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  Independence (probability Theory)
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  Independence (mathematical Logic)

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  Independence (probability Theory)
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  Independence (mathematical Logic)

• Independence (probability theory)
• Independence (mathematical logic)
• The Independent (Footscray)
• Daylight (EP)
• Daylight (Jimmy Ibbotson album)
• Daylight (disambiguation)
• Mix

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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of the other. Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other.

The concept of independence extends to dealing with collections of more than two events or random variables, in which case the events are pairwise independent if each pair are independent of each other, and the events are mutually independent if each event is independent of each other combination of events.

Definition

For events

Two events

Two events A and B are independent (often written as or ) if and only if their joint probability equals the product of their probabilities:

Why this defines independence is made clear by rewriting with conditional probabilities:

and similarly

Thus, the occurrence of B does not affect the probability of A, and vice versa. Although the derived expressions may seem more intuitive, they are not the preferred definition, as the conditional probabilities may be undefined if P(A) or P(B) are 0. Furthermore, the preferred definition makes clear by symmetry that when A is independent of B, B is also independent of A.

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Independence_(probability_theory)

Independence (mathematical logic)

In mathematical logic, independence refers to the unprovability of a sentence from other sentences.

A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. Sometimes, σ is said (synonymously) to be undecidable from T; this is not the same meaning of "decidability" as in a decision problem.

A theory T is independent if each axiom in T is not provable from the remaining axioms in T. A theory for which there is an independent set of axioms is independently axiomatizable.

Usage note

Some authors say that σ is independent of T if T simply cannot prove σ, and do not necessarily assert by this that T cannot refute σ. These authors will sometimes say "σ is independent of and consistent with T" to indicate that T can neither prove nor refute σ.

Independence results in set theory

Many interesting statements in set theory are independent of Zermelo-Fraenkel set theory (ZF). The following statements in set theory are known to be independent of ZF, granting that ZF is consistent:

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Independence_(mathematical_logic)

The Independent (Footscray)

The Independent was an Australian newspaper published in Footscray, Melbourne, Victoria from 1883 to 1933.

History

The Independent was first published on Saturday 31 March 1883 in Nicholson Street, Footscray. It described itself as a local newspaper for Footscray, Yarraville, Braybrook, Wyndham and The Plains. It was published each Saturday and cost 1 penny.

References

External links

Digitised copies of editions from 1883 to 1922—available on NLA Trove

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/The_Independent_(Footscray)

Daylight (EP)

Daylight is an EP by American hip hop artist Aesop Rock. It was released via Definitive Jux on February 5, 2002. It is also the title of a single from his 2001 album, Labor Days. The song is included on the EP, along with a reworking entitled "Night Light."

In 2015, it was chosen by Fact as one of the 100 Best Indie Hip-Hop Records of All Time.

Track listing

References

External links

Daylight at Discogs (list of releases)

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Daylight_(EP)

Daylight (Jimmy Ibbotson album)

Daylight is the 2005 album by Jimmy Ibbotson.

Track listing

"No Shoestrings on Louise" (Elton John, Bernie Taupin)

"Mission Temple Fireworks Stand" (Brother Paul Thorn)

"Daylight" (Jimmy Ibbotson)

"Zoom" (Jimmy Ibbotson)

"Call At Dawn" (Jimmy Ibbotson)

"Becky And The Baby" (Jimmy Ibbotson)

"Happy Hopin' To You" (Jimmy Ibbotson)

"Noggy Noggin'" (traditional)

"Back To Back" (Jimmy Ibbotson)

"One Love" (Bob Marley)

Personnel

Jimmy Ibbotson - guitar, bass, mandolin, keyboards, flute, vocals

References

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Daylight_(Jimmy_Ibbotson_album)

Daylight (disambiguation)

Daylight is the combination of all direct and indirect sunlight outdoors during the daytime, which includes:

Sunlight, the total spectrum of the electromagnetic radiation given off by the Sun

Diffuse sky radiation, solar radiation reaching the Earth's surface after having been scattered by molecules or suspensoids in the atmosphere

Daylight may also refer to:

Music

Daylight Records, an American record label

The Daylights, an American alternative rock band

Albums

Daylight (Duncan Sheik album), 2002

Daylight (Jimmy Ibbotson album), 2005

Daylight (Needtobreathe album), 2006

Daylight (Pigpen album), 1997

Daylight (EP), a 2002 EP by Aesop Rock

Daylight (Paramlee EP), 2002

Songs

"Daylight" (Bobby Womack song), 1976, also covered by Kelly Rowland (2008)

"Daylight" (Maroon 5 song), 2012

"Daylight" (Matt & Kim song), 2009

"Daylight", a song by Asia from Alpha

"Daylight", a song by Coldplay from A Rush of Blood to the Head

"Daylight", a song by Delerium from Poem

"Daylight", a song by Failure from Fantastic Planet

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Daylight_(disambiguation)

Mix

Mix, mixes, mixture, or mixing may refer to:

In mathematics, science, and technology

In electronics and telecommunications

MIX, a mythical computer used in the textbook The Art of Computer Programming by Donald Knuth

MIX (Email), a high performance email storage system for use with IMAP

MIX (Microsoft), a discontinued annual Microsoft conference

Chaum mixes, an anonymous email system proposed in 1981

Electronic mixer

Frequency mixer

Malta Internet Exchange, an Internet backbone for the country of Malta

Milan Internet eXchange, in Milan, Italy

MIX (Z39.87): NISO Metadata for Images in XML, a standard for encoding metatdata about digital images and image collections

Other uses in mathematics, science, and technology

Mixture, a kind of chemical substance

Crossbreeding, also called mixing, a genetic concept

Mixing (mathematics), a concept in ergodic theory

Mixing (physics), a descriptive condition of a dynamical system

Mixing (process engineering), a unit operation for manipulating physical systems

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Mix

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4:02

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

• Order: Reorder
• Duration: 4:02
• Uploaded Date: 04 Feb 2021
• views: 348048

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily ...

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

https://wn.com/Mutually_Exclusive_Vs._Independent_Events_Explained_In_4_Minutes

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

• published: 04 Feb 2021
• views: 348048

1:25

What is independence (probability)?

• Order: Reorder
• Duration: 1:25
• Uploaded Date: 10 Aug 2020
• views: 1756

What are independent events? More videos: https://www.patreon.com/intuitiveml Follow: Twitter: https://twitter.com/SentimOfficial Facebook: https://www.faceb...

