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ULearnBig
28 Views · 4 months ago

MIT Introduction to Deep Learning 6.S191: Lecture 1
Foundations of Deep Learning
Lecturer: Alexander Amini
2023 Edition

For all lectures, slides, and lab materials: http://introtodeeplearning.com/

Lecture Outline
0:00​ - Introduction
8:14 ​ - Course information
11:33​ - Why deep learning?
14:48​ - The perceptron
20:06​ - Perceptron example
23:14​ - From perceptrons to neural networks
29:34​ - Applying neural networks
32:29​ - Loss functions
35:12​ - Training and gradient descent
40:25​ - Backpropagation
44:05​ - Setting the learning rate
48:09​ - Batched gradient descent
51:25​ - Regularization: dropout and early stopping
57:16​ - Summary

Subscribe to stay up to date with new deep learning lectures at MIT, or follow us on @MITDeepLearning on Twitter and Instagram to stay fully-connected!!

ULearnBig
26 Views · 4 months ago

The documentary film "History of Mathematics" takes viewers on a fascinating journey through time to explore the evolution of mathematics in various civilizations. From ancient Egypt and Mesopotamia to Greece, China, India, and the Middle East, the film highlights the contributions of prominent mathematicians and their impact on the field.

The film delves into the use of decimal systems, the invention of the number zero and the concept of infinity, the creation of algebra, and the spread of Eastern knowledge to the West. With a combination of historical footage, expert interviews, and breathtaking visuals, this documentary brings to life the rich history of mathematics and its role in shaping the world we live in today..

1:20 - Mathematics in Egypt
19:30 - Mathematics in Mesopotamia
35:21 - Mathematics in Greece
54:21 - Mathematics in China
1:10:08 - Mathematics in India
1:35:36 - Mathematics in Europe

#mathematics #math #history #documentary

ULearnBig
20 Views · 4 months ago

Let's explore the most amazing man-made and natural wonders of our Planet Earth. In this thrilling documentary we will take you on an adventure around the planet, uncovering the most beautiful places that exist on our green planet.

Let's delve into the exploration of awe-inspiring landscapes, including majestic mountains, tumbling waterfalls, expansive glaciers, secret caves, erupting volcanoes, geological craters and canyons, the diverse marine life of underwater worlds, and lush jungles.

We will visit over 150 different locations in this FREE 4k documentary including: Old Man of Storr, Cappadocia, Grand Canyon, Valle de la Luna, Mount Fanjing Temple, Valley of the Baobabs, Lencois Maranhenses, Faroe Islands, Banff National Park, Amazon Rainforest, Matterhorn, Petra, Richat Structure, Monument Valley, Lake Natron, Greenland, Petrified Forest, Waitomo Caves, Death Valley, Moorea, Cliffs of Moher, Nusa Penida, Yosemite, Sahara Desert, Ice Hotel, Angel Falls, Antarctice, Deadvlei, and many many more!

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ULearnBig
25 Views · 4 months ago

Sal Khan, the founder and CEO of Khan Academy, thinks artificial intelligence could spark the greatest positive transformation education has ever seen. He shares the opportunities he sees for students and educators to collaborate with AI tools -- including the potential of a personal AI tutor for every student and an AI teaching assistant for every teacher -- and demos some exciting new features for their educational chatbot, Khanmigo.

If you love watching TED Talks like this one, become a TED Member to support our mission of spreading ideas: https://ted.com/membership

Follow TED!
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The TED Talks channel features talks, performances and original series from the world's leading thinkers and doers. Subscribe to our channel for videos on Technology, Entertainment and Design — plus science, business, global issues, the arts and more. Visit https://TED.com to get our entire library of TED Talks, transcripts, translations, personalized talk recommendations and more.

