International Journal of Theoretical Physics, ISSN 0020-7748, 9/2016, Volume 55, Issue 9, pp. 3859 - 3874

We represent Born’s rule as an analog of the formula of total probability (FTP): the classical formula is perturbed by an additive interference term. In this...

Formula of total probability | Atomic instruments | Quantum operations | Interpretations of quantum mechanics | Theoretical, Mathematical and Computational Physics | Interference | Positive operator valued measures | Born rule | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | REALISM | PHYSICS, MULTIDISCIPLINARY | PHYSICS | OPERATIONAL APPROACH | Measurement | Physical instruments | Analysis | Quantum theory | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Formula of total probability | Atomic instruments | Quantum operations | Interpretations of quantum mechanics | Theoretical, Mathematical and Computational Physics | Interference | Positive operator valued measures | Born rule | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | REALISM | PHYSICS, MULTIDISCIPLINARY | PHYSICS | OPERATIONAL APPROACH | Measurement | Physical instruments | Analysis | Quantum theory | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Journal Article

Dianli Xitong Baohu yu Kongzhi/Power System Protection and Control, ISSN 1674-3415, 10/2009, Volume 37, Issue 19, pp. 69 - 76

Journal Article

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 05/2016, Volume 374, Issue 2068, p. 20150245

We discuss the subjective probability interpretation of the quantum-like approach to decision making and more generally to cognition. Our aim is to adopt the...

Decision-making | Formula of total probability | Quantum-like models | Quantum Bayesianism | Subjective probability | Jeffrey conditioning | quantum Bayesianism | EXPLANATION | formula of total probability | CHOICE | PROBABILITY | decision-making | quantum-like models | MULTIDISCIPLINARY SCIENCES | subjective probability | DYNAMICS | UNCERTAINTY | 159 | 119 | 1009 | 175 | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Decision-making | Formula of total probability | Quantum-like models | Quantum Bayesianism | Subjective probability | Jeffrey conditioning | quantum Bayesianism | EXPLANATION | formula of total probability | CHOICE | PROBABILITY | decision-making | quantum-like models | MULTIDISCIPLINARY SCIENCES | subjective probability | DYNAMICS | UNCERTAINTY | 159 | 119 | 1009 | 175 | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Journal Article

Theory of Probability and its Applications, ISSN 0040-585X, 2007, Volume 51, Issue 3, pp. 427 - 441

We compare the classical Kolmogorov and quantum probability models. We show that the gap between these models is not so huge as was commonly believed. The main...

Formula of total probability | Contextual Kolmogorov model | Quantum representation | Born's rule | Interference of probabilities | formula of total probability | contextual Kolmogorov model | STATISTICS & PROBABILITY | interference of probabilities | quantum representation

Formula of total probability | Contextual Kolmogorov model | Quantum representation | Born's rule | Interference of probabilities | formula of total probability | contextual Kolmogorov model | STATISTICS & PROBABILITY | interference of probabilities | quantum representation

Journal Article

Foundations of Science, ISSN 1233-1821, 3/2018, Volume 23, Issue 1, pp. 181 - 195

Recently I posted a paper entitled “External observer reflections on QBism”. As any external observer, I was not able to reflect all features of QBism...

Formula of total probability | Philosophy of Science | Quantum Bayesianism | Classical Bayesian physics | Interference of probability | Universal agent | Methodology of the Social Sciences | Växjö interpretation | Philosophy | Mathematical Logic and Foundations | QUANTUM | CONTEXTUAL OBJECTIVITY | Vaxjo interpretation | HISTORY & PHILOSOPHY OF SCIENCE | Bayes' theorem | Geometric probabilities | Prediction theory | Quantum theory | Probabilities | Combinatorial probabilities | Feature extraction | Quantum phenomena | Information theory | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Formula of total probability | Philosophy of Science | Quantum Bayesianism | Classical Bayesian physics | Interference of probability | Universal agent | Methodology of the Social Sciences | Växjö interpretation | Philosophy | Mathematical Logic and Foundations | QUANTUM | CONTEXTUAL OBJECTIVITY | Vaxjo interpretation | HISTORY & PHILOSOPHY OF SCIENCE | Bayes' theorem | Geometric probabilities | Prediction theory | Quantum theory | Probabilities | Combinatorial probabilities | Feature extraction | Quantum phenomena | Information theory | Naturvetenskap | Mathematics | Natural Sciences | Matematik

Journal Article

Applied Mathematics and Information Sciences, ISSN 1935-0090, 05/2013, Volume 7, Issue 3, pp. 909 - 905

A finite-buffer M/G/1-type queueing model is considered in which the level of saturation of the buffer is controlled by a dropping function. A direct...

