In this scenario, the target starts at [-1000 500 8000] in Cartesian coordinate
in meters, and the target has an elliptic trajectory with constant altitude above the sensors.
The intensities are just as readily calculated with paraboloidal amplitude functions  as with spherical polar amplitude functions, being proportional to the squares of matrix elements of cartesian coordinate
z, or the spherical polar product r cos([theta]), or the corresponding paraboloidal coordinate 1/2 ([u.sup.2] - [v.sup.2]) as defined above.
Supply and commissioning of an automated multispectral camera mounted on a Cartesian coordinate
robot which can be studied in high throughput plant stress.
The cylindrical polar coordinate description of the edge dislocation is more complex than the cartesian coordinate
[O.sub.1] [x.sub.1] [y.sub.1] [z.sub.1] and relative [O.sub.2] [x.sub.2] [y.sub.2] [z.sub.2] cartesian coordinate
Nomenclature a: SFM parameter, dimensionless b: SFM parameter, dimensionless [C.sub.m, cat]: Catalyst concentration, g[l.sup.-1] [F.sub.Obj]: Objective function, [mol.sup.2] [cm.sup.-6] H: Thickness, cm I: Emission spectrum of radiation source, Einstein [cm.sup.-2] [s.sup.-1] [I.sub.0]: Flux of radiation at surface, Einstein [cm.sup.-2] [s.sup.-1] LVRPA: Local volumetric rate of photon absorption, Einstein [cm.sup.-3] [s.sup.-1] [p.sub.b]: Probability of backward scattering, dimensionless [p.sub.f]: Probability of forward scattering, dimensionless [p.sub.s]: Probability of side scattering, dimensionless [r.sub.p]: Auxiliary coordinate in the photon flux direction, cm x: Cartesian coordinate
, cm y: Cartesian coordinate
, cm z: Cartesian coordinate
Two fashions of feed scanning are investigated: Cartesian coordinate
scanning method and polar coordinate scanning method, as shown in Fig.
1, a Gaussian beam propagates in free space and from the negative [z.sup.'] to the positive [z.sup.'] axis in its own Cartesian coordinate
system [O.sup.'][x.sup.'][y.sup.'][z.sup.'], with the beam center located at origin [O.sup.'] and the time-dependent part of the electromagnetic fields assumed to be exp(-iwt).
The last Cartesian coordinate
is considered as an extra dimension of [E.sup.5.sub.1,4] orthogonal to the [M.sub.4] hyperplane.
of New York) explains how MATLAB is used in real-world engineering applications by introducing basic matrix concepts, definitions and operations before moving onto the commands needed to master the graphics features such as 2-D and 3-D plots in the Cartesian coordinate
The Fly on the Ceiling: A Math Myth (Glass 1998) imaginatively recreates the story of Rene Descartes and the Cartesian coordinate
M2 PRESSWIRE-August 27, 2019-: Global Cartesian Coordinate
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