Grant Sanderson (from 3Blue1Brown) discusses the briefly brilliant discovery of Paterson Primes. More links & stuff in full description below ↓↓↓ See all three videos in this series - Grant's Prime Pattern Trilogy: https://bit.ly/PrimePatternTrilogy Grant's own false pattern video: https://youtu.be/851U557j6HE Grant's channel is 3Blue1Brown: https://www.youtube.com/c/3blue1brown More Grant on Numberphile: https://bit.ly/Grant_Numberphile Grant on the Numberphile Podcast: https://youtu.be/A0RH93XvSyU With thanks to Michael Colognori for computing the big prime list. The Paterson Primes on OEIS: https://oeis.org/A065722 Correction at 1:20 - 5 (not 17) is 11 in base 4, - still prime of course. And with thanks to Patrick Paterson - of course. Numberphile is supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/ And support from The Akamai Foundation - dedicated to encouraging the next generation of technology innovators and equitable access to STEM education - https://www.akamai.com/company/corporate-responsibility/akamai-foundation NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Special thanks to our friend Jeff for the accommodation and filming space.

Why the 1940s was such a terrible time for Ukraine is the subject of Class 16. Timothy Snyder is the Richard C. Levin Professor of History at Yale University and a permanent fellow at the Institute for Human Sciences in Vienna. He speaks five and reads ten European languages. Ukraine must have existed as a society and polity on 23 February 2022, else Ukrainians would not have collectively resisted Russian invasion the next day. What does it mean for a nation to exist? Is this a matter of structures, actions, or both? Why has the existence of Ukraine occasioned such controversy? In what ways are Polish, Russian, and Jewish self-understanding dependent upon experiences in Ukraine? Just how and when did a modern Ukrainian nation emerge? For that matter, how does any modern nation emerge? Why some and not others? Can nations be chosen, and can choices be decisive? If so, whose, and how? Ukraine was the country most touched by Soviet and Nazi terror: what can we learn about those systems, then, from Ukraine? Is the post-colonial, multilingual Ukrainian nation a holdover from the past, or does it hold some promise for the future? This class has closed captions available in both Ukrainian and Russian subtitles. To access, click on CC settings. Course reading list: https://snyder.substack.com/p/syllabus-of-my-ukraine-lecture-class To see other videos in this course, please click on this playlist link: https://youtube.com/playlist?list=PLh9mgdi4rNewfxO7LhBoz_1Mx1MaO6sw_ To view and/or download class terms, please go to this link. https://yaleedu.sharepoint.com/:f:/s/PoorvuCenter-TeachingStudios/IgA6Wd462B4tQ5uCnO4v-LgEARHqL0ZY8PoWkhxwgaeST8w?e=4363Im For issues with closed captions, please email guy.ortoleva@yale.edu https://u24.gov.ua/shahedhunter https://www.razomforukraine.org/razom-emergency-response/

Watch Dr. Angela Puca's companion video here! https://youtu.be/rfEjXacA5Ko Join our Patreon community!: https://www.patreon.com/religionforbreakfast One-time donations here!: https://www.paypal.me/religionforbreakfast Check out my favorite religious studies books by following this affiliate link to my Amazon page: https://www.amazon.com/shop/religionforbreakfast Bibliography: Lukas Licka, “Approaches to the Extramission Postulate in 13th Century Theories of Vision,” in Medieval Perceptual Puzzles, Brill 2020. Roland Betancourt, “Why Sight is Not Touch: Reconsidering the Tacility of Vision in Byzantium,” Dumbarton Oaks Papers 70, Dec 2016. Van de Ven, Zeelenberg, and Pieters, “Warding off the Evil Eye: When the Fear of Being Envied Increases Prosocial Behavior,” Psychological Science, Volume 21, Issue 11. Antioch mosaic: see Levi, The Evil Eye and the Lucky Hunchback," Antioch Mosaic Pavements, 28-34 Gadi Sagiv, “Dazzling Blue: Color Symbolism, Kabbalistic Myth, and the Evil Eye in Judaism,” Numen 64 (2017) 183-208. Giacomantonio et. al., “The evil eye: Eye gaze and competitiveness in social decision making,” European Journal of Social Psychology, August 2017.

