Translative covering of a square by a sequence of arbitrary-oriented squares: Part II

• Autorzy: Januszewski, J.
• Języki publikacji: EN

Abstrakty

EN

Given a collection of squares of arbitrary side lengths whose total area is at least 3. Then the unit square can be covered by translates of these squares.

Słowa kluczowe

PL

geometria dyskretna; algorytmy

EN

discrete geometry; algorithms; translative covering

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 441-454
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Januszewski, J.

• Institute of Mathematics and Physics University of Technology and Life Sciences ul. Kaliskiego 7, 85-796 Bydgoszcz, Poland,

Bibliografia

• [1] M. S. El Naschie, On the uncertainty of Cantorian geometry and two-slit experiment, Chaos, Solitons and Fractals 9 (1998), 517-29.
• [2] M. S. El Naschie, A review of E-infinity theory and the mass spectrum of high energy particle physics, Chaos, Solitons and Fractals 19 (2004), 209-36.
• [3] M. S. El Naschie, On a fuzzy Kahler-like manifold which is consistent with two-slit experiment, Int. J. Nonlinear Sci. Numer. Simulation 6 (2005), 95-8.
• [4] M. S. El Naschie, The idealized guantum two-slit gedanken experiment revisited - Criticism and reinterpretation, Chaos, Solitons and Fractals 27 (2006), 9-13.
• [5] A. George and P. Veeramani, On some result in fuzzy metric space, Fuzzy Sets Systems 64 (1994), 395-9.
• [6] V. Gregori and A. Sapena, On fixed-point theorem in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002), 245-52.
• [7] G. Jungck and B. E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), 227-238.
• [8] I. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 326-34.
• [9] D. Miheţ, A Banach contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems 144 (2004); 431-9.
• [10] J. Rodríguez López and S. Ramaguera, The Hausdorff fuzzy metric on compact sets, Fuzzy Sets and Systems 147 (2004), 273-83.
• [11] B. Schweizer, H. Sherwood and R. M. Tardiff, Contractions on PM-space examples and counterexamples, Stochastica l (1988), 5-17.
• [12] L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-53.