*) Symmetry of a function. Intuitively it is clear, that if a function as a certain law or correspondence generates the inverse law or correspondence, this is an inverse function. Such however takes place not for any function. Such comprehension is implemented in definition of the degenerate and non-degenerate function. Strange that such, as seems to me, a fundamental concept, is not still dealt with.
*) In item 5 is considered only single function of distance r (t), which is supposed to be non-degenerate, and inverse to the latter t (r) .From symmetry I find unique functions (potentials) and also Newton's laws, at that and other miscellaneous orders.
Besides the physics of planets and atoms with billions of years of stable existence, whether is this the only mathematical existence?
*)For any corporation by means of the computer, checking monthly incomes and expenditures of the corporation and analyzing this information it is possible to foresee old age of the corporation, its crises, and also revolution, if the corporation is a state.
*)We consider distance as a nondegenerate function of time. Then the Newton's laws in the asymmetrical form or identity such as (9) any order take place.From a symmetry and symmetrical form of Newton's laws (7), (8)... we discover unique functions or potentials.
*)GRAVITATION. On the one hand the right member (9) of Newton's law of the second order is a precise derivative.On the other hand unique on a symmetry function has a derivative M/(x+p)^2.The substitution of this function in a Newton's law gives alternative of the law of a gravitation.
*)This differentiation is a morphism of composition of inverse functions under multiplication.
*)Контрпример.Из
интервала, по алгоритму Кантора,
удаляем средние трети(интервалы).
Для оставшихся повторяем то
же.Процесс бесконечен.Известно, что
сумма длин
выброшенных интервалов равна длине
исходного.Посчитаем их количество.
На шаге n мы выбрасываем 2^(n-1)
интервалов.Число n показывает, в том
числе
сколько чисел стоит в натуральном
ряду перед ним.А в пределе-сколько
всех
натуральных чисел, то есть мощность
счетного множества.А 2 в степени
мощность счетного=мощность
несчетного.Иначе наш интервал
является суммой
несчетного множества интервалов.А
это противоречит теореме о том, что
интервал это сумма не более
счетного числа интервалов.
VASILIY V. KNYSH
OBJECTIVE: research
INTERESTS: Mathematics (Article - Primitive potentials and Newton's laws from symmetry.See Web). Collecting of the books (Mathematics, Physics, Programming, Encyclopedies).
EDUCATION: University.1978.Mathematics applied.
EXPERIENCE:
1986 - now Set-up and support of software.Programmer(VFP). 1982 - 1986 Teaching of maths. Institutepolytechnic. 1979 - 1982 Teaching. Professeur des mathematiques au lycee. 1972 - 1978 University. Maths applied. 1970 - 1972 Military Service. Soldier. LANGUAGES: Belorussian (native) Russian (fluent) French (Practice of teaching of mathematics)