-
New operator definitions | Functions and their graphs | Algebra II | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-functions/alg-two-variable-functions/v/new-operator-definitions
Getting comfortable with evaluating newly defined function operators
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/e/new_definitions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-definitions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/undefined-and-ind...
published: 03 Aug 2011
-
Modulo Operator Examples #Shorts #math #maths #mathematics #computerscience
published: 28 Dec 2022
-
Operator (mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Operator (mathematics)
An operator is a mapping from one vector space or module to another.Operators are of critical importance to both linear algebra and functional analysis, and they find application in many other fields of pure and applied mathematics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=kXgk2PBNNsE
published: 29 Jan 2016
-
The mathematics of infinity and research on operator algebra theory
Many fields of mathematics are hundreds, or even thousands, of years old. By contrast, the Katsura Group researches operator algebra theory, which is a relatively new field, arising in 1929. It was originated by von Neumann, one of the 20th Century's most influential scientists, to describe quantum mechanics mathematically.
Q"Operating, in ordinary language, means acting on something. In my specialty, operator algebra, what's acted on is an abstract mathematical object called a Hilbert space. The subject that acts on the Hilbert space is called an operator. With operators, if you do one operation, then a different operation, and think of the two as a combined operation, a multiplicative structure arises. Also, the object called a Hilbert space involves an additive structure, and you can ...
published: 31 May 2013
-
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 TRU...
published: 26 Mar 2014
-
Intro to Logical Statements
We begin our exploration into logic by analyzing LOGICAL STATEMENTS:
1) Define what a logical statement is
2) Recognize examples as logical statements or not logical statements
3) Use the symbols for "not", "and", and "or".
4) Break down a sentence into its logical structure.
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
************...
published: 15 May 2017
-
What does a ≡ b (mod n) mean? Basic Modular Arithmetic, Congruence
Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (mod n), and you will see this in a number theory or a discrete math class. Learn how to solve congruence, subscribe to @blackpenredpen
💪 Support this channel, https://www.patreon.com/blackpenredpen
published: 23 Apr 2018
-
Conditional Statements: if p then q
Learning Objectives:
1) Interpret sentences as being conditional statements
2) Write the truth table for a conditional in its implication form
3) Use truth tables to see the disjunctive form of a conditional statement as logically equivalent
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Lea...
published: 17 May 2017
-
Quantum information, quantum groups and operator algebras - QIAW01 | Monday, 4 November
The school will be the starting event of the INI programme `Quantum information, quantum groups and operator algebras'. It will consist of three introductory lecture courses on the main themes of the programme. The key focus will be on integrating experts working on different topics and indicating possible directions of research interactions. The school is also open to any researchers interested in the topics, especially graduate students.
Find out more: https://www.newton.ac.uk/event/qiaw01/
-------------------
FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel: https://www.youtube.com/@isaacnewtoninstitute
🐦| Twitter: https://twitter.com/NewtonInstitute
💬| Facebook: https://www.facebook.com/newton.institute
📷| Instagram: https://www.instagram.com/isaacnewtonins...
published: 05 Nov 2024
-
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you m...
published: 31 Mar 2019
6:50
New operator definitions | Functions and their graphs | Algebra II | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-functions/alg-tw...
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-functions/alg-two-variable-functions/v/new-operator-definitions
Getting comfortable with evaluating newly defined function operators
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/e/new_definitions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-definitions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/undefined-and-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
https://wn.com/New_Operator_Definitions_|_Functions_And_Their_Graphs_|_Algebra_Ii_|_Khan_Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-functions/alg-two-variable-functions/v/new-operator-definitions
Getting comfortable with evaluating newly defined function operators
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/e/new_definitions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-definitions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/undefined-and-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
- published: 03 Aug 2011
- views: 167757
7:43
Operator (mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Operator (mathematics)
An opera...
