How to Solve Linear Equations – Step by Step for Beginners

From Math Queen. In this math video I (Susanne) explain how to solve linear equations for beginners. I explain everything slowly and clearly using two simple examples, so you can follow along even if you’re just starting out with algebra. Perfect for students, beginners, and anyone who wants a clear introduction to solving linear equations,…

Digital Signal Processing With Audio Data – Computerphile

From Computerphile. Demonstrating that you can filter data to smooth out the numbers, but whether it’s weather data, stock market information or Taylor Swift, the math is the same! David Domminney Fowler takes us through it. Find out more from Dave at https://www.youtube.com/c/DavidDomminneyFowler Computerphile is supported by Jane Street. Learn more about them (and exciting…

How Many Liters Fit in Each Bucket? – Math Puzzle

From Math Queen. In this math video I (Susanne) explain how to crack this classic water bucket math puzzle? I show step by step how to solve a logic problem with two buckets by solving a system of equations. Perfect if you enjoy math puzzles, brain teasers, and logical thinking problems. Great for students, teachers,…

The 15-Game – Numberphile

From Numberphile. Ben Sparks explores hidden depths of a seemingly simple game. More on Jane Street’s AMP program at https://jane-st.co/Numberphile-AMP-2026 (sponsor) — More links & stuff in full description below ↓↓↓ An extra snippet on Numberphile2: https://youtu.be/lz2POMYd4YM And a 4.5-minute longer version of this video can be watched by Patrons: https://www.patreon.com/posts/150089653 Ben Sparks own website…

Network Basics – Transport Layer and User Datagram Protocol Explained – Computerphile

From Computerphile. Breaking the network layer model into pieces, starting top-down, Richard G Clegg of Queen Mary University London explains the ‘bargain bucket’ of networking! Computerphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://jane-st.co/computerphile This video was filmed and edited by Sean Riley. Computerphile is a sister project…

Can You Pass the German Police Math Test?

From Math Queen. In this math video I (Susanne) explain how to solve three real math questions from the police entrance test step by step. Test your skills and see if you would pass the police math test! Mathematics explained. 00:00 Intro – Police Entrance Test 0:10 Question 1 1:58 Question 2 4:11 Question 3…

Tools of the Trade (for infinite sums) – Numberphile

From Numberphile. Ed Copeland goes deep as we explore how we cracked an infinite sum relating to black holes. The extra bit as at https://youtu.be/s8Jd8Z7A5tA — More links & stuff in full description below ↓↓↓ Ed Copeland is a physics professor at The University of Nottingham More Ed on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWJwf-59lYWThTpSj2Ivt5jB Ed on our…

Implementing Passkeys in Practice – Computerphile

From Computerphile. Build your own passkey system like Mike! — Check out Brilliant for free at https://brilliant.org/computerphile/ (30-day free trial and 20% discount on premium subscription… episode sponsor) — More links in full description below ↓↓↓ Computerphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://jane-st.co/computerphile This video was…

A Fake Fields Medal – Numberphile

From Numberphile. Fields Medallist Hugo Duminil-Copin would like a replica of his prize for outreach purposes. We interview him about the famous medal and his mathematical work. More links & stuff in full description below ↓↓↓ Podcast version of the interview: https://youtu.be/jWiKKq_Q5n8 Hugo is based at the University of Geneva and IHES – https://www.ihes.fr/~duminil/ More…

Euclid’s Algorithm – Numberphile

From Numberphile. Sophie Maclean demonstrates some fun properties of Euclid’s Algorithm. Episode sponsor Brilliant has 30-day free trial and 20% discount – more at https://brilliant.org/numberphile More links & stuff in full description below ↓↓↓ Sophie Playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Ayliean playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIVNbbisfbcJKpb44__r2Rw Patreon: http://www.patreon.com/numberphile Numberphile is supported by…

the most unhinged (recent!) computer science discoveries

From LaurieWired. An undergrad accidentally beat a Turing Award winner. A dog outperformed IBM’s quantum computer. And Valve’s video game code is now running Meta’s datacenters. These are the wildest CS papers from 2025. In this video, we cover five of my favorite Computer Science papers that flew under the radar. Everything from theoretical mathmatical…

