
	Where results make sense

Topic: Kappa curve

Related Topics

Isaac Barrow

In the News (Sun 27 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	2004 Saturn Curve - Images, Information, Specifications, History, Ratings, and Reviews.
		A curved wood center console is the interior’s dominant feature and is attached to the dashboard via a tongue-and-groove joint.
		The back-lit glow that permeates the interior affects mood in the Curve’s interior, but also has a safety use: When the doors are opened, the lighting on the door panels changes to an orange-red hue to act as a warning light, eliminating the need for a reflector.
		CURVE is loaded with interesting details that emphasize its contemporary design aesthetics while staying true to its sports car roots.
	www.conceptcarz.com /vehicle/default.aspx?carID=7776 (1209 words)

	Xah: Special Plane Curves: Naming and Classification of Curves
		All the curves covered here are such that when you keep magnifying parts of the curve, it'll eventually looks like a line, unless you are magnifying a cusp point.
		It's a curve that, connects two given points such that it takes the same amount of time for a particle to slide from any point on the curve to the lower point, under ideal physical law.
		Isoptic of a given curve C and a given angle α is the locus of a point P such that P is the intersection of tangents of C that meets in angle α.
	xahlee.org /SpecialPlaneCurves_dir/Intro_dir/familyIndex.html (1043 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Papanicolaou interpreted $H(\kappa)$ as a Hill operator, that is, he took $\kappa(s)$ as a periodic function with integral $2 \pi$, disregarding whether it is the curvature function of a closed curve.
		If $\kappa(s)$ is a constant, then the curve is a circle (with $\kappa = 2 \pi$), and it is an elementary observation that the first two eigenvalues are $- 4 \pi^2$ and 0 (degenerate).
		This seems to be within reach for the case of a planar curve, where the topology is given by the winding number, and we believe that for winding number n there are at least $2n$ negative eigenvalues, except in the case of a (multiply traversed) circle.
	www.ma.utexas.edu /mp_arc/papers/97-276 (2474 words)

	Kappa (letter) - Wikipedia, the free encyclopedia
		Kappa (upper case Κ, lower case κ) is the tenth letter of the Greek alphabet.
		In the system of Greek numerals it has a value of 20.
		In mathematics, the kappa curve is named after this letter; the tangents of this curve were first calculated by Barrow (17th Century).
	en.wikipedia.org /wiki/Kappa_(letter) (140 words)

	Rudy Rucker's KappaTau Space Curve Paper (Site not responding. Last check: 2007-10-09)
		From the viewpoint of a point moving along the curve, the curvature is said to be positive when the curve bends to the left, and negative when the curve bends to the right.
		The curve is marked off in units of "arclength", where arclength is the distance measured along the curve, just as if the curve were a piece of rope that you could stretch out next to a ruler.
		Conway makes the anthropological conjecture that every time a mathematician discovers a curve that he or she thinks might be the true baseball curve, the curve is a different one.
	www.mathcs.sjsu.edu /faculty/rucker/kaptaudoc/ktpaper.htm (3020 words)

	kappa curve (Site not responding. Last check: 2007-10-09)
		Another name for the curve is Gutschoven's curve, named after the first one who studied the curve, being G.
		The curve is the radial of the tractrix.
		The curve is a special case of a nodal curve.
	www.2dcurves.com /quartic/quartick.html (63 words)

	Curve (Site not responding. Last check: 2007-10-09)
		This definition of curve captures our intuitive notion of a curve as a connected, smooth figure that is "like" a line; although it also includes figures that are not called curves in common usage.
		For example, a mathematical curve can have any number of "kinks" or corners, since these have no effect on whether or not the resulting figure can be "stretched" and smoothed into a straight line; this is roughly the meaning of "can be continuously mapped".
		Curves can be open (for example, a parabola) or closed (like a square).
	www.city-search.org /cu/curve.html (508 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		These functions are quite useful for the study of generic properties of invariants of the extrinsic affine differential geometry on convex plane curves.
		Affine invariant functions \par \par In this section we introduce two different families of functions on a non-degenerate space curve which are useful for the study of the equi-affine invariants of the curve.
		Equi-affine invariants of space curves \par \par By the propositions in the last section, we can recognize that the function $\tau _a(s)-\kappa _a'(s)$ and the direction $\kappa _a(s)\gamma '(s)+\gamma '''(s)$ have special meanings.
	home.imf.au.dk /esn/preprints/057 (2522 words)

