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 ta...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4447 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862743582343954432 |
|---|---|
| author | Masol, V.I. Slobodyan, S.Y. |
| author_facet | Masol, V.I. Slobodyan, S.Y. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-12-07T20:31:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4447 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T20:31:28Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Masol, V.I. Slobodyan, S.Y. 2009-11-10T14:52:40Z 2009-11-10T14:52:40Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/4447 519.21 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. en Інститут математики НАН України The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) Article published earlier |
| spellingShingle | 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. |
| title | 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_short | 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) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4447 |
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