Zach Star

Get free access to over 2500 documentaries on CuriosityStream: http://go.thoughtleaders.io/1128520191214 (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video covers the applications of eigenvectors and eigenvalues (in and outside of mathematics) that I definitely didn't learn in school. Follow me on Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ The applications of matrices: https://youtu.be/rowWM-MijXU The PageRank Algorithm: https://youtu.be/qxEkY8OScYY Desmos (software used in video): https://www.desmos.com/calculator ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Desmos (software used in video): https://www.desmos.com/calculator This video covers a purely geometric way to understand both Fourier and Laplace transforms (without worrying about imaginary numbers). ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video mainly covers the underlying math behind the 'nyquist stability criterion' seen in control systems. Software Used in Video: https://www.desmos.com/calculator/ Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video covers complex numbers, euler's formula, fractals, and more of the mechanics of complex numbers. Desmos Graphing Calculator (Software used in this video): https://www.desmos.com/calculator Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Proof of Euler's Theorem: https://youtu.be/_h49ilnTmW4 Jullia Set Generator: http://www.malinc.se/m/JuliaSets.php Animations: Brainup Studios (https://brainupstudios.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Engineering Students be like: https://youtu.be/D5lkJvMGpVE Check out Andrew's Channel: https://www.youtube.com/channel/UCnFmWQbVW_YbqPQZGNuq8sA Support on patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video goes through a visual explanation of the Laplace Transform as well as applications and its relationship to the Fourier Transform. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►3D Graphing Software (this is not a sponsor nor an affiliate link, bought the software just because I liked it): https://www.runiter.com/ ►Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with Dashlane and get 10% off your subscription: https://www.dashlane.com/majorprep STEMerch Store: https://stemerch.com/ This video goes through an overview of what you would learn in a discrete time signals (or digital signal processing) course. Sampling, digital filters, the z-transform, and the applications of these are some of the things included. I had to over simplify a lot to barely keep this video under 30 minutes but hopefully it gives you an idea of how this type of math is used in the real world. Pole/Zero plot and digital filter modeler used in video: https://www.micromodeler.com/dsp/ Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with Dashlane and get 10% off your subscription: https://www.dashlane.com/majorprep STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video goes over just a few applications of matrices that may give you some insight into how they can be used in the real world. Linear algebra was never explained well to me in school and I had very little motivation to learn matrices at the time so hopefully this helps you if you're in a similar situation. Also note there are so many applications there's just no way to fit them into one video but here you'll find some of my favorite instances of when they come up. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Videos Mentioned Google PageRank Algorithm: https://youtu.be/qxEkY8OScYY Mathematics Used to Solve Crime: https://youtu.be/-cXBgHgX5UE Essence of Linear Algebra: https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ This video goes over the very basics of the PageRank algorithm and how a google search works. The video is oversimplified and doesn't cover everything of course but note this was the was first algorithm used by Google. Now they use much more (that is kept secret for the most part) but this should still give you an idea of how websites are ranked. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Animations : Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT The video explains the proof of 'The Art Gallery Problem'. There are different versions of this problem (such as where guards can be placed) but we will focus on the most well known one where guards are forced to be in corners (and can see in all directions at once). Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT More to check out ►Euler's Gem: https://amzn.to/319uBzw ►5 Color Theorem Proof (Up and Atom channel): https://www.youtube.com/watch?v=42-ws3bkrKM ►Mathematics of our universe video (general relativity): https://www.youtube.com/watch?v=KT5Sk-62-pg ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Versión en español de este video: https://www.youtube.com/watch?v=rTJZzm1EwTs Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Mathematics for Computer Science (MIT Course) ►Lectures: https://www.youtube.com/watch?v=L3LMbpZIKhQ&list=PLB7540DEDD482705B ►Course Page (assignments and textbook found here): https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2010/ Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Protect your personal information with NordVPN: https://nordvpn.com/majorprep (use promo code 'majorprep' for 75% off a 3 year plan) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video only covers a few things that we cannot yet explain including the WOW signal, FRB's, turbulence, P Vs NP, and some unsolved ciphers. