
	www.imaging.org /store/epub.cfm?abstrid=22493 (225 words)

	[Cairo] Color transforms (Site not responding. Last check: 2007-10-21)
		One nice thing about taking care of tasks like this in the device-independent piece is that we can have better guarantees of matching output on different devices, (especially when some backend devices have shortcomings in their own implementations of similar algorithms).
		But on every interpreter I've tried the cusp of the wide spline is incorrect by several pixels, (4 long straight line segments are noticeable on the contour).
		What occurred to me today is that the efficient algorithm for spline stroking could probably also be applied to the case of straight lines with round joins.
	lists.freedesktop.org /archives/cairo/2003-July/000210.html (420 words)

	An SM Tutorial
		This fits a spline function to a previously defined pair of vectors, and evaluates it at the points given in a third vector, to produce a fourth vector for you.
		There are a number of other commands that elaborate on this basic set to allow logarithmic axes, labelling curves, putting an ID on the plot, reading positions from the plot with a cursor, manipulating 2-D data, and much more.
		We have defined many device types, so hopefully the one you need is already in the default file.
	www.astro.princeton.edu /~rhl/sm/tutorial.html (4128 words)

	[No title]
		Splines are a way of drawing curves -- specifically, drawing a curve through any set of _points_ that you choose; for example, a curve that starts at (0,0), goes over to (100,50), then loops back to (50,0), and continues on through any number of points can be drawn just by specifying the points.
		Given a spline S1(t) = P0(1-t)^2 + 2P1t(1-t) + P2t^2 the derivative at t=1 is given by S1' = 2(P2 - P1) P2-P1 is simply the line segment running from P1 to P2, which verifies what was said earlier: at P2 the curve is tangent to a line drawn from P1 to P2.
		One spline per point may sound like a lot, but there are a lot of pixels in-between each pair of points, and more importantly these are quadratic splines and hence can be made to go very, very fast.
	www.ffd2.com /fridge/chacking/c=hacking20.txt (17278 words)

	Argyll Overview
		In the device independent mode, test points are distributed so as to minimize the distance from any point in the device space to the nearest test chart value.
		When the device dependent approach is used, test points are chosen so as to minimize the expected error between the resulting profile and the underlying device response.
		Regular splines are not directly related to other types of splines, and do not generally suffer from the sort of "wiggles" and "overshoot" characteristic of other spline systems.
	www.argyllcms.com /doc/Source.html (1066 words)

	Concept to Reality
		The spline configuration was envisioned to be retracted during cruise flight and deployed only for landing, when the vortex hazard was greatest.
		After extensive parameter variations in the VRF and in-flight assessments with the C-54 as a generating aircraft and a Piper PA-28 general aviation aircraft as a probe aircraft, the researchers concluded that the spline device was effective in reducing the strength of the trailing vortex.
		The vortex attenuation achieved in flight was greater than that obtained in the VRF, and the researchers anticipated that the installation of stowable spline devices on commercial jet aircraft would avoid the obvious penalties in climb capability in the landing phase of flight and increased approach noise due to increased power settings.
	oea.larc.nasa.gov /PAIS/Concept2Reality/wake_vortex.html (8008 words)

	[No title]
		It normally uses either cubic spline interpolation or exponential splines in tension, but like `graph' it can function as a real-time filter under some circumstances.
		If it is "no" then the device will use a fixed set of colored pens, and will emulate other colors by shading.
		The default is "no" because monochrome PCL 5 devices, which are more common than colored ones, must use shading to emulate color.
	www.phys.ufl.edu /~coldwell/gplot/lgplot/plotutils.info (21101 words)

	MERL – Diamond Park
		Spline (Scalable Platform for Interactive Environments) makes it easy to build virtual worlds where multiple people interact with each other and computer simulations in a 3D visual and audio environment.
		Spline performs all the processing necessary to maintain a distributed, modifiable, and extendable model of a virtual world that is shared between the participants.
		A PC version of Spline is being implemented that will make it possible to support applications like Diamond Park on PCs.
	www.merl.com /projects/dp (542 words)

