Search results

Jump to: navigation, search

Page title matches

  • ==Application of paraxial approximation== ...optic for visible range of electromagnetic waves referred to the paraxial approximation, although the equation (3) is attributed to Ginsgurg and Landau and corresp
    3 KB (496 words) - 18:25, 30 July 2019
  • Fig.3. [[Taylor approximation]] (4) with 48 terms; \(!u\!+\!\mathrm i v= P_{48}(x\!+\!\mathrm i y)\), lef [[File:SuZexoMapJPG.jpg|600px|thumb|Fig.4. Map od the Asymptotic approximation \(Q_{20}~\) by equation (\(~\)); \(~u\!+\!\mathrm i v= Q_{20}(x_1+x\!+\!\m
    14 KB (2,037 words) - 18:25, 30 July 2019
  • #redirect [[AuZex Approximation]]
    33 bytes (3 words) - 06:58, 1 December 2018
  • #redirect [[AuZex Approximation]]
    33 bytes (3 words) - 15:01, 20 June 2013
  • [[File:TangentGraphic2.png|300px|thumb|Linear approximation of a smooth function <ref>http://en.wikipedia.org/wiki/Linear_approximation [[Linear approximation]] refers to the simple model of any phenomenon, based on the linear functio
    4 KB (670 words) - 18:46, 30 July 2019

