The phrase "approximated by only" is correct and usable in written English.
It can be used when indicating that something is estimated or calculated using a limited or specific method or set of data.
Example: "The value of the variable was approximated by only a few data points, leading to potential inaccuracies."
Alternatives: "estimated using just" or "calculated by merely".
Rigidity is approximated by only allowing stereoconfigurations in rings with more than seven atoms.
It postulates that sparse or compressible signals, i.e., the signals that can be represented or well approximated by only a few non-zero coefficients in some domain, can be sampled and recovered from fewer number of measurements than traditionally required.
This can aid to find out the dominating mechanism on solute transport, and therefore the performance of breakthrough curve can be approximated by only one function in some specific cases.
This lower bound has been commonly used in other domains, such as reliability analysis and referred to as Li-Silvester bound [17], where the tiresome calculation of an expected value over a large state space is approximated by only using the dominant terms in the summation.
ATP can buffer calcium as well as magnesium; but using a reduced reaction this can be approximated by only modeling the calcium binding, as changes in total free Mg concentration are small [ 36].
Due to the spectrum decay, the term p t (x i,x j ) in (7) can be well approximated by summing only a few elements.
Therefore, our approach is most suited for the class of functions with low sample complexity [13], where the output can be accurately approximated by looking only at a small fraction of the database.
To account for the impact of the synchronization errors Δ τ and Δ θ, we follow the approach in [22], whereby the sinc waveform g(t) is approximated by retaining only two sidelobes on either side.
Another benchmark proposed by Kausel and Roesset contributes an alternative, in which the dynamic stiffness matrix is expanded in terms of wave number and approximated by taking terms only up to the second order of the wave number.
Clearly, frequency response (14) can only be approximated by a FIR filter, but the approximation is acceptable for large.
Additionally, low-order modes are approximated by singly-asymptotic expansions only to increase the robustness of the formulation.
