Zobrazeno 1 - 10
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pro vyhledávání: '"Ya. O. Kalinovsky"'
Autor:
Ya. O. Kalinovsky, Yu. E. Boyarinova
Publikováno v:
Реєстрація, зберігання і обробка даних. 18:13-21
It is investigated the reduction of the amount of calculation when using representations for functions of hyper-complex variable such as exponent, trigonometric and hyperbolic ones as compared with their direct calculation utilizing the summation of
Publikováno v:
Реєстрація, зберігання і обробка даних. 18:14-22
It is considered the process of mathematical modeling for representations of hyperbolic and trigonometric nonlinearities in hypercomplex number system of generalized quaternions by the method of associated system of differential equations. Some prope
Publikováno v:
Реєстрація, зберігання і обробка даних. 17:11-20
The process of mathematical modeling representations of exponential and logarithmic functions in hypercomplex number system using generalized quaternion defining a linear differential equation with hypercomplex coefficients is being considered. Some
Publikováno v:
Реєстрація, зберігання і обробка даних. 17:48-55
The investigation touches upon the use of hypercomplex number system of the fourth dimension: a generalization of quaternions for to build a digital signature algorithm. Tabl.: 3. Refs: 18 titles.
Publikováno v:
Реєстрація, зберігання і обробка даних. 17:36-45
The class of non-commutative hypercomplex number systems of 4-dimension, constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional systems is investigated and established their relations with the generalized qua
Autor:
Ya. O. Kalinovsky, I. V. Khitsko
Publikováno v:
Реєстрація, зберігання і обробка даних. 16:3-11
Constructing optimal parametric sensitivity method based on using of non-canonical hypercomplex number systems (HNS) is proposed and investigated. It has been shown that the use of non-canonical HNS with grater number of non-zero structure constants
Publikováno v:
Реєстрація, зберігання і обробка даних. 16:12-24
The class of non-commutative hypercomplex number systems (HNS) of 4-dimension constructed by using of non-commutative procedure of Grassman-Clifford doubling of 2-dimensional systems is investigated. All HNS of this class are constructed, algorithms
Autor:
Ya. O. Kalinovsky
Publikováno v:
Реєстрація, зберігання і обробка даних. 16:42-51
Представлено результати досліджень симетрій оператора ізоморфізму гіперкомплексних числових систем. Використання цих ізоморфізмів д
Publikováno v:
Реєстрація, зберігання і обробка даних. 17:14-28
It is synthesized matrix representations of a class of non-commutative hypercomplex number sys-tems of the fourth dimension built with the help of non-commutative procedures of doubling of the Grassmann-Clifford systems of the second dimension. Refs:
Autor:
T. S. Sinkova, Ya. O. Kalinovsky
Publikováno v:
Реєстрація, зберігання і обробка даних. 16:9-18
It has been presented methods for the synthesis of algorithms of fast computing cyclic convolution of numeric array having length of 2n. These methods are based on the representation of special hypercomplex number systems that have such the isomorphi