What are independent events? More videos: https://www.patreon.com/intuitiveml Follow: Twitter: https://twitter.com/SentimOfficial Facebook: https://www.facebook.com/SentimOfficial/ ____________________ Learn more: Wiki: https://en.wikipedia.org/wiki/Independence_(probability_theory) Math is fun: https://www.mathsisfun.com/data/probability-events-independent.html Khan academy: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability #IntuitiveML, #probability, #machinelearning

https://wn.com/What_Is_Independence_(Probability)

What are independent events? More videos: https://www.patreon.com/intuitiveml Follow: Twitter: https://twitter.com/SentimOfficial Facebook: https://www.facebook.com/SentimOfficial/ ____________________ Learn more: Wiki: https://en.wikipedia.org/wiki/Independence_(probability_theory) Math is fun: https://www.mathsisfun.com/data/probability-events-independent.html Khan academy: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability #IntuitiveML, #probability, #machinelearning

• published: 10 Aug 2020
• views: 1756

4:07

Conditional probability and independence | Probability | AP Statistics | Khan Academy

• Order: Reorder
• Duration: 4:07
• Uploaded Date: 13 Jul 2017
• views: 180640

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-statistics/probability-ap/stat...

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability Use conditional probability to see if events are independent or not. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/v/testing-independence-from-experimental-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc

https://wn.com/Conditional_Probability_And_Independence_|_Probability_|_Ap_Statistics_|_Khan_Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability Use conditional probability to see if events are independent or not. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/v/testing-independence-from-experimental-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc

• published: 13 Jul 2017
• views: 180640

10:11

Probability - Independent and Dependent Events

• Order: Reorder
• Duration: 10:11
• Uploaded Date: 27 Mar 2019
• views: 695885

This probability video tutorial provides a basic introduction into independent and dependent events. It provides example problems using colored marbles. Proba...

This probability video tutorial provides a basic introduction into independent and dependent events. It provides example problems using colored marbles. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ____________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

https://wn.com/Probability_Independent_And_Dependent_Events

This probability video tutorial provides a basic introduction into independent and dependent events. It provides example problems using colored marbles. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ____________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• published: 27 Mar 2019
• views: 695885

10:15

Probability Theory 13 | Independence for Random Variables

• Order: Reorder
• Duration: 10:15
• Uploaded Date: 01 Feb 2022
• views: 10183

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brigh...

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/If_iTaWYeww There is also a bright mode version of this video: https://youtu.be/lawe9TT1p18 To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about independence again, namely about independent random variables. First we discuss two random variables and then infinitely many random variables. (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

https://wn.com/Probability_Theory_13_|_Independence_For_Random_Variables

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/If_iTaWYeww There is also a bright mode version of this video: https://youtu.be/lawe9TT1p18 To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about independence again, namely about independent random variables. First we discuss two random variables and then infinitely many random variables. (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

• published: 01 Feb 2022
• views: 10183

2:46

L03.5 Conditional Independence

• Order: Reorder
• Duration: 2:46
• Uploaded Date: 24 Apr 2018
• views: 80034

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creati...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

https://wn.com/L03.5_Conditional_Independence

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

• published: 24 Apr 2018
• views: 80034

21:25

Independent Events (Basics of Probability: Independence of Two Events)

• Order: Reorder
• Duration: 21:25
• Uploaded Date: 09 Feb 2018
• views: 246440

An introduction to the concept of independent events, pitched at a level appropriate for the probability section of a typical introductory statistics course. ...

An introduction to the concept of independent events, pitched at a level appropriate for the probability section of a typical introductory statistics course. I give the definition of independence, work through some simple examples, and attempt to illustrate the meaning of independence in various ways. (Note: I use the phrase "not independent" rather than "dependent" almost exclusively. There is nothing wrong with calling events dependent when they are not independent, but I prefer to use "not independent" for a couple of reasons.) (I'm on a bit of a probability run, but looking forward to getting back to statistics videos in the near future.) This one turned out to be long, as I had a number of points I wanted to discuss. Here's the breakdown: 0:20. The definition of independence, showing what that means in terms of conditional probability, and some hand-waving discussion of what independence means. 3:48. Very simple examples (P(A) = x, P(B) = y, etc.). 6:20. Die rolling examples. 10:03. Discussion of the fact that if A and B are independent, so are (A and Bc), (Ac and B), and (Ac and Bc), including a hand-waving justification. The previous example involved a lead-in to this. (The hand-waving is legit happening behind the scenes.) 11:15. Visual illustration of independence. 14:39. Playing card examples. 18:19. Discussion of how we sometimes *assume* events are independent (e.g. heads on first toss of a fair coin, heads on second toss), and how this is an *assumption*, and not something that can be proven mathematically (despite what you might see elsewhere). 19:24. Discussion of how the term "independent" can have a different meaning in everyday English compared to its usage in probability, and how that is sometimes a cause for confusion.

https://wn.com/Independent_Events_(Basics_Of_Probability_Independence_Of_Two_Events)

An introduction to the concept of independent events, pitched at a level appropriate for the probability section of a typical introductory statistics course. I give the definition of independence, work through some simple examples, and attempt to illustrate the meaning of independence in various ways. (Note: I use the phrase "not independent" rather than "dependent" almost exclusively. There is nothing wrong with calling events dependent when they are not independent, but I prefer to use "not independent" for a couple of reasons.) (I'm on a bit of a probability run, but looking forward to getting back to statistics videos in the near future.) This one turned out to be long, as I had a number of points I wanted to discuss. Here's the breakdown: 0:20. The definition of independence, showing what that means in terms of conditional probability, and some hand-waving discussion of what independence means. 3:48. Very simple examples (P(A) = x, P(B) = y, etc.). 6:20. Die rolling examples. 10:03. Discussion of the fact that if A and B are independent, so are (A and Bc), (Ac and B), and (Ac and Bc), including a hand-waving justification. The previous example involved a lead-in to this. (The hand-waving is legit happening behind the scenes.) 11:15. Visual illustration of independence. 14:39. Playing card examples. 18:19. Discussion of how we sometimes *assume* events are independent (e.g. heads on first toss of a fair coin, heads on second toss), and how this is an *assumption*, and not something that can be proven mathematically (despite what you might see elsewhere). 19:24. Discussion of how the term "independent" can have a different meaning in everyday English compared to its usage in probability, and how that is sometimes a cause for confusion.