	[No title]
		Furthermore, $ \kappa (\cdot)$ is the curvature of $\Gamma$.
		A self-similar curve such as a broken line consisting of two halflines joined at a point provides an example of a situation where the asymptotic behaviour differs from that of Theorem~\ref{evloop}.
		The cases of a single connected periodic curve or a periodic surface diffeomorphic to the plane are open, and the same is true for periodic curve(s) in $\mathbb{R}^3$, i.e.
	www.ma.utexas.edu /mp_arc/papers/03-110 (5766 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		However, by a sequence of such deformations, the curve can be moved to the boundary of that ball, where \begin_inset Formula $n$ \end_inset is clearly \begin_inset Formula $\pm 1$ \end_inset, the sign depending upon the orientation.
		For one thing, the curvature of a space curve is always positive (for a plane curve considered as a space curve, the space-curve curvature is simply the absolute value of its plane-curve curvature).
		As with curves in three-space, \begin_inset Formula $\mathbf{e}_{2}'$ \end_inset is not precisely the `torsion' term, as there is a part of that derivative that simply reflects the first curvature, from the part of \begin_inset Formula $\mathbf{e}_{2}'$ \end_inset which is in the plane of \begin_inset Formula $\{\mathbf{e}_{1},\mathbf{e}_{2}\}$ \end_inset.
	www.lehigh.edu /~dlj0/courses/424sp03-1.lyx (2996 words)

	Richard Nakka's Experimental Rocketry Site
		During the development phase, the Kappa motor was static test fired a total of four times, and was subsequently used to propel the Cirrus One rocket to an altitude of over 10,000 feet, in April 2001.
		The Kappa motor is equipped with a convergent-divergent supersonic nozzle, detailed in Figures 4 and 5.
		The reason for the odd thrust curve is speculated to be a result of negative erosive burning.
	members.aol.com /kappadx/kappa.html (3417 words)

	Isaac Barrow biography .ms (Site not responding. Last check: 2007-10-09)
		The most celebrated of these is the method given for the determination of tangents to curves, and this is sufficiently important to require a detailed notice, because it illustrates the way in which Barrow, Hudde and Sluze were working on the lines suggested by Fermat towards the methods of the differential calculus.
		Fermat had observed that the tangent at a point P on a curve was determined if one other point besides P on it were known; hence, if the length of the subtangent MT could be found (thus determining the point T), then the line TP would be the required tangent.
		Substituting the co-ordinates of Q in the equation of the curve, and neglecting the squares and higher powers of e and a as compared with their first powers, he obtained e : a.
	isaac-barrow.biography.ms (1052 words)

	Precision Optical Machine - Edgers
		The Kappa automatically positions the stylus in the frame and traces both eyes in less than 20 seconds, at the same time determining the frame DBL.
		In the Kappa Edger, probes map the contours of both surfaces to determine lens curve, edge thickness and to calculate ideal bevel or groove placement.
		Kappa uses advanced grooving design and computer control to precisely locate grooves on very thin lenses.
	www.pomonline.com /edgers.html (987 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Moreover, as in the case of plane curves, condition (\ref{1.0}) is induced by (\ref{cond 1}).
		For generic \mbox{$\lambda \neq 0$}, the projective closure $C_{2p}$ of the curve $$ F(x,y)=x(y^3+y-x^3)^2 (1+\lambda x^{2p-7})-y^{2p} =0 $$ is an irreducible curve of degree $2p$ having exactly one singular point of type $D_{6p+1}$ at the origin.
		Its polar curve $$ F_y(x,y)= 2x(y^3+y-x^3)(3y^2+1) (1+\lambda x^{2p-7})-2py^{2p-1} =0 $$ intersects the nonsingular cubic $C_3$ given by \mbox{$y^3+y-x^3=0$} with multiplicity \mbox{$6p-3$} at the origin.
	home.imf.au.dk /esn/preprints/076 (1537 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		The primary fact about simple closed curves is the Jordan Curve Theorem, which states that the trace of such a curve separates the plane into two open regions, the \shape italic interior \shape up and the \shape italic exterior \shape up of \begin_inset Formula \(\gamma \) \end_inset, with the interior bounded.
		However, by a sequence of such deformations, the curve can be moved to the boundary of that ball, where \begin_inset Formula \(n \) \end_inset is clearly \begin_inset Formula \(\pm 1 \) \end_inset, the sign depending upon the orientation.
		As with curves in three-space, \begin_inset Formula \(\mathbf{e}_{2}' \) \end_inset is not precisely the `torsion' term, as there is a part of that derivative that simply reflects the first curvature, from the part of \begin_inset Formula \(\mathbf{e}_{2}' \) \end_inset which is in the plane of \begin_inset Formula \(\{\mathbf{e}_{1},\mathbf{e}_{2}\} \) \end_inset.
	www.lehigh.edu /~dlj0/courses/424sp97-1.lyx (3129 words)