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Further explanations/details about some of the mentioned stories Minute Physics Video: https://www.youtube.com/watch?v=oZAc5t2lkvo Somerton Man (detailed explanation): https://somerandomstuff1.wordpress.com/2018/11/09/the-ultimate-guide-to-the-somerton-man-mystery/ Unsolved Ciphers: http://scienceblogs.de/klausis-krypto-kolumne/the-top-50-unsolved-encrypted-messages/ The WOW Signal (in more detail): https://www.youtube.com/watch?v=Qtb5TRa09yw P Vs NP (in more detail): https://www.youtube.com/watch?v=YX40hbAHx3s ►Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Get free access to over 2500 documentaries on CuriosityStream: https://curiositystream.com/majorprep (use promo code "majorprep" at sign up) STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Previous video about 4 dimensional spacetime : https://youtu.be/KT5Sk-62-pg ►Books you might enjoy Hyperspace: https://amzn.to/2GFahxL The Elegant Universe: https://amzn.to/30ZNvs6 Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Animations: Brainup Studios (email: brainup.in@gmail.com) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Follow up video: https://youtu.be/mmtLgYVEuJs Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Metric Tensor Explanation for Beginners: https://www.youtube.com/watch?v=C76lWSOTqnc ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with the investing app Webull and get one free stock (valued between $8 and $1000) by making an initial deposit of $100 or more within the first 30 days: https://act.webull.com/kol-us/share.html?hl=en&inviteCode=e5dDPm3hwqq4 STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Sources MIT Lecture (who has more sexual partners?): https://www.youtube.com/watch?v=h9wxtqoa1jY&list=PLB7540DEDD482705B&index=6 MIT Study (Optimal Predictions in Everyday Cognition): http://web.mit.edu/cocosci/Papers/Griffiths-Tenenbaum-PsychSci06.pdf Stephen Gould: https://people.umass.edu/biep540w/pdf/Stephen%20Jay%20Gould.pdf Trends in violence discussed on the news: http://www.penelopeironstone.com/GlassnerFearMongering.pdf Death Penalty Study (Confirmation Bias): http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.372.1743&rep=rep1&type=pdf ►Other videos you may enjoy How easy it is to lie with statistics: https://youtu.be/bVG2OQp6jEQ The Friendship Paradox: https://youtu.be/GEjhO65FYks When numbers don't tell the full story: https://youtu.be/FUknTs9AzYA ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Enroll in Coursera's "Model Thinking" course: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fmodel-thinking%3Fedocomorp%3Dmajorprepmodelthinking20%26utm_term%3Dmajorprep_promo_model-thinking STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video covers what the friendship paradox is, why it occurs, and what its applications are. Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Friendship Paradox (Technical Explanation): https://www.quora.com/The-%E2%80%9Cfriendship-paradox%E2%80%9D-states-that-most-people-have-fewer-friends-than-their-friends-on-average-have-Is-the-friendship-paradox-fallacious Friendship Paradox (less technical): https://paradoxicon.quora.com/Friendship-paradox Animations: Brainup Studios (email: mail@brainup.in) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This is a follow up to the last video (https://youtu.be/dr2sIoD7eeU) regarding higher dimensional shapes. Here we answer why there can only be 5 shapes in 3 dimensions that meet certain criteria (as listed in the video). Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ 3blue1brown Video: https://www.youtube.com/watch?v=-9OUyo8NFZg ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Create the perfect resume for free at Novoresume: http://www.novoresume.com/majorprep Want a Klein bottle?: https://stemerch.com/collections/maths-toys/products/klein-bottle-1 STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This video covers a range of what shapes and properties you'd encounter in higher dimensions. Why there are only 5 platonic solids proof: https://youtu.be/04eVLnPrpEY Numberphile Video on Klein Bottles: https://www.youtube.com/watch?v=AAsICMPwGPY Sphere Packing: https://www.quantamagazine.org/sphere-packing-solved-in-higher-dimensions-20160330/ Animations: Brainup Studios (email: mail@brainup.in) Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Can You Outsmart an Economist?: https://amzn.to/2EPQAlQ Airport Puzzle: https://www.theguardian.com/science/2016/jul/18/did-you-solve-it-wheres-the-best-place-to-tie-your-shoe-in-an-airport Fraction of Girls Explanation: https://mathoverflow.net/questions/17960/google-question-in-a-country-in-which-people-only-want-boys/17963#17963 Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT This is a follow up to my video on Euler's number (https://youtu.be/AAir4vcxRPU). Here you'll see why all unit spheres in even dimensions have volumes that sum to e^π Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Proof of Volume Formula: https://www.youtube.com/watch?v=eEJtMFdkzzU ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Enroll in Coursera's Data Science Specialization: https://click.linksynergy.com/deeplink?id=Iv2wxKBzA7E&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Fspecializations%2Fjhu-data-science%3Fedocomorp%3Dmajorprepdatascience%26utm_term%3Dmajorprep_promo_jhu-data-science STEMerch Store: https://stemerch.com/ Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►Support the Channel Patreon: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ Animations: Brainup Studios (email: mail@brainup.in) Timestamps/Extra Resources 2:42 - Derangements (https://en.wikipedia.org/wiki/Derangement) 3:11 - Optimal Stopping (https://en.wikipedia.org/wiki/Optimal_stopping) 5:25 - Infinite Tetration (https://en.wikipedia.org/wiki/Tetration) 6:25 - 1958 Putnam exam question (https://mks.mff.cuni.cz/kalva/putnam/putn58.html) 9:33 - Fourier Transform (GIF credit to 3blue1brown, check out his video on the FT here: https://www.youtube.com/watch?v=spUNpyF58BY) 10:56 - Gamma Function (https://en.wikipedia.org/wiki/Gamma_function) 12:53 - Casimir Effect Paper (https://arxiv.org/pdf/hep-th/9901011.pdf) 13:20 - Higher Dimensional Spheres (https://en.wikipedia.org/wiki/Volume_of_an_n-ball) ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar

Create your own website for free at Wix: https://www.wix.com/go/majorprep STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Full Game Theory Course on Coursera: https://click.linksynergy.com/deeplink?id=vFuLtrCrRW4&mid=40328&murl=https%3A%2F%2Fwww.coursera.org%2Flearn%2Fgame-theory-1 Instagram: https://www.instagram.com/zachstar/ Twitter: https://twitter.com/ImZachStar Join Facebook Group: https://www.facebook.com/groups/majorprep/ ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Magnetic Floating Globe: https://amzn.to/2VgPdn0 Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/zachstar