• published: 09 Feb 2018
• views: 246440

10:02

Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events

• Order: Reorder
• Duration: 10:02
• Uploaded Date: 31 Mar 2019
• views: 2464000

This video discusses the multiplication rule and addition rule of probability. It explains how to determine if 2 events are independent events & if they're mut...

This video discusses the multiplication rule and addition rule of probability. It explains how to determine if 2 events are independent events & if they're mutually exclusive events. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ________________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

https://wn.com/Multiplication_Addition_Rule_Probability_Mutually_Exclusive_Independent_Events

This video discusses the multiplication rule and addition rule of probability. It explains how to determine if 2 events are independent events & if they're mutually exclusive events. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ________________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

• published: 31 Mar 2019
• views: 2464000

47:49

Maths for AI - AI for Class IX (Part 6)

• Order: Reorder
• Duration: 47:49
• Uploaded Date: 30 Jun 2024
• views: 263

🌟 Welcome to our "TeachAI: Decoding Artificial Intelligence", an AI Educators Series – a comprehensive guide for teachers delving into the world of Artificial I...

🌟 Welcome to our "TeachAI: Decoding Artificial Intelligence", an AI Educators Series – a comprehensive guide for teachers delving into the world of Artificial Intelligence as outlined in the CBSE curriculum for Class 9. 📚✨ 🤖 About This Series: In this exciting webinar series, we unlock the potential of AI in classrooms, offering educators a deep dive into the Class 9 AI curriculum set by the Central Board of Secondary Education (CBSE), India. Our journey will explore the intricacies of AI concepts, teaching methodologies, and practical applications to empower the next generation with skills that are future-ready. 👩‍🏫 What You Will Learn: - Understanding AI Fundamentals: Grasp AI's core concepts and terminologies per the CBSE syllabus. - Curriculum Navigation: Tips and strategies for effectively teaching AI, aligning with the CBSE standards. - Engaging Teaching Methods: Innovative approaches to make AI learning interactive and engaging for students. - Resource Toolkit: Access a wealth of resources, including lesson plans, project ideas, and assessment strategies. - Q&A Sessions: Interactive sessions with AI education experts to answer your queries and share best practices. 🎯 Who Should Attend: This series is ideal for educators, teachers, and school administrators teaching or planning to teach Artificial Intelligence to Class 10 students as per the CBSE curriculum. 💡 Stay Connected: - Subscribe to our channel for updates on upcoming webinars. - Hit the Bell Icon to get notifications for our live sessions. - Join Our Community: Connect with fellow educators in our exclusive forum for continuous learning and support. 🔗 Useful Links: - Purchase Decoding Artificial Intelligence for CBSE Class 9: https://amzn.in/d/6LfwAcN - Resources and Reading Materials: https://www.methdai.com - Feedback Form: https://us02web.zoom.us/survey/8I2e9kLifjOrUoyZTPGhE9kcpHdGQzeXkGtf7azaVOcmE0h6pWs.kk7Hg0feYnlnCRQ6/view?id=-_o1cCymT3WCHlXCP6lXzg#/sharePreview #AIforEducation #CBSE #Class9 #ArtificialIntelligence #TeachingAI #EducationalWebinar #AIWebinarSeries #MethdAI #NCERT #aiforall #ai #sachingupta #bhoomigupta

https://wn.com/Maths_For_Ai_Ai_For_Class_Ix_(Part_6)

🌟 Welcome to our "TeachAI: Decoding Artificial Intelligence", an AI Educators Series – a comprehensive guide for teachers delving into the world of Artificial Intelligence as outlined in the CBSE curriculum for Class 9. 📚✨ 🤖 About This Series: In this exciting webinar series, we unlock the potential of AI in classrooms, offering educators a deep dive into the Class 9 AI curriculum set by the Central Board of Secondary Education (CBSE), India. Our journey will explore the intricacies of AI concepts, teaching methodologies, and practical applications to empower the next generation with skills that are future-ready. 👩‍🏫 What You Will Learn: - Understanding AI Fundamentals: Grasp AI's core concepts and terminologies per the CBSE syllabus. - Curriculum Navigation: Tips and strategies for effectively teaching AI, aligning with the CBSE standards. - Engaging Teaching Methods: Innovative approaches to make AI learning interactive and engaging for students. - Resource Toolkit: Access a wealth of resources, including lesson plans, project ideas, and assessment strategies. - Q&A Sessions: Interactive sessions with AI education experts to answer your queries and share best practices. 🎯 Who Should Attend: This series is ideal for educators, teachers, and school administrators teaching or planning to teach Artificial Intelligence to Class 10 students as per the CBSE curriculum. 💡 Stay Connected: - Subscribe to our channel for updates on upcoming webinars. - Hit the Bell Icon to get notifications for our live sessions. - Join Our Community: Connect with fellow educators in our exclusive forum for continuous learning and support. 🔗 Useful Links: - Purchase Decoding Artificial Intelligence for CBSE Class 9: https://amzn.in/d/6LfwAcN - Resources and Reading Materials: https://www.methdai.com - Feedback Form: https://us02web.zoom.us/survey/8I2e9kLifjOrUoyZTPGhE9kcpHdGQzeXkGtf7azaVOcmE0h6pWs.kk7Hg0feYnlnCRQ6/view?id=-_o1cCymT3WCHlXCP6lXzg#/sharePreview #AIforEducation #CBSE #Class9 #ArtificialIntelligence #TeachingAI #EducationalWebinar #AIWebinarSeries #MethdAI #NCERT #aiforall #ai #sachingupta #bhoomigupta

• published: 30 Jun 2024
• views: 263

11:26

Probability Theory 9 | Independence for Events

• Order: Reorder
• Duration: 11:26
• Uploaded Date: 29 Oct 2021
• views: 9401

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brigh...

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/Yqcz2e4m5A8 There is also a bright mode version of this video: https://youtu.be/4GfcBpoibig To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about the important concept of independence of events. We define it for two events but also for infinitely many. 00:00 Intro 00:19 Visualization (Independence for events) 03:48 Definition of independence 04:52: Example (discrete case) 07:38 Continuous case 10:52 Outro (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

https://wn.com/Probability_Theory_9_|_Independence_For_Events

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/Yqcz2e4m5A8 There is also a bright mode version of this video: https://youtu.be/4GfcBpoibig To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about the important concept of independence of events. We define it for two events but also for infinitely many. 00:00 Intro 00:19 Visualization (Independence for events) 03:48 Definition of independence 04:52: Example (discrete case) 07:38 Continuous case 10:52 Outro (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

• published: 29 Oct 2021
• views: 9401

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22:35

A formal proof of the independence of the continuum hypothesis

• Order: Reorder
• Duration: 22:35
• Uploaded Date: 24 Jan 2020
• views: 3375

Presenter: Jesse Han. Presenter video comes back at 1:24. Presented at CPP'20, colocated with POPL 2020.

