U-curve - translation to English
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U-curve - translation to English

The beveridge curve; UV curve; U-V curve
  • Beveridge curve of vacancy rate and unemployment rate data from the [[United States Bureau of Labor Statistics]]

U-curve      
منحنى نونى على شكل ( U )
Bezier curve         
  • Animation of the construction of a fifth-order Bézier curve
  • cyan: ''y'' {{=}} ''t''<sup>3</sup>}}.
  • 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>
  • Animation of a linear Bézier curve, ''t'' in [0,1
  • Animation of a quadratic Bézier curve, ''t'' in [0,1
  • Construction of a quadratic Bézier curve
  • Animation of a cubic Bézier curve, ''t'' in [0,1
  • Construction of a cubic Bézier curve
  • Animation of a quartic Bézier curve, ''t'' in [0,1
  • Construction of a quartic Bézier curve
  • Quadratic Béziers in [[string art]]: The end points ('''&bull;''') and control point ('''&times;''') 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
منحنى بيزية
u         
  • 20px
LETTER OF THE LATIN ALPHABET
U; Letter U; U (letter); ASCII 85; ASCII 117; U+0055; U+0075; Ꞹ; Ꞿ; ꞿ
اسْم : الحرف الـواحد والعشرون من الأبجدية الإنجليزية

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

Beveridge curve

A Beveridge curve, or UV curve, is a graphical representation of the relationship between unemployment and the job vacancy rate, the number of unfilled jobs expressed as a proportion of the labour force. It typically has vacancies on the vertical axis and unemployment on the horizontal. The curve, named after William Beveridge, is hyperbolic-shaped and slopes downward, as a higher rate of unemployment normally occurs with a lower rate of vacancies. If it moves outward over time, a given level of vacancies would be associated with higher and higher levels of unemployment, which would imply decreasing efficiency in the labour market. Inefficient labour markets are caused by mismatches between available jobs and the unemployed and an immobile labour force.

The position on the curve can indicate the current state of the economy in the business cycle. For example, recessionary periods are indicated by high unemployment and low vacancies, corresponding to a position on the lower side of the 45° line, and high vacancies and low unemployment indicate the expansionary periods on the upper side of the 45° line.

In the United States, following the Great Recession, there was a marked shift in the Beveridge curve. A 2012 International Monetary Fund (IMF) said the shift can be explained in part by "extended unemployment insurance benefits" and "skill mismatch" between unemployment and vacancies.: 2