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KB MANGANG
India
Приєднався 29 сер 2010
Welcome to my Channel KB MANGANG. It is an Educational Channel for
Mathematics. I am Khundrakpam Binod Mangang (KB Mangang). I am an assistant professor in the Department of Mathematics, Manipur University, India. I am teaching Real Analysis, Measure Theory and Dynamical Systems. Outer Measure, Lebesgue outer measure, Measurable functions, Measurable sets, Cantor set, non measurable sets, countable additivity and subadditivity, non Measurable sets, outer measure of an interval, integrations
Mathematics. I am Khundrakpam Binod Mangang (KB Mangang). I am an assistant professor in the Department of Mathematics, Manipur University, India. I am teaching Real Analysis, Measure Theory and Dynamical Systems. Outer Measure, Lebesgue outer measure, Measurable functions, Measurable sets, Cantor set, non measurable sets, countable additivity and subadditivity, non Measurable sets, outer measure of an interval, integrations
CantorSet:Construction and Topological properties
Cantor Set is Perfect, Compact, and Totally disconnected subset of [0,1].
Question Links: docs.google.com/forms/d/e/1FAIpQLSei_yNIpZ9W6ScNZA8E1lxfj4yreqFZXAdkWdOQhlA_GZq8JQ/viewform?usp=pp_url
Question Links: docs.google.com/forms/d/e/1FAIpQLSei_yNIpZ9W6ScNZA8E1lxfj4yreqFZXAdkWdOQhlA_GZq8JQ/viewform?usp=pp_url
Переглядів: 227
Відео
Lebesgue's Dominated Convergence Theorem and Examples of Lebesgue's integrable functions
Переглядів 6682 роки тому
#Lebesgue's Dominated Convergence Theorem and Examples of #Lebesgue's #integrable functions Question and Discussion Link: docs.google.com/forms/d/e/1FAIpQLSdSZouhLU3OnkDcpQV83FynArpEtI84Qb4sRKJ8KzGZC_Qguw/viewform?usp=pp_url
Lebesgue's Integral of real-valued functions; Integration of a series of functions
Переглядів 2562 роки тому
#Lebesgue's Integral of #real-valued functions; both #non-negative and #negative functions, #Integration of a #series of functions Questions and Discussion Link: docs.google.com/forms/d/e/1FAIpQLSckldQA1GiYsGVkjOXFs_sh9TsmWa-Liq-BGhVc2ShQcbJ8KA/viewform?usp=pp_url
Fatou's Lemma, Monoton Convergence Theorem
Переглядів 4402 роки тому
#Fatou's Lemma, #Monotone Convergence Theorem, #Theorem on the approximation of non negative measurable function by a sequence of simple measurable functions Questions and Discussion Link: docs.google.com/forms/d/e/1FAIpQLSfuYlZ_iGzOTO_IBVeb7IgRuX3G1S0Z63RqYPtA37ZoZfircw/viewform?usp=pp_url
Lebesgue's Integration, Simple Measurable functions, Non negative functions
Переглядів 4122 роки тому
#Lebesgue's Integration, #Simple Measurable functions, #Non negative functions Questions and Discussion Link: docs.google.com/forms/d/e/1FAIpQLSd8m1obgBlivktp-UKte2S3jy-tsZ375ocFDvNWPQSXpY1lPA/viewform?usp=pp_url
Sum, Difference and Product of Measurable Functions, Non Measurable set
Переглядів 8282 роки тому
#Sum, #Difference and #Product of #Measurable Functions, #Non Measurable set, #LimSup, #LimInf , #Lim, #Max of a sequence of functions Questions and Discussion Link: docs.google.com/forms/d/e/1FAIpQLSf23TxFJQHyiNrWlGwTNf5kAhn42b5Ka-bSiMbVwe8MfTtIjw/viewform?usp=pp_url
Lebesgue's Outer Measure is Regular, Measurable functions, Examples of Measurable functions
Переглядів 3962 роки тому
#Lebesgue's Outer Measure is #Regular, #Measurable functions, #Examples of #Measurable functions Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSe-dGb_qTRYEWo3ObHkwkaMItYboUCrr7pYYkpk3mHsYYxIqQ/viewform?usp=pp_url
Cantor Set, Perfect Set, Cantor set has zero measure, Every non empty perfect set is uncountable
Переглядів 3082 роки тому
#Cantor Set, #Perfect Set, #Cantor set has zero measure, #Every non-empty perfect set is uncountable, Cantor set is a non-empty perfect set, so it is uncountable and has zero measure Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSefqPfh4Sp8MNkg6fKb2_wMdD0y2ixL4nN1PPfR-z8qJM08Bg/viewform?usp=pp_url
Sigma Algebra Generated by a collection of sets, limit of a sequence of sets
Переглядів 2042 роки тому
Sigma Algebra Generated by a collection of sets, limit of a sequence of sets Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSe7vr8GdptCSXStnhzhfoQGX7tnnHZdR0Y4KlI1WVcja1W77g/viewform?usp=pp_url 00:00 Intro 10:12
Measure Theory, Outer Measure, Lebesgue's Outer Measure
Переглядів 3432 роки тому
It is an educational Channel Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSePTRPwTyKfNDSFZpELTTa6Tc4UY2J2HAAJc-yMbhW7vYpg8A/viewform?usp=pp_url 00:0 Start 01:0 12:48
Outer Measure is countably sub-additive
Переглядів 2422 роки тому
Outer Measure is countably sub-additive, Outer Measure of a countable set is zero, Examples of some outer measure, Outer Measure generated by different intervals are equal, i.e. Outer Measure generated by open intervals, Outer Measure generated by closed intervals, etc. are equal. Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSdYQD-35NJntrDJUFX1o-Ul9Vn0AqKz37FPX8Vjq91SIoJ2qQ/...
