|
Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 1, Pages 13–19
(Mi fpm1565)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Rolling simplexes and their commensurability. II (a lemma on the directrix and focus)
O. V. Gerasimova Lomonosov Moscow State University, Moscow, Russia
Abstract:
The law of central-square dynamics
$$
(x,y,z)''=-\frac{4\pi^2k}{(\alpha(x-a)+\beta(y-b)+\gamma(z-c)+\delta)^2}(x-a,y-b,z-c),
$$
expressing the focusing of a plane wave at the point $(a,b,c)$ is discussed and justified.
Citation:
O. V. Gerasimova, “Rolling simplexes and their commensurability. II (a lemma on the directrix and focus)”, Fundam. Prikl. Mat., 19:1 (2014), 13–19; J. Math. Sci., 211:3 (2015), 304–309
Linking options:
https://www.mathnet.ru/eng/fpm1565 https://www.mathnet.ru/eng/fpm/v19/i1/p13
|
Statistics & downloads: |
Abstract page: | 295 | Full-text PDF : | 116 | References: | 64 |
|