Ep 0: "Allll the Numbers??" The Case of the Missing Numbers & Much Ado About Vectors скачать в хорошем качестве

Ep 0: "Allll the Numbers??" The Case of the Missing Numbers & Much Ado About Vectors

If the surreal numbers are so {great, great^great, great^great^great, … | } then why don't they actually capture allll of the numbers? …and much ado about vectors, to be resolved only in coming episodes. Next episode teaser: "This was all just 2-Complex, you promised Quaternions and Octonions, and oh my!" Patience attains Episode -1 (   • Ep -1: The Axiom of Choice  ), and lo, a blooming rose by Episode i. Acknowledgements: Deepest gratitude again to my amazing family, and their grace, who help me through all of my trials and tribulations. Surreal Physics has been a balm for me in these challenging times. Thanks also to friends and strangers alike for spending a few precious moments of downtime watching. And thanks again to ‪@TheoriesofEverything‬ for spurring this channel. Thank you, Blender and Manim communities (including of course ‪@3blue1brown‬) for being open, free, flexible, and ever-so helpful. Additional information: See description of Episode Null for more links and resources on Conway's Surreal Numbers (    • Ep Null: In the beginning...Ø (#PaCE1)   ), as well as read-aheads for next time and sundry related items. As mentioned ‪@upandatom‬ has a fantastic video on Russell and Whitehead's Principia Mathematica:    • The 379 page proof that 1+1=2   Also as mentioned ‪@veritasium‬ has outstandingly told the history of Imaginary i:    • How Imaginary Numbers Were Invented   And ‪@WelchLabs‬ has also created a truly excellent account of i that goes into depth we’ve had No time for here:    • Imaginary Numbers Are Real [Part 1: Introd...   For a quick read (for those not quite ready to dig into the scientific literature) check out this lighter article by Charlie Wood (I'm sure there are even more recent ones that are also good, as the evidence keeps mounting): https://www.quantamagazine.org/imagin... ...such as this one by Alessio Avella: https://physics.aps.org/articles/v15/7 (but check out the literature references too if you have the time!) Throughout this video you see a couple of formulations of the Standard Model Lagrangian when I refer to the latest standard formulation of the laws of physics. ‪@pbsspacetime‬ has a wonderful explanation of what this is, and actually many other videos that go more in depth on the elements:    • The Equation That Explains (Nearly) Everyt...   (which also better explains the coffee mug reference!) If you haven't heard much about Navier-Stokes, ‪@numberphile‬ has a great mini-series on the equations:    • Navier-Stokes Equations - Numberphile   Backwards in time?? Check out this popular-style article by Alfredo Carpineti and technical references therein (and several more from recent years can be found in literature searches): https://www.iflscience.com/experiment... Yes, you correctly noted references to The Lord of the Rings, Star Wars, Back to the Future, Star Trek, 2001: A Space Odyssey, Hitchhiker's, and it will not end there. I can't help myself. Thanks for putting up with it. Humans aren't the only ones who have invented and reinvented the concept of one-third, over and over again. Check out the all too rare trillium, who, like us, seeks impossible beauty in the shade of trees: https://en.m.wikipedia.org/wiki/Trillium Some wheels are just too perfectly simple yet unattainable to not keep reinventing. Stay tuned for more on Clifford's, Noether's, and a whole swirl of others' brilliant works as we try to put this all together in a ‪@surrealphysics‬. BTW, of course I still love you, vectors and tensors. Original soundtrack by Surreal Physics.