Formula of total probability | Fite buffer | Transient state | Dropping function | Integral equation | Queue size | finite buffer | formula of total probability | queue size | transient state | integral equation | PHYSICS, MATHEMATICAL

Formula of total probability | Fite buffer | Transient state | Dropping function | Integral equation | Queue size | finite buffer | formula of total probability | queue size | transient state | integral equation | PHYSICS, MATHEMATICAL

Journal Article

Mathematical Geosciences, ISSN 1874-8961, 1/2012, Volume 44, Issue 1, pp. 101 - 129

Various attempts are known to turn the “catalogue” of mineral deposit models compiled by Cox and Singer (1986) operational, and have initiated activities...

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences | Logistic function | Odds | Earth Sciences | τ -method | Probability | Bayes’ theorem | Regression | Geotechnical Engineering & Applied Earth Sciences | Weights of evidence | Earth Sciences, general | Formula of total probability | Logistic regression | Hydrogeology | Conditional independence | Regression with artificial neural nets | Logistic regression with binary (dichotomous) predictor variables | Logits | Artificial neural nets | Independence of events | ν -method | Independence of random variables | τ-method | ν-method | Bayes' theorem | nu-method | GEOSCIENCES, MULTIDISCIPLINARY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INDEPENDENCE | tau-method | Comparative studies | Mathematical models

Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences | Logistic function | Odds | Earth Sciences | τ -method | Probability | Bayes’ theorem | Regression | Geotechnical Engineering & Applied Earth Sciences | Weights of evidence | Earth Sciences, general | Formula of total probability | Logistic regression | Hydrogeology | Conditional independence | Regression with artificial neural nets | Logistic regression with binary (dichotomous) predictor variables | Logits | Artificial neural nets | Independence of events | ν -method | Independence of random variables | τ-method | ν-method | Bayes' theorem | nu-method | GEOSCIENCES, MULTIDISCIPLINARY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INDEPENDENCE | tau-method | Comparative studies | Mathematical models

Journal Article

Sichuan Daxue Xuebao (Gongcheng Kexue Ban)/Journal of Sichuan University (Engineering Science Edition), ISSN 1009-3087, 06/2016, Volume 48, pp. 34 - 38

Journal Article

Environmental Fluid Mechanics, ISSN 1567-7419, 4/2019, Volume 19, Issue 2, pp. 569 - 581

The randomness of relative position of sediment particles and the flow conditions are the main influencing factors on incipient motion of sediment particles on...

Relative exposure degree | Earth Sciences | Environmental Physics | Hydrology/Water Resources | Hydrogeology | Classical Mechanics | Earth Sciences, general | Oceanography | The Einstein formula | Total threshold probability | Bed-load transport | SEDIMENT TRANSPORT | ENVIRONMENTAL SCIENCES | MECHANICS | OCEANOGRAPHY | WATER RESOURCES | METEOROLOGY & ATMOSPHERIC SCIENCES | Aquatic resources | Rivers | Analysis | Sediment transport | Motion | Sediment load | Sliding mode | Probability theory | Particulates | Sediments | River banks | River beds | Bed load | Transport | Fluvial sediments

Relative exposure degree | Earth Sciences | Environmental Physics | Hydrology/Water Resources | Hydrogeology | Classical Mechanics | Earth Sciences, general | Oceanography | The Einstein formula | Total threshold probability | Bed-load transport | SEDIMENT TRANSPORT | ENVIRONMENTAL SCIENCES | MECHANICS | OCEANOGRAPHY | WATER RESOURCES | METEOROLOGY & ATMOSPHERIC SCIENCES | Aquatic resources | Rivers | Analysis | Sediment transport | Motion | Sediment load | Sliding mode | Probability theory | Particulates | Sediments | River banks | River beds | Bed load | Transport | Fluvial sediments

Journal Article

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, ISSN 1562-2479, 06/2019, Volume 21, Issue 4, pp. 1196 - 1213

Uncertainty inference, which is used to infer the reasons corresponding to the results, has permeated through various fields, such as medicine, risk...