Page text matches

  • (Note that in this approximation, there is no such thing as a spontaneous absorption.) ...way to prohibit the [[perpetual motion of Second kind]] in the two–level approximation. Any deviation of the cross-sections from the McCumber relation leads to th
    16 KB (2,521 words) - 15:13, 17 June 2020
  • ! approximation of <math>c_n</math> <tr><th><math>n</math></th> <th><math>g_n</math></th> <th>approximation of <math>g_n</math></th> </tr>
    27 KB (3,925 words) - 18:26, 30 July 2019
  • The data by "Nature" and "Science Insider" data could be used to correct the approximation of data by Mainichi, shown in the top figure, but the calibration is necess
    42 KB (5,776 words) - 12:14, 20 November 2021
  • The data by "Nature" and "Science Insider" data could be used to correct the approximation of data by Mainichi, shown in the top figure, but the calibration is necess
    45 KB (6,219 words) - 15:14, 21 August 2019
  • The evaluation with 9 polynomials \(P\) gives an approximation of \(\tilde F(z)\) with 15 decimal digits at \(\Re(z)\!>\!4\). With the [[complex double]] precision, the resulting approximation returns of order of 14 correct decimal digits in the whole complex plane
    21 KB (3,175 words) - 23:37, 2 May 2021
  • ...latitude \(\alpha\) and the geographic longitude \(\delta\). In the first approximation, the Earth is assumed to be a sphere, while the vertical profile (hills, mo
    14 KB (2,275 words) - 18:25, 30 July 2019
  • ...the circle of radius of 30 km is prescribed. The figures indicate that the approximation of the contaminated region with the circle is very poor, irresponsible, non ...out the shape of the contaminated region, that could confirm or reject the approximation shown in the article [[Fukushima disaster]] and help the refugees to make d
    26 KB (3,915 words) - 18:25, 30 July 2019
  • The approximation of the relaxation power \(P\) with elementary function
    10 KB (1,441 words) - 18:44, 30 July 2019
  • In the first approximation, at fixed concentration of the vapor,
    25 KB (3,622 words) - 08:35, 3 May 2021
  • ==Linear approximation== At \(-2.1<x<0.1\), this approximation provides at least 2 significant figures. Let \(\delta\) be he deviation,
    7 KB (1,090 words) - 18:49, 30 July 2019
  • Extrapolation of the quasi-optical approximation in the atmospheric physics <ref name="r62">
    100 KB (14,715 words) - 16:21, 31 October 2021
  • ...00.png|600px|right|thumb|\(y=\mathrm{ArcFactorial}(x)\) and its asymptotic approximation]]
    3 KB (414 words) - 18:26, 30 July 2019
  • In this case, the axioms of arithmetics should be considered as very good approximation for practical operation with integer quantities.
    9 KB (1,393 words) - 00:41, 7 July 2020
  • The approximation for \(F\) above is food while \(-\Re(z)\) is large; for other values of \(z
    5 KB (798 words) - 18:25, 30 July 2019
  • Then, the expansion (3) gives the primary approximation of the superfunction ...nsion above is plotted with brown line in the figure at right; the primary approximation with two terms is plotted with red line.
    20 KB (3,010 words) - 18:11, 11 June 2022
  • The series (2) diverges, but the equation (1) allow to transfer the approximation from the range where it is valid (sufficient values of \(-\Re(z)\) to other «[[SuZex approximation]]»,
    18 KB (2,278 words) - 00:03, 29 February 2024
  • ...if the [[Mizugadro number]] exists, the arithmetics remains as very useful approximation with wide range of applicability.
    44 KB (5,981 words) - 21:41, 22 June 2020
  • The last equation determines the decay of the curl in the approximation without turbulence. The angular momentum conserves; therefore, while the cu The hundreds programmers work on the efficient numerical approximation for the solutions of the Navier-Stokes equation during a half-century;
    7 KB (1,149 words) - 18:26, 30 July 2019
  • ...of stationary action]] might be a key to the breakthrough in the efficient approximation of the solutions. The text below uses the ideas by [[Enrico Sciubba]]
    5 KB (737 words) - 18:26, 30 July 2019
  • ...sform is identical, id est, \(y\!=\!x\) and \(v\!=\!u\); and in the linear approximation with respect to \(\varepsilon\),
    9 KB (1,358 words) - 18:27, 30 July 2019
  • This concept is good approximation in the description of the most of processes happening at the surface of the
    2 KB (292 words) - 18:27, 30 July 2019
  • ...e adiabatic rotation of the spin at the movement of the atom. In the first approximation, magnitude (but not orientation) of the magnetic field is responsible for e
    9 KB (1,400 words) - 18:26, 30 July 2019
  • ...mall incident velocities for the particles means that the non-relativistic approximation to quantum mechanics is all that is required. ==Single-dimensional approximation==
    16 KB (2,453 words) - 18:26, 30 July 2019
  • ...lid at <math>KL\!~\theta^2\ll 1</math>. See [[quantum reflection]] for the approximation (fit) of the function <math>~r_0~</math>.
    6 KB (906 words) - 07:04, 1 December 2018
  • with initial approximation \(L\approx\mathrm i\).
    4 KB (574 words) - 18:26, 30 July 2019
  • // [[fslog.cin]] (implementation of [[ArcTetraton]], approximation of function [[ate]] )
    3 KB (529 words) - 14:32, 20 June 2013
  • ...es]] happened to be very efficient in calculation the coefficients for the approximation for the [[superfunctions]] and [[Abel functions]] using the expansions in v ...20 30 October, 2014 ISSN 1992-1950, pages 444-453 </ref> in the [[paraxial approximation]]. Fortunately, one of tests of the self–consistency of the result (See [
