length of a curve

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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 ?
This implies that the arc length of the curved repeating unit is [r.
In order to obtain the curved profile we need to find the arc length, to be able to position the resulted thickness of the base profile.
Even provided issue of arc discharge stabilization and compression is solved, it is required for stable diffusion conditions of operation of watercooled anode that such parameters as current, arc length and diameter of anode be in a certain optimal area of their interrelations.
Commonly referred to as "buried arc," this process is characterized by low voltage, short arc length, and very high travel speeds allowing for a deep penetrating weld at reduced heat inputs.
The latest Mpost and Lpost executables for better handling of small arc length segments and turning operation support.
25 to the North Right-of-Way line of Gretna Road, and also the Point of Beginning; thence, along a non-tangent curve to the right with a chord bearing of North 63A 37 07 East, an arc length of 96.
Such flow of argon in combination with hot tungsten cathode ensured protection of electrodes against oxidation and diffusion mode of the anode spot tie-up at the currents 150-400 A and arc length 15-30 mm.
At a minimum, each curve or segment of curve will be identified with Radius, Arc Length, Chord Bearing, Chord Length and Internal Angle.
Tenders are invited for Supply and Erection of SS 316 Ceramic Lined bend having Arc length 1700 mm and radius of 1080 mm for ash slurry disposal Lines
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
The measurement setup needs to capture the discharge current, transient fields, the arc length, and approach speed of human metal ESD (Chun druet.