LOBACHEVSKY

Liouville s equation, derivation of Boltzmann s equation from, 41 Littlewood, J. E., 388 Lobachevskies method, 79,85 Local methods of solution of equations, 78... 

Sommerville, v-vi. Whereas for Lobachevsky and Bolyai one must consult Henderson, Fourth Dimension, especially 3-6, for what immediately follows, dealing with the strictly esoteric historical evolution of n-dimensional geometry, I am most indebted to Gibbons, Cubism and the Fourth Dimension. ... 

Long Polymer Chain in the Lattice of Obstacles Random Walk in Lobachevsky Space... 

Fig. 7a-c. Conformal transformation of the plane with obstacles (a) to the modular figure with Lobachevsky-metric (b) and its topological structure (c)... 

Unfortunately, for the investigation of random walk statistics in the regular 3D lattice of obstacles the approach based on the idea of conformal transformations cannot be applied. Nevertheless, due to the analogy established in the 2D-case it is naturally to suppose that between random paths statistics in the 3D lattice of uncrossable strings and the free random walk in Lobachevsky space the similar analogy remains. Let us present below some arguments confirming that idea. 

It was at the University of Kazan, in the Russian province of Kazakhstan, that Nicolai Ivanovitch Lobachevsky made his contributions in Non-Euclidean geometry. In his early days at the university, he did try to find a proof of the parallel postulate, but later changed direction. As early as 1826, he made use of the hypothesis of the acute angle already developed by Saccheri and... 

Uryash, V.F., Kokurina, N.Yu., Maslova, V.A., Larina, V.N., and losilevich, I.N., Calorimetric investigations of fungic chitin and its mixtures with water, Vestnik of Lobachevsky State University of Nizhni Novgorod. Seriya Khimiya, Nizhny Novgorod NNUniv. Press, 1998, vyp. 1, pp. 165-170 (in Russian). 

Liu Zhen-Hai (1936-) Chin, chem., thermal analysis of macromolecules (book Calorimetric Measurements 2002) Lobachevski Nikolaj Ivanovich (1793-1856), Rus. math, who gave innovative curved geometry (targeted to concave surfacevof a sphere)... 

---