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Natasha Dobrinen - Ramsey theory on trees and applications to big Ramsey degrees
Mini-course “Infinitary Ramsey Theory”, part II: Ramsey theory on trees and applications to big Ramsey degrees
Natasha Dobrinen (University of Denver, Colorado, USA)
This is part II of a two-part mini-course given at the Kurt Gödel Research Center, Universität Wien on January 9, 2019. Part I has been given on January 8, 2019.
The slides for part II (this part) are available at https://drive.google.com/open?id=1I7h8Cwxhk2Or-F_tWaiuiFmimsQg2GDX
(The slides for part I (the previous part) are available at https://drive.google.com/open?id=1TSzT6D9n8W0UtXVLFz6JKWkMTlPgW5dl)
Abstract
The Infinite Ramsey Theorem states that given $n,r\ge 1$ and a coloring of all $n$-sized subsets of $\mathbb{N}$ into $r$ colors, there is an infinite subset of $\mathbb{N}$ in which all $n$-sized subsets have ...
published: 09 Jan 2019
-
Biggest Breakthroughs in Math: 2023
Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.
Read about more math breakthroughs from this year at Quanta Magazine: https://www.quantamagazine.org/the-biggest-discoveries-in-math-in-2023-20231222/
00:05 Ramsey Numbers
One of the biggest mathematical discoveries of the past year was in graph theory where the proof of a new, tighter upper bound to Ramsey numbers. These numbers measure the size that graphs must reach before inevitably containing structures called cliques. The discovery, announced in March, was the first advance of its type since 1935.
- Original story with links to research papers can be found here: https://www.quantamagazine.org/after-ne...
published: 23 Dec 2023
-
Alexander Clifton: "Ramsey Theory for Diffsequences"
Abstract: Van der Waerden's theorem states that any coloring of the natural numbers with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number W(r,k)$which is the smallest $n$ such that any $r$-coloring of {1,2,...,n} guarantees the presence of a monochromatic arithmetic progression of length k.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a D-diffsequence, which is an increasing sequence a_1,a_2...,a_k in which the consecutive differences a_i-a_{i-1} all lie in some given set D. For each D that exhibits a van der Waerden-type result, we let Delta(D,k;r) represent the analogue of the ...
published: 26 Feb 2022
-
Ramsey Theory: Lecture 2 - Finite Ramsey's Theorem and Ramsey's Theorem for r-sets
This is the second lecture in my course on Ramsey Theory.
Email for queries: [email protected]
published: 01 Sep 2021
-
Why complete chaos is impossible || Ramsey Theory
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription!
Normal tic-tac-toe can always be drawn. But what if it lives in high dimensions? It turns out that no matter how large a tic-tac-toe board you have or how many players want to play, there always is a dimension long enough that guarantees the 1st player will always win. The theorem behind this, Hales-Jewett, is part of a family of theorems in Ramsey theory that show how lower level structures (like straight lines of the same colour) are always going to occur if the dimension is large enough. That is, you can't have a system that is totally without order. In this video we explore these tic-tac-toe generalizations, the Van Der Waerden...
published: 27 Aug 2023
-
Graph Theory 9-2: Ramsey's Theorem
In this second video of Week 9, we prove Ramsey's theorem and some of its generalizations; in particular, this involves finding order in the midst of chaos.
published: 04 Feb 2021
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Advances on Ramsey numbers - Jacob Fox
https://www.math.ias.edu/seminars/abstract?event=83564
published: 23 Nov 2015
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Ramsey Theory: An Introduction
This video is created as a study project by Class Math 303 Group 1B from Simon Fraser University. The purpose of this video is to create a gentle introduction about Ramsey Theory.
Credits:
Director: Naiyuan Guo
Animation: Naiyuan Guo,Rose (Rong) Luo
Design: Biying Xu
Sound: Chrisitine Yang
Academic Proof: Nicole Cossey
Editing: Zen So
Production Supervisor: Rose (Rong) Luo
published: 06 Apr 2014
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2022.09.27, Alexander Clifton, Ramsey Theory for Diffsequences
Alexander Clifton, Ramsey Theory for Diffsequences
September 27 2022, Tuesday @ 4:30 PM ~ 5:30 PM
Room B332, IBS (기초과학연구원)
Speaker
Alexander Clifton
IBS Discrete Mathematics Group
https://sites.google.com/view/alexander-clifton/home
Van der Waerden's theorem states that any coloring of $\mathbb{N}$ with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number $W(r,k)$ which is the smallest $n$ such that any $r$-coloring of $\{1,2,\cdots,n\}$ guarantees the presence of a monochromatic arithmetic progression of length $k$.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a $D$-diffsequence,...
published: 27 Sep 2022
-
Probability and Ramsey Theory part 1
Date: April 13, 2017
Speaker: Aaron Robertson, Colgate University
Title: Probability and Ramsey Theory
Abstract:
We will find a threshold function f(k;r) such that almost all r-colorings of more than f(k;r) consecutive integers admit a monochromatic k-term arithmetic progression while almost no r-colorings do if we have less than f(k;r) consecutive integers. We will then move on to investigate the distribution of the random variable X = number of monochromatic k-term arithmetic progressions in [1,n] under random coloring of each integer. It is known that X tends to a Poisson distribution as k tends to infinity. We investigate what X is for small k.
published: 18 Apr 2017
1:24:37
Natasha Dobrinen - Ramsey theory on trees and applications to big Ramsey degrees
Mini-course “Infinitary Ramsey Theory”, part II: Ramsey theory on trees and applications to big Ramsey degrees
Natasha Dobrinen (University of Denver, Colorado...
Mini-course “Infinitary Ramsey Theory”, part II: Ramsey theory on trees and applications to big Ramsey degrees
Natasha Dobrinen (University of Denver, Colorado, USA)
This is part II of a two-part mini-course given at the Kurt Gödel Research Center, Universität Wien on January 9, 2019. Part I has been given on January 8, 2019.