Watch more: https://go.ted.com/salkhan

https://youtu.be/hJP5GqnTrNo

TED's videos may be used for non-commercial purposes under a Creative Commons License, Attribution–Non Commercial–No Derivatives (or the CC BY – NC – ND 4.0 International) and in accordance with our TED Talks Usage Policy: https://www.ted.com/about/our-....organization/our-pol For more information on using TED for commercial purposes (e.g. employee learning, in a film or online course), please submit a Media Request at https://media-requests.ted.com

#ted #tedtalks #education #ai #khanacademy

ULearnBig
21 Views · 4 months ago

There is one question that, perhaps more than any other, gets to the root of who we are and what motivates us: “What did I need to do in childhood to win the support and approval of my parents?” We might - to sharpen the picture - need to lean on a few subsidiary enquiries…

Enjoying our Youtube videos? Get full access to all our audio content, videos, and thousands of thought-provoking articles, conversation cards and more with The School of Life Subscription: https://t.ly/_D9cB


Learn, heal and grow. Get the best of The School of Life delivered straight to your inbox: https://t.ly/cUQdU

FURTHER READING

You can read more on this and other subjects in our articles, here: https://t.ly/JYcLU

“There is one question that, perhaps more than any other, gets to the root of who we are and what motivates us:

What did I need to do in childhood to win the support and approval of my parents?

We might - to sharpen the picture - need to lean on a few subsidiary enquiries:

To please my father, I needed to…
To please my mother, I needed to…

Not to upset my mother, I needed to…
Not to upset my father, I needed to…

Whatever might be claimed, no family ever gives its offspring unconditional love; there is always, more or less subtly, something that one has to do and to be - and other things that must at all costs be skirted…”


MORE SCHOOL OF LIFE

Watch more films on SELF in our playlist:
http://bit.ly/TSOLself


SOCIAL MEDIA

Feel free to follow us at the links below:

Facebook: https://www.facebook.com/theschooloflifelondon/
Twitter: https://twitter.com/TheSchoolOfLife
Instagram: https://www.instagram.com/theschooloflifelondon/
LinkedIn: https://www.linkedin.com/compa....ny/the-school-of-lif

CREDITS

Produced in collaboration with:

Deanca Rensyta
https://www.deancarensyta.com


Title animation produced in collaboration with


Graeme Probert
www.gpmotion.co.uk

ULearnBig
25 Views · 4 months ago

Use the code NATHANIEL20 with this link to get a discount when signing up to Lingoda: https://try.lingoda.com/NathanielDrew_Sprint

Check out Frame x Frame (my post-production masterclass to learn how I edit/animate) → https://www.fxfcourse.com/

My Newsletter 🍦→ https://www.nathanieldrew.com/newsletter
My Podcast / Second Channel → https://www.youtube.com/channe....l/UCZbOmMsPgxuWmj5pG
Instagram → https://www.instagram.com/nathanieldrew_/

My online courses → https://www.nathanieldrew.com/onlinecourses
My Patreon → https://www.patreon.com/nathanieldrew
My gear 📷 → https://www.nathanieldrew.com/my-gear

ULearnBig
16 Views · 4 months ago

Why I haven't washed my hair in 5 years
We publish an extra video every month over at https://www.patreon.com/johnnyharris

This video is sponsored by BetterHelp. Get 10% off your first month of BetterHelp: https://BetterHelp.com/JohnnyHarris
Affordable, private online counseling.

- ways to support -
My Patreon: https://www.patreon.com/johnnyharris
Our custom Presets & LUTs: https://store.dftba.com/produc....ts/johnny-iz-luts-an

- where to find me -
Instagram: https://www.instagram.com/johnny.harris/
Tiktok: https://www.tiktok.com/@johnny.harris
Facebook: https://www.facebook.com/JohnnyHarrisVox
Iz's (my wife’s) channel: https://www.youtube.com/iz-harris

- how i make my videos -
Tom Fox makes my music, work with him here: https://tfbeats.com/
I make maps using this AE Plugin: https://aescripts.com/geolayers/?aff=77
All the gear I use: https://www.izharris.com/gear-guide

- my courses -
Learn a language: https://brighttrip.com/course/language/
Visual storytelling: https://www.brighttrip.com/cou....rses/visual-storytel

- about -
Johnny Harris is a filmmaker and journalist. He currently is based in Washington, DC, reporting on interesting trends and stories domestically and around the globe. Johnny's visual style blends motion graphics with cinematic videography to create content that explains complex issues in relatable ways. He holds a BA in international relations from Brigham Young University and an MA in international peace and conflict resolution from American University.

