Sentence examples for and the approximation is from inspiring English sources

The phrase "and the approximation is" is correct and usable in written English.
It can be used when providing a calculated or estimated value in a discussion or explanation.
Example: "After analyzing the data, we found that the approximation is 42.7."
Alternatives: "and the estimate is" or "and the calculated value is".

Exact(10)

The latter is the velocity of the beam footprint that moves along the surface of the earth and the approximation is mainly due to the fact that the satellite orbit is only approximately circular.

Note that the difference between the exact value and the approximation is very small.

Figure 4 demonstrates that for larger and smaller, the difference between two curves is trivial and the approximation is well.

But a larger number of angular intervals will result in a more complex decision process and the approximation is useful only if it is amenable to efficient implementation.

As a consequence, if k ˜ 1 − α is the 1 − α quantile of, n k n, 1 − α tends to k ˜ 1 − α and the approximation is valid as soon as n > 45 [34] (see also Durbin's modification in [27]).

In Figure 3, the throughput of the BE users based on the real SINR-rate mapping and the approximation is shown over the average number of active BE users.

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Similar(49)

For special transmission functions such as Fresnel lenses, approximations can be found analytically16,17, but these methods do not generalize to arbitrary target transmission functions, and the accuracy of the approximation is limited.

The MILP also gives a lower bound estimation of the original non-linear problem, and the accuracy of the approximation is improved by iteratively updating the MILP.

GTRCAT allows the integration of rate heterogeneity into phylogenetic analyses at significantly lower computational and memory costs; however, the approximation is numerically instable.

So, what computer scientists tend to mean by "approximate" in these cases is something very specific about how great the approximation is, and they tend to mean something that is very close to exact.

The estimated maximum PTVFA was 0.26 g total VFAs/g CODf at 2.14-day HRT and pH 6.44, and the approximation was experimentally validated by running triplicate reactors under the estimated optimum conditions.

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