Intuitionistic fuzzy environment | Bayes formula | PROBABILITY | Independence | Uncertainty inference | Conditional probability | Interval-valued intuitionistic fuzzy environment | NETWORK MODEL | INFERENCE | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Law of total probability

Intuitionistic fuzzy environment | Bayes formula | PROBABILITY | Independence | Uncertainty inference | Conditional probability | Interval-valued intuitionistic fuzzy environment | NETWORK MODEL | INFERENCE | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Law of total probability

Journal Article

Physica E: Low-dimensional Systems and Nanostructures, ISSN 1386-9477, 2005, Volume 29, Issue 1, pp. 226 - 236

The notion of a context (complex of physical conditions, that is to say: specification of the measurement setup) is basic in this paper.We show that the main...

Formula of total probability | Contextual probability | Hilbert space model | Statistical conservation of energy | Dynamical equations | Schrödinger dynamics | Interference of probabilities | Linear and nonlinear unitary dynamics | statistical conservation of energy | formula of total probability | PHYSICS, CONDENSED MATTER | PHYSICAL REALITY | dynamical equations | contextual probability | NANOSCIENCE & NANOTECHNOLOGY | interference of probabilities | linear and nonlinear unitary dynamics | QUANTUM-MECHANICAL DESCRIPTION | Schrodinger dynamics | Energy conservation | Analysis | Models

Formula of total probability | Contextual probability | Hilbert space model | Statistical conservation of energy | Dynamical equations | Schrödinger dynamics | Interference of probabilities | Linear and nonlinear unitary dynamics | statistical conservation of energy | formula of total probability | PHYSICS, CONDENSED MATTER | PHYSICAL REALITY | dynamical equations | contextual probability | NANOSCIENCE & NANOTECHNOLOGY | interference of probabilities | linear and nonlinear unitary dynamics | QUANTUM-MECHANICAL DESCRIPTION | Schrodinger dynamics | Energy conservation | Analysis | Models

Journal Article

Statistics and Probability Letters, ISSN 0167-7152, 2004, Volume 70, Issue 1, pp. 49 - 58

Interpretation of the nonclassical total probability formula arising in some quantum experiments is provided based on stochastic models described by means of a...

Statistical ensembles of systems | The total probability formula | Frequences | Pairwise independent random vectors | SLLN | statistical ensembles of systems | STATISTICS & PROBABILITY | pairwise independent random vectors | frequences | the total probability formula | The total probability formula Statistical ensembles of systems Frequences Pairwise independent random vectors SLLN

Statistical ensembles of systems | The total probability formula | Frequences | Pairwise independent random vectors | SLLN | statistical ensembles of systems | STATISTICS & PROBABILITY | pairwise independent random vectors | frequences | the total probability formula | The total probability formula Statistical ensembles of systems Frequences Pairwise independent random vectors SLLN

Journal Article

2011, Lecture Notes in Computer Science, ISBN 9783642249709, Volume 7052

We present the quantum-like paradigm for biology, cognitive psychology, and modeling of brain’s functioning. By this paradigm contextuality of biological...

Mathematics of Computing | Computer Science | Artificial Intelligence (incl. Robotics) | Computing Methodologies | Theory of Computation | Algorithm Analysis and Problem Complexity | Mathematical Logic and Formal Languages | formula of total probability | biology | contextuality | psychology | quantum-like models | Quantum probability | cognitive science

Mathematics of Computing | Computer Science | Artificial Intelligence (incl. Robotics) | Computing Methodologies | Theory of Computation | Algorithm Analysis and Problem Complexity | Mathematical Logic and Formal Languages | formula of total probability | biology | contextuality | psychology | quantum-like models | Quantum probability | cognitive science

Book Chapter

Lecture Notes in Electrical Engineering, ISSN 1876-1100, 2013, Volume 206, pp. 781 - 787

Conference Proceeding

15.
Full Text
On Transient Queue-Size Distribution in a Single-Machine Production System with Breakdowns

Advanced Materials Research, ISSN 1022-6680, 10/2014, Volume 1036, pp. 505 - 510

An operation of a single-machine manufacturing system is modeled by an unreliable finite-buffer-type queuing system with Poisson arrivals, in which service...

