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  • [[File:Norifragment.jpg|300px|thumb|\(u\!+\!\mathrm i v=\mathrm{mori}\big(\sqrt{x\!+\!\mathrm i y}\big)^2=\mathrm{nori}(x\!+\!\mathrm i y)\)]] [[File:Norimap40.jpg|400px|thumb| \(u\!+\!\mathrm i v=\mathrm{mori}\big(\sqrt{x\!+\!\mathrm i y}\big)^2\)]]!-->
    13 KB (1,759 words) - 18:45, 30 July 2019
  • ...at the prestigious historical Russian Academy of Sciences will continue to function as it now does to provide the free and nourishing environment for the advan == Heisuke Hironaka, Shigefumi Mori ==
    41 KB (5,986 words) - 18:44, 30 July 2019
  • [[File:Moriamap1.jpg|300px|thumb|\(u\!+\!\mathrm i v=\mathrm{mori}(x\!+\!\mathrm i y)\)]] [[morias]] is asymptotic approximation of function [[mori]] at large values of its argument.
    3 KB (456 words) - 18:44, 30 July 2019
  • File:Korifit76plot.jpg
    Comparison of function [[mori]] implemented through the definition $y_1=\mathrm{mori}(x)=J_0(L_1\,x)/(1\!-\!x^2)$
    (3,831 × 863 (318 KB)) - 08:40, 1 December 2018
  • File:Koriplot.jpg
    [[Explicit plot]] of function [[kori]]. For $x\!\ne \!1$, the representation through the [[Bessel function]] [[BesselJ0]] is valid,
    (2,947 × 1,037 (197 KB)) - 08:40, 1 December 2018
  • File:Magaplot300.jpg
    [[Explicit plot]] of function [[maga]] and related functions. Thin green curve: $~ y=\,$ [[nori]]$(x)$ $\,=\,$ [[mori]]$\big(\sqrt{x}\big)^2\,=\,$ $\displaystyle \frac{J_0\big(L\, \sqrt{x}\big)
    (4,234 × 896 (401 KB)) - 08:42, 1 December 2018
  • File:MagaplotFragment.jpg
    [[Explicit plot]] of function [[maga]] and related functions. Thin green curve: $~ y=\,$ [[nori]]$(x)$ $\,=\,$ [[mori]]$\big(\sqrt{x}\big)^2\,=\,$ $\displaystyle \frac{J_0\big(L\, \sqrt{x}\big)
    (1,743 × 896 (245 KB)) - 08:42, 1 December 2018
  • File:Moriamap1.jpg
    [[Complex map]] of function [[mori]], prepared for comparison with the imilar map of its asymptotic approximat [[Category:Bessel function]]
    (2,154 × 1,312 (1.44 MB)) - 08:43, 1 December 2018
  • File:Moriasmap.jpg
    [[Complex map]] of the asymptotic approximation [[morias]] of function [[mori]] for large values of the argument. [[Category:Bessel function]]
    (2,570 × 1,520 (1.54 MB)) - 08:43, 1 December 2018
  • File:Moriasmap1.jpg
    [[Complex map]] of asymptotic approximation [[morias]] of function [[mori]] [[Category:Bessel function]]
    (2,154 × 1,312 (1.3 MB)) - 08:43, 1 December 2018
  • File:Morimap.jpg
    [[Complex map]] of the [[Morinaga function]] $\mathrm{mori}(z)= \displaystyle \frac{ J_0(L\, z)}{1-z^2}$
    (2,283 × 1,163 (1.58 MB)) - 08:43, 1 December 2018
  • File:Moriplot300.jpg
    and its scaled [[Bessel transform]], expressed through the [[Morinaga function]] $y\!=\,$[[mori]]$(x)\!=\!$ $\displaystyle \frac{J_0(L_1 x)}{1\!-\!x^2}$ , blue line.
    (2,366 × 572 (139 KB)) - 08:43, 1 December 2018
  • File:MoriplotFragment.jpg
    and its scaled [[Bessel transform]], expressed through the [[Morinaga function]] $y\!=\,$[[mori]]$(x)\!=\!$ $\displaystyle \frac{J_0(L_1 x)}{1\!-\!x^2}$ , blue line.
    (1,917 × 514 (133 KB)) - 08:43, 1 December 2018
  • File:Norifit76fragment.jpg
    Analysis of the approximation of [[nori function]] through function [[korifit76]], ...hrough the straightforward definitions using the [[C++]] built-in [[Bessel function]] double [[j0]](double ).
    (967 × 448 (155 KB)) - 08:44, 1 December 2018
  • File:Norifit76plot.jpg
    Analysis of the approximation of [[nori function]] through function [[korifit76]], ...hrough the straightforward definitions using the [[C++]] built-in [[Bessel function]] double [[j0]](double ).
    (1,070 × 448 (168 KB)) - 08:44, 1 December 2018
  • File:Norifragment.jpg
    [[complex map]] of function [[nori]], $\mathrm{nori}(z)=\,$[[mori]]$\big(\sqrt{z}\big)^2$
    (3,611 × 2,944 (1.71 MB)) - 08:44, 1 December 2018
  • File:Norimap40.jpg
    [[complex map]] of function [[nori]], $\mathrm{nori}(z)=\,$[[mori]]$\big(\sqrt{z}\big)^2$
    (2,833 × 2,844 (1.34 MB)) - 08:44, 1 December 2018
  • File:Noriplot300.jpg
    ...hrough the slit for the teal argument; square of the [[Morinaga function]] mori of modified argument: $y=\mathrm{nori}(x)=\mathrm{mori}\big(\sqrt{x}\big)^2$, blue curve, and
    (2,366 × 498 (139 KB)) - 08:44, 1 December 2018
  • [[kori]] function appears in the calculus of the loss in the [[pinhole waveguide]] in the [[p ...the [[Bessel mode]] to the propagated [[Bessel mode]] is expressed through function [[kori]].
    14 KB (1,943 words) - 18:48, 30 July 2019
  • [[korias]] is asymptotic approximation of function [[kori]]. For \(z\ne1\), function [[kori]] appears as
    2 KB (328 words) - 10:27, 20 July 2020

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