Bells Spaceship Paradox (a follow-up to @kylehill and his nerdlings) Epic Math Time 2020-08-25 | Kyle Hill recently made a video on Bell's Spaceship Paradox, a special relativity based paradox involving two ships attached by a string. The commenters on his video brought up some nice counter-arguments to the conclusion made by Kyle, and I wanted to address them directly.Kyle's Original Video: youtube.com/watch?v=5iBtHroB978Big thanks to Kyle for the killer content that brings these interesting things to light. His channel is one of my personal favorites.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:Reflection, Fear Inoculum, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proPlease support Sakis for the amazing work he does!My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
The Missing Operation | Epic Math Time Epic Math Time 2021-06-21 | Why isn't exponentiation commutative? Or associative? Is exponentiation really the next operation after multiplication? Join me in this exploration of binary operations and ring theory.#mathematics #math #ringtheory #abstractalgebra #epicmathtimeSpecial thanks to my Patreon supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, Rainey Lyons, Holden Higgins, Jaeger, and Mark Araujo-Levinson.Please consider supporting me on Patreon: http://patreon.com/epicmathtime to help me produce more videos and get access to behind-the-scenes, early viewing of videos, and other benefits.For your commenting convenience:[Credit to r/math for compiling all of these in an organized format.]Basic Math Symbols≠ ± ∓ ÷ × ∙ – √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °Geometry Symbols∠ ∟ ° ≅ ~ ‖ ⟂ ⫛Algebra Symbols≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘∏ ∐ ∑ ⋀ ⋁ ⋂ ⋃ ⨀ ⨁ ⨂ 𝖕 𝖖 𝖗 ⊲ ⊳Set Theory Symbols∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟Logic Symbols¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ↔ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣Calculus and Analysis Symbols∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓGreek Letters𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔Outro: Tool - Lateralus, as performed by Sakis Strigas: youtube.com/user/tbird4proOther sources:youtube.com/watch?v=Z4WdaJlRDoUyoutube.com/watch?v=7aSuxS-XT3Myoutube.com/watch?v=iJLbAntU118
The TRUE Integral of |x|, the absolute value. | Shorts Epic Math Time 2021-04-09 | @bprpfast original: youtube.com/watch?v=WejykuW7oDASpecial thanks to my Patreons and Channel Members: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, Rainey Lyons, Holden Higgins, and Mark Araujo-Levinson.Music originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
A Sexy Proof of the Pythagorean Theorem | Shorts Epic Math Time 2021-03-23 | A quick and sleek proof of the Pythagorean Theorem.Special thanks to my Patreons and Channel Members: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, Rainey Lyons, Holden Higgins, and Mark Araujo-Levinson.Music: Eulogy originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
The Axiom of Choice | Epic Math Time Epic Math Time 2021-03-17 | The axiom of choice states that the cartesian product of nonempty sets is nonempty. This doesn't sound controversial, and it might not even sound interesting, but adopting the axiom of choice has far reaching consequences in mathematics, and applying it in proofs has a very distinctive quality.Special thanks to my Channel Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, and Rainey Lyons.Music: Reflection, Lateralus originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Square-wheeled bike | Math Meme Explained Epic Math Time 2021-03-05 | A case study on a math meme I found on the internet. Why does Drake prefer the square wheeled bike?Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSpecial thanks to my Channel Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, and Joseph Wofford.Click the blue "Join" button to see how you can support the channel.My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Proving that zero times anything is zero (mindblowing fact) | Shorts Epic Math Time 2021-02-24 | Here's a #shorts video proving a baby result in order to demonstrate a useful tip. If you want to prove any statement that involves both binary operations in a ring (or similar structures), you should immediately think "distributive property", because it's the only thing that links the two.Special thanks to my Channel Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, and Rainey Lyons.Click the blue "Join" button to see how you can support the channel.Invincible originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Are they irrational? Transcendental? | Epic Math Time Epic Math Time 2020-12-24 | Showing that a number is transcendental can be difficult. While π and e have a deep connection involving exponentiation, other combinations of them, like π + e, are not as well understood.