The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2)
The theorem on a normal limit (n→∞) distribution of the number of false solutions of a beforehand consistent system of nonlinear random equations in the field GF(2) with independent coefficients is proved. In particular, we assume that each equation has coefficients that take values 0 and 1 with e...
Збережено в:
| Дата: | 2006 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
|
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/4447 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) / V.I. Masol, S.Y. Slobodyan // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 116–126. — Бібліогр.: 3 назв.— англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-4447 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-44472009-11-11T12:00:29Z The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) Masol, V.I. Slobodyan, S.Y. The theorem on a normal limit (n→∞) distribution of the number of false solutions of a beforehand consistent system of nonlinear random equations in the field GF(2) with independent coefficients is proved. In particular, we assume that each equation has coefficients that take values 0 and 1 with equal probability; the system has a solution where the number of ones equals [ρn], ρ = const, 0 < ρ < 1. 2006 Article The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) / V.I. Masol, S.Y. Slobodyan // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 116–126. — Бібліогр.: 3 назв.— англ. 0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4447 519.21 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The theorem on a normal limit (n→∞) distribution of the number of false solutions
of a beforehand consistent system of nonlinear random equations in the field GF(2)
with independent coefficients is proved. In particular, we assume that each equation
has coefficients that take values 0 and 1 with equal probability; the system has a
solution where the number of ones equals [ρn], ρ = const, 0 < ρ < 1. |
| format |
Article |
| author |
Masol, V.I. Slobodyan, S.Y. |
| spellingShingle |
Masol, V.I. Slobodyan, S.Y. The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| author_facet |
Masol, V.I. Slobodyan, S.Y. |
| author_sort |
Masol, V.I. |
| title |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| title_short |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| title_full |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| title_fullStr |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| title_full_unstemmed |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) |
| title_sort |
normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field gf(2) |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/4447 |
| citation_txt |
The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) / V.I. Masol, S.Y. Slobodyan // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 116–126. — Бібліогр.: 3 назв.— англ. |
| work_keys_str_mv |
AT masolvi thenormallimitdistributionofthenumberoffalsesolutionsofasystemofnonlinearrandomequationsinthefieldgf2 AT slobodyansy thenormallimitdistributionofthenumberoffalsesolutionsofasystemofnonlinearrandomequationsinthefieldgf2 AT masolvi normallimitdistributionofthenumberoffalsesolutionsofasystemofnonlinearrandomequationsinthefieldgf2 AT slobodyansy normallimitdistributionofthenumberoffalsesolutionsofasystemofnonlinearrandomequationsinthefieldgf2 |
| first_indexed |
2023-03-24T08:30:12Z |
| last_indexed |
2023-03-24T08:30:12Z |
| _version_ |
1796139181560299520 |