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This is an extension of the classical optimisation problem for geodesics – minimising the length of a curve [] = + ′ connecting points and , with the added complexity of considering some wind velocity. Although it is usually impossible to find an exact solution in most cases, the general case was solved by Zermelo himself in the form of a ...
The optimal control problem is an infinite-dimensional optimization problem, since the decision variables are functions, rather than real numbers. All solution techniques perform transcription, a process by which the trajectory optimization problem (optimizing over functions) is converted into a constrained parameter optimization problem ...
The more z-buffer precision one uses, the less likely it is that z-fighting will be encountered. But for coplanar polygons, the problem is inevitable unless corrective action is taken. As the distance between near and far clip planes increases, and in particular the near plane is selected near the eye, the greater the likelihood exists that z ...
A 2.5D machine, also called a two-and-a-half-axis mill, possesses the capability to translate in all three axes but can perform the cutting operation only in two of the three axes at a time due to hardware or software limitations, or a machine that has a solenoid instead of a true, linear Z axis. A typical example involves an XY table that ...
Nevertheless, because of the parallel orientation of two of the gimbals' axes, there is no gimbal available to accommodate rotation about one axis, leaving the suspended object effectively locked (i.e. unable to rotate) around that axis. The problem can be generalized to other contexts, where a coordinate system loses definition of one of its ...
In fusion power research, the Z-pinch (zeta pinch) is a type of plasma confinement system that uses an electric current in the plasma to generate a magnetic field that compresses it (see pinch). These systems were originally referred to simply as pinch or Bennett pinch (after Willard Harrison Bennett ), but the introduction of the θ-pinch ...
This will pose practical issues for a physical system with a motor than can only move the azimuthal axis at a limited rate and acceleration. And so the keyhole problem is a fundamental issue for any real azimuth-elevation type tracking system, even if designed to reach the whole range of half-hemispherical angles.
The Z-drive is so named because of the appearance (in cross section) of the mechanical driveshaft or transmission configuration used to connect the mechanically supplied driving energy to the Z-drive azimuth thruster device. This form of power transmission is called a Z-drive because the rotary motion has to make two right angle turns, thus ...