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSpecial thanks to my Channel Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, and Joseph Wofford.Click the blue "Join" button to see how you can support the channel.Definitions:Algebraic number: A number that is a root of some polynomial with integer coefficients. Examples include 42 (a root of x - 42), √2 (a root of x² - 2), φ (The Golden Ratio, a root of x² - x - 1).All rational numbers r = p/q are algebraic, because they are always the root of the equation qx - p. Irrational numbers can also be algebraic, such as the example of √2 above.Transcendental number: A number that is not algebraic. Examples include π, e, cos(1), etc. The usual transcendental numbers that one encounters cannot be expressed in terms of finitely many operations on integers. Practically speaking, this is why they often get their own symbol and name, like π, as any other way to express them (such as an infinite sum of rational numbers) is cumbersome.Music:Reflection, Fear Inoculum, Lateralus originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
This metric definition is overbuilt... but does it matter? (exercise at the end) | Quick Math Epic Math Time 2020-12-05 | The commonly given metric definitions can have some ...fat trimmed, but should the fat be trimmed?Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:Lateralus originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proIsolated guitar tracks by Cameron Winters: youtube.com/channel/UCRUWWelWxgUf1BPHoEMCePgMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
(Proof) The power rule of derivatives (for natural exponents) | Quick Math Epic Math Time 2020-11-23 | Today we'll prove the power rule for derivatives, which will utilize the result of the last Quick Math video.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:The Pot, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proIsolated guitar tracks by Cameron Winters:youtube.com/channel/UCRUWWelWxgUf1BPHoEMCePgMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Is the binomial formula... obvious? | Quick Math Epic Math Time 2020-11-13 | Ok, maybe not "obvious", but it's nothing you should hesitate to apply.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:Reflection, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proPlease support Sakis for the amazing work he does!My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
When are logarithms transcendental? Epic Math Time 2020-11-07 | When is the logarithm (of natural-number base) of a natural number rational, irrational, transcendental, etc? I'll leave the proof of our findings up to you!Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:Fear Inoculum, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proPlease support Sakis for the amazing work he does!My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
An Interesting Shape in the Complex Plane (from i^i). Epic Math Time 2020-10-02 | I decided to plot a cyclical pattern on the complex plane, and it looked cool. So, well, here's a video. I bet there are some cool things to discover about this shape. I leave that to you!Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerMusic:Reflection, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proPlease support Sakis for the amazing work he does!My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Math doesnt need letters or variables Epic Math Time 2020-09-13 | Letters in math look weird. Math doesn't need variables or unspecified constants. We cannot make sense of any situation without specifying all involved objects, explicitly. Pronouns in general, not good stuff. Nasty little things.Featuring performances by @zachstar and @WrathofMath.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach AgerAcknowledgements:@CalebCity for the vibesHologram City by John N. Mayeryoutube.com/watch?v=ktEQfxqMEFE"Desperate Assault" by @PokeMixr92 youtube.com/watch?v=Ii7QVyYxfA4"Shenron's Theme" (Metal Version) by KhydroDjentyoutube.com/watch?v=mapP0ykdbzEMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Shaping a Universe (manifolds, and some conditions for embedding) Epic Math Time 2020-07-01 | A laid back and informal view of a couple of properties that a "world map" (topological manifold) could possess that require it to embed in a higher-dimensional ambient space.Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my Channel Members and supporters on Patreon:Patreon Supporters: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, JohannChannel Members: Zach Ager, Offer Nimrod mairantzMusic:Reflection, Eulogy, Fear Inoculum, Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4proFinal Hours Metal/Rock Remix Cover (Legend of Zelda: Majora's Mask) by TheOnlyDeerAliveyoutube.com/watch?v=5o4cfWsebH4Other Credits:Green Screen Deer: youtu.be/8lb3SqeILWEKlein Bottle Animation by Pochi999, under Creative Commons creativecommons.org/licenses/by-sa/4.0/deed.enMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Rigorously Deriving the Golden Ratio Epic Math Time 2020-04-01 | In this video we will find the value of the Golden Ratio rigorously. Everyone makes unfounded assumptions to derive its value, but here we will make no such unjustified assumptions. As far as I am aware, this is the first time this has been done.ft. Andrew Dotson youtube.com/channel/UCnFmWQbVW_YbqPQZGNuq8sAFollow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my supporters on Patreon:Dru Vitale, RYAN KUEMPER, AlkanKondo89, John PattersonMusic:Reflection & Lateralus are originally by Tool, as performed by Sakis Strigas: youtube.com/user/tbird4prop.s. April FoolsMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Proving Grants Little Theorem | A Surprising Geometric Result Epic Math Time 2020-01-29 | Download Dashlane for free on your first device by clicking here http://bit.ly/2FuimEs and automatically get a 30 day free trial of premium! No credit card required at signup! 3blue1brown tucked a really neat geometric result in one of his videos. Here's my full proof and walkthrough of "Grant's Little Theorem". Remember to post your solutions to the exercises in the comments!3blue1brown's original video: The Wallis product for pi, proved geometrically: youtu.be/8GPy_UMV-08Follow me on Instagram for previews, behind-the-scenes, and more content!: http://instagram.com/epicmathtimeSupport the channel on Patreon, I appreciate it a ton!:http://patreon.com/epicmathtime Special thanks to my supporters on Patreon:Dru Vitale, RYAN KUEMPER, AlkanKondo89, John PattersonMusic:Rosetta Stoned, Fear Inoculum, Invincible, Lateralus; Originally by Tool, performed by Sakis Strigas: youtube.com/user/tbird4proIsolated Guitar Tracks by Cameron Winters: youtube.com/channel/UCRUWWelWxgUf1BPHoEMCePgOutset Island - The Legend of Zelda: The Wind WakerArrangement: Kenta Nagata, Hajime Wakai, Asuka Hayazaki, Atsuko Asahiyoutube.com/watch?v=TD9nptU6p9wThis video is sponsored by Dashlane.#3blue1brown #mathematics #mathMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Eulers Formula through Picard–Lindelöf (Mathvengers) Epic Math Time 2019-12-24 | Something I covered on the channel already, but here's my clip from Mathvengers: Eulergame. We prove Euler's formula by using the uniqueness of solutions of differential equations.Watch the full video on Flammable Maths: youtube.com/watch?v=UdnDjJIkkmoSee videos early by following me on Instagram: http://instagram.com/epicmathtime(as well as previews, behind-the-scenes, and more content).Support the channel on Patreon:http://patreon.com/epicmathtime (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!)Special thanks to my supporters on Patreon:cb, Dru Vitale, RYAN KUEMPER, AlkanKondo89, John PattersonMusic by Sakis Strigas:youtube.com/user/tbird4pro(Eulogy originally by Tool)My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Epic Math Time 2020 Reveal Epic Math Time 2019-11-16 | For the last two months, I've been upgrading and overhauling my studio to accomodate some changes to the visuals of the channel. Here is a rough preview of some of the results.Instagram: http://instagram.com/epicmathtimePatreon:http://patreon.com/epicmathtimeBlue - A Perfect CircleMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Integral of the Absolute Value Function (not piecewise) | Math Doodles Epic Math Time 2019-10-27 | Here's how we can find the general antiderivative of f(x) = |x| without doing any kind of "piecewise" considerations.See videos early by following me on Instagram: http://instagram.com/epicmathtime(as well as previews, behind-the-scenes, and more content).Support the channel on Patreon:http://patreon.com/epicmathtime (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!)Special thanks to my supporters on Patreon:cb, Dru Vitale, RYAN KUEMPER, AlkanKondo89Music by Sakis Strigas:youtube.com/user/tbird4pro(Eulogy, Lateralus originally by Tool)My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
