Exact(8)
A pole, from the Greek polos, "axis," is "one of two ends of an axis going through a sphere".
A simple sphere ray tracing program was written (attached below) that sent many rays through a sphere.
Consider light passing through a sphere with radius r in the spherical coordinate system (θ being the polar angle).
However, the issue of infinite lattices, addressed through a sphere constraint, appears when working with the classical considerations.
This figure shows the Log of the net radial ionospheric ion flux through a sphere at 2500 km altitude for each case, case 1 (A), case 2 (B) and case 3 (C).
Therefore there is more of it for Saturn's magnetosphere fields to pick up. Figure 8 shows the log of the net radial ionospheric ion flux through a sphere at 2500 km altitude for each case.
Similar(52)
In [10], a new closed-form upper bound on the capacity is found through a sphere-packing argument for channels using equiprobable binary pulse amplitude modulation (PAM) and subject to an average optical power constraint, presenting a tighter performance at lower optical signal-to-noise ratio (SNR) if compared with [8].
Players must get the coloured balls from an inner sphere into matching slots on the outer sphere by shaking them through a middle sphere that has only two holes".
Those who have passed on through death, have a sphere of their own.
A self-taught writer who spent a year at the UC Berkeley School of Journalism, he — and fellow environmentalists — found ways around government censorship through the arts, a sphere where the ruling generals had allowed the people of Myanmar, also known as Burma, a little breathing room.
In this work, a rational design toward Fe/N-codoped hierarchical porous carbon spheres was developed by the formation of an iron-porphyrin-containing conjugated microporous polymer sphere with hollow structure (HCMP) through a silica sphere template directed condensation of pyrrole and 1,4-phthalaldehyde, then etched with NaOH, and treated with FeCl2.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com