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https://wn.com/A_Formal_Proof_Of_The_Independence_Of_The_Continuum_Hypothesis

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• published: 24 Jan 2020
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2:33

Independence (mathematical logic)

• Order: Reorder
• Duration: 2:33
• Uploaded Date: 22 Jan 2016
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If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audio-20 Independence (mathematical logic) ...

If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audio-20 Independence (mathematical logic) In mathematical logic, independence refers to the unprovability of a sentence from other sentences.A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. -Video is targeted to blind users Attribution: Article text available under CC-BY-SA image source in video https://www.youtube.com/watch?v=2AOjX33ntvE

https://wn.com/Independence_(Mathematical_Logic)

If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audio-20 Independence (mathematical logic) In mathematical logic, independence refers to the unprovability of a sentence from other sentences.A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. -Video is targeted to blind users Attribution: Article text available under CC-BY-SA image source in video https://www.youtube.com/watch?v=2AOjX33ntvE

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17:23

Propositional Logic − Logical Equivalences

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7:51

Truth Table Tutorial - Discrete Mathematics Logic

• Order: Reorder
• Duration: 7:51
• Uploaded Date: 26 Mar 2014
• views: 2172926

Here is a quick tutorial on two different truth tables. If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below: Thi...

Here is a quick tutorial on two different truth tables. If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below: Think about the statement "If you get an A on your exam, then I will give you $100". This statement will only be False if I break my promise to you. Therefore: - If it's TRUE (you got an A), and it's TRUE (I gave you $100), then it's TRUE (I kept my promise). - If it's TRUE (you got an A), and it's FALSE (I didn't give you $100), then it's FALSE (I broke my promise). - If it's FALSE (you didn't get an A), and it's TRUE (I gave you $100), then it's TRUE (I didn't break my promise, I was just feeling sorry for you and felt like being generous). - If it's FALSE (you didn't get an A), and it's FALSE (I didn't give you $100), then it's TRUE (I kept my promise, you didn't earn the $100 from me)!

https://wn.com/Truth_Table_Tutorial_Discrete_Mathematics_Logic

Here is a quick tutorial on two different truth tables. If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below: Think about the statement "If you get an A on your exam, then I will give you $100". This statement will only be False if I break my promise to you. Therefore: - If it's TRUE (you got an A), and it's TRUE (I gave you $100), then it's TRUE (I kept my promise). - If it's TRUE (you got an A), and it's FALSE (I didn't give you $100), then it's FALSE (I broke my promise). - If it's FALSE (you didn't get an A), and it's TRUE (I gave you $100), then it's TRUE (I didn't break my promise, I was just feeling sorry for you and felt like being generous). - If it's FALSE (you didn't get an A), and it's FALSE (I didn't give you $100), then it's TRUE (I kept my promise, you didn't earn the $100 from me)!

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4:10

Independence (mathematical logic) | Wikipedia audio article

• Order: Reorder
• Duration: 4:10
• Uploaded Date: 13 Jan 2019
• views: 7

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Independence_(mathematical_logic) 00:00:56 1 Usage note 00:01:32 2 Indepe...

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Independence_(mathematical_logic) 00:00:56 1 Usage note 00:01:32 2 Independence results in set theory 00:03:25 3 Applications to physical theory 00:03:47 4 See also Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.7531633240319345 Voice name: en-US-Wavenet-E "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= In mathematical logic, independence refers to the unprovability of a sentence from other sentences. A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. Sometimes, σ is said (synonymously) to be undecidable from T; this is not the same meaning of "decidability" as in a decision problem. A theory T is independent if each axiom in T is not provable from the remaining axioms in T. A theory for which there is an independent set of axioms is independently axiomatizable.

https://wn.com/Independence_(Mathematical_Logic)_|_Wikipedia_Audio_Article

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Independence_(mathematical_logic) 00:00:56 1 Usage note 00:01:32 2 Independence results in set theory 00:03:25 3 Applications to physical theory 00:03:47 4 See also Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.7531633240319345 Voice name: en-US-Wavenet-E "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= In mathematical logic, independence refers to the unprovability of a sentence from other sentences. A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. Sometimes, σ is said (synonymously) to be undecidable from T; this is not the same meaning of "decidability" as in a decision problem. A theory T is independent if each axiom in T is not provable from the remaining axioms in T. A theory for which there is an independent set of axioms is independently axiomatizable.

• published: 13 Jan 2019
• views: 7

10:18

Logical Operators − Implication (Part 1)

• Order: Reorder
• Duration: 10:18
• Uploaded Date: 08 May 2018
• views: 444609

Discrete Mathematics: Logical Operators − Implication (Part 1) Topics discussed: 1. Logical Implication. 2. Definition of Logical Implication. 3. Examples of Lo...

Discrete Mathematics: Logical Operators − Implication (Part 1) Topics discussed: 1. Logical Implication. 2. Definition of Logical Implication. 3. Examples of Logical Implication. 4. Homework problems on Logical Implication. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: http://www.nesoacademy.org/donate Memberships: https://bit.ly/2U7YSPI Books: http://www.nesoacademy.org/recommended-books Website ► http://www.nesoacademy.org/ Forum ► http://forum.nesoacademy.org/ Facebook ► https://goo.gl/Nt0PmB Twitter ► https://twitter.com/nesoacademy Music: Axol x Alex Skrindo - You [NCS Release] #DiscreteMathematicsByNeso #DiscreteMaths #LogicalOperators

https://wn.com/Logical_Operators_−_Implication_(Part_1)

Discrete Mathematics: Logical Operators − Implication (Part 1) Topics discussed: 1. Logical Implication. 2. Definition of Logical Implication. 3. Examples of Logical Implication. 4. Homework problems on Logical Implication. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: http://www.nesoacademy.org/donate Memberships: https://bit.ly/2U7YSPI Books: http://www.nesoacademy.org/recommended-books Website ► http://www.nesoacademy.org/ Forum ► http://forum.nesoacademy.org/ Facebook ► https://goo.gl/Nt0PmB Twitter ► https://twitter.com/nesoacademy Music: Axol x Alex Skrindo - You [NCS Release] #DiscreteMathematicsByNeso #DiscreteMaths #LogicalOperators

• published: 08 May 2018
• views: 444609

4:02

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

• Order: Reorder
• Duration: 4:02
• Uploaded Date: 04 Feb 2021
• views: 348048

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily ...

