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The phrase "assumed to be a known function" is correct and usable in written English.
It can be used in contexts such as mathematics, programming, or scientific discussions where a particular function is taken for granted as being recognized or established.
Example: "In our calculations, we will use the equation that is assumed to be a known function in the field of thermodynamics."
Alternatives: "presumed to be a recognized function" or "considered to be an established function".
Exact(3)
The chemical potential is also assumed to be a known function of time on the bounding plane.
The chemical potential is also assumed to be a known function of time on the bounding cavity.
The conditional variance is assumed to be a known function of the mean (up to a scale parameter) and the conditional mean function therein is assumed to be a function of unknown model parameters: V Y i X i = σ 2 ν μ i E Y i X i = g μ i = β 0 + β 1 X i 1 + … + β p X ip In the first Equation V denotes the variance operator, σ is a scale parameter which is estimated from observed data.
Similar(57)
The nonlinearity is assumed to be a priory known.
The unknown nonlinear interconnection terms are assumed to be bounded by some known functions of the outputs of the subsystems, multiplied by some unknown parameters.
Clearly, the a priori probability density function (PDF) of the channel is assumed to be perfectly known at the receiver [21, 22].
In numerous proposed algorithms, statistical properties or probability density function (PDF) of transmission channels are assumed to be perfectly known or already estimated [2 6].
If the period assumed to be known (in this case, 24 hours), a cosine function can be rewritten as a linear function and the data can be fitted via least squares regression.
where is a known function.
which is a known function.
In this analysis, the individual cost functions are assumed to be stable and known by the trade-off controller.
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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