Temat: multiplication - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On Unconventional Division by Zero
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1177806.pdf
Data publikacji:: 2018
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Unconventional division by zero
multispatial algebraic multiplication
Opis:: Unconventional division by zero can apply to those cases in which some directly incomparable (i.e. unlike or represented in different algebraic bases) abstract objects taken from two distinct algebraic spaces are acted upon or need to be compared. Multispatial reality paradigm is thus necessary for overcoming conceptual inconsistencies arising in the domain of complex numbers when certain valid abstract reasonings from the hypercomplex domains of quaternions and octonions are carried over back to the 2D complex domain.
Źródło:: World Scientific News; 2018, 99; 133-147
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Quaternionic operational infinity
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1031022.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Quaternionic descending infinity
division by zero
multiplication by infinity
Opis:: By analogy to the complex analytic representation of infinity that I have already proposed in my prior paper, it is demonstrated here by examples that a hypercomplex representation of infinity can also be conjectured and formulated in a formwise similar way. Unlike the two-dimensional (2D) complex infinity, which holds in 2D spaces equipped with an orthogonal homogeneous algebraic basis, the 4D quaternionic infinity requires an algebraic or quasigeometric basis that would be either heterogenous if established within a single space or, if it would be established upon a quasigeometric multispatial structure then at least two homogeneous bases are needed for the latter structure. In the latter case orthogonality and isometry are preserved. The multispatiality not only conforms to the experimentally confirmed reality of the quantum Cheshire Cat whose grin was located in a separate beam path from the beam path of the cat but also implies the feasibility of prospective mathematical reformulation of the basically complex (and thus essentially 2D) quantum mechanics in terms of certain hypercomplex 4D quasispatial structures under auspices of the multispatial reality paradigm.
Źródło:: World Scientific News; 2020, 149; 23-35
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Complexification of operational infinity
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1031229.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Complexified descending infinity
division by zero
multiplication by infinity
Opis:: It is demonstrated here by examples that infinitesimal descending infinity is formwise analogous to the Cauchy integral formula. Hence the concept of total, twin operational infinity is represented by complex formula combining the real neverending ascending infinity and the imaginary infinitesimal descending infinity, each depicted in separate abstract spaces that appear as dual reciprocal, though.
Źródło:: World Scientific News; 2020, 148; 60-71
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Quaternionic division by zero is implemented as multiplication by infinity in 4D hyperspace
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1156640.pdf
Data publikacji:: 2018
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Quaternionic division by zero
multiplication by infinity
multispatiality
Opis:: Quaternionic division by zero is implemented as an algebraic multiplication by infinity performed in a 4D multispatial hyperspace. The operation is shown to be possible when it is executed within abstract multispatial hyperspace comprising several pairs of quasigeometric spaces (or quasispatial structures), which are paired as primary and its dual reciprocal space.
Źródło:: World Scientific News; 2018, 94, 2; 190-216
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Unrestricted division by zero as multiplication by the – reciprocal to zero – infinity
Autorzy:: Czajko, Jakub
Powiązania:: https://bibliotekanauki.pl/articles/1030823.pdf
Data publikacji:: 2020
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Division by zero
multiplication by infinity
paired dual reciprocal spaces
Opis:: It is demonstrated that quite unrestricted operation of conventional division by the real number zero can be implemented via multiplication by the – reciprocal to zero – ascending infinity in paired dual reciprocal spaces, provided that the “real” zero and the infinity are mutually reciprocal (i.e. multiplicatively inverse). Since the infinity is not an absolute concept independent of the particular circumstances in which it is being determined, the value of the setvalued infinity is not fixed but depends on an influence function that is usually applied for evaluation of integral kernels, the operations proposed here are always defined relative to a certain abstract influence function. The conceptual and operational validity of the proposed unrestricted division and multiplication by zero, is authenticated operationally by fairly simple example, using an evaluation of Frullani’s integral.
Źródło:: World Scientific News; 2020, 145; 180-197
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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