The phrase "also denoted for" is not correct in standard written English.
It seems to be an incorrect combination of terms and does not convey a clear meaning. An example of a corrected phrase could be: "This variable is also denoted as X." Alternatives could be "also referred to as" or "also represented by."
Also, denote for a given.
We also denote, for each i ∈ I, Meas ( Ω i, S i ) the set of measurable mappings from ( Ω i, Z i ) to S i.
To determine the optimal Gaussian filtering value σ, we scan through a range of different σs to find the value that maximizes For simplicity, in the following sections, we denote (Figs 2C and 7B) and also denote for any voxel i.
We denote the set of positive integers by Let be a Banach space with norm Then the dual space of is denoted by The norm of is also denoted by For and we denote by For a sequence of and, strong convergence of and weak convergence of to are denoted by and respectively.
For our CC data, the best-fitting ARIMA-type model applied to the residuals after fitting the trend, seasonality, and day-of-week effect was the EWMA (equivalent to a moving average fit to the first differences, also denoted ARIMA 0,1,1) for the particular autoregressive integrated moving average model that it corresponds to).
If a molecule A can occur in just one state (i.e. the molecule definition is A), this single species is also denoted as A. For the sake of simplicity, we use the same notation for species and their concentrations.
i diffuses information about class m with probability (f_1(R_i^m(t))) (also denoted as (f_1 t)) for simplicity), i deletes all messages about class m with probability (q f_2(R_i^m(t))), where the parameter q is introduced to control the deletion process and (f_2(R_i^m(t))) will be also denoted as (f_2 t)) for simplicity.
For the classes for which i is infected/informed: (a) i diffuses information about class m with probability (f_1(R_i^m(t))) (also denoted as (f_1 t)) for simplicity), (b) i deletes all messages about class m with probability (q f_2(R_i^m(t))), where the parameter q is introduced to control the deletion process and (f_2(R_i^m(t))) will be also denoted as (f_2 t)) for simplicity.
For all of these methods, we thus can obtain 33 × 11 sequences of PTT data (denoted as T for each sequence as before) and 33 × 11 sequences of BP data (also denoted as P for each sequence as before).
Further analysis for multiple comparisons test between classes for RMS also denoted significant differences (P < 0.05).
