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The coefficients b s x are chosen in such a way that the operator A h x approximates in a specified way the operator A x.
The coefficients b s t, x are chosen in such a way that the operator A h t, x approximates in a specified way the operator A t, x.
The consideration of non-monotone arguments of other than pure mathematical interest can be justified by the fact that it approximates (in a more accurate way) the natural phenomena described by an equation of type (E) or ((mathrm{E}^{prime})).
The coefficients (a_{r,s}^{x}) are chosen in such a way that the operator (h^{-k}sum_{-kleq sleq s_{k}}alpha _{s,k}overline{varphi }^{h} ( x^{prime },sh ) ) approximates in a specified way the operator (A_{2}^{x}).
The coefficients (a_{r}^{x}) are chosen in such a way that the operator (A_{1h}^{x}) approximates in a specified way the operator sum_{vert rvert =2m}a_{r}(x frac{partial ^{vert rvert }}{partial x_{1}^{r_{1}}cdots partial x_{n-1}^{r_{n-1}}}.
The coefficients (alpha _{s,k}) are chosen in such a way that the expression h^{-k}sum_{-kleq sleq s_{k}}alpha _{s,k} overline{varphi }^{h} bigl( x^{prime },sh bigr) approximates in a specified way the expression (varphi ^{ ( k ) } ( x^{prime },0 ) ).
Similar(52)
By means of a Linear Matrix Inequality (LMI) problem based on first order Pade approximation for time delay this performance guaranteed time delay bound is approximated in a systematic way.
Trumpets are approximated in a simple, chordal fanfare, and the guitar (no surprise here) is imitated in a pizzicato section.
The list of these thinkers and artists is too long to try to approximate in a short article but Mendelson's accrediting traces the names, books and ideas which underwrite Auden's most important works.
For nonlinear systems filtering can be approximated in a systematic way by particle filters.
First, the bandwidth of two conventional circuits is theoretically approximated in a new and simple way.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com