The slides for part II (this part) are available at https://drive.google.com/open?id=1I7h8Cwxhk2Or-F_tWaiuiFmimsQg2GDX
(The slides for part I (the previous part) are available at https://drive.google.com/open?id=1TSzT6D9n8W0UtXVLFz6JKWkMTlPgW5dl)
Abstract
The Infinite Ramsey Theorem states that given $n,r\ge 1$ and a coloring of all $n$-sized subsets of $\mathbb{N}$ into $r$ colors, there is an infinite subset of $\mathbb{N}$ in which all $n$-sized subsets have the same color. There are several natural ways of extending Ramsey's Theorem. One extension is to color infinite sets rather than finite sets. In this case, the Axiom of Choice precludes a full-fledged generalization, but upon restricting to definable colorings, much can still be said. Another way to extend Ramsey's Theorem is to color finite sub-objects of an infinite structure, requiring an infinite substructure isomorphic to the original one. While it is not possible in general to obtain substructures on which the coloring is monochromatic, sometimes one can find bounds on the number of colors, and this can have implications in topological dynamics.
In Part I, we traced the development of Ramsey theory on the Baire space, from the Nash-Williams Theorem for colorings of clopen sets to the Galvin-Prikry Theorem for Borel colorings, culminating in Ellentuck's Theorem correlating the Ramsey property with the property of Baire in a topology refining the metric topology on the Baire space. This refinement is called the Ellentuck topology and is closely connected with Mathias forcing. Several classical spaces with similar properties will be presented, including the Carlson-Simpson space and the Milliken space of block sequences. From these we derived the key properties of topological Ramsey spaces, first abstracted by Carlson and Simpson and more recently given a refined presentation by Todorcevic in his book {\em Introduction to Ramsey spaces}. As the Mathias forcing is closely connected with Ramsey ultrafilters, via forcing mod finite initial segments, so too any Ramsey space has a $\sigma$-closed version which forces an ultrafilter with partition properties. Part I showed how Ramsey spaces can be used to find general schemata into which disparate results on ultrafilters can be seen as special cases, as well as obtain fine-tuned results for structures involving ultrafilters.
Part II (the part you are watching) will focus on Ramsey theory on trees and their applications to Ramsey theory of homogeneous structures. An infinite structure is {\em homogeneous} if each isomorphism between two finite substructures can be extended to an automorphism of the infinite structure. The rationals as a linearly ordered structure and the Rado graph are prime examples of homogeneous structures. Given a coloring of singletons in the rationals, one can find a subset isomorphic to the rationals in which all singletons have the same color. However, when one colors pairs of rationals, there is a coloring due to Sierpinski for which any subset isomorphic to the rationals has more than one color on its pairsets. This is the origin of the theory of {\em big Ramsey degrees}, a term coined by Kechris, Pestov and Todorcevic, which investigates bounds on colorings of finite structures inside infinite structures. Somewhat surprisingly, a theorem of Halpern and Läuchli involves colorings of products of trees, discovered en route to a proof that the Boolean Prime Ideal Theorem is strictly weaker than the Axiom of Choice, is the heart of most results on big Ramsey degrees. We will survey big Ramsey degree results on countable and uncountable structures and related Ramsey theorems on trees, including various results of Dobrinen, Devlin, Džamonja, Hathaway, Larson, Laver, Mitchell, Shelah, and Zhang.
https://wn.com/Natasha_Dobrinen_Ramsey_Theory_On_Trees_And_Applications_To_Big_Ramsey_Degrees
Mini-course “Infinitary Ramsey Theory”, part II: Ramsey theory on trees and applications to big Ramsey degrees
Natasha Dobrinen (University of Denver, Colorado, USA)
This is part II of a two-part mini-course given at the Kurt Gödel Research Center, Universität Wien on January 9, 2019. Part I has been given on January 8, 2019.
The slides for part II (this part) are available at https://drive.google.com/open?id=1I7h8Cwxhk2Or-F_tWaiuiFmimsQg2GDX
(The slides for part I (the previous part) are available at https://drive.google.com/open?id=1TSzT6D9n8W0UtXVLFz6JKWkMTlPgW5dl)
Abstract
The Infinite Ramsey Theorem states that given $n,r\ge 1$ and a coloring of all $n$-sized subsets of $\mathbb{N}$ into $r$ colors, there is an infinite subset of $\mathbb{N}$ in which all $n$-sized subsets have the same color. There are several natural ways of extending Ramsey's Theorem. One extension is to color infinite sets rather than finite sets. In this case, the Axiom of Choice precludes a full-fledged generalization, but upon restricting to definable colorings, much can still be said. Another way to extend Ramsey's Theorem is to color finite sub-objects of an infinite structure, requiring an infinite substructure isomorphic to the original one. While it is not possible in general to obtain substructures on which the coloring is monochromatic, sometimes one can find bounds on the number of colors, and this can have implications in topological dynamics.
In Part I, we traced the development of Ramsey theory on the Baire space, from the Nash-Williams Theorem for colorings of clopen sets to the Galvin-Prikry Theorem for Borel colorings, culminating in Ellentuck's Theorem correlating the Ramsey property with the property of Baire in a topology refining the metric topology on the Baire space. This refinement is called the Ellentuck topology and is closely connected with Mathias forcing. Several classical spaces with similar properties will be presented, including the Carlson-Simpson space and the Milliken space of block sequences. From these we derived the key properties of topological Ramsey spaces, first abstracted by Carlson and Simpson and more recently given a refined presentation by Todorcevic in his book {\em Introduction to Ramsey spaces}. As the Mathias forcing is closely connected with Ramsey ultrafilters, via forcing mod finite initial segments, so too any Ramsey space has a $\sigma$-closed version which forces an ultrafilter with partition properties. Part I showed how Ramsey spaces can be used to find general schemata into which disparate results on ultrafilters can be seen as special cases, as well as obtain fine-tuned results for structures involving ultrafilters.
Part II (the part you are watching) will focus on Ramsey theory on trees and their applications to Ramsey theory of homogeneous structures. An infinite structure is {\em homogeneous} if each isomorphism between two finite substructures can be extended to an automorphism of the infinite structure. The rationals as a linearly ordered structure and the Rado graph are prime examples of homogeneous structures. Given a coloring of singletons in the rationals, one can find a subset isomorphic to the rationals in which all singletons have the same color. However, when one colors pairs of rationals, there is a coloring due to Sierpinski for which any subset isomorphic to the rationals has more than one color on its pairsets. This is the origin of the theory of {\em big Ramsey degrees}, a term coined by Kechris, Pestov and Todorcevic, which investigates bounds on colorings of finite structures inside infinite structures. Somewhat surprisingly, a theorem of Halpern and Läuchli involves colorings of products of trees, discovered en route to a proof that the Boolean Prime Ideal Theorem is strictly weaker than the Axiom of Choice, is the heart of most results on big Ramsey degrees. We will survey big Ramsey degree results on countable and uncountable structures and related Ramsey theorems on trees, including various results of Dobrinen, Devlin, Džamonja, Hathaway, Larson, Laver, Mitchell, Shelah, and Zhang.
