Sukhotin A.M.
THE ALTERNATIVE ANALYSIS: THEORY AND APPLICATIONS
Национальный исследовательский Томский политехнический университет
Abstract The principles of the alternative analysis have three main components: 1) there is the demonstrative refutation of the hypothesis about the existence of injective mappings if , 2) there is a proof of existence of such Cauchy sequences that does not limited with any finite number and 3) there is a proof of convergence independence of any alternative number series from permutation of this series terms.
Keywords The criterion of bijectivity, C-exact pair, a potentially impracticable on all set N mapping, a convergence of number sequence, the e-divergent sequence w-convergent sequence, infinitely large number, a number series, the alternative series, the value of the sum , a permutation of the alternative series terms.