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

https://wn.com/Mutually_Exclusive_Vs._Independent_Events_Explained_In_4_Minutes

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

• published: 04 Feb 2021
• views: 348048

7:11

mathematical logic show that the truth values of the following formulas are independent

• Order: Reorder
• Duration: 7:11
• Uploaded Date: 04 Nov 2020
• views: 315

Video from Shubham Borate

Video from Shubham Borate

https://wn.com/Mathematical_Logic_Show_That_The_Truth_Values_Of_The_Following_Formulas_Are_Independent

Video from Shubham Borate

• published: 04 Nov 2020
• views: 315

52:18

John N. Crossley- WHAT IS MATHEMATICAL LOGIC?

• Order: Reorder
• Duration: 52:18
• Uploaded Date: 14 Jan 2022
• views: 536

Southern Summer Logic Day 2022 Talk Also see: https://sites.google.com/view/crossley-logic-colloquium

Southern Summer Logic Day 2022 Talk Also see: https://sites.google.com/view/crossley-logic-colloquium

https://wn.com/John_N._Crossley_What_Is_Mathematical_Logic

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• published: 14 Jan 2022
• views: 536

2:15

Mathematics and Logic: From Euclid to Modern Geometry | Online Courses Trailer

• Order: Reorder
• Duration: 2:15
• Uploaded Date: 16 Feb 2021
• views: 3001889

Discover the fundamental principles of mathematical reasoning and logic in Hillsdale’s online course, “Mathematics and Logic: From Euclid to Modern Geometry.” E...

Discover the fundamental principles of mathematical reasoning and logic in Hillsdale’s online course, “Mathematics and Logic: From Euclid to Modern Geometry.” Enroll in this free course today at: https://online.hillsdale.edu/landing/mathematics-and-logic-from-euclid-to-modern-geometry Support Hillsdale College: https://secured.hillsdale.edu/hillsdale/support-hillsdale-college Visit our website: http://hillsdale.edu Learn from our online courses: http://online.hillsdale.edu Read Imprimis: https://imprimis.hillsdale.edu/ Undergraduate programs: https://www.hillsdale.edu/information-for/undergraduate-admissions/ Graduate School of Statesmanship: https://www.hillsdale.edu/academics/graduate-school/ Graduate School of Government: https://dc.hillsdale.edu/School-of-Government/Program-Overview/ Listen to Hillsdale Dialogues Podcast: http://blog.hillsdale.edu/online-courses Hillsdale College is an independent institution of higher learning founded in 1844 by men and women “grateful to God for the inestimable blessings” resulting from civil and religious liberty and “believing that the diffusion of learning is essential to the perpetuity of these blessings.” It pursues the stated object of the founders: “to furnish all persons who wish, irrespective of nation, color, or sex, a literary, scientific, [and] theological education” outstanding among American colleges “and to combine with this such moral and social instruction as will best develop the minds and improve the hearts of its pupils.” As a nonsectarian Christian institution, Hillsdale College maintains “by precept and example” the immemorial teachings and practices of the Christian faith. The College also considers itself a trustee of our Western philosophical and theological inheritance tracing to Athens and Jerusalem, a heritage finding its clearest expression in the American experiment of self-government under law. By training the young in the liberal arts, Hillsdale College prepares students to become leaders worthy of that legacy. By encouraging the scholarship of its faculty, it contributes to the preservation of that legacy for future generations. By publicly defending that legacy, it enlists the aid of other friends of free civilization and thus secures the conditions of its own survival and independence.

https://wn.com/Mathematics_And_Logic_From_Euclid_To_Modern_Geometry_|_Online_Courses_Trailer

Discover the fundamental principles of mathematical reasoning and logic in Hillsdale’s online course, “Mathematics and Logic: From Euclid to Modern Geometry.” Enroll in this free course today at: https://online.hillsdale.edu/landing/mathematics-and-logic-from-euclid-to-modern-geometry Support Hillsdale College: https://secured.hillsdale.edu/hillsdale/support-hillsdale-college Visit our website: http://hillsdale.edu Learn from our online courses: http://online.hillsdale.edu Read Imprimis: https://imprimis.hillsdale.edu/ Undergraduate programs: https://www.hillsdale.edu/information-for/undergraduate-admissions/ Graduate School of Statesmanship: https://www.hillsdale.edu/academics/graduate-school/ Graduate School of Government: https://dc.hillsdale.edu/School-of-Government/Program-Overview/ Listen to Hillsdale Dialogues Podcast: http://blog.hillsdale.edu/online-courses Hillsdale College is an independent institution of higher learning founded in 1844 by men and women “grateful to God for the inestimable blessings” resulting from civil and religious liberty and “believing that the diffusion of learning is essential to the perpetuity of these blessings.” It pursues the stated object of the founders: “to furnish all persons who wish, irrespective of nation, color, or sex, a literary, scientific, [and] theological education” outstanding among American colleges “and to combine with this such moral and social instruction as will best develop the minds and improve the hearts of its pupils.” As a nonsectarian Christian institution, Hillsdale College maintains “by precept and example” the immemorial teachings and practices of the Christian faith. The College also considers itself a trustee of our Western philosophical and theological inheritance tracing to Athens and Jerusalem, a heritage finding its clearest expression in the American experiment of self-government under law. By training the young in the liberal arts, Hillsdale College prepares students to become leaders worthy of that legacy. By encouraging the scholarship of its faculty, it contributes to the preservation of that legacy for future generations. By publicly defending that legacy, it enlists the aid of other friends of free civilization and thus secures the conditions of its own survival and independence.

• published: 16 Feb 2021
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4:02

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

Learn the difference between Mutually Exclusive and Independent events. This statistics t...

published: 04 Feb 2021

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Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

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• published: 04 Feb 2021
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Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

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1:25

What is independence (probability)?

What are independent events? More videos: https://www.patreon.com/intuitiveml Follow: T...

published: 10 Aug 2020

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What is independence (probability)?

What is independence (probability)?