- published: 09 Jan 2019
- views: 287
19:12
Biggest Breakthroughs in Math: 2023
Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical d...
Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.
Read about more math breakthroughs from this year at Quanta Magazine: https://www.quantamagazine.org/the-biggest-discoveries-in-math-in-2023-20231222/
00:05 Ramsey Numbers
One of the biggest mathematical discoveries of the past year was in graph theory where the proof of a new, tighter upper bound to Ramsey numbers. These numbers measure the size that graphs must reach before inevitably containing structures called cliques. The discovery, announced in March, was the first advance of its type since 1935.
- Original story with links to research papers can be found here: https://www.quantamagazine.org/after-nearly-a-century-a-new-limit-for-patterns-in-graphs-20230502/
06:21 Aperiodic Monotile
The most attention-getting result of the year was the discovery of a new kind of tile that covers the plane but only in a pattern that never repeats. A two-tile combination that does this has been known since the 1970s, but the single tile, discovered by a hobbyist named David Smith and announced in March, has been a sensation.
CORRECTION: In the video, the image presented as the 'turtle' tile is in fact a rotated 'spectre' tile. To see the correct version of the turtle tile, you can visit Dave Smith's webpage: https://hedraweb.wordpress.com/2023/03/23/its-a-shape-jim-but-not-as-we-know-it/
- Original story with links to research papers can be found here: https://www.quantamagazine.org/hobbyist-finds-maths-elusive-einstein-tile-20230404/
- Build your own aperiodic tiling patterns with Kaplan's online tool: https://cs.uwaterloo.ca/~csk/hat/h7h8.html
14:20 Three Arithmetic Progressions
Two computer scientists, Zander Kelley and Raghu Meka, stunned mathematicians with news of an out-of-left-field breakthrough on an old combinatorics question: How many integers can you throw into a bucket while making sure that no three of them form an evenly spaced progression? Kelley and Meka smashed a long-standing upper bound on the number of integers smaller than some cap N that could be put in the bucket without creating such a pattern.
- Original story with links to research papers can be found here: https://www.quantamagazine.org/surprise-computer-science-proof-stuns-mathematicians-20230321/
- VISIT our Website: https://www.quantamagazine.org
- LIKE us on Facebook: https://www.facebook.com/QuantaNews
- FOLLOW us Twitter: https://twitter.com/QuantaMagazine
Quanta Magazine is an editorially independent publication supported by the Simons Foundation: https://www.simonsfoundation.org/
https://wn.com/Biggest_Breakthroughs_In_Math_2023
Quanta Magazine’s mathematics coverage in 2023 included landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.
Read about more math breakthroughs from this year at Quanta Magazine: https://www.quantamagazine.org/the-biggest-discoveries-in-math-in-2023-20231222/
00:05 Ramsey Numbers
One of the biggest mathematical discoveries of the past year was in graph theory where the proof of a new, tighter upper bound to Ramsey numbers. These numbers measure the size that graphs must reach before inevitably containing structures called cliques. The discovery, announced in March, was the first advance of its type since 1935.
- Original story with links to research papers can be found here: https://www.quantamagazine.org/after-nearly-a-century-a-new-limit-for-patterns-in-graphs-20230502/
06:21 Aperiodic Monotile
The most attention-getting result of the year was the discovery of a new kind of tile that covers the plane but only in a pattern that never repeats. A two-tile combination that does this has been known since the 1970s, but the single tile, discovered by a hobbyist named David Smith and announced in March, has been a sensation.
CORRECTION: In the video, the image presented as the 'turtle' tile is in fact a rotated 'spectre' tile. To see the correct version of the turtle tile, you can visit Dave Smith's webpage: https://hedraweb.wordpress.com/2023/03/23/its-a-shape-jim-but-not-as-we-know-it/
- Original story with links to research papers can be found here: https://www.quantamagazine.org/hobbyist-finds-maths-elusive-einstein-tile-20230404/
- Build your own aperiodic tiling patterns with Kaplan's online tool: https://cs.uwaterloo.ca/~csk/hat/h7h8.html
14:20 Three Arithmetic Progressions
Two computer scientists, Zander Kelley and Raghu Meka, stunned mathematicians with news of an out-of-left-field breakthrough on an old combinatorics question: How many integers can you throw into a bucket while making sure that no three of them form an evenly spaced progression? Kelley and Meka smashed a long-standing upper bound on the number of integers smaller than some cap N that could be put in the bucket without creating such a pattern.
- Original story with links to research papers can be found here: https://www.quantamagazine.org/surprise-computer-science-proof-stuns-mathematicians-20230321/
- VISIT our Website: https://www.quantamagazine.org
- LIKE us on Facebook: https://www.facebook.com/QuantaNews
- FOLLOW us Twitter: https://twitter.com/QuantaMagazine
Quanta Magazine is an editorially independent publication supported by the Simons Foundation: https://www.simonsfoundation.org/
- published: 23 Dec 2023
- views: 1847135
51:15
Alexander Clifton: "Ramsey Theory for Diffsequences"
Abstract: Van der Waerden's theorem states that any coloring of the natural numbers with a finite number of colors will contain arbitrarily long monochromatic a...
Abstract: Van der Waerden's theorem states that any coloring of the natural numbers with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number W(r,k)$which is the smallest $n$ such that any $r$-coloring of {1,2,...,n} guarantees the presence of a monochromatic arithmetic progression of length k.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a D-diffsequence, which is an increasing sequence a_1,a_2...,a_k in which the consecutive differences a_i-a_{i-1} all lie in some given set D. For each D that exhibits a van der Waerden-type result, we let Delta(D,k;r) represent the analogue of the van der Waerden number W(r,k). One question of interest is to determine the possible behaviors of Delta as a function of k. In this talk, we will demonstrate that it is possible for Delta(D,k;r) to grow faster than polynomial in k. Time permitting, we will also discuss a class of D's for which no van der Waerden-type result is possible.
https://wn.com/Alexander_Clifton_Ramsey_Theory_For_Diffsequences
Abstract: Van der Waerden's theorem states that any coloring of the natural numbers with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number W(r,k)$which is the smallest $n$ such that any $r$-coloring of {1,2,...,n} guarantees the presence of a monochromatic arithmetic progression of length k.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a D-diffsequence, which is an increasing sequence a_1,a_2...,a_k in which the consecutive differences a_i-a_{i-1} all lie in some given set D. For each D that exhibits a van der Waerden-type result, we let Delta(D,k;r) represent the analogue of the van der Waerden number W(r,k). One question of interest is to determine the possible behaviors of Delta as a function of k. In this talk, we will demonstrate that it is possible for Delta(D,k;r) to grow faster than polynomial in k. Time permitting, we will also discuss a class of D's for which no van der Waerden-type result is possible.