Outer Measure of an Interval
Переглядів 3042 роки тому
The outer measure of and interval equals its length Subscribe to :ua-cam.com/channels/UdtVX4WkFTugaAeCBCa9kA.html for more videos Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSf4QzR3n9h9sfvszkmzVn_XF0kprofYMu7R3NhvotrAL7WoJQ/viewform?usp=pp_url
OUTER MEASURE LECTURE 1
Переглядів 2822 роки тому
Outer Measure or Lebesgue's Outer measure has been defined. Some important results which follow directly from the definitions have been proved: such as Outer measure is never negative, Outer measure of an empty set is zero, Outer measure of a subset of a set less than equal to the outer measure of the set, Outer measure of a singleton set is zero. Questions and Discussions Link: docs.google.com...
CBCS MATH KBM
Переглядів 932 роки тому
Polynomials Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLScY_3ZAioVlyREfrS3Q8IabUKc2Ln80YWJFhjhVHTpFAMBY1A/viewform?usp=pp_url
Lecture18: Properties of Lebesgue Integrations
Переглядів 8644 роки тому
Properties of Lebesgue integration of real valued functions Questions and Discussions Link: docs.google.com/forms/d/e/1FAIpQLSeKBXe0drv5Yivo4Gju0Z6HnaF7vVk23djRAGJUYYLhBEq4fg/viewform?usp=pp_url
Lecture17:Lebesgue integration of real valued functions
Переглядів 5064 роки тому
Lecture17:Lebesgue integration of real valued functions
Model of Lead Absorption in human body (DynamicsLecture14)
Переглядів 1254 роки тому
Model of Lead Absorption in human body (DynamicsLecture14)
SIR Model of Covid19(DynamicsLecture13)
Переглядів 1814 роки тому
SIR Model of Covid19(DynamicsLecture13)
Example of Linearization(DynamicsLecture12)
Переглядів 904 роки тому
Example of Linearization(DynamicsLecture12)
Examples of Lebesgue integration(Lecture16)
Переглядів 2904 роки тому
Examples of Lebesgue integration(Lecture16)
Integration of sequence of functions(Lecture15)
Переглядів 1304 роки тому
Integration of sequence of functions(Lecture15)
Lebesgue's Monotone Convergence Theorem(Lecture14)
Переглядів 3884 роки тому
Lebesgue's Monotone Convergence Theorem(Lecture14)
Nature of fixed point for linear system of equations(DynamicsLecture10)
Переглядів 1554 роки тому
Nature of fixed point for linear system of equations(DynamicsLecture10)
Linear system in matrix form(DynamicsLecture9)
Переглядів 1314 роки тому
Linear system in matrix form(DynamicsLecture9)
Fixed Points of system of equations(DynamicsLecture8)
Переглядів 1694 роки тому
Fixed Points of system of equations(DynamicsLecture8)
Properties of Lebesgue integration of non-negative measurable functions(Lecture12)
Переглядів 1,3 тис.4 роки тому
Properties of Lebesgue integration of non-negative measurable functions(Lecture12)
Integrations of Simple measurable function(Lecture11)
Переглядів 2054 роки тому
Integrations of Simple measurable function(Lecture11)
Simple Measurable Functions(Lecture10)
Переглядів 1674 роки тому
Simple Measurable Functions(Lecture10)
What are some books you would suggest, Sir?
Measure Theory and Integration by Ge de Barra
Great explanation sir
sir big fan
Thank you sir
with the vaccination programmes, we can increase the value of "a" i guess. its nice explanation. tq sir kb.
Tq sir
Very very good.
Awesome lecture.
Tq sir for your dedication
Awesome lecture 🔥
Thank u sir
Thnks sir eingonddi ymn knnb mtng 1 oijri
Sir manipuri da oina twbiradi henna gyan tagadaba manle
Thank you so much sir...
Awesome lecture.
Thanks a lot sir for providing knowledge
Thank you sir,,,, if u have time please upload some tips for CSIR NET also
Thank you. Sir. Happy learning.
Thank u Sir.👋
Thank you sir
Tq sir
Thank you so much Sir
Respected Sir Lots of respect for your contribution to us
Thank you sir
Very nice explanation Sir👍👍
Thank you, I am doing everything for you, I hope you like it then, subscribe my channel, like and share it.
🎉
👍
Thank u sir. So glad to watch ur beautiful lecture.🙏🙏
Wow sir this is awesome 😎👍 Hope we could see more of your lecture here in future.
Thanks you sir for our syllabus
Hi Sir 👋 good to see you..
Thank u sir
Hi Sir 😃
Hi dear
Good morning sir
Good morning 😘
Incredible Sir... 👍
Awesome sir👍💐
Good morning sir... 😊
Good morning sir... 😊
Good evening sir... 😊
Good afternoon sir 😊
Good afternoon
My dear students, in the first page, the union just after solution should be intersection, that is a mistake, sorry
Good evening sir 😊
Hi sir
hello ringo
Thank sir eikhoi su amuk hlna ningjingbgy chance phngjre ado sir eigy phone na oiduira khngdre mayek khitng sengb watle
Please download it, by using any downloader so that you can get the perfect resolution...
Ok, if you watch in laptop, that will be better