LLMs and Newcomb’s Problem – Computerphile

From Computerphile. Newcomb’s Problem is a thought experiment which, on the surface, seems obvious, but what if you’re trying it out on your identical twin? Which choice is best? Aric Floyd demonstrates it, then tries it on Anthropic’s Claude, which doesn’t always play ball! Computerphile is supported by Jane Street. Learn more about them (and…

Base Fibonacci – Numberphile

From Numberphile. Tony Padilla does a ‘magic trick’ with Fibonacci numbers and talks about Zeckendorf decompositions. More links & stuff in full description below ↓↓↓ More Tony on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU More Tony of Sixty Symbols (our physics channel) – https://www.youtube.com/playlist?list=PLcUY9vudNKBPJmX64Jay51cdZTKMz4ACs Tony is a physics professor at the University of Nottingham. His book Fantastic Numbers…

The Return of Festive Flashing Lights – Computerphile

From Computerphile. Steve gets all festive and tries to improve on the festive lights he built a mere 11 years ago… Dr Steve Bagley is based at the University of Nottingham. Computerphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://jane-st.co/computerphile This video was filmed and edited by Sean…

Almost Interesting Facts about 6-7 – Numberphile

From Numberphile. Part 2 of Tony Padilla’s deep dive into 6-7. The full set of videos are here… https://www.youtube.com/playlist?list=PLt5AfwLFPxWK9aLnVoe-HcCJ62WkHCAAe More links & stuff in full description below ↓↓↓ Heegner Numbers – https://youtu.be/mw4DM1952KI Tony Padilla’s book Fantastic Numbers and Where to Find Them – https://amzn.to/3VywNyy More from Tony on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWL8KAJKO3WfHhJcWrJfjgfU Plus Tony on Sixty…

How Passkeys Work – Computerphile

From Computerphile. Passkey pop up everywhere, Mike Pound explains what they are! Check out Brilliant’s courses and start for free at https://brilliant.org/computerphile/ (episode sponsor) — More links in full description below ↓↓↓ Dr Mike Pound is based at the University of Nottingham. This video was previously titled "What is a Passkey?" Computerphile is supported by…

Super Facts about 6-7 – Numberphile

From Numberphile. Tony Padilla takes a mathematical look at the pair of numbers 6-7 and why they are a perfect prime pair – plus SUPER PRIMES. The other videos from this interview are at https://www.youtube.com/playlist?list=PLt5AfwLFPxWK9aLnVoe-HcCJ62WkHCAAe More links & stuff in full description below ↓↓↓ Our prime number playlist – https://www.youtube.com/playlist?list=PL0D0BD149128BB06F Our perfect number playlist –…

Gen AI & Reinforcement Learning- Computerphile

From Computerphile. The real-world doesn’t graph well. Sydney Von Arx discusses GenAI & RL — See Jane Street’s training programs in New York, London or Hong Kong at https://jane-st.co/hkginternship26-computerphile (channel sponsor) — More links in full description below ↓↓↓ Sydney Von Arx of METR talks about an approach to solve Reinforcement Learning & gradient descent…

An Unexpected Twist on Möbius Strips – Numberphile

From Numberphile. Ben Sparks uses simulations for a new insight into Möbius loops. More links & stuff in full description below ↓↓↓ Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Möbius videos on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWLX3Y7d3Hqq-qcsDTRaZef6 Ben’s Geogebra file for this video – https://www.geogebra.org/m/v5z33vth Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more…

Why do all random graphs end up identical?