- published: 26 Feb 2022
- views: 76
23:00
Why complete chaos is impossible || Ramsey Theory
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription!
...
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription!
Normal tic-tac-toe can always be drawn. But what if it lives in high dimensions? It turns out that no matter how large a tic-tac-toe board you have or how many players want to play, there always is a dimension long enough that guarantees the 1st player will always win. The theorem behind this, Hales-Jewett, is part of a family of theorems in Ramsey theory that show how lower level structures (like straight lines of the same colour) are always going to occur if the dimension is large enough. That is, you can't have a system that is totally without order. In this video we explore these tic-tac-toe generalizations, the Van Der Waerden theorem and sketch it's proof.
Reference: This undergrad level book introducing Ramsey Theory has lots more detail on all the theorems and more: https://www.sfu.ca/~vjungic/RamseyNotes/sec_Intro.html
0:00 Friends and Strangers Theorem
2:56 What is Ramsey Theory?
3:36 High dimensional Tic-Tac-Toe
7:58 Hales-Jewett Theorem
10:37 Van der Waerden's theorem
14:42 Proof sketch of Van der Waerden's theorem
21:23 Summary
21:57 Brilliant.org/TreforBazett
Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://beautifulequations.net/pages/trefor
COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
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https://wn.com/Why_Complete_Chaos_Is_Impossible_||_Ramsey_Theory
Keep exploring at ► https://brilliant.org/TreforBazett. Get started for free for 30 days — and the first 200 people get 20% off an annual premium subscription!
Normal tic-tac-toe can always be drawn. But what if it lives in high dimensions? It turns out that no matter how large a tic-tac-toe board you have or how many players want to play, there always is a dimension long enough that guarantees the 1st player will always win. The theorem behind this, Hales-Jewett, is part of a family of theorems in Ramsey theory that show how lower level structures (like straight lines of the same colour) are always going to occur if the dimension is large enough. That is, you can't have a system that is totally without order. In this video we explore these tic-tac-toe generalizations, the Van Der Waerden theorem and sketch it's proof.
Reference: This undergrad level book introducing Ramsey Theory has lots more detail on all the theorems and more: https://www.sfu.ca/~vjungic/RamseyNotes/sec_Intro.html
0:00 Friends and Strangers Theorem
2:56 What is Ramsey Theory?
3:36 High dimensional Tic-Tac-Toe
7:58 Hales-Jewett Theorem
10:37 Van der Waerden's theorem
14:42 Proof sketch of Van der Waerden's theorem
21:23 Summary
21:57 Brilliant.org/TreforBazett
Check out my MATH MERCH line in collaboration with Beautiful Equations
►https://beautifulequations.net/pages/trefor
COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►DIFFERENTIAL EQUATIONS: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw
►LAPLACE TRANSFORM: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
►GAME THEORY: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxdzD8KpTHz6_gsw9pPxRFlX
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS I LOVE (affilliate link):
► https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
- published: 27 Aug 2023
- views: 48139
32:53
Graph Theory 9-2: Ramsey's Theorem
In this second video of Week 9, we prove Ramsey's theorem and some of its generalizations; in particular, this involves finding order in the midst of chaos.
In this second video of Week 9, we prove Ramsey's theorem and some of its generalizations; in particular, this involves finding order in the midst of chaos.
https://wn.com/Graph_Theory_9_2_Ramsey's_Theorem
In this second video of Week 9, we prove Ramsey's theorem and some of its generalizations; in particular, this involves finding order in the midst of chaos.
- published: 04 Feb 2021
- views: 730
59:19
Advances on Ramsey numbers - Jacob Fox
https://www.math.ias.edu/seminars/abstract?event=83564
https://www.math.ias.edu/seminars/abstract?event=83564
https://wn.com/Advances_On_Ramsey_Numbers_Jacob_Fox
https://www.math.ias.edu/seminars/abstract?event=83564
- published: 23 Nov 2015
- views: 4502
3:58
Ramsey Theory: An Introduction
This video is created as a study project by Class Math 303 Group 1B from Simon Fraser University. The purpose of this video is to create a gentle introduction a...
This video is created as a study project by Class Math 303 Group 1B from Simon Fraser University. The purpose of this video is to create a gentle introduction about Ramsey Theory.
Credits:
Director: Naiyuan Guo
Animation: Naiyuan Guo,Rose (Rong) Luo
Design: Biying Xu
Sound: Chrisitine Yang
Academic Proof: Nicole Cossey
Editing: Zen So
Production Supervisor: Rose (Rong) Luo
https://wn.com/Ramsey_Theory_An_Introduction
This video is created as a study project by Class Math 303 Group 1B from Simon Fraser University. The purpose of this video is to create a gentle introduction about Ramsey Theory.
Credits:
Director: Naiyuan Guo
Animation: Naiyuan Guo,Rose (Rong) Luo
Design: Biying Xu
Sound: Chrisitine Yang
Academic Proof: Nicole Cossey
Editing: Zen So
Production Supervisor: Rose (Rong) Luo
- published: 06 Apr 2014
- views: 85546
1:07:57
2022.09.27, Alexander Clifton, Ramsey Theory for Diffsequences
Alexander Clifton, Ramsey Theory for Diffsequences
September 27 2022, Tuesday @ 4:30 PM ~ 5:30 PM
Room B332, IBS (기초과학연구원)
Speaker
Alexander Clifton
IBS Discr...
Alexander Clifton, Ramsey Theory for Diffsequences
September 27 2022, Tuesday @ 4:30 PM ~ 5:30 PM
Room B332, IBS (기초과학연구원)
Speaker
Alexander Clifton
IBS Discrete Mathematics Group
https://sites.google.com/view/alexander-clifton/home
Van der Waerden's theorem states that any coloring of $\mathbb{N}$ with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number $W(r,k)$ which is the smallest $n$ such that any $r$-coloring of $\{1,2,\cdots,n\}$ guarantees the presence of a monochromatic arithmetic progression of length $k$.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a $D$-diffsequence, which is an increasing sequence $a_1, a_2, \cdots, a_k$ ($a_i$ is smaller than $a_{i+1}$) in which the consecutive differences $a_i-a_{i-1}$ all lie in some given set $D$. We say that $D$ is $r$-accessible if every $r$-coloring of $\mathbb{N}$ contains arbitrarily long monochromatic $D$-diffsequences. When $D$ is $r$-accessible, we define $\Delta(D,k;r)$ as the smallest $n$ such that any $r$-coloring of $\{1,2,\cdots,n\}$ guarantees the presence of a monochromatic $D$-diffsequence of length $k$.