Machine breakdown | Markov moment | Total probability formula | Queue-size distribution | Finite-buffer queue

Machine breakdown | Markov moment | Total probability formula | Queue-size distribution | Finite-buffer queue

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 03/2013, Volume 57, Issue 5-6, pp. 1559 - 1571

In this paper we consider a discrete-time queue with -policy and setup time, where the customers’ input rate varies according to the server’s status: idle,...

[formula omitted]-policy discrete time queue | Setup time | Queue length distribution | Variable input rate | Total probability decomposition technique | System capacity optimum design | N-policy discrete time queue | SYSTEM | MATHEMATICS, APPLIED | REMOVABLE SERVER | COMPUTER SCIENCE, SOFTWARE ENGINEERING | FINITE-CAPACITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | M/G/1 QUEUE

[formula omitted]-policy discrete time queue | Setup time | Queue length distribution | Variable input rate | Total probability decomposition technique | System capacity optimum design | N-policy discrete time queue | SYSTEM | MATHEMATICS, APPLIED | REMOVABLE SERVER | COMPUTER SCIENCE, SOFTWARE ENGINEERING | FINITE-CAPACITY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | M/G/1 QUEUE

Journal Article

International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 01/2004, Volume 35, Issue 1, p. 144

Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some...

Mathematical Formulas | Computation | Problem Solving | Probability | Classroom Techniques | Biology

Mathematical Formulas | Computation | Problem Solving | Probability | Classroom Techniques | Biology

Journal Article

BMC Research Notes, ISSN 1756-0500, 2012, Volume 5, Issue 1, pp. 188 - 188

We have previously shown that an exclusively human milk-based diet is beneficial for extremely premature infants who are at risk for necrotizing enterocolitis...

Counting process | Human milk nutrition | Premature neonates | Total parenteral nutrition | Proportional hazards model | Infant, Extremely Low Birth Weight | Infant Nutritional Physiological Phenomena | Parenteral Nutrition - adverse effects | Prospective Studies | Infant Formula | Infant, Very Low Birth Weight | United States | Humans | Proportional Hazards Models | Treatment Outcome | Gestational Age | Enteral Nutrition - adverse effects | Birth Weight | Austria | Likelihood Functions | Time Factors | Infant, Extremely Premature | Infant, Small for Gestational Age | Infant, Newborn | Milk, Human | Diet | Nutrition | Food and nutrition | Infants (Premature) | Babies | Nutrition research | Hospitals | Breastfeeding & lactation | Colleges & universities | Parenteral nutrition | Milk

Counting process | Human milk nutrition | Premature neonates | Total parenteral nutrition | Proportional hazards model | Infant, Extremely Low Birth Weight | Infant Nutritional Physiological Phenomena | Parenteral Nutrition - adverse effects | Prospective Studies | Infant Formula | Infant, Very Low Birth Weight | United States | Humans | Proportional Hazards Models | Treatment Outcome | Gestational Age | Enteral Nutrition - adverse effects | Birth Weight | Austria | Likelihood Functions | Time Factors | Infant, Extremely Premature | Infant, Small for Gestational Age | Infant, Newborn | Milk, Human | Diet | Nutrition | Food and nutrition | Infants (Premature) | Babies | Nutrition research | Hospitals | Breastfeeding & lactation | Colleges & universities | Parenteral nutrition | Milk

Journal Article

05/2012, ISBN 0470889748, 75

This chapter contains sections titled: Introduction Sample Spaces and Events The Axioms of Probability Finite Sample Spaces and Combinatorics Conditional...

conditional probability and independence | basic probability theory | axioms of probability | law of total probability and Bayes' Formula | sample spaces and events

conditional probability and independence | basic probability theory | axioms of probability | law of total probability and Bayes' Formula | sample spaces and events

Book Chapter

Acta Automatica Sinica, ISSN 1874-1029, 04/2013, Volume 39, Issue 4, pp. 381 - 389

According to the proposed particle swarm optimization (PSO) difference model in the paper, the state sequence of a single particle and swarm state sequence are...

Markov chain | Particle swarm optimization (PSO) | total probability formula | global convergence | Markov processes | Algorithms | Mathematical optimization | Analysis | Transition probabilities | Inertia | Mathematical models | Swarm intelligence | Standards | Optimization | Convergence

Markov chain | Particle swarm optimization (PSO) | total probability formula | global convergence | Markov processes | Algorithms | Mathematical optimization | Analysis | Transition probabilities | Inertia | Mathematical models | Swarm intelligence | Standards | Optimization | Convergence

Journal Article

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