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when one moves downwards starting from the first row. Now let us define the functions F and G by F (a) = F (d) = F (e) = F (h) = F (i) = F (l) = F (m) = F (p) = +1, F (b) = F (c) = F (f) = F (g) = Fâ€¦ (More)

- Diederik Aerts, Marek Czachor, Bart De Moor
- ArXiv
- 2007

Holographic reduced representations (HRR) are based on superpositions of convolution-bound ntuples, but the n-tuples cannot be regarded as vectors since the formalism is basis dependent. This is whyâ€¦ (More)

- Marek Czachor
- 1996

Two aspects of the relativistic version of the EinsteinPodolsky-Rosen-Bohm (EPRB) experiment with massive particles are discussed: (a) a possibility of using the experiment as an implicit test of aâ€¦ (More)

- Diederik Aerts, Marek Czachor, +4 authors Monika Syty
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

Noncommutative propositions are characteristic of both quantum and nonquantum (sociological, biological, and psychological) situations. In a Hilbert space model, states, understood as correlationsâ€¦ (More)

Diederik Aerts 1 and Marek Czachor 1,2 1 Centrum Leo Apostel (CLEA) and Foundations of the Exact Sciences (FUND) Vrije Universiteit Brussel, 1050 Brussels, Belgium 2 Katedra Fizyki Teoretycznej iâ€¦ (More)

- Marek Czachor, Jan Naudts
- 2002

We show that extensive thermostatistics based on RÃ©nyi entropy and Kolmogorovâ€“Nagumo averages can be expressed in terms of Tsallis nonextensive thermostatistics. We use this correspondence toâ€¦ (More)

- Marek Czachor
- 1991

We discuss two classical situations that lead to probabilities characteristic for systems with spin-1/2. (a) Pitowsky model: It is demonstrated that the definition of spin functions does not implyâ€¦ (More)

- Diederik Aerts, Marek Czachor
- Open Syst. Inform. Dynam.
- 2007

We propose a formalism for describing two-strand systems of a DNA type by means of soliton von Neumann equations, and illustrate how it works on a simple example exactly solvably by a Darbouxâ€¦ (More)

- S. B. Leble, Marek Czachor
- 1998

Nonlinear operator equations one encounters in quantum optics and quantum field theory are typically solved by techniques which are either perturbative or semiclassical (cf. [1,2]). The situation isâ€¦ (More)

The expected utility hypothesis is one of the building blocks of classical economic theory and founded on Savageâ€™s Sure-Thing Principle. It has been put forward, e.g. by situations such as the Allaisâ€¦ (More)