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The phrase "at an arbitrary time" is correct and usable in written English.
It can be used when referring to a time that is not fixed or predetermined, allowing for flexibility in scheduling or timing.
Example: "You can submit your report at an arbitrary time, as long as it is before the deadline."
Alternatives: "at any chosen time" or "at a random time".
Exact(24)
Knowing its acceleration alone is not satisfactory; one wishes to know its position x at an arbitrary time t.
The traditional curing method of concrete members in China is through manual water curing based on the experience of engineers and at an arbitrary time.
Using the z-scored MEG sensor signals of the offline tasks to move the phantom hand, we constructed the phantom decoder to infer phantom hand movements at an arbitrary time in order to control the robotic hand in real time20.
For both models, we obtain the queue length distribution at batch arrival epochs and that at an arbitrary time instant, the loss probability of a whole batch or an arbitrary customer in a batch, server setup rate, server utilization ratio, and the LST of the waiting time distribution.
The state at an arbitrary time is shown in the right-hand part of Fig. 3.
This expresses the Wigner spectrum at an arbitrary time given the spectrum at time zero.
Similar(36)
Based on the Electric Delta-V Earth Gravity Assist (EDV-EGA) scheme, (Kawaguchi, 2001, 2002) [1,2] the proposed interplanetary parking method enables the explorer to make an Earth return orbit at an arbitrary time-of-flight by connecting to the minimum energy transfer orbit to destination.
The time point to determine headache-day frequency nonresponse was set at week 24, which was an arbitrary time point.
The first five terms of the solution are derived, for both plane and spherical deterministic waveforms, for the boundary value problem of an arbitrary time history at the origin.
Thus, the setting of an arbitrary time point at which to start the literature search, while necessary, may have limited earlier events important to the evolution of the policies investigated.
The safety-mode control is provided by an offline designed control policy that can be activated at any arbitrary time during standard mode.
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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