	Inter-rater agreement (kappa) - MedCalc manual (Site not responding. Last check: 2007-10-09)
		Creates a classification table, from raw data in the spreadsheet, for two observers and calculates an inter-rater agreement statistic (Kappa) to evaluate the agreement between two classifications on ordinal or nominal scales (Cohen, 1960).
		Kappa does not take into account the degree of disagreement between observers and all disagreement is treated equally as total disagreement.
		For Weighted Kappa, MedCalc gives two standard errors: Standard error (Kw'=0) is the appropriate standard error for testing the hypothesis that the underlying value of weighted kappa is zero.
	www.medcalc.be /manual/kappa.php (313 words)

	Automotive Industries: Kappa Kappa Kappa: Automotive Industries takes three GM Kappa-based concepts out for a spin (Site not responding. Last check: 2007-10-09)
		Design Manager Anthony Lo sees the RWD Kappa architecture as "a brilliant new canvas on which to design expressive vehicles," and this concept's striking 2+2 design is a collaboration of GM's North American and Sweden-based European Advanced Design Teams.
		The front and rear bucket seats are charcoal leather with terracotta inserts; the steering wheal, dash and console use blonde wood to communicate lightness and airiness; unique "floating" inserts in the doors have color-changing backlighting.
		Like Nomad, Curve is well motivated by a longitudinally mounted 2.2L Ecotec four, but this one is supercharged to a more modest 200 hp and twists the rear wheels through a Getrag 5-speed manual gearbox--similar to the combination in the current production (FWD) Saturn ION Red Line.
	www.findarticles.com /p/articles/mi_m3012/is_10_184/ai_n6261240 (991 words)

	nodal curve (Site not responding. Last check: 2007-10-09)
		When a is a rational number, the curve is an algebraic curve.
		For a=1, the kappa curve, a quartic, results.
		For a being integer, the power of the curve is 2*a +2.
	www.2dcurves.com /higher/higherno.html (53 words)

	ROTCURVES(1NEMO) manual page (Site not responding. Last check: 2007-10-09)
		The rotation curve is defined from circular orbits balancing the local gravitational force.
		In a Lindblad diagram only the total curve is given, not the individual components.
		For non-axisymmetric potentials the obtained rotation curve is bogus, and one has to resort to a periodic orbit searching program such as perorb(1NEMO).
	bima.astro.umd.edu /nemo/man_html/rotcurves.1.html (536 words)

	frenet.html (Site not responding. Last check: 2007-10-09)
		If is irrational, the curve does not close and has infinite length.
		The curvature measures the rate at which the curve is turning.
		The torsion measures the rate at which the plane of the curve is turning.
	adept.maplesoft.com /powertools/vectorcalculus/html/frenet.html (583 words)

	FullSearch.co.uk - KAPPA (Site not responding. Last check: 2007-10-09)
		Kappa logo Kappa This site belongs to Steve Drain and is a place to find any software I have written or other bits I have to offer.
		Kappa is a working name I have used intermittently for some years.
		Kappa Curve Cartesian equation: y 2 (x 2 + y 2) = a 2 x 2 experiment interactively with this curve and its associated curves.
	www.fullsearch.co.uk /search-KAPPA (282 words)

	Saturn Curve Concept Car - 2004
		With the Saturn Curve concept, a sinewy shape, warm colours and the aural delights of a supercharged engine warm the emotions of those who appreciate sophisticated and engaging automobiles.
		A curved wood centre console is the interior’s dominant feature and is attached to the dashboard via a tongue-and-groove joint.
		Blonde wood is used to convey lightness and airiness, while charcoal-coloured leather and terracotta inserts accent the dashboard and upholstery.
	www.nextcar.com.au /n.saturn.curve.concept.04jan.html (889 words)