One question of interest is to determine the possible behaviors of $\Delta$ as a function of $k$. In this talk, we will demonstrate that is possible for $\Delta(D,k;r)$ to grow faster than polynomial in $k$. We will also discuss a broad class of $D$'s which are not $2$-accessible.
https://wn.com/2022.09.27,_Alexander_Clifton,_Ramsey_Theory_For_Diffsequences
Alexander Clifton, Ramsey Theory for Diffsequences
September 27 2022, Tuesday @ 4:30 PM ~ 5:30 PM
Room B332, IBS (기초과학연구원)
Speaker
Alexander Clifton
IBS Discrete Mathematics Group
https://sites.google.com/view/alexander-clifton/home
Van der Waerden's theorem states that any coloring of $\mathbb{N}$ with a finite number of colors will contain arbitrarily long monochromatic arithmetic progressions. This motivates the definition of the van der Waerden number $W(r,k)$ which is the smallest $n$ such that any $r$-coloring of $\{1,2,\cdots,n\}$ guarantees the presence of a monochromatic arithmetic progression of length $k$.
It is natural to ask what other arithmetic structures exhibit van der Waerden-type results. One notion, introduced by Landman and Robertson, is that of a $D$-diffsequence, which is an increasing sequence $a_1, a_2, \cdots, a_k$ ($a_i$ is smaller than $a_{i+1}$) in which the consecutive differences $a_i-a_{i-1}$ all lie in some given set $D$. We say that $D$ is $r$-accessible if every $r$-coloring of $\mathbb{N}$ contains arbitrarily long monochromatic $D$-diffsequences. When $D$ is $r$-accessible, we define $\Delta(D,k;r)$ as the smallest $n$ such that any $r$-coloring of $\{1,2,\cdots,n\}$ guarantees the presence of a monochromatic $D$-diffsequence of length $k$.
One question of interest is to determine the possible behaviors of $\Delta$ as a function of $k$. In this talk, we will demonstrate that is possible for $\Delta(D,k;r)$ to grow faster than polynomial in $k$. We will also discuss a broad class of $D$'s which are not $2$-accessible.
- published: 27 Sep 2022
- views: 93
29:59
Probability and Ramsey Theory part 1
Date: April 13, 2017
Speaker: Aaron Robertson, Colgate University
Title: Probability and Ramsey Theory
Abstract:
We will find a threshold function...
Date: April 13, 2017
Speaker: Aaron Robertson, Colgate University
Title: Probability and Ramsey Theory
Abstract:
We will find a threshold function f(k;r) such that almost all r-colorings of more than f(k;r) consecutive integers admit a monochromatic k-term arithmetic progression while almost no r-colorings do if we have less than f(k;r) consecutive integers. We will then move on to investigate the distribution of the random variable X = number of monochromatic k-term arithmetic progressions in [1,n] under random coloring of each integer. It is known that X tends to a Poisson distribution as k tends to infinity. We investigate what X is for small k.
https://wn.com/Probability_And_Ramsey_Theory_Part_1
Date: April 13, 2017
Speaker: Aaron Robertson, Colgate University
Title: Probability and Ramsey Theory
Abstract:
We will find a threshold function f(k;r) such that almost all r-colorings of more than f(k;r) consecutive integers admit a monochromatic k-term arithmetic progression while almost no r-colorings do if we have less than f(k;r) consecutive integers. We will then move on to investigate the distribution of the random variable X = number of monochromatic k-term arithmetic progressions in [1,n] under random coloring of each integer. It is known that X tends to a Poisson distribution as k tends to infinity. We investigate what X is for small k.
- published: 18 Apr 2017
- views: 520
-
Larg
Provided to YouTube by 音尚律动
Larg · Elgit Doda · Elgit Doda · Elgit Doda
Larg
℗ 2020 音尚律动
Released on: 2019-08-01
Auto-generated by YouTube.
published: 07 Aug 2020
-
Mellow Mood - Large (Official Video)
Official video for Large by Mellow Mood.
VELOCISSIMO - a Borotalco.tv project
Directors: Theodor Guelat & Marco Colmar
Producers: Enrico Cestaro, Giuditta Mauri
Production assistant: Jacopo Colamartino
Executive Producer: Matteo Stefani, Matilde Composta
Makeup artist: Mary Parpinel
Set designer: Samuele Pagani
Stylist: Roberta Frisullo
Focus Puller: Francesco Rosiglioni
Service: Camera Service Group srl
A huge thanks to: Fondazione Lombardia Film Commission, Amministrazione Comunale di Settimo Milanese, Comando della Polizia Locale di Settimo Milanese, Istituto Comprensivo Paolo Sarpi di Settimo Milanese, Centro Commerciale Metropoli di Novate Milanese, Maneggio Riders srl, Mago srl Trasporti Ippici, Autodemolizione Silkar Srl, Cromo Wash di Minini Fausto, Dama Fruits srl, I Veterani ...
published: 10 Mar 2018
-
Laaj - Episode 1 | APlus Drama | Neelam Muneer, Imran Ashraf, Irfan Khoosat
Drama Title:
Yeh Ishq Hai - Laaj
Director:
Zaheeruddin
Writer:
Kiran Shah
Producer:
Blue Eye Entertainment
OST:
Aman Ali Butt
Dramas Central is the top online platform to watch Pakistani dramas. Featuring some of the latest and most loved dramas from multiple productions, our channel is the hub of entertainment for all!
Dramas, cooking shows, comedy clips and much more, all accumulated under one platform to entertain you guys. Stay tuned for your daily dose of entertainment!
Dramas Central is managed by Dot Republic Media.
Don't forget to subscribe!
https://www.youtube.com/c/dramascentral
published: 25 Aug 2017
-
Large Pilar Cyst. Dr Khaled Sadek LipomaCyst.com
http://www.youtube.com/DrKhaledSadek/?sub_confirmation=1
👆👆💥💥👆👆
________________________________________
In this video Dr Khaled Sadek removes a rather large pilar cyst present on the scalp.