A pattern of integrals that all equal pi...until they don't. Next video on convolutions: https://youtu.be/KuXjwB4LzSA John Baez has a really fun article about this: https://johncarlosbaez.wordpress.com/2018/09/20/patterns-that-eventually-fail/ Help fund future projects: https://www.patreon.com/3blue1brown Special thanks to these patrons: https://3b1b.co/lessons/borwein#thanks An equally valuable form of support is to simply share the videos. Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Hindi: Pragna1991 ------------------ Original paper from David and Jonathan Borwein https://carma.edu.au/resources/db90/pdfs/db90-119.00.pdf Other fun coverage of the topic: http://schmid-werren.ch/hanspeter/publications/2014elemath.pdf https://johncarlosbaez.wordpress.com/2018/09/20/patterns-that-eventually-fail/ Correction: 4:12 The top line should not be there, as that integral diverges Timestamps 0:00 - The pattern 4:45 - Moving average analogy 10:41 - High-level overview of the connection 16:14 - What's coming up next These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ 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 ------------------ 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 Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown

https://ClassicalGuitarShed.com/avoid-muscle-memory/?utm_source=youtube&utm_medium=video&utm_campaign=Why_You_Should_Avoid_Muscle_Memory_on_Guitar&utm_content=CrGKfMYM6Yc Use this simple tip to memorize music more effectively. Make fewer mistakes when you play for people. And remember your pieces for far longer. For even more on the subject, go to https://www.ClassicalGuitarShed.com/avoid-muscle-memory/?utm_source=youtube&utm_medium=video&utm_campaign=Why_You_Should_Avoid_Muscle_Memory_on_Guitar&utm_content=CrGKfMYM6Yc Classical Guitar Shed is an exploration of music, skill, and daily endeavor on the classical guitar. Find articles, courses, tutorials and more at https://www.ClassicalGuitarShed.com/?utm_source=youtube&utm_medium=video&utm_campaign=Why_You_Should_Avoid_Muscle_Memory_on_Guitar&utm_content=CrGKfMYM6Yc If you are learning classical guitar, or would like to learn classical guitar, CGS is a great place to discover resources to help you on the journey. Whether you’re just beginning guitar, or have been playing for decades but want to rise to new levels in your playing, you’ll find highly detailed tutorials and lessons. At the root of beautiful playing is a solid technique (aka “the way your hands move”). You can find step-by-step methods, presented in very fine detail, showing exactly how to get great sound, and how to move your fingers. So as you progress, you can continue to improve. Bad technique puts a limit on your playing (speed, tone quality, control). Good technique gets stronger and more efficient with every practice. It forms the bedrock foundation for a lifetime of beautiful music. You’ll find loads of technique suggestions and tutorials at Classical Guitar Shed. And if you’re serious about learning great skills, you can join The Woodshed, and get arguably the finest classical guitar education online, with personal support and hundreds of practice-along videos. Read more on The Woodshed here: https://www.classicalguitarshed.com/learn-classical-guitar/?utm_source=youtube&utm_medium=video&utm_campaign=Why_You_Should_Avoid_Muscle_Memory_on_Guitar&utm_content=CrGKfMYM6Yc You’ll find some of the deepest-diving explorations of classical guitar and Spanish guitar pieces anywhere online, with step-by-step instructions on how to play guitar beautifully so that the music sings and connects with listeners (and yourself) on an emotional level. Music is not entirely subjective. Some ways of doing things are more effective than others. If you learn these basic “rules”, you’ll automatically play with more grace, beauty, and feeling. At CGS, you’ll also discover archives of comprehensive articles about many of the issues, details, habits, and best practices surrounding playing guitar. You’ll find tips and tricks on how to be more effective at practicing. You’ll find articles on subjects as varied as getting great classical guitar tone, how to avoid pain and injury playing guitar, and the differences between practice and exercise. If you ever need a break from your practice and want to enrich your understanding of all that is classical guitar, browsing the Classical Guitar Shed archives is a great place to explore. If you would like to hear me (Allen Mathews) playing, visit my other youtube channel: http://www.youtube.com/allenmathews/