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Operator (mathematics)
An operator is a mapping from one vector space or module to another.Operators are of critical importance to both linear algebra and functional analysis, and they find application in many other fields of pure and applied mathematics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=kXgk2PBNNsE
https://wn.com/Operator_(Mathematics)
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Operator (mathematics)
An operator is a mapping from one vector space or module to another.Operators are of critical importance to both linear algebra and functional analysis, and they find application in many other fields of pure and applied mathematics.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=kXgk2PBNNsE
- published: 29 Jan 2016
- views: 1188
4:54
The mathematics of infinity and research on operator algebra theory
Many fields of mathematics are hundreds, or even thousands, of years old. By contrast, the Katsura Group researches operator algebra theory, which is a relative...
Many fields of mathematics are hundreds, or even thousands, of years old. By contrast, the Katsura Group researches operator algebra theory, which is a relatively new field, arising in 1929. It was originated by von Neumann, one of the 20th Century's most influential scientists, to describe quantum mechanics mathematically.
Q"Operating, in ordinary language, means acting on something. In my specialty, operator algebra, what's acted on is an abstract mathematical object called a Hilbert space. The subject that acts on the Hilbert space is called an operator. With operators, if you do one operation, then a different operation, and think of the two as a combined operation, a multiplicative structure arises. Also, the object called a Hilbert space involves an additive structure, and you can use that to define addition between operators. In mathematics, structures where addition and multiplication are conceivable are called algebras. In operator algebra theory, we investigate the various structures of algebras formed by operators."
The mathematical features of operator algebra theory can be expressed in three words: infinite, topology, and non-commutativity. Infinite means the object has an infinite size, and this results in various mysterious phenomena that don't arise in the finite world.
Also, in operator algebra theory, we don't exclude the infinite nature of objects as being pathological; instead, we try to tame it using various tools and methods. The most powerful tool is our second keyword, topology. In operator algebra theory, we try to control infinity using topology, which varies depending on situations. Different topologies lead different concepts, C*-algebras and von Neumann algebras.
Our last keyword, non-commutativity, expresses the phenomenon where considering a product in a different order changes the result. In ordinary arithmetic, products don't depend on order. But for operators, products may well depend on order, like matrix multiplication.
Q"I also do research on the borderline between set theory and operator algebra theory. Set theory involves research on infinite subjects, or infinity itself, more directly than operator algebra theory. One famous example is called the Hilbert Hotel."
The Hilbert Hotel has an infinite number of rooms. Even if it's full when a new customer arrives, the hotel can move the person staying in the Room 1 to Room 2, the person staying in Room 2 to Room 3, and so on, to make Room 1 vacant. Using this method, even if an infinite number of new customers arrive, the hotel can move the guest in Room 1 to Room 2, the guest in Room 2 to Room 4, the guest in Room 3 to Room 6, the guest in Room 4 to Room 8, and the guest in Room N to Room 2N, making all odd-numbered rooms vacant, so an infinite number of people can stay. Moreover, another phenomenon occurs: Even if an infinite number of buses each containing an infinite number of customers arrives, the hotel can arrange things so that all of the new customers can stay.
Research students in the Katsura Group also study the relationship between tiling and C* algebra, and tackle many topics in set theory and logic. In this way, the Group works to open up new frontiers in mathematics.
Q"I think that, in a great many cases, interesting topics lie on the borderline between related fields. Of course, it's important that students do specialized studies. But I'd also like our students to take an interest in other aspects of mathematics, along with techniques from various disciplines. Those could include physics, chemistry, and engineering, but also many other fields."
https://wn.com/The_Mathematics_Of_Infinity_And_Research_On_Operator_Algebra_Theory
Many fields of mathematics are hundreds, or even thousands, of years old. By contrast, the Katsura Group researches operator algebra theory, which is a relatively new field, arising in 1929. It was originated by von Neumann, one of the 20th Century's most influential scientists, to describe quantum mechanics mathematically.
Q"Operating, in ordinary language, means acting on something. In my specialty, operator algebra, what's acted on is an abstract mathematical object called a Hilbert space. The subject that acts on the Hilbert space is called an operator. With operators, if you do one operation, then a different operation, and think of the two as a combined operation, a multiplicative structure arises. Also, the object called a Hilbert space involves an additive structure, and you can use that to define addition between operators. In mathematics, structures where addition and multiplication are conceivable are called algebras. In operator algebra theory, we investigate the various structures of algebras formed by operators."