If you would like to connect then reach out to us at LipomaCyst.com or through the following links:
Let's connect:
IG - Dr.khaled.sadek
Twitter Dr_KhaledSadek
Contact Email: [email protected]
[email protected]
Dr Khaled Sadek removes a deep pilar cyst which has been there for many years. These are common and occur commonly on the back. They are removed from our cyst removal clinic in London.
A sebaceous cyst is a non-cancerous growth commonly found on the skin of the back or face, but can occur anywhere on the body. Just as its name suggests, these cysts occur ...
published: 19 Jul 2020
-
الاغنية الألبانية LARGE - ELGIT DODA بتقنية 8D
⚠️تنويه مهم ⚠️
يوصى بأستخدام سماعات محيطية عالية الجودة للأستمتاع بالتجربة
LARGE - ELGIT DODA || NHẠC HOT TIKTOK TRUNG || Tik Tok -- ™ MUSIC 8d
ELGIT DODA
noizy elgit doda
larg elgit doda lyrics remix
elgit doda
elgit doda large
elgit doda large remix
elgit doda - larg ( lyrics video )
elgit doda large lyrics english
large elgit doda lyrics 1 hour
elgit doda larg lyrics english
elgit doda - larg ( lyrics video مترجمة
LARrge elgit
large elgit doda lyrics
large elgit doda lyrics مترجمة
large elgit doda whatsapp status
large elgit doda music only
large elgit doda lyrics vietsub
large elgit مترجمة
large elgit doda lyrics 1 hour
large elgit doda tiktok
large elgit doda lyrics remix 1 hour
large elgit doda ringtone
albanian music
albanian music
albanian music folk
albanian music tradition...
published: 12 Oct 2020
-
ELGIT DODA - LARGE REMIX ↭ NHẠC HOT TIKTOK Trung Quốc ༺ DJ PDT ༻
↭Chúc mọi người nghe nhạc vui vẻ
- Mọi người thấy hay thì hãy๑💛Đăng Ký Kênh↭để ủng hộ mình nha
- Mọi người nhấn chuông để nhận Thông báo mỗi ngày nhé ♥️🙆🏼♂️
- DJ PDT დ✔
- Nhạc EDM
- NONSTOP 2020
- Nonstop Tổng Hợp ✢✔
- Nhạc Trẻ Tổng Hợp ✺ Nhạc Chill Tổng Hợp ...დ
published: 29 Jul 2020
-
D - Block Europe - Large Amounts [Music Video] | GRM Daily
SUBSCRIBE: http://bit.ly/GRMsubscribe VISIT: http://grmdaily.com/
DOWNLOAD THE GRM APP FOR iPHONE & iPAD NOW: https://itunes.apple.com/us/app/grm-daily/id1170798576
DOWNLOAD FOR ANDROID NOW: https://play.google.com/store/apps/details?id=com.grmdaily.grmdaily
@GRMDAILY
TWITTER : http://www.twitter.com/grmdaily
FACEBOOK : http://www.facebook.com/grmdaily
INSTAGRAM : https://www.instagram.com/grmdaily
-~-~~-~~~-~~-~-
Check out J Styles - Daily Duppy
https://www.youtube.com/watch?v=KToXKXWscJ0
-~-~~-~~~-~~-~-
published: 20 Jul 2017
3:13
Larg
Provided to YouTube by 音尚律动
Larg · Elgit Doda · Elgit Doda · Elgit Doda
Larg
℗ 2020 音尚律动
Released on: 2019-08-01
Auto-generated by YouTube.
Provided to YouTube by 音尚律动
Larg · Elgit Doda · Elgit Doda · Elgit Doda
Larg
℗ 2020 音尚律动
Released on: 2019-08-01
Auto-generated by YouTube.
https://wn.com/Larg
Provided to YouTube by 音尚律动
Larg · Elgit Doda · Elgit Doda · Elgit Doda
Larg
℗ 2020 音尚律动
Released on: 2019-08-01
Auto-generated by YouTube.
- published: 07 Aug 2020
- views: 45031644
4:13
Mellow Mood - Large (Official Video)
Official video for Large by Mellow Mood.
VELOCISSIMO - a Borotalco.tv project
Directors: Theodor Guelat & Marco Colmar
Producers: Enrico Cestaro, Giuditta Ma...
Official video for Large by Mellow Mood.
VELOCISSIMO - a Borotalco.tv project
Directors: Theodor Guelat & Marco Colmar
Producers: Enrico Cestaro, Giuditta Mauri
Production assistant: Jacopo Colamartino
Executive Producer: Matteo Stefani, Matilde Composta
Makeup artist: Mary Parpinel
Set designer: Samuele Pagani
Stylist: Roberta Frisullo
Focus Puller: Francesco Rosiglioni
Service: Camera Service Group srl
A huge thanks to: Fondazione Lombardia Film Commission, Amministrazione Comunale di Settimo Milanese, Comando della Polizia Locale di Settimo Milanese, Istituto Comprensivo Paolo Sarpi di Settimo Milanese, Centro Commerciale Metropoli di Novate Milanese, Maneggio Riders srl, Mago srl Trasporti Ippici, Autodemolizione Silkar Srl, Cromo Wash di Minini Fausto, Dama Fruits srl, I Veterani - recupero oggetti storici e trova robe, Niccolò di Guida.
No animals were harmed during the making of this video
Large (L. Garzia) is taken from Mellow Mood's album "Large".
℗ La Tempesta SNC
© 2018 Sony/ATV Publishing Italy
Stream/buy full album here:
https://lnk.to/largemellowmood
Lyrics:
Nuff things me never dream ‘bout
Nuff things me never have
Them come to me and tell me seh fi get it by a piece of paper
Me life me like it sober
Greed a make them mourn
‘Cause all around in the city they cryin’ for more
Large, large
Wah make we want fi live large
Tell you ‘bout large, large
Why we say large, large
Wah make we want fi live large
Though we live large, large
Still miss a little thing
In the west we nuh feed no soul
In the west we just deck the shell
Big brands dictating our wants
Easy we fall under their spell
Consuming consumes a man
That was never a purpose of life
To only crave for material joys
Is believing the lie
Nuff things me never dream ‘bout
Stuff they say I need to have
Them come to me and tell me seh fi get it by their piece of paper
Me life me like it sober
Greed a make them mourn
‘Cause all around in the city they cryin’ for more
https://mellowmoodmusic.com
https://facebook.com/mellowmood
https://instagram.com/mellowmoodofficial
http://latempesta.org/international/ltdub_052.php
#large #mellowmood #latempestadub #latempesta #reggae #paolobaldini
https://wn.com/Mellow_Mood_Large_(Official_Video)
Official video for Large by Mellow Mood.