SUBSCRIBE for more speakers ► http://is.gd/OxfordUnion Oxford Union on Facebook: https://www.facebook.com/theoxfordunion Oxford Union on Twitter: @OxfordUnion Website: http://www.oxford-union.org/ As the dust settles on Boris Johnson’s premiership, the unwritten British constitution has been pushed to its limits. From the unlawful prorogation of parliament, to Jonhson’s threats to break domestic and international law over the Northern Ireland protocol, the extent to which the constitution relies on convention and governmental integrity has been revealed. In turn, some politicians, scholars, and commentators have argued that a written constitution is a better guardian of fundamental rights and the separation of powers. On the other hand, critics of a written constitution point to the United States, which arguably faces rights retrenchment and an activist judiciary. Would a written British constitution be a stronger shield against tyranny, or would it merely empower unaccountable judges and stymie positive societal change? ABOUT THE OXFORD UNION SOCIETY: The Oxford Union is the world's most prestigious debating society, with an unparalleled reputation for bringing international guests and speakers to Oxford. Since 1823, the Union has been promoting debate and discussion not just in Oxford University, but across the globe.

Ruyzdael proudly presents Writers on Wax: The Sound of Graffiti Volume 2. A compilation album with 8 exclusive tracks featuring 8 (in)famous graffiti writers: BLADE, DELTA & SJAM SJAMSJOEDIN, CREDIT00, DUDES, COCA82, CEMOS, CHAZE and KAPI ONE. The album is available in a regular edition with obi strip and as a special limited edition album cover with red marbled vinyl. Writers on Wax: The Sound of Graffiti is a series of vinyls that bring to life the development surrounding the phenomenon graffiti, with graffiti writers producing music under their alter egos. The fact that graffiti writers also produce music is a development that is underexposed in the still growing (commercial) interest in graffiti and street art. Writers on Wax offers these creators a platform: a tangible product for their musical talent, expression and experimentation. We give the music a right to exist. Not to help the makers with their 'careers' but to prevent it from remaining stagnant and unheard, and to show a new perspective on the development of graffiti. The project and also the creators are young at heart. Spontaneous. Disinterested. Graffiti is freedom. Pre-order now available at ruyzdael.com. You snooze you lose. @montanacolorstv @MuseumofGraffiti #amsterdam #graffiti #ruyzdael #vinyl #music #design #yousnoozeyoulose #writersonwax #ruyzdael #stylewars Credits: Director: Julius Ponten Dop & grading: Jan Koks Focus puller: Steven van Hengstum Edit: Hussein al Khayat Creative director: UNDOG

OUT NOW, ON LOLIPOP RECORDS!!! Jules Duke - "Toast" (DIGI AINGLE) Jules Duke (formerly of Mystic Braves) foot stompin' debut disco-synth pop single!!! Produced in-house!!! Debut EP coming this spring 2023!!! www.lolipoprecords.com #julesduke #discorock #synthpop #altdisco #toast #lolipoprecords #savannahstudios #losangeles #newindiemusic

What is the signifcance of Robin Hood as an outlaw -- a person declared legally dead -- who lives in the greenwood, where life is constantly renewed? Why does Shakespeare heavily allude to Robin in his Henry IV plays? And most significantly, was there a real Robin Hood, or is he a pure creation of myth and folklore? We consider the possibilities and scrutinize the evidence. Suggested further reading: Maurice Keen, "The Outlaws of Medieval Legend"; J. C. Holt, "Robin Hood"; A. J. Pollard, "Imagining Robin Hood." Become a patron at any level in order to hear patron-only lectures as soon as they post (https://www.patreon.com/c/u5530632), or alternatively, non-patrons can buy the entire playlist of Myths of the Month, including “The Enlightenment,” “Race,” & “Capitalism,” among others: https://www.patreon.com/collection/2031535?view=condensed

