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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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 2018File: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 as2 KB (328 words) - 10:27, 20 July 2020