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Update - thanks to everyone who has watched so far. The video has been updated to correct an issue spotted by epsalon on YouTube. As such the video link has been updated and if you wish to migrate your comments across please do! Also thanks to Fredrik Örvill and Quincy Nyan for spotting an error in the sheets - this hasn't been addressed in the re-release but it is addressed in the video description.

Hi everyone, director Rhys here!

We filmed this one a little while back but are only just getting around to putting it out. The editing process was long (thanks for bearing with us Gus!) as the integration took a good old while on paper and working out how to cut it down into a form that both made sense and wasn't just a lecture took a while to get right.

Matt thought that it would be a nice change of pace to do a video that was 'just maths'. It turned out 'just maths' was actually 'a lot of maths'. The full, uncut, whole-hog maths will be going on the second channel (Matt_Parker_2), the link will be in the description of the main video as soon as the second has uploaded (probably about an hour from publishing this).

Clara called in from CERN which was a fun bit to do as well, especially seeing her sat on the surface side.

We hope you enjoy it, please do let us know any mistakes you spot. We really appreciate your eyes on the pre-releases! Big thanks to everyone who spotted the pseudo-code error in the last video, we didn't have time to correct it on screen as we had a tight turn around, but it did go straight to the description!

Files

Is Kinetic Energy actually ½mv²?

Special thanks to Dr Clara Nellist for making the time to hop on a call with me and brave the outside conditions above the LHC. Clara can be found at: https://www.claranellist.com @particleclara on Instagram @ParticleClara on Youtube Huge thanks to my Patreon supporters. I could not ask for a better bunch of first-order corrections to my mathematical shenanigans! https://www.patreon.com/standupmaths You can find the full, un-cut maths over on my second channel @mattparker2 https://youtu.be/VyYKwJanACI So much integration, so little time. CORRECTIONS 10:03 the written workings are missing an m in the first expansion term but it is present and correct in the graphic a few seconds later Editing by Gus Melton Filming by Rhys Jones and Matt Parker Written and performed by Matt Parker Produced by Nicole Jacobus Content wrangling by Rhys Jones Music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/

Comments

Quincy Nyan

You forgot an 'm' in the second term of the final binomial expansion on paper, but it's fixed in the digital text on screen, so I think you've spotted that already!

Rick Rubenstein

Honestly, the final quote of the video, "I feel like today we learned nothing," would make a pretty good clickbait title.

Timur Sultanov

I mean binomial expansion is ok if first term dominates, but at high enough velocity it stops dominating...

Marco Ferrari

Hi Matt. Interesting and plot-twisty. A couple of notes. In the second working-out the slider on the bottom jumps a lot, given your previous video on the ads indicators it can be strange. Also having the view of the pages from the side isn't the best, a little more difficult to follow imho. Keep up the great work

Mark Heron

Even though Clara mentions them not using the expansion for calculations at CERN, it might be interesting to have an insert/note on calculating the first terms and how the values progress e.g. that the second term is ~3/4 of the size of the first.

Fredrik Örvill

@10:03 when you multiply all the terms by mc^2 you forgot "m" in the second term on your paper (it says 3/8 * v^4/c^2) @standupmaths

Maarten Daalder

Funny how the relativistic effects don't really apply to the PSP, but the comparatively pedestrian GPS satellites fail when we don't account for relativity.

Joseph Parker

Today we did learn something, today we learned that CERN doesn't care THAT much about binomials...