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    Wyświetlanie 1-9 z 9
    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
    Artykuł
    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
    Artykuł
    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
    Artykuł
    Tytuł:
    Assessment of Seed Systems in North Western Ethiopia; with Special Emphasis on Community Based Seed Multiplication Scheme
    Autorzy:
    Assaye, Abebaw
    Melak, Adane
    Ayalew, Birhanu
    Teshale, Dessalegn
    Mazengia, Yalew
    Powiązania:
    https://bibliotekanauki.pl/articles/1194044.pdf
    Data publikacji:
    2015
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Community based seed multiplication scheme
    Metekel Zone
    Seed system
    Opis:
    This study was aimed at providing an overview and assessment of the current seed systems and performance of Community Based Seed Multiplication Scheme (CBSMS) as well as reviewing challenges and ways for sustainability in Metekel Zone. CBSMS came in to existence in Metekel Zone of Benishangul Gumuz region seed systems in 2008 to narrow the gap between the galloping demand and stagnant supply of improved and quality seed. Pawe Agricultural Research Center (PARC) and its partners have come up with CBSMS with multidimensional support from the former to produce in 2013/14 3279 quintal and in 2014/15 1275 quintal of quality seed. Seed systems in Metekel Zone were observed to be complex and the role of PARC is observed to be vital. The study suggests strengthening the CBSMS as they are the main source of improved seed in the zone. Moreover, proper training of farmers, market information network, incentive mechanism, and controlling the quality of seed should be given emphasis. To make CBSMS sustainable coordination among key partners and proper institutional arrangements is of paramount importance. Strengthening farmers’ association/ union through institutional support should be given priority for sustainability of the scheme.
    Źródło:
    World Scientific News; 2015, 12; 55-65
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
    Tytuł:
    The effect of NAA and BAP on the multiplication of chamomile (Matricaria chamomilla L.) callus tissue in vitro
    Autorzy:
    Mazur, Paweł
    Kulpa, Danuta
    Powiązania:
    https://bibliotekanauki.pl/articles/1075653.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Campyliaceae
    Chamomile
    Matricaria chamomilla
    callus tissue
    growth regulators
    in vitro
    multiplication
    Opis:
    The aim of the study was to determine the effect of the additive on NAA and BAP on the formation of callus tissue on leaf chamomile explants, cultivar, and to determine the optimal content of said growth regulators for the initiation of callus tissue in vitro. During the experiment fragments of chamomile from the collection of the Department of Genetics, Breeding and Biotechnology of Plant were laid on a medium with mineral composition according to Murashige and Skoog - MS (1962) enriched with auxin NAA in concentrations of 3 and 5 mg·dm-3 and cytokinin BAP in a concentration of 1, 2 , 5, 7 mg·dm-3. Based on the conducted experiment it was found that the initiation of callus chamomile tissue is possible in the case of using leaf explants lined with MS in the combination of auxin NAA in concentration 3 or 5 mg·dm-3 and BAP from 1 to 7 mg·dm-3. The propagation of chamomile callus tissue should be carried out on MS proliferating medium enriched with NAA at a rate of 3 mg·dm-3 and BAP in an amount of 7 mg·dm-3. Explants laid on a medium with this composition develop a large mass of callus tissue.
    Źródło:
    World Scientific News; 2019, 125; 245-251
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
    Tytuł:
    An Interval-Valued Intuitionistic Fuzzy Matrices Based on Hamacher Operations
    Autorzy:
    Silambarasan, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031793.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Exponentiation operations
    Fuzzy matrix
    Hamacher product
    Hamacher sum
    Interval-valued intuitionistic fuzzy matrix
    Scalar multiplication
    Opis:
    The objective of this paper is to apply the concept of fuzzy matrices to interval-valued intuitionistic fuzzy matrices. In this paper, we introduce the Hamacher operations of interval-valued intuitionistic fuzzy matrices and prove some desirable properties of these operations, such as commutativity, idempotency and monotonicity. Further, we prove De Morgan's laws over complement for these operations. Then we constructe the scalar multiplication (n._h A) and exponentiation (A^(∧_h n)) operations of interval-valued fuzzy intuitionistic matrices and investigates the algebraic properties.
    Źródło:
    World Scientific News; 2020, 150; 148-161
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some Algebraic Structures of Picture Fuzzy Matrices
    Autorzy:
    Silambarasan, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031777.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Algebraic product
    Algebraic sum
    Exponentiation operations
    Intuitionistic fuzzy matrix
    Picture fuzzy matrix
    Scalar multiplication
    Opis:
    In this paper, the concept of Picture fuzzy matrices, which are direct extensions of an intuitionistic fuzzy matrices. Then we define some algebraic operations of Picture fuzzy matrices, such as max-min, min-max, complement, algebraic sum, algebraic product, scalar multiplication (nA) and exponentiation (A^n). We also investigate their algebraic properties of these operations. Furthermore, we define a new operation(@) on Picture fuzzy matrices and discuss distributive laws in the case where the operations of ⊕_℘,〖 ⊗〗_℘,〖 ∧〗_℘ and ∨_℘ are combined each other.
    Źródło:
    World Scientific News; 2020, 150; 78-91
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-9 z 9

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