	The Utility Packages
		Enhances the Interpolator class with the TCB (Kochanek-Bartels) spline interpolation.
		Extends: AudioEngine Implements: AudioDevice3D Defines an audio output device that generates sound "image" from high-level sound parameters passed to it while the scene graph is active.
		Extends: KBSplinePathInterpolator Defines a behavior that varies the rotational, translational, and scale components of its target TransformGroup by using the Kochanek-Bartels cubic spline interpolation to interpolate among a series of key frames (using the value generated by the specified Alpha object).
	java.sun.com /products/java-media/3D/forDevelopers/J3D_1_2_API/j3dguide/AppendixUtilities.html (2258 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		PRO spline_smooth,X,Y,Yerr,distance,coefficients,smoothness,xplot,yplot,TEXTOUT=textout,XTITLE=xtitle,YTITLE=ytitle, INTERP=interp,SILENT=silent,PLOT=plot,ERRBAR=errbar ;+NAME: ; SPLINE_SMOOTH ; ; PURPOSE: ; ; Construct cubic smoothing spline (or give regression solution) to given ; data with minimum "roughness" (measured by the energy in the second ; derivatives) whilst restricting the weighted mean square distance ; of the approximation from the data.
		The results may be written to ; the screen or a file or both and are optionally returned in the ; parameters.
		; yplot - vector of evaluated spline ordinates.
	www.pa.msu.edu /courses/2004spring/AST802/Bobs_Idl_Pros/Astronomy/math/spline_smooth.pro (321 words)

	The Plotutils Package
		The default is "no" because monochrome PCL 5 devices, which are much more common than colored ones, must use shading to emulate color.
		Arcs, polygonal lines, and spline may be equipped with arrowheads.
		Objects are usually positioned not by specifying their positions in absolute coordinates, but rather by specifying their positions relative to other, previously drawn objects.
	www.gnu.org /software/plotutils/manual/html_mono/plotutils.html (15376 words)

	IDL Help
		; INTERVAL: The spline interpolation interval, in normalized ; units.
		; DEVICE: If set, X and Y are in device coordinates.
		; ; SIDE EFFECTS: ; Draws objects on current graphics device.
	www.astro.washington.edu /deutsch-bin/getpro/library07.html?WF_DRAW (382 words)

	(WO 2004/106778) DEVICE FOR LUBRICATION OF A GEAR (Site not responding. Last check: 2007-10-21)
		(57) Device for lubrication of a gear, comprising a first gearwheel (402, 602, 702) in engagement with a second gearwheel (404), the teeth of the first gearwheel having an axial extent longer than the entire axial extent of the teeth of the second gearwheel.
		A first tooth surface of the first gearwheel is in engagement with the teeth of the second gearwheel.
		A second tooth surface of the first gearwheel (402, 602, 702) constitutes a part in a spline joint together with corresponding internal teeth of a gear element (423, 623, 723, 823).
	wipo.int /cgi-pct/guest/getbykey5?KEY=04/106778.041209&ELEMENT_SET=DECL (249 words)

	SM - Command Reference
		When you specify a device the previous device is closed, which may lead to some action being taken (for example, sending a plot to a printer).
		devices an argument that is not specifically processed by the device is taken to be the name of a file to save the plot in.
		Because of the way that SM interrogates devices about their abilities, while using META all ltypes, lweights, and fonts will be emulated in software (this guarantees that the device you playback on will be able to handle the code).
	aries.phys.yorku.ca /~curtis/sm/sm_22.html (15542 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Placed flush with the vertebra, requiring the device shells to have a degree of curvature (likely to be a second degree spline).
		Must maintain the dynamic ability for: The Superior Plate to retain 5 degrees of kinematic freedom with respect to the Inferior Plate using a ball-bearing like joint connecting the two plates and maintaining a specified position, corresponding to a function of the center of geometry.
		Preparation of Device for Fabrication: To be chosen from amongst the following options Design device without prior design input.
	www.stanford.edu /class/me331b/docs2006/AndyMoskowitzTasks.doc (295 words)

	B-Spline models fit to a fly wing.
		Thanks to a simple suction device inspired by Ken Weber, we can handle live flies with no harm coming to them.
		The wing-handling device and the general approach to feature extraction may be of interest to those working on other insect systems.
		We use FINDWING in combination with S-Plus scripts to automate both the splining and the checking and editing of the data.
	bio.fsu.edu /~dhoule/Software (564 words)

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