The phrase "a function equivalent to" is correct and usable in written English.
It can be used when discussing mathematical functions, programming, or any context where you want to express that one function serves the same purpose or produces the same result as another.
Example: "In this equation, we can replace the original function with a function equivalent to it for simplification."
Alternatives: "a function that matches" or "a function that is the same as".
All free induction decays were multiplied by an exponential function equivalent to a 1 Hz line-broadening factor before Fourier transformation.
For both experiments, an exponential function equivalent to that of a 1.0 Hz line-broadening factor was applied to the FIDs followed by Fourier transformation.
Following acquisition, the FIDs were apodized by multiplication with an exponential function equivalent to 1.5-Hz line broadening and baseline-corrected using a first-order polynomial prior to DOSY processing using the DOSY Toolbox software [ 29].
Prior to Fourier transformation, the free induction decays (FIDs) were zero filled to 65,536 points and apodized by multiplication with an exponential function equivalent to 1-Hz line broadening.
These data were zero-filled by a factor of 2, and the FIDs were multiplied by an exponential weighting function equivalent to a line broadening of 0.3 Hz prior to Fourier transformation (FT).
Prior to Fourier transformation the free induction decays (FID) were multiplied by an exponential weighting function equivalent to a line broadening of 0.5 Hz and zero-filled to 64 K.
We model this cohort-density dependence with a generalized Michaelis-Menten function (equivalent to a Hill function): 4 with (constant) Hill and shape parameters h≥1 and k>0, respectively.
The reflectance spectra were analyzed using the Kubelka-Munk relation to convert the reflectance into a Kubelka-Munk function (equivalent to the absorption coefficient), F (Rα), using the relation: Figure 6 UV-Vis diffuse reflectance spectra for the undoped and Eu-doped TiO 2 phosphor nanoparticles.
The summed FIDs were multiplied by an exponential window function equivalent to 0.5 or 1 Hz line broadening (aqueous and lipid spectra, respectively).
The summed transients were multiplied by an exponential apodization function equivalent to 0.5 Hz line broadening and zero-filled by 50%, followed by Fourier transformation.
