Temat: Banach-Tarski paradox - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Unreasonable science
Autorzy:: Pierański, Piotr
Powiązania:: https://bibliotekanauki.pl/articles/703759.pdf
Data publikacji:: 2007
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: unreasonable science
common sense
Banach-Tarski paradox
Opis:: It is argued that most of the great discoveries in science, in particular in mathematics and physics, are from the point of view of the common sense unreasonable. A few examples of such discoveries are discussed, among them the Banach-Tarski paradoxical duplication of a sphere, the non-Euclidean geometry, the special theory of relativity and the quantum mechanics.
Źródło:: Nauka; 2007, 1
1231-8515
Pojawia się w:: Nauka
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: The Problem of Aliasing and Folding Effects in Spectrum of Sampled Signals in View of Information Theory
Autorzy:: Borys, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/2055264.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: signal sampling
modeling of sampled signal in the time domain
signal information content
spectrum aliasing and folding
Banach–Tarski-like paradox in signal sampling
Opis:: In this paper, the problem of aliasing and folding effects in spectrum of sampled signals in view of Information Theory is discussed. To this end, the information content of deterministic continuous time signals, which are continuous functions, is formulated first. Then, this notion is extended to the sampled versions of these signals. In connection with it, new signal objects that are partly functions but partly not are introduced. It is shown that they allow to interpret correctly what the Whittaker–Shannon reconstruction formula in fact does. With help of this tool, the spectrum of the sampled signal is correctly calculated. The result achieved demonstrates that no aliasing and folding effects occur in the latter. Finally, it is shown that a Banach–Tarski-like paradox can be observed on the occasion of signal sampling.
Źródło:: International Journal of Electronics and Telecommunications; 2022, 68, 2; 315--322
2300-1933
Pojawia się w:: International Journal of Electronics and Telecommunications
Dostawca treści:: Biblioteka Nauki

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