The law of central-square dynamics
expressing the focusing of a plane wave at the point (a, b, c) is discussed and justified.
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O. V. Gerasimova, “Rolling simplexes and their commensurability. I. The axiom and criterion of incompressibility and the momentum lemma,” Fundam. Prikl. Mat., 17, No. 2, 87–95 (2011/2012).
Yu. P. Razmyslov, “An explanation to “Rolling simplexes and their commensurability” (field equations in accordance with Tycho Brahe),” Fundam. Prikl. Mat., 17, No. 4, 193–215 (2011/2012).
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 1, pp. 13–19, 2014.
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Gerasimova, O.V. Rolling Simplexes and Their Commensurability. II (A Lemma on the Directrix and Focus). J Math Sci 211, 304–309 (2015). https://doi.org/10.1007/s10958-015-2606-z
- Cauchy Problem
- Plane Wave
- Scalar Product
- Harmonic Oscillator