The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines
Andrey Kolmogorov put forward in 1933 the five fundamental axioms of classical probability theory. The original idea in my complex probability paradigm (CPP) is to add new imaginary dimensions to the experiment real dimensions which will make the work in the complex probability set totally predictab...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-01-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/21642583.2017.1310062 |
| _version_ | 1818249666152628224 |
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| author | Abdo Abou Jaoude |
| author_facet | Abdo Abou Jaoude |
| author_sort | Abdo Abou Jaoude |
| collection | DOAJ |
| description | Andrey Kolmogorov put forward in 1933 the five fundamental axioms of classical probability theory. The original idea in my complex probability paradigm (CPP) is to add new imaginary dimensions to the experiment real dimensions which will make the work in the complex probability set totally predictable and with a probability permanently equal to one. Therefore, adding to the real set of probabilities $ \mathcal{R} $ the contributions of the imaginary set of probabilities $ \mathcal{M} $ will make the event in $ \mathcal{C} = \mathcal{R} + \mathcal{M} $ absolutely deterministic. It is of great importance that stochastic systems become totally predictable since we will be perfectly knowledgeable to foretell the outcome of all random events that occur in nature. Hence, my purpose is to link my CPP to unburied petrochemical pipelines’ analytic prognostic in the linear damage accumulation case. Consequently, by calculating the parameters of the novel prognostic model, we will be able to determine the magnitude of the chaotic factor, the degree of knowledge, the complex probability, the system failure and survival probabilities, and the remaining useful lifetime probability, after a pressure time t has been applied to the pipeline, and which are all functions of the system degradation subject to random effects. |
| first_indexed | 2024-12-12T15:40:07Z |
| format | Article |
| id | doaj.art-6db3385875504c2bb3164f20a5d92d05 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-12-12T15:40:07Z |
| publishDate | 2017-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-6db3385875504c2bb3164f20a5d92d052022-12-22T00:19:55ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832017-01-015117821410.1080/21642583.2017.13100621310062The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelinesAbdo Abou Jaoude0Notre Dame University – LouaizeAndrey Kolmogorov put forward in 1933 the five fundamental axioms of classical probability theory. The original idea in my complex probability paradigm (CPP) is to add new imaginary dimensions to the experiment real dimensions which will make the work in the complex probability set totally predictable and with a probability permanently equal to one. Therefore, adding to the real set of probabilities $ \mathcal{R} $ the contributions of the imaginary set of probabilities $ \mathcal{M} $ will make the event in $ \mathcal{C} = \mathcal{R} + \mathcal{M} $ absolutely deterministic. It is of great importance that stochastic systems become totally predictable since we will be perfectly knowledgeable to foretell the outcome of all random events that occur in nature. Hence, my purpose is to link my CPP to unburied petrochemical pipelines’ analytic prognostic in the linear damage accumulation case. Consequently, by calculating the parameters of the novel prognostic model, we will be able to determine the magnitude of the chaotic factor, the degree of knowledge, the complex probability, the system failure and survival probabilities, and the remaining useful lifetime probability, after a pressure time t has been applied to the pipeline, and which are all functions of the system degradation subject to random effects.http://dx.doi.org/10.1080/21642583.2017.1310062Complex setprobability normdegree of our knowledgechaotic factorlinear damagedegradationremaining useful lifetimeanalytic prognostic |
| spellingShingle | Abdo Abou Jaoude The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines Systems Science & Control Engineering Complex set probability norm degree of our knowledge chaotic factor linear damage degradation remaining useful lifetime analytic prognostic |
| title | The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| title_full | The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| title_fullStr | The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| title_full_unstemmed | The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| title_short | The paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| title_sort | paradigm of complex probability and analytic linear prognostic for unburied petrochemical pipelines |
| topic | Complex set probability norm degree of our knowledge chaotic factor linear damage degradation remaining useful lifetime analytic prognostic |
| url | http://dx.doi.org/10.1080/21642583.2017.1310062 |
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