The mathematical features of operator algebra theory can be expressed in three words: infinite, topology, and non-commutativity. Infinite means the object has an infinite size, and this results in various mysterious phenomena that don't arise in the finite world.
Also, in operator algebra theory, we don't exclude the infinite nature of objects as being pathological; instead, we try to tame it using various tools and methods. The most powerful tool is our second keyword, topology. In operator algebra theory, we try to control infinity using topology, which varies depending on situations. Different topologies lead different concepts, C*-algebras and von Neumann algebras.
Our last keyword, non-commutativity, expresses the phenomenon where considering a product in a different order changes the result. In ordinary arithmetic, products don't depend on order. But for operators, products may well depend on order, like matrix multiplication.
Q"I also do research on the borderline between set theory and operator algebra theory. Set theory involves research on infinite subjects, or infinity itself, more directly than operator algebra theory. One famous example is called the Hilbert Hotel."
The Hilbert Hotel has an infinite number of rooms. Even if it's full when a new customer arrives, the hotel can move the person staying in the Room 1 to Room 2, the person staying in Room 2 to Room 3, and so on, to make Room 1 vacant. Using this method, even if an infinite number of new customers arrive, the hotel can move the guest in Room 1 to Room 2, the guest in Room 2 to Room 4, the guest in Room 3 to Room 6, the guest in Room 4 to Room 8, and the guest in Room N to Room 2N, making all odd-numbered rooms vacant, so an infinite number of people can stay. Moreover, another phenomenon occurs: Even if an infinite number of buses each containing an infinite number of customers arrives, the hotel can arrange things so that all of the new customers can stay.
Research students in the Katsura Group also study the relationship between tiling and C* algebra, and tackle many topics in set theory and logic. In this way, the Group works to open up new frontiers in mathematics.
Q"I think that, in a great many cases, interesting topics lie on the borderline between related fields. Of course, it's important that students do specialized studies. But I'd also like our students to take an interest in other aspects of mathematics, along with techniques from various disciplines. Those could include physics, chemistry, and engineering, but also many other fields."
- published: 31 May 2013
- views: 6444
7:51
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:
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)!
- published: 26 Mar 2014
- views: 2172926
6:19
Intro to Logical Statements
We begin our exploration into logic by analyzing LOGICAL STATEMENTS:
1) Define what a logical statement is
2) Recognize examples as logical statements or not l...
We begin our exploration into logic by analyzing LOGICAL STATEMENTS:
1) Define what a logical statement is
2) Recognize examples as logical statements or not logical statements
3) Use the symbols for "not", "and", and "or".
4) Break down a sentence into its logical structure.
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett
https://wn.com/Intro_To_Logical_Statements
We begin our exploration into logic by analyzing LOGICAL STATEMENTS:
1) Define what a logical statement is
2) Recognize examples as logical statements or not logical statements
3) Use the symbols for "not", "and", and "or".
4) Break down a sentence into its logical structure.
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett
- published: 15 May 2017
- views: 234429
5:45
What does a ≡ b (mod n) mean? Basic Modular Arithmetic, Congruence
Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (mod n), and you will see this in a number theory or a discrete m...
Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (mod n), and you will see this in a number theory or a discrete math class. Learn how to solve congruence, subscribe to @blackpenredpen
💪 Support this channel, https://www.patreon.com/blackpenredpen
https://wn.com/What_Does_A_≡_B_(Mod_N)_Mean_Basic_Modular_Arithmetic,_Congruence
Basic congruence introduction in modular arithmetic. We will go over 3 ways to interpret a ≡ b (mod n), and you will see this in a number theory or a discrete math class. Learn how to solve congruence, subscribe to @blackpenredpen
💪 Support this channel, https://www.patreon.com/blackpenredpen
- published: 23 Apr 2018
- views: 792234
7:09
Conditional Statements: if p then q
Learning Objectives:
1) Interpret sentences as being conditional statements
2) Write the truth table for a conditional in its implication form
3) Use truth tabl...
