The phrase "an arbitrary setting" is correct and usable in written English.
It can be used to describe a situation or environment that is chosen without any specific reason or criteria, often in a theoretical or experimental context.
Example: "In this study, we will analyze the effects of the new drug in an arbitrary setting to determine its overall efficacy."
Alternatives: "a random environment" or "a chosen context".
In Mr. Wiesner's account the elegantly drawn pigs are well aware that they are in an arbitrary setting, and they escape from the book into nursery rhymes and fairy tales.
But, to find a complete solution for constructing OOCs with an arbitrary setting of parameters is still difficult at the moment.
However, this is an arbitrary setting that can be tailored according to the user's needs, and different distance step sizes can be used to obtain different levels of detail in the plots of accuracy vs percentage of data in the AD.
For an arbitrary setting w0, estimate the expected response Y w0) by 18where (β̂0,δ̂,θ̂,Φ̂) are the maximum likelihood estimates obtained from the previous step.
For an arbitrary setting w0, the I × 1 vector ∑M w0,·) is defined as 11where v(w0,θ,Φ) denotes the correlation vector with each component being a correlation function dependent on w0, and the unknown parameters θ and Φ.
Autophagy was quantified as a ratio between geomean fluorescence intensity of red versus green fluorescence (FL3/FL1), and the data are presented as the fold changes with an arbitrary setting of autophagy in cells treated with DMSO control as 1.
Again, I imposed an arbitrary set of rules.
Horobin encourages us to remember that "our standard spelling is just an arbitrary set of conventions which were only fully codified in the 19th century".
Generations of schoolchildren were taught grammar as an arbitrary set of dos and don'ts laid down by people who knew, or thought they knew, best.
Such computer-controlled radios inside a cellphone can rapidly switch the frequencies they broadcast and receive on based on an arbitrary set of rules.
Mayor Rudolph W. Giuliani's proposal to serve an extra three months is dangerous to the democratic process because it is arrived at by an arbitrary set of circumstances (news article, Oct. 5).
