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- Andrzej Kapanowski
- ArXiv
- 2013

Python implementation of permutations is presented. Three classes are introduced: Perm for permutations, Group for permutation groups, and PermError to report any errors for both classes. The class Perm is based on Python dictionaries and utilize cycle notation. The methods of calculation for the perm order, parity, ranking and unranking are given. A random… (More)

- Andrzej Kapanowski
- ArXiv
- 2010

Python implementation of Algorithm X by Knuth is presented. Algorithm X finds all solutions to the exact cover problem. The exemplary results for pentominoes, Latin squares and Sudoku are given.

- A. Kapanowski, K. Sokalski
- 1999

Microscopic expressions for the elastic constants of binary liquid crystalline mixtures composed of short rigid uniaxial molecules are derived in the thermodynamic limit at small distorsions and a small density. Uniaxial and biaxial nematic phases are considered. The expressions involve the one-particle distribution functions and the potential energy of… (More)

- A Kapanowski
- Physical review. E, Statistical, nonlinear, and…
- 2007

A statistical theory for the dipole flexoelectric (FE) polarization in liquid crystals is derived in the thermodynamic limit at small distortions and a small density. General microscopic expressions for the FE coefficients are rederived in the case of the uniaxial nematic phase. The expressions involve the one-particle distribution function and the… (More)

A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded as a distorted form of the uniaxial (biaxial) nematic phase. The chirality of the interactions and the implementation… (More)

- A Kapanowski, T Wietecha
- Physical review. E, Statistical, nonlinear, and…
- 2005

A statistical theory of the dielectric susceptibility of nonpolar liquid crystals, whose constituent molecules are biaxial, is proposed. The ordering is described by means of the mean field theory, in which a set of basic functions is introduced. The dielectric susceptibilities are derived using a generalized Clausius-Mossotti approach. The theory was used… (More)

- Andrzej Kapanowski, L. Galuszka
- ArXiv
- 2015

Python implementation of selected weighted graph algorithms is presented. The minimal graph interface is defined together with several classes implementing this interface. Graph nodes can be any hashable Python objects. Directed edges are instances of the Edge class. Graphs are instances of the Graph class. It is based on the adjacency-list representation,… (More)

- A Kapanowski, M Abram
- Physical review. E, Statistical, nonlinear, and…
- 2014

A system of hard spheroplatelets near an impenetrable wall is studied in the low-density Onsager approximation. Spheroplatelets have optimal shape between rods and plates, and the direct transition from the isotropic to biaxial nematic phase is present. A simple local approximation for the one-particle distribution function is used. Analytical results for… (More)

- A Kapanowski
- Physical review. E, Statistical, nonlinear, and…
- 2008

The dipole flexoelectric (FE) polarization in liquid crystals is derived in the thermodynamic limit at small distortions and small density. General microscopic expressions for the FE coefficients are obtained in the case of the uniaxial and biaxial nematic phases composed of C_{2v} molecules. The expressions involve the one-particle distribution function… (More)

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