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What are independent events? More videos: https://www.patreon.com/intuitiveml Follow: Twitter: https://twitter.com/SentimOfficial Facebook: https://www.facebook.com/SentimOfficial/ ____________________ Learn more: Wiki: https://en.wikipedia.org/wiki/Independence_(probability_theory) Math is fun: https://www.mathsisfun.com/data/probability-events-independent.html Khan academy: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability #IntuitiveML, #probability, #machinelearning

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4:07

Conditional probability and independence | Probability | AP Statistics | Khan Academy

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published: 13 Jul 2017

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Conditional probability and independence | Probability | AP Statistics | Khan Academy

Conditional probability and independence | Probability | AP Statistics | Khan Academy

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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/a/check-independence-conditional-probability Use conditional probability to see if events are independent or not. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/v/testing-independence-from-experimental-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc

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10:11

Probability - Independent and Dependent Events

This probability video tutorial provides a basic introduction into independent and depende...

published: 27 Mar 2019

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Probability - Independent and Dependent Events

Probability - Independent and Dependent Events

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This probability video tutorial provides a basic introduction into independent and dependent events. It provides example problems using colored marbles. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ____________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

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10:15

Probability Theory 13 | Independence for Random Variables

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/...

published: 01 Feb 2022

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Probability Theory 13 | Independence for Random Variables

Probability Theory 13 | Independence for Random Variables

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• published: 01 Feb 2022
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Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/If_iTaWYeww There is also a bright mode version of this video: https://youtu.be/lawe9TT1p18 To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about independence again, namely about independent random variables. First we discuss two random variables and then infinitely many random variables. (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

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2:46

L03.5 Conditional Independence

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://o...

published: 24 Apr 2018

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L03.5 Conditional Independence

L03.5 Conditional Independence

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MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

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21:25

Independent Events (Basics of Probability: Independence of Two Events)

An introduction to the concept of independent events, pitched at a level appropriate for t...

published: 09 Feb 2018

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Independent Events (Basics of Probability: Independence of Two Events)

Independent Events (Basics of Probability: Independence of Two Events)

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An introduction to the concept of independent events, pitched at a level appropriate for the probability section of a typical introductory statistics course. I give the definition of independence, work through some simple examples, and attempt to illustrate the meaning of independence in various ways. (Note: I use the phrase "not independent" rather than "dependent" almost exclusively. There is nothing wrong with calling events dependent when they are not independent, but I prefer to use "not independent" for a couple of reasons.) (I'm on a bit of a probability run, but looking forward to getting back to statistics videos in the near future.) This one turned out to be long, as I had a number of points I wanted to discuss. Here's the breakdown: 0:20. The definition of independence, showing what that means in terms of conditional probability, and some hand-waving discussion of what independence means. 3:48. Very simple examples (P(A) = x, P(B) = y, etc.). 6:20. Die rolling examples. 10:03. Discussion of the fact that if A and B are independent, so are (A and Bc), (Ac and B), and (Ac and Bc), including a hand-waving justification. The previous example involved a lead-in to this. (The hand-waving is legit happening behind the scenes.) 11:15. Visual illustration of independence. 14:39. Playing card examples. 18:19. Discussion of how we sometimes *assume* events are independent (e.g. heads on first toss of a fair coin, heads on second toss), and how this is an *assumption*, and not something that can be proven mathematically (despite what you might see elsewhere). 19:24. Discussion of how the term "independent" can have a different meaning in everyday English compared to its usage in probability, and how that is sometimes a cause for confusion.

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10:02

Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events

This video discusses the multiplication rule and addition rule of probability. It explain...

published: 31 Mar 2019

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Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events

Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events

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This video discusses the multiplication rule and addition rule of probability. It explains how to determine if 2 events are independent events & if they're mutually exclusive events. Probability - Free Formula Sheet: https://bit.ly/3zb22rW ________________________________ Introduction to Probability: https://www.youtube.com/watch?v=SkidyDQuupA Probability Formulas: https://www.youtube.com/watch?v=bddckR734aM Probability Explained: https://www.youtube.com/watch?v=UORztmWGY6Q Probability With Geometry: https://www.youtube.com/watch?v=DeH5aHWxEaI Probability of Complementary Events: https://www.youtube.com/watch?v=0T-CaQCiSf4 Conditional Probability: https://www.youtube.com/watch?v=sqDVrXq_eh0 __________________________________ Independent and Dependent Events: https://www.youtube.com/watch?v=lWAdPyvm400 Probability of Mutual Exclusive Events: https://www.youtube.com/watch?v=X6usGgwXFyU Multiplication and Addition Rule: https://www.youtube.com/watch?v=94AmzeR9n2w Compound Probability: https://www.youtube.com/watch?v=EHU6pVSczb4 Expected Value: https://www.youtube.com/watch?v=b6VK2VPMXNI Probability Tree Diagrams: https://www.youtube.com/watch?v=w4wKXVwtGac ___________________________________ Bayes Theorem: https://www.youtube.com/watch?v=OByl4RJxnKA Probability - Binomial Distribution: https://www.youtube.com/watch?v=3PWKQiLK41M Probability - Geometric Distribution: https://www.youtube.com/watch?v=d5iAWPnrH6w Probability - Poisson Distribution: https://www.youtube.com/watch?v=m0o-585xwW0 Continuous Probability Distributions: https://www.youtube.com/watch?v=QxqxdQ_g2uw Probability Density Functions: https://www.youtube.com/watch?v=3xAIWiTJCvE __________________________________ Probability - Uniform Distributions: https://www.youtube.com/watch?v=KfunVw-0AH0 Probability - Exponential Distributions: https://www.youtube.com/watch?v=J3KSjZFVbis Probability - Normal Distributions (Calculus): https://www.youtube.com/watch?v=gHBL5Zau3NE Probability - Standard Normal Distributions: https://www.youtube.com/watch?v=CjF_yQ2N638 Probability - The Law of Large Numbers: https://www.youtube.com/watch?v=ihTpK6dXSas ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections

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47:49

Maths for AI - AI for Class IX (Part 6)

🌟 Welcome to our "TeachAI: Decoding Artificial Intelligence", an AI Educators Series – a c...

published: 30 Jun 2024

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Maths for AI - AI for Class IX (Part 6)

Maths for AI - AI for Class IX (Part 6)

