Sentence examples for use the linear function from inspiring English sources
The detailed algorithm for estimating the missing extremum point is shown in Algorithm 4. As shown in the algorithm, we use the linear function to estimate approximate extremum point if the condition in Theorem 4 is not satisfied, and more complicated situation will be considered in our future works.
In the least-squares fitting, we use the linear function written as: where β j is the slope for j-th sliding window and ε ij is a noise term.
The black broken line illustrates fitted lines using the linear function.
In order to extract the trends, we fit the data by the least squares method using the linear function (black broken line).
While the preference degree can be expressed by two types of functions: linear and Gaussian, this research uses the linear function, which requires two parameters to determine each preference: an indifference threshold (q) and the preference threshold (p).
Comparison of the three methods used for calculation of the total amount of emission showed that they are all acceptable, but the best method for representing data of MGM in short times (5 h) is using the linear function, whereas the use of a linear function for representing the trend of NH3 emission in longer duration (day) is not justified.
When using the linear function as the kernel function, with the algorithm convergence at 205 iterate steps, there are only 35 support vectors, which is the least of the four kernel functions.
Specifically, using the linear function in Eq. (8) and A[ l]=X[ l]F T, we have hat{{text{boldmath{(mathrm{A})}}}}=mathbf{X}{mathbf{F}^{T}}+{mathbf{E}}.
Therefore, by using the linear function reported in Fig. 6b, it is possible to calculate the average temperature of the sample by means of the following equation: Fig. 6 Absorption spectra of the sample for different values of temperature (a) and linear fit of the intensity of the DNA absorption peak (at λ = 260 nm) versus the temperature (b).
If the interval of experimentation does not include the M-plateau phase, then vectorial capacity is calculated as above, using the linear function bi(N).
As a simple approximation, growth rates were adjusted to cell volume using the linear function shown in Figure 1H, but comparable results were obtained by fitting alternative functions to the data or using a probability density function.