Audio Technica released a limited edition of their Sound Burger record player in 2022. The AT-SB2022 has Bluetooth and recharges via USB-C. It returned as a non limited edition in 2023. Here's my review. The PETSCII Robots soundtrack vinyl record can be purchased here: https://www.the8bitguy.com/product-category/music/ The digital version is here https://eoxstudios.bandcamp.com/album/attack-of-the-petscii-robots-the-alternate-soundtrack The 7” record I played was supplied by Pawel - here’s his Bandcamp https://pavvvel.bandcamp.com/ CLARIFICATION Re SPEED ADJUSTMENT: One pot adjusts the 45rpm speed and the other one adjusts the 33 1/3 speed. ------------- Merchandise ----------------- New Techmoan Merchandise is now available. https://etsy.me/3zzjweo --------------- SUBSCRIBE ------------------ http://www.youtube.com/user/Techmoan?sub_confirmation=1 ------------- SUPPORT --------------- This channel can be supported through Patreon https://www.patreon.com/techmoan *******Patrons usually have early access to videos******* ---------- Outro Music ----------- Over Time - Vibe Tracks https://youtu.be/VSSswVZSgJw ------ Outro Sound Effect ------ ThatSFXGuy - https://youtu.be/5M3-ZV5-QDM ------ AFFILIATED LINKS/ADVERTISING NOTICE ------- All links are Affiliated where possible. When you click on links to various merchants posted here and make a purchase, this can result in me earning a commission. Affiliate programs and affiliations include, but are not limited to, the eBay Partner Network & Amazon. I am a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to AMAZON Sites (including, but not limited to Amazon US/UK/DE/ES/FR/NL/IT/CAN) Regularly asked question Q) Why are there comments from days ago when this video has just gone live today? A) Patrons https://www.patreon.com/techmoan usually have early access to videos. I'll show the first version of a video on Patreon and often the feedback I get results in a video going through further revisions to improve it. e.g. Fix audio issues, clarify points, add extra footage or cut extraneous things out. The video that goes live on youtube is the final version. If you want to see the videos early too, you can sign up to Patreon here: https://www.patreon.com/techmoan

Usually we use objects in the British Museum to tell you about people from the past. But in this episode of Curator's Corner, Imran Javed is going autobiographical. By pairing objects from the British Museum with his own personal items, Imran has built a display that speaks not just to historic India and Pakistan, but also to his own, present day identity as a British-Punjabi. Imran's display, 'A Confluence of Stories', is open until November 14. You can read more about the display here: https://www.britishmuseum.org/blog/confluence-stories 0:20 The Story of Sohni and Mahiwal and the Chenab River 2:57 Who was Baba Nau Ghaz Naugaja Peer ਨੌਂਗਜਾ ਪੀਰ 4:51 Shah Jahan and his sons visit Hazrat Mian Mir 6:00 Who was Maharajah Ranjit Singh? The Sher-e-Punjab, 'the Lion of the Pubjab' 9:40 The Partition of India 12:37 Tu kithey challaya? A poem by Imran Javid #CuratorsCorner #Punjabi