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🌟 Welcome to our "TeachAI: Decoding Artificial Intelligence", an AI Educators Series – a comprehensive guide for teachers delving into the world of Artificial Intelligence as outlined in the CBSE curriculum for Class 9. 📚✨ 🤖 About This Series: In this exciting webinar series, we unlock the potential of AI in classrooms, offering educators a deep dive into the Class 9 AI curriculum set by the Central Board of Secondary Education (CBSE), India. Our journey will explore the intricacies of AI concepts, teaching methodologies, and practical applications to empower the next generation with skills that are future-ready. 👩‍🏫 What You Will Learn: - Understanding AI Fundamentals: Grasp AI's core concepts and terminologies per the CBSE syllabus. - Curriculum Navigation: Tips and strategies for effectively teaching AI, aligning with the CBSE standards. - Engaging Teaching Methods: Innovative approaches to make AI learning interactive and engaging for students. - Resource Toolkit: Access a wealth of resources, including lesson plans, project ideas, and assessment strategies. - Q&A Sessions: Interactive sessions with AI education experts to answer your queries and share best practices. 🎯 Who Should Attend: This series is ideal for educators, teachers, and school administrators teaching or planning to teach Artificial Intelligence to Class 10 students as per the CBSE curriculum. 💡 Stay Connected: - Subscribe to our channel for updates on upcoming webinars. - Hit the Bell Icon to get notifications for our live sessions. - Join Our Community: Connect with fellow educators in our exclusive forum for continuous learning and support. 🔗 Useful Links: - Purchase Decoding Artificial Intelligence for CBSE Class 9: https://amzn.in/d/6LfwAcN - Resources and Reading Materials: https://www.methdai.com - Feedback Form: https://us02web.zoom.us/survey/8I2e9kLifjOrUoyZTPGhE9kcpHdGQzeXkGtf7azaVOcmE0h6pWs.kk7Hg0feYnlnCRQ6/view?id=-_o1cCymT3WCHlXCP6lXzg#/sharePreview #AIforEducation #CBSE #Class9 #ArtificialIntelligence #TeachingAI #EducationalWebinar #AIWebinarSeries #MethdAI #NCERT #aiforall #ai #sachingupta #bhoomigupta

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11:26

Probability Theory 9 | Independence for Events

Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/...

published: 29 Oct 2021

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Probability Theory 9 | Independence for Events

Probability Theory 9 | Independence for Events

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Find more here: https://tbsom.de/s/pt Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Watch the whole video series about Probability Theory and download PDF versions and quizzes: https://tbsom.de/s/pt There is also a dark mode version of this video: https://youtu.be/Yqcz2e4m5A8 There is also a bright mode version of this video: https://youtu.be/4GfcBpoibig To find the YouTube-Playlist, click here for the bright version: https://youtube.com/playlist?list=PLBh2i93oe2qswFOC98oSFc37-0f4S3D4z And click here for the dark version of the playlist: https://youtube.com/playlist?list=PLBh2i93oe2qtmWsYpx0NarbeahMJvhRj0 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Probability Theory. I hope that it will help everyone who wants to learn about it. This video is about probability theory, also known as stochastics, stochastic processes or statistics. I keep the title in this general notion because I want cover a lot of topics with the upcoming videos. #ProbabilityTheory #Analysis #Calculus #Mathematics Here we talk about the important concept of independence of events. We define it for two events but also for infinitely many. 00:00 Intro 00:19 Visualization (Independence for events) 03:48 Definition of independence 04:52: Example (discrete case) 07:38 Continuous case 10:52 Outro (This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start

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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of the other. Similarly, two random variables are independent if the realization of one does not affect the probability distribution of the other.

The concept of independence extends to dealing with collections of more than two events or random variables, in which case the events are pairwise independent if each pair are independent of each other, and the events are mutually independent if each event is independent of each other combination of events.

Definition

For events

Two events

Two events A and B are independent (often written as or ) if and only if their joint probability equals the product of their probabilities:

Why this defines independence is made clear by rewriting with conditional probabilities:

and similarly

Thus, the occurrence of B does not affect the probability of A, and vice versa. Although the derived expressions may seem more intuitive, they are not the preferred definition, as the conditional probabilities may be undefined if P(A) or P(B) are 0. Furthermore, the preferred definition makes clear by symmetry that when A is independent of B, B is also independent of A.

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This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Independence_(probability_theory)

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22:35

A formal proof of the independence of the continuum hypothesis

Presenter: Jesse Han. Presenter video comes back at 1:24. Presented at CPP'20, colocated ...

published: 24 Jan 2020

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A formal proof of the independence of the continuum hypothesis

A formal proof of the independence of the continuum hypothesis

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Presenter: Jesse Han. Presenter video comes back at 1:24. Presented at CPP'20, colocated with POPL 2020.

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2:33

Independence (mathematical logic)

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published: 22 Jan 2016

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Independence (mathematical logic)

Independence (mathematical logic)

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If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audio-20 Independence (mathematical logic) In mathematical logic, independence refers to the unprovability of a sentence from other sentences.A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. -Video is targeted to blind users Attribution: Article text available under CC-BY-SA image source in video https://www.youtube.com/watch?v=2AOjX33ntvE

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17:23

Propositional Logic − Logical Equivalences

Discrete Mathematics: Propositional Logic − Logical Equivalences Topics discussed: 1) Log...

published: 19 May 2018

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Propositional Logic − Logical Equivalences

Propositional Logic − Logical Equivalences

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Discrete Mathematics: Propositional Logic − Logical Equivalences Topics discussed: 1) Logical Equivalence definition and example. 2) Most common and famous logical equivalences. 3) Logical equivalences involving conditional statements. 4) Logical equivalences involving biconditional statements. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: http://www.nesoacademy.org/donate Memberships: https://bit.ly/2U7YSPI Books: http://www.nesoacademy.org/recommended-books Website ► http://www.nesoacademy.org/ Forum ► http://forum.nesoacademy.org/ Facebook ► https://goo.gl/Nt0PmB Twitter ► https://twitter.com/nesoacademy Music: Axol x Alex Skrindo - You [NCS Release] #DiscreteMathematicsByNeso #DiscreteMaths #PropositionalLogic

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7:51

Truth Table Tutorial - Discrete Mathematics Logic

Here is a quick tutorial on two different truth tables. If there's anyone wondering about...

published: 26 Mar 2014

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Truth Table Tutorial - Discrete Mathematics Logic

Truth Table Tutorial - Discrete Mathematics Logic

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Here is a quick tutorial on two different truth tables. If there's anyone wondering about the "IF/THEN" statements (the one way arrows), please read below: Think about the statement "If you get an A on your exam, then I will give you $100". This statement will only be False if I break my promise to you. Therefore: - If it's TRUE (you got an A), and it's TRUE (I gave you $100), then it's TRUE (I kept my promise). - If it's TRUE (you got an A), and it's FALSE (I didn't give you $100), then it's FALSE (I broke my promise). - If it's FALSE (you didn't get an A), and it's TRUE (I gave you $100), then it's TRUE (I didn't break my promise, I was just feeling sorry for you and felt like being generous). - If it's FALSE (you didn't get an A), and it's FALSE (I didn't give you $100), then it's TRUE (I kept my promise, you didn't earn the $100 from me)!

