Sentence examples for method of substitution from inspiring English sources
Indeed, we arrive at mathematical equations by "the method of substitution": "starting from a number of equations, we advance to new equations by substituting different expressions in accordance with the equations" (6.24).
Sampling was performed by the method of substitution (the interviewer called a new number if there was no reply) and the total number of telephone calls was not documented.
Maximum Likelihood phylogeny and ML bootstraps for 100 replicates were inferred using PhyML with the HKY method of substitution (transition/transversion ratio = 4.18) and nine categories of substitution rates with alpha (0.28) and the number of invariable sites (0.0) estimated from the dataset.
We have no valid explanation for this relationship so far, perhaps because it is not biologically relevant – this relationship is the single result that was not recovered when we used other methods of substitution rate estimation (see Additional file 3).
All results below the higher detection limits were assigned a value of that detection limit divided by the square root of two, a commonly applied method for substitution of censored data when the data are not expected to be normally distributed (Hornung and Reed 1990).
Therefore, it must be transformed into a standard form by the method of variable substitution.
end{aligned} (1.2 The iterative method (1.2) is also known as Picard iteration or the method of successive substitution.
The iterative method (1.2) is also called a Richardson iteration, a Picard iteration, or the method of successive substitution.
The method is shown to be more versatile than the traditional method of successive substitution and computationally more efficient for cycles which converge slowly to the periodic state.
The missile is idealized as a non-uniform beam where the bending elastic deflections are modelled using the method of modal substitution.
Then based on the linear elastic Hooke equations and the Reynolds equation, mathematical models of the contact pressure, film thickness and leakage with the method of variable substitution are established.