	Cheersandgears.com - Kappa platform, Solstice, Nomad, Curve, Lightning
		Many a GM parts bin was raided to turn a front wheel driver to a convertible that puts the power down at the rear wheels.
		The small Kappa Architecture features full-length hydroformed frame rails and a stamped steel structural tunnel to provide a solid structure.
		The Chevy Nomad, shown in 2004 with its brethren Kappas, is a project that is up in the air.
	www.cheersandgears.com /platforms/kappa.htm (487 words)

	Automotive Intelligence at the North American International Auto Show 2004 (Site not responding. Last check: 2007-10-09)
		The new Kappa architecture is the foundation for the Solstice production model as well as several exciting concept vehicles that demonstrate its adaptability.
		A car like the Curve, which is both functional and thoughtfully designed, provides that environment.”
		The design of the Curve abounds with interesting details that emphasize its contemporary design aesthetic, as well as its sports car roots, including roof pillars that are concealed by a wraparound canopy of glass — creating the look of a “floating” roof panel.
	www.autointell.net /Events/naias-2004/naias-2004-daily/saturn-curve-04/naias-2004-highlights-saturn-curve.htm (650 words)

	[vtkusers] Curvatures of a space curve?
		I had thought of writing something for VTK, but in the end couldn't really decide what class should represent curves, and thus what filter to inherit from.
		You can also obviously fit splines, but as the torsion involves 3d derivatives, special types of splines should be used for torsion-continuity (tau-splines), but I don't think they are easily available in vtk.
		Remark: there is also the concept of 'geodesic curvature' of a curve on a surface, for which I have some references for discrete situations.
	public.kitware.com /pipermail/vtkusers/2003-May/067391.html (288 words)

	Professors grading in curve
		It is because, there are always one or two students that does extremely well and in addition to their near perfect score, they get most of the extra credit questions right also.
		That is when students benefit from the curve system but as of today, there were at least one or two students that received a high A, which defeats the purpose of curving.
		I don't think the curves really kill the average scoring people, because I think they do, or should, take into account that the highest isn't representative of all, neither is the lowest...
	www.calpolyonline.com /forums/showthread.php?t=975 (521 words)

	Kappa Tau Spacecurve Downloads from Rudy Rucker's Website (Site not responding. Last check: 2007-10-09)
		Instead of describing the curve in terms of (x,y,z) coordinates, the curve is described by its intrinsic geometry.
		That is, its curvature (kappa) and its torsion or twisting (tau) are given as functions of the arclength along the curve.
		Designing a Baseball Cover,” An article by Richard B. Thompson about the “true” baseball strich curve (which resembles, but is different from, the kappatau curve shown in the background of the KappaTau Downloads page).
	www.mathcs.sjsu.edu /faculty/rucker/kappatau.htm (265 words)

	Journal for Geometry and Graphics, Vol. 2, No. 1, pp. 17 - 31, 1998 (Site not responding. Last check: 2007-10-09)
		Abstract: A closed regular curve of class $C^r$ ($r \geq 2$) in the Euclidean 3-space having constant curvature $\kappa_0>0$ is called closed $\kappa_0$-curve.
		The construction of $c$ starts from the spherical image (= tangent indicatrix) $c^\star$ of $c$, which then has to be a closed regular curve of class $C^1$ on the unit sphere $S^2$ consisting of $n$ circular arcs and having the center $O^\star$ of $S^2$ as its center of gravity.
		In order to describe and to visualize the curves $c^\star$ and $c$, and to derive $c$ from $c^\star$, projection methods of Descriptive Geometry are used.
	www.ii.uj.edu.pl /EMIS/journals/JGG/2.1/3.html (194 words)

	Xah: Special Plane Curves: Radial (Site not responding. Last check: 2007-10-09)
		Let P be a point on a curve.
		Let C be the center of osculating circle at P. Now, the locus of the vector C-P is the radial of the curve C. The idea of a radial curve is analogous to the Gauss Map for surfaces.
		The radial curve is very much related to curvature of a curve, in that it gives a visual map of a curve's curvature change.
	xahlee.org /SpecialPlaneCurves_dir/Radial_dir/radial.html (105 words)

Try your search on: Qwika (all wikis)