Learning Objectives:
1) Interpret sentences as being conditional statements
2) Write the truth table for a conditional in its implication form
3) Use truth tables to see the disjunctive form of a conditional statement as logically equivalent
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►X/Twitter: http://x.com/treforbazett
►TikTok: https://www.tiktok.com/@drtrefor
https://wn.com/Conditional_Statements_If_P_Then_Q
Learning Objectives:
1) Interpret sentences as being conditional statements
2) Write the truth table for a conditional in its implication form
3) Use truth tables to see the disjunctive form of a conditional statement as logically equivalent
****************************************************
►Full Course Playlist: DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
****************************************************
Other Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
****************************************************
►X/Twitter: http://x.com/treforbazett
►TikTok: https://www.tiktok.com/@drtrefor
- published: 17 May 2017
- views: 804735
1:34:39
Quantum information, quantum groups and operator algebras - QIAW01 | Monday, 4 November
The school will be the starting event of the INI programme `Quantum information, quantum groups and operator algebras'. It will consist of three introductory le...
The school will be the starting event of the INI programme `Quantum information, quantum groups and operator algebras'. It will consist of three introductory lecture courses on the main themes of the programme. The key focus will be on integrating experts working on different topics and indicating possible directions of research interactions. The school is also open to any researchers interested in the topics, especially graduate students.
Find out more: https://www.newton.ac.uk/event/qiaw01/
-------------------
FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel: https://www.youtube.com/@isaacnewtoninstitute
🐦| Twitter: https://twitter.com/NewtonInstitute
💬| Facebook: https://www.facebook.com/newton.institute
📷| Instagram: https://www.instagram.com/isaacnewtoninstitute
🔗| LinkedIn: https://www.linkedin.com/company/isaac-newton-institute-for-mathematical-sciences
SEMINAR ROOMS
🥇| INI Seminar Room 1: https://www.youtube.com/@iniseminarroom1
🥈| INI Seminar Room 2: https://www.youtube.com/@iniseminarroom2
🛰️| INI Satellite Events: https://www.youtube.com/@inisatellite
ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
👉 Learn more about us and our events here: https://www.newton.ac.uk
https://wn.com/Quantum_Information,_Quantum_Groups_And_Operator_Algebras_Qiaw01_|_Monday,_4_November
The school will be the starting event of the INI programme `Quantum information, quantum groups and operator algebras'. It will consist of three introductory lecture courses on the main themes of the programme. The key focus will be on integrating experts working on different topics and indicating possible directions of research interactions. The school is also open to any researchers interested in the topics, especially graduate students.
Find out more: https://www.newton.ac.uk/event/qiaw01/
-------------------
FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel: https://www.youtube.com/@isaacnewtoninstitute
🐦| Twitter: https://twitter.com/NewtonInstitute
💬| Facebook: https://www.facebook.com/newton.institute
📷| Instagram: https://www.instagram.com/isaacnewtoninstitute
🔗| LinkedIn: https://www.linkedin.com/company/isaac-newton-institute-for-mathematical-sciences
SEMINAR ROOMS
🥇| INI Seminar Room 1: https://www.youtube.com/@iniseminarroom1
🥈| INI Seminar Room 2: https://www.youtube.com/@iniseminarroom2
🛰️| INI Satellite Events: https://www.youtube.com/@inisatellite
ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
👉 Learn more about us and our events here: https://www.newton.ac.uk
- published: 05 Nov 2024
- views: 78
27:16
Differential equations, a tourist's guide | DE1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos...
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
https://wn.com/Differential_Equations,_A_Tourist's_Guide_|_De1
An overview of what ODEs are all about
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to share the videos.
Special thanks to these supporters: http://3b1b.co/de1thanks
Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz's NYT article on the math of love:
https://opinionator.blogs.nytimes.com/2009/05/26/guest-column-loves-me-loves-me-not-do-the-math/
Interactive visualization of the example from this video, by Ilya Perederiy:
https://www.expunctis.com/2019/04/04/vtvt-another-demo.html
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
https://www.physics.umd.edu/courses/Phys404/Anlage_Spring10/The%20TangledTaleofPhaseSpace.pdf
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
https://observablehq.com/@tophtucker/tales-from-the-romeo-and-juliet-phase-space
https://observablehq.com/@mbostock/predator-and-prey
Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Vietnamese: @ngvutuan2811
------------------
Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
- published: 31 Mar 2019
- views: 4255762