VELOCISSIMO - a Borotalco.tv project
Directors: Theodor Guelat & Marco Colmar
Producers: Enrico Cestaro, Giuditta Mauri
Production assistant: Jacopo Colamartino
Executive Producer: Matteo Stefani, Matilde Composta
Makeup artist: Mary Parpinel
Set designer: Samuele Pagani
Stylist: Roberta Frisullo
Focus Puller: Francesco Rosiglioni
Service: Camera Service Group srl
A huge thanks to: Fondazione Lombardia Film Commission, Amministrazione Comunale di Settimo Milanese, Comando della Polizia Locale di Settimo Milanese, Istituto Comprensivo Paolo Sarpi di Settimo Milanese, Centro Commerciale Metropoli di Novate Milanese, Maneggio Riders srl, Mago srl Trasporti Ippici, Autodemolizione Silkar Srl, Cromo Wash di Minini Fausto, Dama Fruits srl, I Veterani - recupero oggetti storici e trova robe, Niccolò di Guida.
No animals were harmed during the making of this video
Large (L. Garzia) is taken from Mellow Mood's album "Large".
℗ La Tempesta SNC
© 2018 Sony/ATV Publishing Italy
Stream/buy full album here:
https://lnk.to/largemellowmood
Lyrics:
Nuff things me never dream ‘bout
Nuff things me never have
Them come to me and tell me seh fi get it by a piece of paper
Me life me like it sober
Greed a make them mourn
‘Cause all around in the city they cryin’ for more
Large, large
Wah make we want fi live large
Tell you ‘bout large, large
Why we say large, large
Wah make we want fi live large
Though we live large, large
Still miss a little thing
In the west we nuh feed no soul
In the west we just deck the shell
Big brands dictating our wants
Easy we fall under their spell
Consuming consumes a man
That was never a purpose of life
To only crave for material joys
Is believing the lie
Nuff things me never dream ‘bout
Stuff they say I need to have
Them come to me and tell me seh fi get it by their piece of paper
Me life me like it sober
Greed a make them mourn
‘Cause all around in the city they cryin’ for more
https://mellowmoodmusic.com
https://facebook.com/mellowmood
https://instagram.com/mellowmoodofficial
http://latempesta.org/international/ltdub_052.php
#large #mellowmood #latempestadub #latempesta #reggae #paolobaldini
- published: 10 Mar 2018
- views: 1475007
37:55
Laaj - Episode 1 | APlus Drama | Neelam Muneer, Imran Ashraf, Irfan Khoosat
Drama Title:
Yeh Ishq Hai - Laaj
Director:
Zaheeruddin
Writer:
Kiran Shah
Producer:
Blue Eye Entertainment
OST:
Aman Ali Butt
Dramas Central is the top ...
Drama Title:
Yeh Ishq Hai - Laaj
Director:
Zaheeruddin
Writer:
Kiran Shah
Producer:
Blue Eye Entertainment
OST:
Aman Ali Butt
Dramas Central is the top online platform to watch Pakistani dramas. Featuring some of the latest and most loved dramas from multiple productions, our channel is the hub of entertainment for all!
Dramas, cooking shows, comedy clips and much more, all accumulated under one platform to entertain you guys. Stay tuned for your daily dose of entertainment!
Dramas Central is managed by Dot Republic Media.
Don't forget to subscribe!
https://www.youtube.com/c/dramascentral
https://wn.com/Laaj_Episode_1_|_Aplus_Drama_|_Neelam_Muneer,_Imran_Ashraf,_Irfan_Khoosat
Drama Title:
Yeh Ishq Hai - Laaj
Director:
Zaheeruddin
Writer:
Kiran Shah
Producer:
Blue Eye Entertainment
OST:
Aman Ali Butt
Dramas Central is the top online platform to watch Pakistani dramas. Featuring some of the latest and most loved dramas from multiple productions, our channel is the hub of entertainment for all!
Dramas, cooking shows, comedy clips and much more, all accumulated under one platform to entertain you guys. Stay tuned for your daily dose of entertainment!
Dramas Central is managed by Dot Republic Media.
Don't forget to subscribe!
https://www.youtube.com/c/dramascentral
- published: 25 Aug 2017
- views: 2833229
9:24
Large Pilar Cyst. Dr Khaled Sadek LipomaCyst.com
http://www.youtube.com/DrKhaledSadek/?sub_confirmation=1
👆👆💥💥👆👆
________________________________________
In this video Dr Khaled Sadek r...
http://www.youtube.com/DrKhaledSadek/?sub_confirmation=1
👆👆💥💥👆👆
________________________________________
In this video Dr Khaled Sadek removes a rather large pilar cyst present on the scalp.
If you would like to connect then reach out to us at LipomaCyst.com or through the following links:
Let's connect:
IG - Dr.khaled.sadek
Twitter Dr_KhaledSadek
Contact Email:
[email protected]
[email protected]
Dr Khaled Sadek removes a deep pilar cyst which has been there for many years. These are common and occur commonly on the back. They are removed from our cyst removal clinic in London.
A sebaceous cyst is a non-cancerous growth commonly found on the skin of the back or face, but can occur anywhere on the body. Just as its name suggests, these cysts occur as a result of epidermal cells, cells from the top layer of your skin a.k.a the epidermis, overgrow in a confined space. The buildup of these cells under the skin results in a “cheesy” consistency and often a pungent odor! sebaceous cysts are typically harmless and have no symptoms, but people often seek removal due to the appearance of the bump or because the cyst has become inflamed or ruptured. If you have a ruptured cyst you may notice, sudden redness, pain, swelling, and heat around the area, all of which can lead to an abscess forming. Surgically removing the cyst can cure the area, but the entire cyst sac and all of its contents need to be removed to ensure the cyst won’t grow back!
NEW HEALTH CHANNEL
Dr Khaled Sadek : Uncut
https://www.youtube.com/channel/UCeVuAd4g2Br5W_Fgi_H6D8w.
https://wn.com/Large_Pilar_Cyst._Dr_Khaled_Sadek_Lipomacyst.Com
http://www.youtube.com/DrKhaledSadek/?sub_confirmation=1
👆👆💥💥👆👆
________________________________________
In this video Dr Khaled Sadek removes a rather large pilar cyst present on the scalp.