    12 KB (1,901 words) - 18:43, 30 July 2019
  • ...example, one of readers was surprised to see that the [[Newton method]] of approximation of the solution of an equation works well not only for real numbers, but al
    7 KB (1,216 words) - 18:25, 30 July 2019
  • ...stored in file arcyulya0.m in the working matlab directory; then the rough approximation for the \(\mathrm{ArcYulya}_a(f)\) Practically, the adjusting of the approximation with the straightforward [[Newton method]] described below seems to be more
    12 KB (1,754 words) - 18:25, 30 July 2019
  • In the shaded range, the precision of the approximation is less than 3; outside that region, the truncated series with the last ter ...g)^4\) return more than 3 significant decimal digits. The precision of any approximation is evaluated as follows:
    27 KB (4,071 words) - 18:29, 16 July 2020
  • The expansion can be used for approximation of [[LambertW]] while \(|t|\!<\!1\), id est, while the argument of [[Lamber ==Approximation of LambertW==
    8 KB (1,107 words) - 18:26, 30 July 2019
  • ...t from the limits of applicability of a simple model; for this reason, the approximation of transfer function of the commercial laser amplifier with the Doya functi ...ain \(t\) and the saturation power \(P_{\rm sat}\). The comparison of such approximation to the experimental measurements should be greatly appreciated.
    19 KB (2,778 words) - 10:05, 1 May 2021
  • ...efficient is the Fourier transform in the consideration of the [[paraxial approximation]] of the wave equations. ...l approximation of the Fourier operator is much better, than the 1st order approximation of the function and its Fourier transform with the arrays \(A\) and \(B\),
    11 KB (1,501 words) - 18:44, 30 July 2019
  • ...this indicates that, perhaps, the routine works correctly and returns the approximation for the sum by equaiton (1).
    6 KB (1,010 words) - 13:23, 24 December 2020
  • Map <b>e</b> at the top of the figure corresponds to the "linear" approximation \(f=\mathrm{uxp}\) by M.H.Hooshmand ...rate the complex plane to the set of almost iindependent strips, where the approximation is holomorphic.
    14 KB (1,972 words) - 02:22, 27 June 2020
  • ...erical aperture]] of the [[pulling beam]] and disappears in the [[paraxial approximation]].
    1 KB (209 words) - 14:33, 20 June 2013
  • ...t renewed. The only preliminary results of the limits of the single–mode approximation in the Quantum Optics had been published in the past century ...v, E.Gomez. <!--Automodulation of optical pulses and limits of single-mode approximation.
    10 KB (1,625 words) - 18:44, 30 July 2019
  • [[File:Rusa2014.10.28t.jpg|400px|thumb|[[Linear approximation]] of price of rouble indicates, that the national valute of Russia should c
    198 KB (2,643 words) - 16:01, 30 April 2021
  • From the solution \(f\), the approximation for \(F\) is defined with equation (11). The 0th iteration for \(f\) are shown in the figure; the 0th approximation is shown with thick light lines.
    6 KB (987 words) - 10:20, 20 July 2020
  • ...ors=J.-F.Bisson, J.Li, K.Ueda|title=Self-pulsing laser as oscillator Toda: Approximation through elementary functions|journal=[[Journal of Physics A]]|volume=40|pag
    12 KB (1,757 words) - 07:01, 1 December 2018
  • In vicinity of the branch point, the approximation can be written as follows: For the complex double implementation, the approximation of the table above can be used:
    9 KB (982 words) - 18:48, 30 July 2019
  • The replacement of \(J\) and \(H\) to thier approximations gives the approximation<br>
    4 KB (509 words) - 18:26, 30 July 2019
  • The truncated series with tree terms gives approximation called \(\mathrm{Left}_3\) shown at the figure; it approximates ArcCosc at ...expansions of the function at its branch points is used to get the primary approximation, then the value is adjusted with the Newton algorithm.
    8 KB (1,137 words) - 18:27, 30 July 2019
  • The numerical solution of the equation (3) gives the approximation
    4 KB (581 words) - 18:25, 30 July 2019
  • For comparison, in the figure the approximation of [[ArcCosc]] is also shown: All the three approximations above look very similar; they give hint for the approximation of other branches of the inverse of function [[Cosc]].
    6 KB (896 words) - 18:26, 30 July 2019
  • ...00.png|600px|right|thumb|\(y=\mathrm{ArcFactorial}(x)\) and its asymptotic approximation]]
    3 KB (376 words) - 18:26, 30 July 2019
  • ==Application of paraxial approximation== ...optic for visible range of electromagnetic waves referred to the paraxial approximation, although the equation (3) is attributed to Ginsgurg and Landau and corresp
    3 KB (496 words) - 18:25, 30 July 2019
  • ...ropagation of waves with circular (radial) symmetty. <!--in the [[paraxial approximation]] !-->
    8 KB (1,183 words) - 10:21, 20 July 2020
  • ...d for various sets of parameters, varying for orders of magnitude, so, the approximation (13) happens to be pretty universal. This gives the approximation for the tranzversal wavenumber \(p\) in the following form:
    15 KB (2,070 words) - 18:47, 30 July 2019
  • The precision of corresponding approximation of [[BesselJ0]]\((x)\) reaches the machine precision at \(x>20\).
    6 KB (913 words) - 18:25, 30 July 2019

View (previous 50 | next 50) (20 | 50 | 100 | 250 | 500)