- press -
NYTimes: https://www.nytimes.com/2021/1....1/09/opinion/democra
NYTimes: https://www.nytimes.com/video/....opinion/100000007358
Vox Borders: https://www.youtube.com/watch?v=hLrFyjGZ9NU
Finding Founders: https://findingfounders.co/epi....sodes/johnny-harris-
NPR Planet Money: https://www.npr.org/transcripts/1072164745

ULearnBig
20 Views · 4 months ago

View full lesson: http://ed.ted.com/lessons/the-....benefits-of-a-good-n

It’s 4am, and the big test is in 8 hours. You’ve been studying for days, but you still don’t feel ready. Should you drink another cup of coffee and spend the next few hours cramming? Or should you go to sleep? Shai Marcu defends the latter option, showing how sleep restructures your brain in a way that’s crucial for how our memory works.

Lesson by Shai Marcu, animation by Javier Saldeña.

ULearnBig
13 Views · 4 months ago

The Real Reason We Drink Cow’s Milk
Click my CoPilot link https://go.mycopilot.com/johnnyharris to get a FREE TRIAL with your own expert fitness and health coach.

Ever wonder why your mom made you drink so much milk as a kid? Turns out the answer is a lie.

Btw we recently experimented with a new map only format to tell the story of the US government meddling in other countries. Check it out and let me know if you like it and we’ll do more! https://youtu.be/_wIOqHSsV9c

Next week’s video is already live. It’s about why unemployment is a much bigger deal than we realize. Go watch now on Nebula (a portion of your subscription goes directly to support our channel): https://nebula.tv/videos/johnn....yharris-unemployment

Check out all my sources for this video here: https://docs.google.com/docume....nt/d/1UbxQ_gXyq4jQRm

Get access to behind-the-scenes vlogs, my scripts, and extended interviews over at https://www.patreon.com/johnnyharris

Custom Presets & LUTs [what we use]: https://store.dftba.com/produc....ts/johnny-iz-luts-an

Thank you to Michael Moss for lending his expertise. You can read his book “Hooked” here - https://www.mossbooks.us/#HOOOKEDOutSoon

A big thank you to Melanie Dupuis for speaking to us for this video. She has a fantastic book that we cited throughout this piece. Read “Nature’s Perfect Food: How Milk Became America’s Drink” here - https://books.google.ch/books?id=V_CuITfG-FgC&pg=PA47&dq=how+we+started+drinking+milk&lr=&hl=de&source=gbs_toc_r&cad=2#v=onepage&q&f=false

Thank you to Ariana Gerstein and her film “Milk in the Land.” Check out her website to see more of her work - https://www.arianagerstein.com/

About:
Johnny Harris is an Emmy-winning independent journalist and contributor to the New York Times. Based in Washington, DC, Harris reports on interesting trends and stories domestically and around the globe, publishing to his audience of over 3.5 million on Youtube. Harris produced and hosted the twice Emmy-nominated series Borders for Vox Media. His visual style blends motion graphics with cinematic videography to create content that explains complex issues in relatable ways.

- press -
NYTimes: https://www.nytimes.com/2021/1....1/09/opinion/democra
NYTimes: https://www.nytimes.com/video/....opinion/100000007358
Vox Borders: https://www.youtube.com/watch?v=hLrFyjGZ9NU
NPR Planet Money: https://www.npr.org/transcripts/1072164745


- where to find me -
Instagram: https://www.instagram.com/johnny.harris/
Tiktok: https://www.tiktok.com/@johnny.harris
Facebook: https://www.facebook.com/JohnnyHarrisVox
Iz's (my wife’s) channel: https://www.youtube.com/iz-harris

- how i make my videos -
Tom Fox makes my music, work with him here: https://tfbeats.com/
I make maps using this AE Plugin: https://aescripts.com/geolayers/?aff=77
All the gear I use: https://www.izharris.com/gear-guide

- my courses -
Learn a language: https://brighttrip.com/course/language/
Visual storytelling: https://www.brighttrip.com/cou....rses/visual-storytel

ULearnBig
7 Views · 4 months ago

View full lesson: http://ed.ted.com/lessons/how-....to-practice-effectiv

Mastering any physical skill takes practice. Practice is the repetition of an action with the goal of improvement, and it helps us perform with more ease, speed, and confidence. But what does practice actually do to make us better at things? Annie Bosler and Don Greene explain how practice affects the inner workings of our brains.