If you would like to connect then reach out to us at LipomaCyst.com or through the following links:
Let's connect:
IG - Dr.khaled.sadek
Twitter Dr_KhaledSadek
Contact Email:
[email protected]
[email protected]
Dr Khaled Sadek removes a deep pilar cyst which has been there for many years. These are common and occur commonly on the back. They are removed from our cyst removal clinic in London.
A sebaceous cyst is a non-cancerous growth commonly found on the skin of the back or face, but can occur anywhere on the body. Just as its name suggests, these cysts occur as a result of epidermal cells, cells from the top layer of your skin a.k.a the epidermis, overgrow in a confined space. The buildup of these cells under the skin results in a “cheesy” consistency and often a pungent odor! sebaceous cysts are typically harmless and have no symptoms, but people often seek removal due to the appearance of the bump or because the cyst has become inflamed or ruptured. If you have a ruptured cyst you may notice, sudden redness, pain, swelling, and heat around the area, all of which can lead to an abscess forming. Surgically removing the cyst can cure the area, but the entire cyst sac and all of its contents need to be removed to ensure the cyst won’t grow back!
NEW HEALTH CHANNEL
Dr Khaled Sadek : Uncut
https://www.youtube.com/channel/UCeVuAd4g2Br5W_Fgi_H6D8w.
- published: 19 Jul 2020
- views: 862166
3:11
الاغنية الألبانية LARGE - ELGIT DODA بتقنية 8D
⚠️تنويه مهم ⚠️
يوصى بأستخدام سماعات محيطية عالية الجودة للأستمتاع بالتجربة
LARGE - ELGIT DODA || NHẠC HOT TIKTOK TRUNG || Tik Tok -- ™ MUSIC 8d
ELGIT DODA...
⚠️تنويه مهم ⚠️
يوصى بأستخدام سماعات محيطية عالية الجودة للأستمتاع بالتجربة
LARGE - ELGIT DODA || NHẠC HOT TIKTOK TRUNG || Tik Tok -- ™ MUSIC 8d
ELGIT DODA
noizy elgit doda
larg elgit doda lyrics remix
elgit doda
elgit doda large
elgit doda large remix
elgit doda - larg ( lyrics video )
elgit doda large lyrics english
large elgit doda lyrics 1 hour
elgit doda larg lyrics english
elgit doda - larg ( lyrics video مترجمة
LARrge elgit
large elgit doda lyrics
large elgit doda lyrics مترجمة
large elgit doda whatsapp status
large elgit doda music only
large elgit doda lyrics vietsub
large elgit مترجمة
large elgit doda lyrics 1 hour
large elgit doda tiktok
large elgit doda lyrics remix 1 hour
large elgit doda ringtone
albanian music
albanian music
albanian music folk
albanian music traditional
albanian music tik tok
albanian music dance
albanian music 2019
albanian music elgit doda
albanian music show biz
albanian music car
albanian music reaction
https://wn.com/الاغنية_الألبانية_Large_Elgit_Doda_بتقنية_8D
⚠️تنويه مهم ⚠️
يوصى بأستخدام سماعات محيطية عالية الجودة للأستمتاع بالتجربة
LARGE - ELGIT DODA || NHẠC HOT TIKTOK TRUNG || Tik Tok -- ™ MUSIC 8d
ELGIT DODA
noizy elgit doda
larg elgit doda lyrics remix
elgit doda
elgit doda large
elgit doda large remix
elgit doda - larg ( lyrics video )
elgit doda large lyrics english
large elgit doda lyrics 1 hour
elgit doda larg lyrics english
elgit doda - larg ( lyrics video مترجمة
LARrge elgit
large elgit doda lyrics
large elgit doda lyrics مترجمة
large elgit doda whatsapp status
large elgit doda music only
large elgit doda lyrics vietsub
large elgit مترجمة
large elgit doda lyrics 1 hour
large elgit doda tiktok
large elgit doda lyrics remix 1 hour
large elgit doda ringtone
albanian music
albanian music
albanian music folk
albanian music traditional
albanian music tik tok
albanian music dance
albanian music 2019
albanian music elgit doda
albanian music show biz
albanian music car
albanian music reaction
- published: 12 Oct 2020
- views: 300259
3:13
ELGIT DODA - LARGE REMIX ↭ NHẠC HOT TIKTOK Trung Quốc ༺ DJ PDT ༻
↭Chúc mọi người nghe nhạc vui vẻ
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- Mọi người nhấn chuông để nhậ...
↭Chúc mọi người nghe nhạc vui vẻ
- Mọi người thấy hay thì hãy๑💛Đăng Ký Kênh↭để ủng hộ mình nha
- Mọi người nhấn chuông để nhận Thông báo mỗi ngày nhé ♥️🙆🏼♂️
- DJ PDT დ✔
- Nhạc EDM
- NONSTOP 2020
- Nonstop Tổng Hợp ✢✔
- Nhạc Trẻ Tổng Hợp ✺ Nhạc Chill Tổng Hợp ...დ
https://wn.com/Elgit_Doda_Large_Remix_↭_Nhạc_Hot_Tiktok_Trung_Quốc_༺_Dj_Pdt_༻
↭Chúc mọi người nghe nhạc vui vẻ
- Mọi người thấy hay thì hãy๑💛Đăng Ký Kênh↭để ủng hộ mình nha
- Mọi người nhấn chuông để nhận Thông báo mỗi ngày nhé ♥️🙆🏼♂️
- DJ PDT დ✔
- Nhạc EDM
- NONSTOP 2020
- Nonstop Tổng Hợp ✢✔
- Nhạc Trẻ Tổng Hợp ✺ Nhạc Chill Tổng Hợp ...დ
- published: 29 Jul 2020
- views: 40993
3:25
D - Block Europe - Large Amounts [Music Video] | GRM Daily
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-~-~~-~~~-~~-~-
Check out J Styles - Daily Duppy
https://www.youtube.com/watch?v=KToXKXWscJ0
-~-~~-~~~-~~-~-
https://wn.com/D_Block_Europe_Large_Amounts_Music_Video_|_Grm_Daily
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-~-~~-~~~-~~-~-
Check out J Styles - Daily Duppy
https://www.youtube.com/watch?v=KToXKXWscJ0
-~-~~-~~~-~~-~-
- published: 20 Jul 2017
- views: 22287741