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The phrase "at the upper side" is correct and usable in written English.
It can be used to describe a location or position that is situated at the top part of an object or area.
Example: "The label is located at the upper side of the box, making it easy to identify the contents."
Alternatives: "on the top side" or "at the top".
Exact(19)
Through this process, a loop is created at the upper side of the tendon.
The pendulum transducer is specially designed with hollow half at the upper side and solid half at the lower side.
Guard and saturation arithmetic is used to relax the distortion error induced by overflow at the upper side of data.
Conversely, in most cases the amount of heat exchanged at the upper side of the plate diminishes when the lower side is heated instead of being thermally insulated.
In addition, a noteworthy fact is that the heat transfer performance of the lower side of the plate is practically independent of the heat activity at the upper side of the plate, i.e., when both sides are heated at the same temperature or when one side is heated while the other is thermally insulated.
The heater is supported in a stainless steel (SUS 304) vacuum chamber by a Ta-wire (0.5 mm diameter) at the upper side and a W-wire (0.4 mm diameter) at the bottom.
Similar(41)
The upper side of the root ball must be at the same height as the upper side of the garden soil.
We observe three typical behaviors of the liquid bridge: (1) reaching a stable shape after damped oscillations (regime I); (2) pinching off at both sides in the first necking stage with the largest oscillation amplitude (regime II); and (3) pinching off at only the upper side after once or twice necking (regime III).
Surprisingly, once the Bond number is sufficiently high (e.g., Bo > 0.05), regime III (i.e., pinch-off at only the upper side) is observed when Rd/Rn becomes around the regime II to I transition (i.e., Rd/Rn = 1.6).
It has never receded; has never been painful but was tender at one spot on the upper side of the patella.
After 6-h incubation in humidified 5% CO2 air at 37°C, cells on the upper side of the filter were removed, whereas those which had migrated to the lower side were fixed in absolute ethanol, stained with toluidine blue, and counted in 5 to 8 oil immersion fields at 400×.
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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