Lesson by Annie Bosler and Don Greene, animation by Martina Meštrović.

ULearnBig
49 Views · 4 months ago

How does ballet convey narrative, emotion, and character? Dive into “The Sleeping Beauty” to see how a ballet creates its essential elements.

--

A baby cursed at birth. A fierce battle of good and evil. A true love awoken with a kiss. Since premiering in 1890, “The Sleeping Beauty” has become one of the most frequently staged ballets in history. So what makes this piece so beloved? And what exactly does ballet bring to this— or any other— story? Ming Luke shares what makes ballet the perfect medium for stories old and new.

Lesson by Ming Luke, directed by Visorama.

Animator's website: http://www.visorama.tv/
Sign up for our newsletter: http://bit.ly/TEDEdNewsletter
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View full lesson: https://ed.ted.com/lessons/wha....t-s-the-point-e-of-b

Thank you so much to our patrons for your support! Without you this video would not be possible! Mehmet Yusuf Ertekin, Arlene Weston, phkphk123321, Jennifer Kurkoski, Ryan B Harvey, Austin Randall, Abhishek Bansal, Jayant Sahewal, Dian Atamyanov, igor romanenko, Jose Arcadio Valdes Franco, Brandy Sarver, Guy Hardy, Tu-Anh Nguyen, Karl Laius, Madee Lo, JY Kang, Marc Bou Zeid, Abhishek Goel, Charles A Hershberger, Coenraad Keuning, Robert Seik, Heidi Stolt, Alexis Hevia, Todd Gross, Brady Jones, Christina Salvatore, Zhong Ming Zenny Tan, Karisa Caudill, Bruno Pinho, Derek Drescher, Mihail Radu Pantilimon, Amin Shahril, Mohamed Elsayed, Barthélémy Michalon, Chumi Ogbonna, Karlee Finch, Mohammad Said, jj5252, Kelvin Lam, Mauricio Basso, Athena Grace Franco, Tirath Singh Pandher, Melvin Williams, Tsz Hin Edmund Chan, Nicolas Silva, Raymond Lee, Kurt Almendras, Denise A Pitts and Abdallah Absi.

ULearnBig
18 Views · 4 months ago

Why one of the greatest inventors of all time died penniless.

*Correction: @ 7:03 It's debated who "discovered" America. The 400th anniversary of the World's Columbian Exposition of 1893 marked Christopher Columbus' voyage to the Americas.

Newsthink is produced and presented by Cindy Pom
https://twitter.com/cindypom

Grab your Newsthink merch here: https://newsthink.creator-spring.com

Support us on Patreon: https://www.patreon.com/Newsthink

Sources:
0:31 Daniel Schwen / CC BY-SA 4.0 via Wikimedia Commons
1:27 Ealdgyth / CC BY-SA 3.0 via Wikimedia Commons
3:01 Jacquesverlaeken / CC BY-SA BY 3.0 via Wikimedia Commons
7:35 Tesla statue: Milan Suvajac / CC BY-SA 4.0 via Wikimedia Commons
9:00 Stanislav Kozlovskiy / CC BY-SA 3.0 via Wikimedia Commons
9:35 Original image: OneTeslaDerived image: Chetvorno / CC BY-SA 4.0 via Wikimedia Commons
9:42 Wellcome Collection CC BY 4.0 https://wellcomecollection.org/works/sq2828s9
10:17 Cardiff Council Flat Holm Project / CC BY 3.0 via Wikimedia Commons
10:54 Wellcome Collection CC BY 4.0 https://wellcomecollection.org/works/sq2828s9

ULearnBig
27 Views · 4 months ago

WTF is a Deep Fake?

