The Equation of the Set of Natural Numbers Just to Sum

Systems of equations of the form X = Y + Z and X = C, in which the unknowns are sets of integers,”+” denotes pairwise sum of sets S + T = m + n m S, n T , and C is an ultimately periodic constant. When restricted to sets of natural numbers, such equations can be equally seen as language equations over a one-letter alphabet with concatenation and regular constants, and it is shown that such systems are computationally universal, in the sense that for every recursive set S N there exists a system with a unique solution containing T with S = n 16n + 13 T. For systems over sets of all integers, both positive and negative, there is a similar construction of a system with a unique solution S = {n|16n ∈ T} representing any hyper-arithmetical set S ⊆ N. Keywords: Language equations, Natural numbers, Equations of natural number.

تأثير لغة الأم في عملية التعليم

“In the process of acquisition of B1, a person has undergone a course (acquisition of language naturally), so automatically all elements of language in B1 will be attached and easily he mastered. Another case with B2, one still has to try (consciously) to master all elements of language about B2. There are several relationships between B1 and B2 that a person is studying, including both language equations and language differences, as well as language structure. The existence of easy in learning B2 because there are some similarities between B1 and B2. Conversely, difficulties arise in learning B2 because of the differences between the two languages, which can even lead to errors. So with this please note that the influence of B1 to B2 and will always exist.”