length of a curve

(redirected from Arc length)
Also found in: Wikipedia.

length of a curve

[′leŋkth əv ə ′kərv]
(mathematics)
A curve represented by x = x (t), y = y (t) for t1tt2, with x (t1) = x1, x (t2) = x2, y (t1) = y1, y (t2) = y2, has length from (x1, y1) to (x2, y2) given by the integral from t1 to t2 of the function √((dx / dt)2+ (dy / dt)2).
References in periodicals archive ?
For instance, users have more options in dimensions and annotation types, such as Chamfer, Arc Length, Hole, Center Line, and Linear Radius.
Now, add the thickness of the part to that inside radius and calculate the arc length again to find the outside arc length.
If the patient's HVID is larger or smaller than average, then the SpecialEyes Arc Length Calculator calculates the correct base curve and diameter choice combination.
3D weld pool surface reconstruction is a key problem in producing intelligent welding machines, and this process is able to obtain optimal welding parameters, such as welding current, speed, arc length, etc.
His topics include the Kerzman-Stein operator and kernel,the Ahlfors map of a multiply connected domain, the classical Neumann problem, arc length quadrature domains, and Green's function and the Bergman kernel.
Therefore, from the characterization that [parallel][gamma]'[parallel] is constant for geodesic [gamma], the notion of a geodesic implies a curve [gamma] with constant parametric speed, that is, parametrized by proportional to arc length, and zero tangential/longitudinal acceleration, while the normal/lateral acceleration is to keep the geodesic confined on the manifold.
where Lp is arc length, Vp is the parameter of voltage per primary arc length unit and i is the arc current.
Operator-controlled variables include travel speed, work angle, arc length, and travel angle.
But it characterizes all the different degrees of curliness of a hair and describes mathematically how the properties of the curl change along the arc length of a hair, he said.
The dependence of aluminium substrate surfaces' roughness after cathodic cleaning on the current strength with different current frequencies and 2 mm arc length