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4:10

Independence (mathematical logic) | Wikipedia audio article

This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Independ...

published: 13 Jan 2019

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Independence (mathematical logic) | Wikipedia audio article

Independence (mathematical logic) | Wikipedia audio article

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• published: 13 Jan 2019
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This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Independence_(mathematical_logic) 00:00:56 1 Usage note 00:01:32 2 Independence results in set theory 00:03:25 3 Applications to physical theory 00:03:47 4 See also Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.7531633240319345 Voice name: en-US-Wavenet-E "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= In mathematical logic, independence refers to the unprovability of a sentence from other sentences. A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that σ is false. Sometimes, σ is said (synonymously) to be undecidable from T; this is not the same meaning of "decidability" as in a decision problem. A theory T is independent if each axiom in T is not provable from the remaining axioms in T. A theory for which there is an independent set of axioms is independently axiomatizable.

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10:18

Logical Operators − Implication (Part 1)

Discrete Mathematics: Logical Operators − Implication (Part 1) Topics discussed: 1. Logica...

published: 08 May 2018

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Logical Operators − Implication (Part 1)

Logical Operators − Implication (Part 1)

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• published: 08 May 2018
• views: 444609

Discrete Mathematics: Logical Operators − Implication (Part 1) Topics discussed: 1. Logical Implication. 2. Definition of Logical Implication. 3. Examples of Logical Implication. 4. Homework problems on Logical Implication. Follow Neso Academy on Instagram: @nesoacademy(https://bit.ly/2XP63OE) Follow me on Instagram: @jaspreetedu(https://bit.ly/2YX26E5) Contribute: http://www.nesoacademy.org/donate Memberships: https://bit.ly/2U7YSPI Books: http://www.nesoacademy.org/recommended-books Website ► http://www.nesoacademy.org/ Forum ► http://forum.nesoacademy.org/ Facebook ► https://goo.gl/Nt0PmB Twitter ► https://twitter.com/nesoacademy Music: Axol x Alex Skrindo - You [NCS Release] #DiscreteMathematicsByNeso #DiscreteMaths #LogicalOperators

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4:02

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

Learn the difference between Mutually Exclusive and Independent events. This statistics t...

published: 04 Feb 2021

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Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

Mutually Exclusive vs. Independent Events EXPLAINED in 4 minutes

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• published: 04 Feb 2021
• views: 348048

Learn the difference between Mutually Exclusive and Independent events. This statistics tutorial explains what mutually exclusive events are and how to easily identify these events with Venn diagrams and probability formulas. Then we discuss what independent events are, how they are different from mutually exclusive events and how to identify them with different probability formulas. We cover all of these concepts with plenty of examples, too! For more help, visit: https://theacetutors.com For more videos/content, visit: https://theacetutors.com/blog Sign up for tutoring: https://theacetutors.com/register

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7:11

mathematical logic show that the truth values of the following formulas are independent

Video from Shubham Borate

published: 04 Nov 2020

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mathematical logic show that the truth values of the following formulas are independent

mathematical logic show that the truth values of the following formulas are independent

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• published: 04 Nov 2020
• views: 315

Video from Shubham Borate

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52:18

John N. Crossley- WHAT IS MATHEMATICAL LOGIC?

Southern Summer Logic Day 2022 Talk Also see: https://sites.google.com/view/crossley-logi...

published: 14 Jan 2022

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John N. Crossley- WHAT IS MATHEMATICAL LOGIC?

John N. Crossley- WHAT IS MATHEMATICAL LOGIC?

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• published: 14 Jan 2022
• views: 536

Southern Summer Logic Day 2022 Talk Also see: https://sites.google.com/view/crossley-logic-colloquium

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2:15

Mathematics and Logic: From Euclid to Modern Geometry | Online Courses Trailer

Discover the fundamental principles of mathematical reasoning and logic in Hillsdale’s onl...

published: 16 Feb 2021

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Mathematics and Logic: From Euclid to Modern Geometry | Online Courses Trailer

Mathematics and Logic: From Euclid to Modern Geometry | Online Courses Trailer

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• published: 16 Feb 2021
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Discover the fundamental principles of mathematical reasoning and logic in Hillsdale’s online course, “Mathematics and Logic: From Euclid to Modern Geometry.” Enroll in this free course today at: https://online.hillsdale.edu/landing/mathematics-and-logic-from-euclid-to-modern-geometry Support Hillsdale College: https://secured.hillsdale.edu/hillsdale/support-hillsdale-college Visit our website: http://hillsdale.edu Learn from our online courses: http://online.hillsdale.edu Read Imprimis: https://imprimis.hillsdale.edu/ Undergraduate programs: https://www.hillsdale.edu/information-for/undergraduate-admissions/ Graduate School of Statesmanship: https://www.hillsdale.edu/academics/graduate-school/ Graduate School of Government: https://dc.hillsdale.edu/School-of-Government/Program-Overview/ Listen to Hillsdale Dialogues Podcast: http://blog.hillsdale.edu/online-courses Hillsdale College is an independent institution of higher learning founded in 1844 by men and women “grateful to God for the inestimable blessings” resulting from civil and religious liberty and “believing that the diffusion of learning is essential to the perpetuity of these blessings.” It pursues the stated object of the founders: “to furnish all persons who wish, irrespective of nation, color, or sex, a literary, scientific, [and] theological education” outstanding among American colleges “and to combine with this such moral and social instruction as will best develop the minds and improve the hearts of its pupils.” As a nonsectarian Christian institution, Hillsdale College maintains “by precept and example” the immemorial teachings and practices of the Christian faith. The College also considers itself a trustee of our Western philosophical and theological inheritance tracing to Athens and Jerusalem, a heritage finding its clearest expression in the American experiment of self-government under law. By training the young in the liberal arts, Hillsdale College prepares students to become leaders worthy of that legacy. By encouraging the scholarship of its faculty, it contributes to the preservation of that legacy for future generations. By publicly defending that legacy, it enlists the aid of other friends of free civilization and thus secures the conditions of its own survival and independence.

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