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J curve - translation to English
THE TIME PATH OF A COUNTRY’S TRADE BALANCE FOLLOWING A DEVALUATION OR DEPRECIATION OF ITS CURRENCY, UNDER A CERTAIN SET OF ASSUMPTIONS
J Curve; J-curve; J curve (private equity); J-Curve theory; J-curve theory; J curve theory; J-cuve; J frequency distribution curve; J-Curve Effect; J-curve effect; J Curve Effect; J curve effect; J-Curve; J-shaped growth curve; J-shaped curve
J curve
n. curva J, curva che rappresenta il rapporto fra l"esportazione e i valori della moneta (in economia)
Bezier curve
![Abstract composition of cubic Bézier curves ray-traced in 3D. Ray intersection with swept volumes along curves is calculated with Phantom Ray-Hair Intersector algorithm.<ref>Alexander Reshetov and David Luebke, Phantom Ray-Hair Intersector. In Proceedings of the ACM on Computer Graphics and Interactive Techniques (August 1, 2018). [https://research.nvidia.com/publication/2018-08_Phantom-Ray-Hair-Intersector]</ref>](https://commons.wikimedia.org/wiki/Special:FilePath/Bezier curves composition ray-traced in 3D.png?width=200 "Abstract composition of cubic Bézier curves ray-traced in 3D. Ray intersection with swept volumes along curves is calculated with Phantom Ray-Hair Intersector algorithm.<ref>Alexander Reshetov and David Luebke, Phantom Ray-Hair Intersector. In Proceedings of the ACM on Computer Graphics and Interactive Techniques (August 1, 2018). [https://research.nvidia.com/publication/2018-08_Phantom-Ray-Hair-Intersector]</ref>")
![Quadratic Béziers in [[string art]]: The end points ('''•''') and control point ('''×''') define the quadratic Bézier curve ('''⋯''').](https://commons.wikimedia.org/wiki/Special:FilePath/Quadratic Beziers in string art.svg?width=200 "Quadratic Béziers in [[string art]]: The end points ('''•''') and control point ('''×''') define the quadratic Bézier curve ('''⋯''').")
CURVE USED IN COMPUTER GRAPHICS AND RELATED FIELDS
Bezier curve; Bezier curves; Bézier Curve; Bernstein-Bézier curve; Bernstein-Bezier curve; Besier curve; Bezier cubic; Bézier cubic; Bezier splines; Bezier Curve; Cubic bezier; Conic Bezier curve; Conic Bézier curve; Bezier path; Cubic bézier curve; Cubic Bézier curve
Curva di Bezier (prodotta con un particolare sistema matematico)
curved line
![The curves created by slicing a cone ([[conic section]]s) were among the curves studied in ancient [[Greek mathematics]].](https://commons.wikimedia.org/wiki/Special:FilePath/Conic sections with plane.svg?width=200 "The curves created by slicing a cone ([[conic section]]s) were among the curves studied in ancient [[Greek mathematics]].")
![Analytic geometry allowed curves, such as the [[Folium of Descartes]], to be defined using equations instead of geometrical construction.](https://commons.wikimedia.org/wiki/Special:FilePath/Folium Of Descartes.svg?width=200 "Analytic geometry allowed curves, such as the [[Folium of Descartes]], to be defined using equations instead of geometrical construction.")
![A [[dragon curve]] with a positive area](https://commons.wikimedia.org/wiki/Special:FilePath/Fractal dragon curve.jpg?width=200 "A [[dragon curve]] with a positive area")
![[[Megalithic art]] from Newgrange showing an early interest in curves](https://commons.wikimedia.org/wiki/Special:FilePath/Newgrange Entrance Stone.jpg?width=200 "[[Megalithic art]] from Newgrange showing an early interest in curves")
MATHEMATICAL IDEALIZATION OF THE TRACE LEFT BY A MOVING POINT
Jordan curve; Continuous path; Closed curve; Space curve; Curved; Arc (geometry); Skew curve; Mathematical curves; Mechanical curve; Major arc; Arc (curvature); Regular curve; ◠; ◡; ◜; ◝; ◞; ◟; 1-manifold; Smooth curve; Simple curve; Open curve; Mathematical curve; Space curves; Curve (geometry); Great arc; Sharp curve; Arc shaped; Curve (mathematics); ⌒; Arc (geometric); Curved line; Curve segment; Curved line segment; Curved lines; Great-circle arc; Continuous curve; Subarc; Path (geometry); Topological curve; Surface curve; Curve (topology)
linea curva
Definition
Bezier curve
<graphics> A type of curve defined by mathematical formulae,
used in computer graphics. A curve with coordinates P(u),
where u varies from 0 at one end of the curve to 1 at the
other, is defined by a set of n+1 "control points" (X(i),
Y(i), Z(i)) for i = 0 to n.
P(u) = Sum i=0..n [(X(i), Y(i), Z(i)) * B(i, n, u) ]
B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i)
C(n, i) = n!/i!/(n-i)!
A Bezier curve (or surface) is defined by its control points,
which makes it invariant under any affine mapping
(translation, rotation, parallel projection), and thus even
under a change in the axis system. You need only to transform
the control points and then compute the new curve. The
control polygon defined by the points is itself affine
invariant.
Bezier curves also have the variation-diminishing property.
This makes them easier to split compared to other types of
curve such as Hermite or B-spline.
Other important properties are multiple values, global and
local control, versatility, and order of continuity.
[What do these properties mean? ]
(1996-06-12)
Wikipedia
J curve
A J curve is any of a variety of J-shaped diagrams where a curve initially falls, then steeply rises above the starting point.
Examples of use of J curve
1. "But it‘s a J curve, we went through it and are on the uplift now.