Conditional probability

Non-commutative conditional expectation

In mathematics, non-commutative conditional expectation is a generalization of the notion of conditional expectation in classical probability. The space of essentially bounded measurable functions on a -finite measure space is the canonical example of a commutative von Neumann algebra. For this reason, the theory of von Neumann algebras is sometimes referred to as noncommutative measure theory. The intimate connections of probability theory with measure theory suggest that one may be able to extend the classical ideas in probability to a noncommutative setting by studying those ideas on general von Neumann algebras. For von Neumann algebras with a faithful normal tracial state, for example finite von Neumann algebras, the notion of conditional expectation is especially useful. (Wikipedia).

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Using a contingency table to find the conditional probability

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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Finding the conditional probability from a tree diagram

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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Determining the conditional probability from a contingency table

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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Finding the conditional probability from a two way frequency table

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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How to find the probability between two mutually exclusive events

👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau

From playlist Probability of Mutually Exclusive Events

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Using a tree diagram to find the conditional probability

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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How to find the conditional probability from a contingency table

👉 Learn how to find the conditional probability of an event. Probability is the chance of an event occurring or not occurring. The probability of an event is given by the number of outcomes divided by the total possible outcomes. Conditional probability is the chance of an event occurring

From playlist Probability

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Benjamin Steinberg: Cartan pairs of algebras

Talk by Benjamin Steinberg in Global Noncommutative Geometry Seminar (Americas), https://globalncgseminar.org/talks/tba-15/ on Oct. 8, 2021

From playlist Global Noncommutative Geometry Seminar (Americas)

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From playlist Probability Theory

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Léonard Cadilhac - Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups

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From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”

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Lisa Glaser: A picture of a spectral triple

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From playlist Noncommutative geometry meets topological recursion 2021

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From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems

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How to determine if two events are mutually exclusive or not

👉 Learn how to find the probability of mutually exclusive events. Two events are said to be mutually exclusive when the two events cannot occur at the same time. For instance, when you throw a coin the event that a head appears and the event that a tail appears are mutually exclusive becau

From playlist Probability of Mutually Exclusive Events

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The dynamics of systems coupled to propagating (...) - H. Nurdin - PRACQSYS 2018 - CEB T2 2018

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From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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Frédéric Patras - Substitutions in non-commutative multivariate power series

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From playlist Combinatorics and Arithmetic for Physics: Special Days 2022

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https://indico.math.cnrs.fr/event/4272/attachments/2260/2714/IHESConference_Joakim-ARNLIND.pdf

From playlist Space Time Matrices

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Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - N.LaRacuente

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From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

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(New Version Available) Conditional Probability

New Version: Fixes an error at 7:00: https://youtu.be/WgsxhWPAo4c This video explains how to determine conditional probability. http://mathispower4u.yolasite.com/

From playlist Counting and Probability

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Xu Zhendong - From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality

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From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”

Related pages

Mathematics | Probability theory | Conditional expectation | Abelian von Neumann algebra | Von Neumann algebra | Probability