local coordinate system

Also found in: Acronyms.

local coordinate system

[′lō·kəl kō′ȯrd·ən·ət ‚sis·təm]
(mathematics)
The coordinate system about a point which is induced when the global space is locally euclidean.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Step 1: Set up a local coordinate system at the element centroid
After obtaining the stress component in the local coordinate system of the bedding plane, the following equation is established according to the stress relation graph as shown in Figure 3:
In describing a one-parameter motion, a rotation curve r(v) = ([r.sub.w](v), [r.sub.x](v), [r.sub.y](v), [r.sub.z](v)) [member of] [R.sup.4] can be used to represent unit quaternions r(v)/[parallel]r(v)[parallel] in [S.sup.3] = {(w, x, y, z) [member of] [R.sup.4] |[w.sup.2] + [x.sup.2] + [y.sup.2] + [z.sup.2] = 1} which specifies the orientations of a local coordinate system on the trajectory curve t(v).
While for body i, the equation of motion in its local coordinate system could be written as
The compliance matrix of the straight part of the warp yarn in the local coordinate system (1, 2, and 3) can be completely determined by the chamis model, based on the relationship between compliance matrix and elastic constants.
The offset distance and direction are determined by the local coordinate systems. Though using the local coordinate systems to define a curve is not new , the definition of offset curves and surfaces by the local coordinate systems has never been presented before.
We used the similar parameters and functions introduced in , where a local coordinate system is introduced to facilitate the calculation of 3-D numerical integrations based on Green's function or its gradient on a plane triangle.
As a starting point, we will use the Equation (4), and write it in the chosen local coordinate system (Figure 1) as
When we change the local coordinate system (x; [eta]) in the base supermanifold M, the corresponding standard local coordinate system (x, y; [eta], [theta]) in TM changes and the superfunctions
3, a local coordinate system uvw parallel to the radar LOS coordinate system is used to describe the positions of the scatterers on the target.
Orientation of the object, R(t) is possible to display as a transformed form of the local coordinate system, while the matrix columns are shown as vectors of relative position of the object.

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