Ready or not, deep fakes are here to stay. Deep fakes are going to change the way we trust information around us and even each other. The question is - are we prepared for the threat they cause while being able to harness their potential for good?

My next video is live on Nebula NOW! It's about how countries are starting to challenge the US-led world order that emerged after World War 2. Watch now: https://nebula.tv/videos/johnn....yharris-were-heading

Check out all my sources for this video here: https://docs.google.com/docume....nt/d/1m-P_PVIa4PRfIc

-- VIDEO CHAPTERS --
0:00 Intro
1:51 Incogni
3:54 What Are Deep Fakes?
8:01 The Good Side of Deep Fakes
8:58 And the Bad Side
11:37 Misinformation
13:17 The Legal System
14:58 Cyber Crime
16:55 Solutions
18:51 Conclusion



Get access to behind-the-scenes vlogs, my scripts, and extended interviews over at https://www.patreon.com/johnnyharris

I made a poster about maps - check it out: https://store.dftba.com/produc....ts/all-maps-are-wron

Custom Presets & LUTs [what we use]: https://store.dftba.com/produc....ts/johnny-iz-luts-an

The music for this video, created by our in house composer Tom Fox, is available on our music channel, The Music Room! Follow the link to hear this soundtrack and many more: https://youtu.be/Y_WBGC_28z4

About:
Johnny Harris is an Emmy-winning independent journalist and contributor to the New York Times. Based in Washington, DC, Harris reports on interesting trends and stories domestically and around the globe, publishing to his audience of over 3.5 million on Youtube. Harris produced and hosted the twice Emmy-nominated series Borders for Vox Media. His visual style blends motion graphics with cinematic videography to create content that explains complex issues in relatable ways.

- press -
NYTimes: https://www.nytimes.com/2021/1....1/09/opinion/democra
NYTimes: https://www.nytimes.com/video/....opinion/100000007358
Vox Borders: https://www.youtube.com/watch?v=hLrFyjGZ9NU
NPR Planet Money: https://www.npr.org/transcripts/1072164745


- how i make my videos -
Tom Fox makes my music, work with him here: https://tfbeats.com/
I make maps using this AE Plugin: https://aescripts.com/geolayers/?aff=77
All the gear I use: https://www.izharris.com/gear-guide

ULearnBig
16 Views · 4 months ago

Dig into the science of stretching, and find out what it actually does to your muscles and how you can improve your flexibility.

--

An athlete is preparing for a game. They’ve put on their gear and done their warmup, and now it’s time for one more routine — stretching. Typically, athletes stretch before physical activity to avoid injuries like strains and tears. But does stretching actually prevent these issues? And if so, how long do the benefits of stretching last? Malachy McHugh explores the finer points of flexibility.

Lesson by Malachy McHugh, directed by Sofia Pashaei.

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View full lesson: https://ed.ted.com/lessons/how....-stretching-actually
Dig deeper with additional resources: https://ed.ted.com/lessons/how....-stretching-actually#digdeeper music: https://www.campstudio.co
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Thank you so much to our patrons for your support! Without you this video would not be possible! Cyrus Garay, Samuel Barbas, LadyGeek, Marin Kovachev, Penelope Misquitta, Hans Peng, Gaurav Mathur, Erik Biemans, Tony, Michelle, Katie and Josh Pedretti, Hoai Nam Tran, Kack-Kyun Kim, Michael Braun-Boghos, zjweele13, Anna-Pitschna Kunz, Edla Paniguel, Thomas Mungavan, Jaron Blackburn, Venkat Venkatakrishnan, ReuniteKorea, Aaron Henson, Rohan Gupta, Begum Tutuncu, Brian Richards, Jørgen Østerpart, Tyron Jung, Carsten Tobehn, Katie Dean, Ezgi Yersu, Gerald Onyango, alessandra tasso, Doreen Reynolds-Consolati, Manognya Chakrapani, Ayala Ron, Eunsun Kim, Phyllis Dubrow, Ophelia Gibson Best, Paul Schneider, Joichiro Yamada, Henrique Cassús, Karthik Cherala, Clarence E. Harper Jr., Vignan Velivela, Ana Maria, Exal Enrique Cisneros Tuch, Tejas Dc, Khalifa Alhulail, Martin Stephen, Jose Henrique Leopoldo e Silva, Mandeep Singh and Abhijit Kiran Valluri.

