"from this approximation" is a correct and usable phrase in written English.
It can be used in a sentence to refer to a method of estimating or calculating something. Example: "The exact value of the equation cannot be determined, but we can get a close estimate from this approximation."
From now on, we will refer loosely to the elemental distance Markov chain, meaning, when appropriate, the Markov chain derived from this approximation.
The negative implications from this approximation were assessed as minor since data were only used in the estimation of the dose to the heart.
In the calculations concerning the frequency interval between 0 and 60 Hz for the sub-ballast complex modulus, we have taken the highest value of 2.0E+09 N/m2, at a fixed temperature of 10 °C and invariable for the frequency, by serving the security in the design determinations, since from this approximation descends a higher stress state.
A slightly expanded definition: "a simplified, mathematically formalized way to approximate reality (i.e. what generates your data) and optionally to make predictions from this approximation".
However, in typical cases,, and any difference arising from this approximation would be inconsequential.
Usually, from a mathematical perspective, this approximation is done from the left by closed sets, or more restrictive, by compact sets and/or from the right by open sets.
By means of computer simulations, we show that the Viterbi decoder that uses the EM channel estimate resulting from this APP approximation experiences a negligible degradation in frame error rate (FER) performance, as compared to using the exact APPs in the channel estimation process.
It is clear from Figure 3 that this approximation is quite accurate for moderate values of the STO.
We can obtain the overall (unconditioned) covariance of and from these parts: (A6) This approximation assumes E[ r″] ≈ r.
The essence of this method consists in construction of an initial approximation of the feedback matrix such that a numerical sequence, which generated by arbitrary iterative method and beginning from this initial approximation, converges to an exact solution of the feedback design problem.
