The method of transformation of an arbitrary set of binary vectors into a~set of orthogonal binary vectors
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 264-268.

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Both technique and algorithm for transformation of an arbitrary set of binary vectors into the set of mutually orthogonal ones are proposed. The constraint for the dimension of such linearly independent space is obtained.
Keywords: cytoskeleton microtubules, Hopfield neural network.
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Evgeny E. Slyadnikov; Ilya A. Borilo. The method of transformation of an arbitrary set of binary vectors into a~set of orthogonal binary vectors. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 264-268. http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a12/

[1] R. Penrouz, Teni razuma: v poiskakh nauki o soznanii, IKI, Izhevsk, 2005

[2] I. N. Herstein, “Orchestrated Reduction of Quantum Coherence in Brain Microtubules”, Journal of Consciousness Studies, 1 (1994), 91–118

[3] E. E. Slyadnikov, “Fizicheskaya model i assotsiativnaya pamyat dipolnoi sistemy mikrotrubochki”, ZhTF, 77:V 7 (2007), 77–86

[4] J. J. Hopfield, “Neural networks and physical systems with emergent collective computationa”, Proc. of National Academy of Sci., 79:8 (1982), 2554–2558 | DOI | MR

[5] D. O. Hebb, The Organization of Behavior, Wiley, New York, 1957

[6] P. Lankaster, Teoriya matrits, Nauka, M., 1973 | MR