[HTML][HTML] The Paradigm of Complex Probability and Quantum Mechanics: The Quantum Harmonic Oscillator with Gaussian Initial Condition–The Momentum …

A Abou Jaoudé - 2023 - intechopen.com
The system of probability axioms of Andrey Nikolaevich Kolmogorov put forward in 1933 can
be developed to encompass the set of imaginary numbers after adding to his established …

[HTML][HTML] The paradigm of complex probability and quantum mechanics: The infinite potential well problem–The position wave function

A Abou Jaoudé - … Theory-New Perspectives, Recent Advances and …, 2022 - intechopen.com
The system of axioms for probability theory laid in 1933 by Andrey Nikolaevich Kolmogorov
can be extended to encompass the imaginary set of numbers and this by adding to his …

[HTML][HTML] The Paradigm of Complex Probability and the Theory of Metarelativity: The General Model and Some Consequences of MCPP

A Abou Jaoudé - … Theory-Recent Advances, New Perspectives and …, 2023 - intechopen.com
Calculating probabilities is a crucial task of classical probability theory. Adding
supplementary dimensions to nondeterministic experiments will yield a deterministic …

[HTML][HTML] The Paradigm of Complex Probability and the Theory of Metarelativity: A Simplified Model of MCPP

A Abou Jaoudé - … Theory-Recent Advances, New Perspectives and …, 2023 - intechopen.com
All our work in classical probability theory is to compute probabilities. The original idea in
this research work is to add new dimensions to our random experiment, which will make the …

The paradigm of complex probability and Isaac Newton's Classical mechanics: On the foundation of statistical physics

A Abou Jaoudé - The Monte Carlo Methods, 2021 - books.google.com
The concept of mathematical probability was established in 1933 by Andrey Nikolaevich
Kolmogorov by defining a system of five axioms. This system can be enhanced to …

The Monte Carlo techniques and the complex probability paradigm

A Abou Jaoude - Forecasting in Mathematics-Recent Advances …, 2020 - books.google.com
The concept of mathematical probability was established in 1933 by Andrey Nikolaevich
Kolmogorov by defining a system of five axioms. This system can be enhanced to …

The paradigm of complex probability and Claude Shannon's information theory

A Abou Jaoude - Systems Science & Control Engineering, 2017 - Taylor & Francis
Andrey Kolmogorov put forward in 1933 the five fundamental axioms of classical probability
theory. The original idea in my complex probability paradigm is to add new imaginary …

The paradigm of complex probability and Chebyshev's inequality

A Abou Jaoude - Systems Science & Control Engineering, 2016 - Taylor & Francis
The system of axioms for probability theory laid in 1933 by Andrey Nikolaevich Kolmogorov
can be extended to encompass the imaginary set of numbers and this by adding to his …

[图书][B] The computer simulation of Monté Carlo methods and random phenomena

A Abou Jaoudé - 2019 - books.google.com
This book includes algorithms that illustrate the famous Monté Carlo Methods and the
computer simulation of stochastic experiments in the areas of random numbers generation …

Analytic prognostic in the linear damage case applied to buried petrochemical pipelines and the complex probability paradigm

A Abou Jaoude - Fault Detection, Diagnosis and Prognosis …, 2020 - books.google.com
In 1933, Andrey Nikolaevich Kolmogorov established the system of five axioms that define
the concept of mathematical probability. This system can be developed to include the set of …