The phrase "a sphere on which" is correct and usable in written English.
It can be used when describing a specific surface or context related to a sphere, often in mathematical or metaphorical discussions.
Example: "In geometry, we often refer to a sphere on which all points are equidistant from the center."
Alternatives: "a sphere that serves as" or "a sphere where".
If one eye is fixed on a point in space, the visual field for this eye may be thought of as the part of a surface of a sphere on to which all visible objects are projected.
In this type of measurement, the subject is facing a white illuminated sphere, on which points of light with varying intensities are briefly flashed.
It was a medieval woodcut of a man who had climbed a long ladder and found himself touching the sphere on which the stars revolved.
The standard of correction in the equation of time used in Ptolemaic astronomy was based upon the assumption that the sidereal day the period of time it takes a fixed star to return to zenith is constant, because the celestial sphere on which the fixed stars are located should not be assumed to speed up and slow down.
This is numerically verified by calculating the electrostatic potential and solvation energy on the Kirkwood sphere on which the analytical solutions are available and on a series of proteins with various sizes.
To be stranded on Cooper Island is to be reminded of the larger sphere on which we are all confined, along with all the changes we may have wrought.
Mr Loh navigates it around the room, then lands it and rolls it across the floor.The flying sphere, on which Mr Loh holds four patents, is mainly intended for use in rescue missions: equip it with a camera and a GPS device, fly it through the window of a burning building, then have it roll around hallways seeking survivors and sounding an alarm when it finds one.
T zz (Q), T xx (Q), T yy (Q), T xy (Q), T xz (Q) and T yz (Q) are the elements of the gradiometric tensor at integration point Q, R is the mean radius of the Earth, r is the geocentric radius of the computation point P (in satellite gradiometry, it is R + altitutde of satellite), σ is the unit sphere on which the integration is taken, and dσ is the integration element.
Next, we propose a method for estimating the spheres on which source signals exist by using ICA solution and the near-field model.