The Separation Axioms (A Topology Visual) Epic Math Time 2019-10-21 | A topology on a set gives a notion of "shape" or "vicinity" (loosely speaking) to the set. There are different classes of topological spaces based on how finely the topology can distinguish between two distinct points or sets in the space. Here we provide a visual of five levels of this distinguishability: Kolmogorov (T0), Frechet (T1), Hausdorff (T2), Regular Hausdorff (T3), and Normal Hausdorff (T4).See videos early by following me on Instagram: http://instagram.com/epicmathtime(as well as previews, behind-the-scenes, and more content).Support the channel on Patreon:http://patreon.com/epicmathtime (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!)Special thanks to my supporters on Patreon:cb, Dru Vitale, RYAN KUEMPERMusic by Sakis Strigas:youtube.com/user/tbird4proMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Andrew Dotson 100k subscribers ATTACK VIDEO Epic Math Time 2019-10-20 | Andrew just hit 100k subscribers. We all think that's pretty cool.Andrew Dotsonyoutube.com/channel/UCnFmWQbVW_YbqPQZGNuq8sABig thanks to all of the amazing people that made an appearance:Flammable Maths youtube.com/channel/UCtAIs1VCQrymlAnw3mGonhwTibeesyoutube.com/user/tibeesSimon Clark youtube.com/user/SimonOxfPhysBrain Gainzyoutube.com/channel/UCUuRg4RPXFfqcH87We6IJegblackpenredpenyoutube.com/user/blackpenredpenMath Man McGrealyoutube.com/channel/UCdleSTOp73jdZ7GQgyvBEhgHiggsino physicsyoutube.com/channel/UC02-e6K7o5_bPw0weXh3W3gParth Gyoutube.com/user/InfamousPillarKid
Comparing the Sizes of Sets in Different Ways (pt 2, (0,1), [0,1), and the real numbers) Epic Math Time 2019-10-10 | PART 1 youtu.be/0VD3BWDLmU0In the last video we developed the Lebesgue measure and compared the size of N and Z. Now we will compare two other pairs of sets, and I'll offer some closing remarks.See videos early by following me on Instagram: http://instagram.com/epicmathtime(as well as previews, behind-the-scenes, and more content).Support the channel on Patreon: http://patreon.com/epicmathtime (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!)blackpenredpen's videos on cardinality: youtube.com/watch?v=kf2Xwr22oGMyoutube.com/watch?v=6UtNFLkYpIgSpecial thanks to my supporters on Patreon:cb, Dru VitaleMusic by Sakis Strigasyoutube.com/user/tbird4pro(Undertow, Eulogy, Lateralus - Tool)My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Comparing the Sizes of Sets in Different Ways (An Introduction to Lebesgue Measure) Epic Math Time 2019-09-23 | Just like we can measure "how much" we have of an everyday object in different ways (mass, volume, length, etc) we can measure "how much set" we have in many different ways.See videos early by following me on Instagram: http://instagram.com/epicmathtime(as well as previews, behind-the-scenes, and more content).Support the channel on Patreon: http://patreon.com/epicmathtime (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!)blackpenredpen's video: youtube.com/watch?v=CuzEqMY9Ys0Music by Sakis Strigas:Undertow - Tool (youtube.com/watch?v=Ip1d31q88zQ)Fear Inoculum - Tool (youtube.com/watch?v=Otw5kKgnkPY)Lateralus - Tool (youtube.com/watch?v=GN1Tf7WqYiw)My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
10,000 page proof! The Classification of Finite Simple Groups Epic Math Time 2019-08-22 | Get two free months of Skillshare Premium if you sign up with our link: https://skl.sh/epicmathtime2The classification of finite simple groups is a very important result in abstract algebra and mathematics in general. This result classifies the "building blocks" of finite groups, the proof of which was an enormous collaborative effort by over 100 mathematicians spanning over decades, totaling over 10,000 pages of content. Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeNumberphile's video on the Monster Group:youtu.be/jsSeoGpiWswThe periodic table of finite simple groups: https://i.postimg.cc/Sjb2s6jK/gn5cimd92mh11.jpgOutro:Lateralus as performed by Sakis StrigasOriginally by Toolyoutu.be/GN1Tf7WqYiwThis video was sponsored by Skillshare.My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Why is 0/0 indeterminate, but 1/0 is not? Epic Math Time 2019-08-20 | Why do we say that some things are "indeterminate" instead of "undefined"?EXERCISE FOR THE VIEWER: Suppose we define a new number "x" such that 0x = 1. Show that this number violates the distribitive property.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Blue Wednesday, All That Jazzsoundcloud.com/bluewednesday"Fireside"Instrumental by Homageyoutube.com/user/homage253Outro:Lateralus, as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
🤨 A group theory problem utilizing centralizer and normalizer Epic Math Time 2019-08-11 | A little group theory problem! :-D Share your thoughts in the comments below!Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro:Lateralus, as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