From Standup Mathematician. Jane Street’s Hong Kong internship is accepting applications now: https://jane-st.co/hkginternship26-SUM Oh look. Still time to sign up for a digital xmas card: https://www.patreon.com/standupmaths (cut off for 2025 is 31 Dec 2025) As well as calculating Pi on the Moon, I’ll be back on tour again in the new year: https://standupmaths.com/shows Follow Matt_2…

Procedural Generation in Games – Computerphile

From Computerphile. Procedural generation is the idea of using simple rules to generate more complicated items – used in games such as Minecraft and Elite, Zac Garby of the University of Nottingham explains with the use of the game Carcassonne. Zac would like to thank user mlin92 for the graphics used in his generation code.…

100000001 is divisible by 17 – Numberphile

From Numberphile. Featuring Matt Parker. Learn for free on Brilliant (and get 20% off a premium subscription) at https://brilliant.org/numberphile (episode sponsor). Extended footnote and other links in full description below ↓↓↓ Extra clips and outtakes from this video on our Patreon – https://www.patreon.com/posts/145064106 Matt Parker books – https://mathsgear.co.uk/collections/books And Matt’s books on Amazon – https://amzn.to/4rK4j3C…

Closer Look at the Birthday Paradox – Numberphile

From Numberphile. Featuring Tom Crawford (happy birthday!) – More links & stuff in full description below ↓↓↓ Extra footage from this video and interview – https://youtu.be/4rdLQso6_8U See our original video from 2012 – https://www.youtube.com/watch?v=a2ey9a70yY0 Tom Crawford playlist on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ2TNTA79reKQ6S88kTvDR- Tom Crawford website – https://tomrocksmaths.com/ Tom’s YouTube channel – https://www.youtube.com/tomrocksmaths Patreon: http://www.patreon.com/numberphile Numberphile is…

New shape discovered!

From Standup Mathematician. Print out your Nopert with the Bambu Lab X1C Combo https://www.awin1.com/cread.php?awinmid=46345&awinaffid=2412541 #bambulab #bambulabA1 #makerworld #bambustudio #bambulabp1s #bambulabX1c #bambulabs Check out Tom 7’s video which this video goes through: https://www.youtube.com/watch?v=QH4MviUE0_s Tom7’s full set of printable 3D models for all Platonic, Archimedean and Catalan solids: https://makerworld.com/en/models/1617011-platonic-archimedean-and-catalan-solids#profileId-1706419 Here’s the paper announcing the Noperthedron: https://arxiv.org/pdf/2508.18475 My…

Why Fighter Jets Ban 90% of C++ Features

From LaurieWired. A single unhandled exception destroyed a $500 million rocket in seconds. The F-35 wasn’t going to make the same mistake. By carefully slicing C++, engineers created one of the strictest coding standards ever written. This…is Programming Like a Fighter Pilot. In this video, we dive into the history of software in aircraft, the…

Polyominoes on Chessboards – Numberphile

From Numberphile. Sophie is back with more Polyominoes. Check our Jane Street internships in Hong Kong and elsewhere – https://jane-st.co/hkginternship26-numberphile More links & stuff in full description below ↓↓↓ Previous Polyominoes with Sophie Pentominoes: https://youtu.be/ONdgXYEBihA Snakey: https://youtu.be/ouTE-GYGIA8 Sophie Playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJL8jqE19RlDCMJp7psCA6r Sophie Maclean is based at Kings College, London: https://sophiethemathmo.wordpress.com Patreon: http://www.patreon.com/numberphile Numberphile is supported by…

This random noise won an Oscar.

From Standup Mathematician. Check out Seb’s excellent deep-dive video over here: https://www.youtube.com/watch?v=FgTo5WRluy0 See my show in London on 1 December 2025: https://lwtheatres.co.uk/whats-on/matt-parker/ Other show details for the 2026 tour here: https://standupmaths.com/shows/ Yes, sign up to Patreon by the end of November 2025 to get your unique, random christmas card from me: http://patreon.com/standupmaths Or have been…

How many holes does this mug have?