ULearnBig
135 Views · 4 months ago

View full lesson: http://ed.ted.com/lessons/the-....physics-of-the-harde

In the third act of "Swan Lake", the Black Swan pulls off a seemingly endless series of turns, bobbing up and down on one pointed foot and spinning around and around and around ... thirty-two times. How is this move — which is called a fouetté — even possible? Arleen Sugano unravels the physics of this famous ballet move.

Lesson by Arlene Sugano, animation by Dancing Line Productions.

ULearnBig
10 Views · 4 months ago

View full lesson: http://ed.ted.com/lessons/the-....origins-of-ballet-je

Can you imagine a party where every movement and every visual detail were governed by a complex system of rules and procedures? For centuries, such rituals were commonplace for European nobility. And while they’ve gone out of fashion, we recognize the components under a familiar label: ballet. Jennifer Tortorello and Adrienne Westwood outline the history of this graceful and precise dance.

Lesson by Jennifer Tortorello and Adrienne Westwood, animation by Moran Barak Studio.

ULearnBig
22 Views · 4 months ago

A visual and musical journey to the edge of our universe, visualizing the fabric of space-time in order to study its dynamics and different forms...

0:00 - Galaxies
2:05 - Big Bang
3:20 - The Earth
6:35 - Black hole
9:10 - Rotating black hole
10:37 - Gravitational waves

You can listen to the soundtrack on SoundCloud :
https://soundcloud.com/arousse....l/sets/voyage-a-trav

This video is narrated by Octave Masson.
For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN
And if you liked this video, you can share it on social networks !

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Instagram : http://instagram.com/ScienceClic

Alessandro Roussel,
For more info: http://www.alessandroroussel.com/en

_________________________________________________
ScienceClic Français : http://youtube.com/ScienceClic
ScienceClic Español : http://youtube.com/ScienceClicES
_________________________________________________

ULearnBig
36 Views · 4 months ago

What optical effects appear when we accelerate? Could we reach the speed of light? And what would we see when we try to go faster? All these answers in 15 minutes!

0:00 - Introduction
1:01 - Take-off
2:25 - Aberration of light
4:41 - Doppler effect
6:50 - Time dilation
7:48 - Length contraction
10:28 - Speed of light
12:24 - Warp drive

This video is narrated by Octave Masson.
For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN
And if you liked this video, you can share it on social networks !

To support me on Patreon : http://www.patreon.com/ScienceClic
or on Tipeee : http://tipeee.com/ScienceClic

Facebook Page : http://facebook.com/ScienceClic
Twitter : http://twitter.com/ScienceClic
Instagram : http://instagram.com/ScienceClic

Alessandro Roussel,
For more info: http://www.alessandroroussel.com/en

_________________________________________________
ScienceClic Français : http://youtube.com/ScienceClic
ScienceClic Español : http://youtube.com/ScienceClicES
_________________________________________________
To learn more :
https://en.wikipedia.org/wiki/....Relativistic_aberrat
https://en.wikipedia.org/wiki/Terrell_rotation

ULearnBig
37 Views · 4 months ago

Brown University computer scientist Ellie Pavlick is translating philosophical concepts such as “understanding” and “meaning” into concrete ideas that are testable on LLMs.

Read more at Quanta Magazine: https://www.quantamagazine.org..../does-ai-know-what-a
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Chapters:

---------
- VISIT our website: https://www.quantamagazine.org
- LIKE us on Facebook: / quantanews
- FOLLOW us Twitter: / quantamagazine

Quanta Magazine is an editorially independent publication supported by the Simons Foundation: https://www.simonsfoundation.org/

ULearnBig
11 Views · 4 months ago

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-discove

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-cent

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-sh
- Original story with links to research papers can be found here: https://www.quantamagazine.org..../hobbyist-finds-math
- 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-s

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