#Shorts

In this video, I begin my WSET Diploma D3 series on Sardinia, exploring the island’s geography, history and modern wine industry. I look at Sardinia’s position in the Mediterranean, its distinctive landscape and the long history of viticulture on the island, from the Nuragic civilisation and Phoenician influence through Roman, Pisan, Genoese and Spanish rule. I also explore how this history has shaped modern Sardinian wine, including the Spanish influence behind grapes and styles such as Cannonau, Carignano and Vernaccia di Oristano, before looking at the development of Sardinia’s modern wine industry and its focus on quality and regional identity. This is Part 1 of my six-part Sardinia series for WSET Level 4 Diploma D3: Wines of the World. Parts 1 and 2 are available here on YouTube, with the complete series available through my Wine With Jimmy e-learning portal. Study the complete WSET Diploma D3 Wines of the World course here: https://e-learningwine.winewithjimmy.com/program/d3-wines-of-the-world CHAPTERS 00:00 Introduction to Sardinia Wine | WSET Diploma D3 01:51 Sardinia Geography and Wine Regions 03:50 Sardinia Wine History and the Nuragic Civilisation 05:15 The Nuraghi of Sardinia 06:08 Roman Sardinia, the Giudicati and Gallura 07:19 Pisa, Genoa and Spanish Influence on Sardinian Wine 08:28 Cannonau, Carignano and Vernaccia di Oristano 09:15 The Modern Sardinian Wine Industry 10:21 Sardinia’s Key Grape Varieties and Wine Styles 11:20 Summary and What’s Next

SUBSCRIBE for more speakers ► http://is.gd/OxfordUnion Oxford Union on Facebook: https://www.facebook.com/theoxfordunion Oxford Union on Twitter: @OxfordUnion Website: http://www.oxford-union.org/ Imran Khan is a politician and former cricketer who served as the 22nd Prime Minister of Pakistan from 2018 to 2022. One of the all-time cricketing greats, he won the 1992 World Cup. He founded the Pakistan Tehreek-e-Insaf (PTI) party in 1996. As Prime Minister, Khan oversaw the country’s response to the SARS-CoV-2 pandemic. However, perceived failure to tackle corruption and declining performance in economic and social indexes led to a successful no-confidence motion. This address was delivered shortly before his 2022 protest march on Islamabad. ABOUT THE OXFORD UNION SOCIETY: The Oxford Union is the world's most prestigious debating society, with an unparalleled reputation for bringing international guests and speakers to Oxford. Since 1823, the Union has been promoting debate and discussion not just in Oxford University, but across the globe.

Sign up to Morning Brew for free today! https://morningbrewdaily.com/stewart What happened to McDonald's? Their restaurants used to be so iconic. It was impossible to mistake one, for say, a Wendy's. Distinguished architecture used to be an important part of a brand's identity. But today, fast food restaurant's all look the same. Bland grey boxes. The great convergence toward this standard has been called 'Chipotle-ification.' In this video, we trace the changing restaurant designs of McDonald's, from the iconic golden arch era to the soulless boxes of today. We break down the architecture and the forces at play in the great homogenization of fast food architecture. __Membership__ Join this channel to get access to perks: https://www.youtube.com/channel/UCYAm24PkejQR2xMgJgn7xwg/join __About the Channel__ Architecture with Stewart is a YouTube journey exploring architecture’s deep and enduring stories in all their bewildering glory. Weekly videos and occasional live events breakdown a wide range of topics related to the built environment in order to increase their general understanding and advocate their importance in shaping the world we inhabit. __About Me__ Stewart Hicks is an architectural design educator that leads studios and lecture courses as an Associate Professor in the School of Architecture at the University of Illinois at Chicago. He also serves as an Associate Dean in the College of Architecture, Design, and the Arts and is the co-founder of the practice Design With Company. His work has earned awards such as the Architecture Record Design Vanguard Award or the Young Architect’s Forum Award and has been featured in exhibitions such as the Chicago Architecture Biennial and Design Miami, as well as at the V&A Museum and Tate Modern in London. His writings can be found in the co-authored book Misguided Tactics for Propriety Calibration, published with the Graham Foundation, as well as essays in MONU magazine, the AIA Journal Manifest, Log, bracket, and the guest-edited issue of MAS Context on the topic of character architecture. __Contact__ FOLLOW me on instagram: @stewart_hicks & @designwithco Design With Company: https://designwith.co University of Illinois at Chicago School of Architecture: https://arch.uic.edu/ #architecture #urbandesign