From Standup Mathematician. Get your own Mug with a Hole: https://mathsgear.co.uk/products/extreme-utilities-puzzle-mug Thanks to Past James Grime for making the original video with Past Matt. https://www.youtube.com/singingbanana Here is the plan for the seven-colour mug design. It’s an image from my book Things to Make and Do in the Fourth Dimention. https://www.dropbox.com/scl/fi/ek7z0dt9qook7b46s3u6u/seven-colour-mug.jpg?rlkey=9bpbw3f0vuu3p3js7y8fqa720&dl=0 Huge thanks to Eugénie von…

Your Programming Language Can’t Understand You…

From LaurieWired. Compilers and Humans have the same problem. We’re all terrible at understanding each other. Many programming bugs are fundamentally linguistic confusion. Syntactic irregularities affect human languages just like computer languages! Join me for some formal language theory, a lot of C++, and some "recreational" insults. — Timestamps: 00:00 Language Ambiguity 03:37 Compiler Theory…

The Original Sin of Computing…that no one can fix

From LaurieWired. What if we can’t trust *ANY* software…even if you have the source code? A perfect, self-replicating "sin" passed down for generations of compilers. Invisibly compromised in every program. It sounds like a spy novel; only it actually happened. Ken Thompson, creator of UNIX, theorized how Code Auditing won’t save you. This is how…

Are these the luckiest dice rolls in TV history?

From Standup Mathematician. Get an exclusive 15% discount on Saily data plans! Use code standupmaths at checkout. Download Saily app or go to https://saily.com/standupmaths Listen to Matt talk more about The Snake with Bec on the A Problem Squared podcast! https://open.spotify.com/episode/6qW3yw3zrMuh0bLIzO2vEE?si=JshLx8nCQOCdCHkJkUB1vg If you are in the USA you can watch The Snake episode 10 on…

A century-old knot conjecture was wrong all along

From Standup Mathematician. Come see me on tour! https://standupmaths.com/shows/ Check out the paper: https://arxiv.org/pdf/2506.24088 Thanks so much to Mark Brittenham and Susan Hermiller at University of Nebraska at Lincoln for talking me through it. Huge thanks to my Patreon supporters. I can knot overstate my appreciation for them. https://www.patreon.com/standupmaths CORRECTIONS – None yet, let me…

what if humans forgot how to make CPUs?

From LaurieWired. What happens if we can’t make another CPU…ever? What fails first? How long would datacenters last? Does the Internet start to fracture? Of course, it’s a hypothetical thought experiment. But it’s interesting to think what chips will stand the test of time, and which might fail sooner than you think! — Here are…

We have statistical evidence that people are mildly psychic

From Standup Mathematician. Learn more about the Jane Street internships at https://jane-st.co/internship25-SUM Ben’s Zener Test: https://zenertest.bensparks.co.uk/ Huge thanks to Ben Sparks (and their brother Tim) for making the site, collecting the data and sharing the story with me. You can book Ben to give a maths talk in your school, university or magic society: https://www.bensparks.co.uk/…

This C code should be ILLEGAL. It’s also fantastic.

From LaurieWired. This C code is disgusting. But also really, really clever. The International Obfuscated C Code Contest (IOCCC) has been consistently breaking human minds since 1984. This year’s winners are out of control. But hey, I’m a Professional Reverse Engineer. Time to find out: – Can government-grade tools defeat unreadable code? – Hiding Salmon…

Maths has finally discovered a self-righting tetrahedron!

From Standup Mathematician. Check out the amazing Bambu Lab printers: https://www.awin1.com/cread.php?awinmid=46345&awinaffid=2412541 Print some maths! https://makerworld.com/en/search/models?keyword=math Here are the STL files (and project files you can open in Bambu Studio) for the tetrahedrons in this video: https://www.dropbox.com/scl/fo/jwva4zx6r4327lyg9zgy5/AKFZ5nUzo7QmD_mMhaD01uI?rlkey=9f41h2xsb7ybanjh1jibit8mz&dl=0 This is the Quanta Magazine article which broke the Monostable Tetrahedron news in June 2025. A New Pyramid-Like Shape…

Why 2025 is numerically the best year.

From Standup Mathematician. See if you have the skills to dissect this neural net: https://jane-st.co/SUM-MLpuzzle More on Jane Street machine learning careers here: https://janestreet.com/ml This is a complex video, so I’ll try to thank and link everyone in order! Original Numberphile video from 2015 by Brady Haran: https://www.youtube.com/watch?v=99stb2mzspI&ab_channel=Numberphile More on the Partridge Puzzle by Robert…