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File:Acosc1plotT.png ...the figure, function [[ArcCosc]]=acosc is also plotted and compared to its approximation(851 × 2,728 (203 KB)) - 09:41, 21 June 2013
File:AuZexLamPlotT.jpg See [[AuZex approximation]] for details.(2,508 × 841 (169 KB)) - 08:30, 1 December 2018
File:AuZexMapT.jpg See the [[AuZex approximation]] for the details.(4,367 × 4,326 (1.53 MB)) - 08:30, 1 December 2018
File:DoyaplotTc.png The linear approximation in vicinity of zero $y=T'(0) x =\mathrm e x~$ The quadratic approximation in vicinity of zero $y=T'(0) x +\frac{1}{2}T''(0)x^2 =\mathrm e x - \mathrm(881 × 1,325 (95 KB)) - 09:43, 21 June 2013
File:DSC01693bangkokA.JPG ...on^3$, and so on, getting the asymptotic series. The series gives the good approximation at small values of $\varepsilon$. ...nds to large negative values of $x$. For these values we have good primary approximation.(1,143 × 1,098 (109 KB)) - 09:43, 21 June 2013
File:DSC01695bangkok.JPG .. Here is primary approximation with two terms held in the asymptotic expansion ..(2,048 × 1,536 (1.13 MB)) - 09:43, 21 June 2013
File:FourierExampleGauss04Ta.png at zero, the initial approximation is few percent higher, than its Fourier transform, and for few percent lowe ...some [[natural number]] $m$) and observing how quickly the quality of the approximation improves with the increase of N.(1,287 × 266 (35 KB)) - 09:39, 21 June 2013
File:FourierExampleGauss16pol04Ta.png [[Explicit plot]] of the [[self-Fourier function]] and its discrete approximation.(2,134 × 470 (88 KB)) - 09:39, 21 June 2013
File:McCumberRelationActiveCemters.png Active centers of a composite [[laser medium]] in the simplest two-level approximation(676 × 362 (19 KB)) - 11:21, 21 June 2013
File:Newton2011 7 27b.jpg indicating that the recalculation uses the approximation(1,025 × 1,377 (81 KB)) - 09:38, 21 June 2013
File:SeregaFunction03.png '''Drawing of the trigonometric approximation of the [[Serega function]]'''(2,509 × 434 (51 KB)) - 08:51, 1 December 2018
File:SimudoyaTb.png Brown curve and the red curve represent the primary approximation of $F$ with one term and with two terms of the asymptotic expansion, respec ...corresponding dark colors represent the regular iterations of the primary approximation with single term.(3,388 × 1,744 (537 KB)) - 08:51, 1 December 2018
File:SuZex0map48small.png ...uZex]] is entire, and the Taylor series converges at any $z$; the range of approximation increase increasing number of terms taken into account. Practically, due to(1,230 × 1,230 (734 KB)) - 09:43, 21 June 2013
File:SuZexD1mapT.png [[SuZex]] is built-up at the fixed point zero from asymptotic behavior; the approximation below is implemented:(2,576 × 2,559 (1.04 MB)) - 08:53, 1 December 2018
File:SuZexo20testTjpg.jpg [[Agreement map]] for the asymptotic approximation $Q_{20}$ of function [[SuZex]].(4,576 × 4,542 (1.81 MB)) - 17:14, 25 September 2013
File:SuZexoMapJPG.jpg [[SuZex approximation]] at large values of the argument. Coefficients $a$ are calculated substituting the approximation (1) into the [[transfer equation]](4,576 × 4,542 (1.73 MB)) - 17:15, 25 September 2013
File:SuZexTay0testT.png Agreement $A_{48}$ of the [[Taylor approximation]] of the [[SuZex]] at zero with highest term of 48th power; [[Category:Taylor approximation]](1,230 × 1,230 (354 KB)) - 09:43, 21 June 2013- Error creating thumbnail: File with dimensions greater than 12.5 MP
File:SuZexTay2008deviT.png Map of agreement $C_{80}$ of the approximation $\Phi$ of the [[SuZex]].(4,576 × 4,542 (1.54 MB)) - 09:43, 21 June 2013 
File:SuZexTay2008deviTjpg.jpg ...C_{80}$ of the approximation $\Phi$ to the function [[SuZex]], see [[SuZex approximation]] for the description.(4,576 × 4,542 (1.93 MB)) - 17:14, 25 September 2013
File:SuZexTay2008t12MapT.jpg However even at $n\!=\!0, this the reasonable approximation for $x_1$.(4,576 × 4,542 (1.71 MB)) - 09:43, 21 June 2013
