The phrase "a smooth coordinate" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or computer graphics where the concept of smoothness in relation to coordinates is relevant.
Example: "In our analysis, we need to ensure that we are using a smooth coordinate system to accurately model the curves."
Alternatives: "a continuous coordinate" or "a seamless coordinate".
Now, smooth coordinate changes applied to such a description will generate distinct mathematical representations of that Humean mosaic, given using distinct coordinatizations of the field-stuff.
First the Zhuravlev non-smooth coordinate transformation is adopted to convert a vibro-impact oscillator into an oscillator without barriers.
The main techniques used in modeling include power-law phenomenological modeling, Hertzian modeling, and non-smooth coordinate transformations originally developed by Zhuravlev and Ivanov.
In view of their effectiveness, both Zhuravlev and Ivanov non-smooth coordinate transformations will be described and assessed for the case of ship roll dynamics experiencing impact with rigid barriers.
Smoothed coordinate data, ground reaction, and gravitational and inertial forces will inform an inverse dynamics model to calculate 3D moments and forces at the hip, knee, and ankle joints using Visual 3D Standard 4.0 clinical gait analysis software (C-Motion, Germantown, MD).
In Sweden the polska is a turning dance in 3/4 time, usually for couples, who grasp each other firmly and pivot around and around with a smooth, carefully coordinated step.
A smooth and time-varying coordinate transformation is utilized to reduce the stabilization problem of the airship to that of a linear time-invariant system.
Similarly a perturbed bipolar domain can be mapped to an eccentric annulus by a smooth change of coordinates.
The validity of our approach depends on the fact that the divergence properties of these integrals are invariant under a smooth change of coordinates and of the measure, and as such, they are insensitive to the presence of a group structure on O.
