The phrase "a power function for" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing a function that is defined by a power relationship.
Example: "The equation represents a power function for the relationship between the variables x and y."
Alternatives: "a power relationship for" or "a power model for".
Sayers et al. [39, 40] suggested a power function for PSD roughness: S_{xi xi } (Upomega ) = AUpomega^{alpha }. (5).
Because of the nature of the q-numbers, the solution of the equation (23) should have a power function for the q-discrete space variable counterpart.
To address the assumption of homogeneity of variance, heterogeneity was incorporated into the variance structure of each model, using a power function for the ring covariate, and examined through visual plots of residuals versus fitted values.
There was a significant inverse relation between scale and unit economic cost, with the best fit obtained using a power function for PMTCT centres situated in hospitals attached to a medical college as well as those not attached to a medical college.
There was also a significant inverse relation between HIV prevalence among pregnant women and economic cost per mother-neonate pair who received nevirapine, with the best fit obtained using a power function for both the PMTCT centres situated in hospitals attached to a medical college and those not attached to a medical college.
Review of the published data on the temporal profile of FDG uptake suggests that it is reasonable to use a power function for approximating the FDG uptake over a limited time range [ 11]: (1) SUV = k t S for some k and S values to be determined by the tumor specific data.
Furthermore, in each of the three contexts this decline occurs in a highly predictable fashion with N, such that it is well fit to a power function of the form: Values for a and b for each of these three types of metastatic spread are shown in Table 2. b has a negative value of approximately −0.5 to −0.8, reflecting the fact that the value of p declines as tumours increase in size.
Under certain conditions on the weight function of the form of a power function, sufficient conditions for the basicity of this system are obtained in generalized weighted Lebesgue space.
Because the relationship between actual length and I 1 is a power function (i.e., for a homogeneous rod of some density, I 1 increases as the cube of length), a logarithmic transformation of perceived length and I 1 has proven to be required in computing their correlation (e.g., Solomon & Turvey, 1988; Turvey & Carello, 1995).
21 As an alternative to collapsing upper comorbidity categories to depict the association between comorbidity and all-cause mortality, we generated a cubic power function for mortality risk by maximizing the log-binomial likelihood of the observed data, using the entire range of comorbidity counts in the cohort (0 to 7 comorbidities).
Following Saigo et al. [18] and Saxena and Saigo [21], the left-hand sided and right-hand sided generalized differentiation for a power function are, respectively, given as follows (see, [24, p. 7, Eqs.
