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Название журнала: Восточно Европейский Научный Журнал, Выпуск: , Том: , Страницы в выпуске: -
Анотация: Abstract. Algebra of complex numbers can by treated as specific algebra of complex binomials with algo- rithm of multiplication forming new complex binomial. Real and complex binomials ("numbers") may by repre- senting in various ways through relative quantities in numerical or functional form and then merged into monomi- als. The interalgebraic operations of correspondence, concern to set theory, is determined the correspondences between real and complex binomials as well between real and imaginary monomials. The points of the real and complex planes, defined by the two real numbers forming real and complex binomials, are in direct correspondence detrminating by inter algebraical operation of "direct correspondence". The "сross correspondence" is other in- teralgebraic operation carried out through « raising to the imaginary degree". That operation establish correspond- ences between real hyperbolic and complex trigonometric binomials, as well as between real trigonometric and complex hyperbolic binomial, and realised either through binomials themselves, or through monomials (exponen- tial or trigonometric ). Was considered correspondences between exponentials (real and imaginary ) and power functions (real and imaginary) as well as between real and imaginary power functions. Given examples of concret correspondences detween the real and complex numerical binomials. The widely discussed Euler formula com- bined four fundamental numbers of mathematics was analized. It was demonstrated what througth correspondences of real and imaginary elementary "quartic functions" ( the elements of "quartic" sets) may by established correspondences of different real and complex functions. Interdependences between binomials concerned to the same set, established through operations with binomials concerned to another set, should be considered as complex operations of inter-algebraic correspondence.
Данные для цитирования: Кокотов Юрий Абрамович. Доктор химических наук Санкт-Петербург. . СООТВЕТСТВИЕ ВЕЩЕСТВЕННОГО И КОМПЛЕКСНОГО ПРОСТРАНСТВ. МЕЖАЛГЕБРАИЧЕСКИЕ ОПЕРАЦИИ СООТВЕТСТВИЯ.. Восточно Европейский Научный Журнал. Физико-математические науки. ; ():-.