The Internet Legend, 6÷2(1+2) (ft. Brain Gainz) ( 8/2(2+2), 4/2(9+3), etc) Epic Math Time 2019-08-01 | Sign up through https://skl.sh/epicmathtime to get two FREE months of Skillshare Premium.The expression 6÷2(1+2) (or 6/2(1+2)) is a poorly written expression that causes errors due to slight misunderstandings in the order of operations (that don't normally come up). In this video, I will explain the motivation behind the order of operations and address the common errors that lead to the incorrect answer. I met up with Anthony of Brain Gainz and we asked people in public to give their answer to the problem.Other variations include 4/2(9+3) and 8/2(2+2), these are identical in concept with different numbers.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeSubscribe to Brain Gainz: youtube.com/channel/UCUuRg4RPXFfqcH87We6IJeg?sub_confirmation=1This video was sponsored by Skillshare.Music:Bright Future - Silent Partneryoutube.com/watch?v=j-eUXXW95RgCereal Killa - Blue Wednesdayyoutube.com/watch?v=62HoNDT9VzEFireside Instrumental - Homageyoutube.com/user/homage253youtube.com/watch?v=V8d6wq6cmbIIntro: Rainbow in the Dark, as performed by Corey TaylorOriginally by DioOutro:Lateralus, as performed by Sakis StrigasOriginally by Toolyoutu.be/GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
This subset notation must be destroyed... [Math PSA] Epic Math Time 2019-07-24 | I would like to apologize for letting everyone down by giving in and joining in this degenerate practice. Never again will I abandon the traditional, biblical notation for subset and proper subset.SIGN THE PETITION BELOW AND SPREAD THE WORD.http://chng.it/nBcSymdTw6Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Invincible - World of Warcraft: Wrath of the Lich Kingyoutube.com/watch?v=BCr7y4SLhckLifeformed - Frozen Hot Sauceyoutube.com/watch?v=FxJXn1dOwGAFrantic Factory - Donkey Kong 64youtube.com/watch?v=02UUBgoiwZwOutro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
🐵 A Cute Topology Proof on Connectedness Epic Math Time 2019-07-01 | A quick video on a nice topology proof I wrote years ago. How would you prove this claim? Comment below!Music:"Rainbow in the Dark" as performed by Corey TaylorOriginally by Dio"Blue Wednesday" - All That JazzSong download: soundcloud.com/bluewednesday/all-that-jazz"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Meme Battle Part III, Epic Math Time vs Andrew Dotson and Flammable Maths Epic Math Time 2019-06-24 | The callout: youtu.be/8CCpBx12EHgPart I: Flammable Maths:youtu.be/rcAQUqqCxfgPart II: Andrew Dotson:youtu.be/-UFqy3jifcw(Subscribe to the bros)Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro by Sakis Strigas:youtu.be/GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
♣️ Combinations and Poker Probability (Understanding the Binomial Coefficient) Epic Math Time 2019-06-19 | Understanding the combinations formula, and using it to calculate the probabilities of various poker hands.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiw(ft. Scott Steiner)"Rainbow in the Dark" as performed by Corey TaylorOriginally by Ronnie James Dio (requiescat in pace)My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
The 0.999.. = 1 thing [Internet Math] Epic Math Time 2019-06-14 | Please enjoy this video about a symbol.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
How do mathematicians prove things? An introduction to basic proofs Epic Math Time 2019-06-03 | Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeOutro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Thank you for 5000 subscribers! QnA + Behind-the-scenes Epic Math Time 2019-05-22 | Thank you for 5000 subscribers! Here's a tour of the Epic Math Time studio, and the answers to your questions asked in the QnA. Check the comments for timestamps.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Princess Peach's Castle, Super Mario 64Composer: Koji KondoPlatform: Nintendo 64Funky's Armoury, Donkey Kong 64Composer: Grant KirkhopePlatform: Nintendo 64Inside a House, The Legend of Zelda: The Ocarina of TimeComposer: Koji KondoPlatform: Nintendo 64Music: Romani Ranch, The Legend of Zelda: Majora's MaskComposer: Koji KondoPlatform: Nintendo 64Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
A Group of Uninvertible Matrices Epic Math Time 2019-05-19 | In this video we'll show that a certain set of uninvertible matrices forms a group under matrix multiplication.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic: Deku PalaceComposer: Koji KondoPlatform: Nintendo 64Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Stumped by a Subscribers Question, Convergence of Series with Comparison Test? Epic Math Time 2019-05-17 | In my QnA post, I was asked a question by a subscriber Nelson Talukder that stumped me. It also demonstrates an important lesson - don't put /too/ much faith in Wolfram|Alpha.Big thanks to Math.SE posters Hans Lundmark and kccu for helping me with this problem.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic: Blue Wednesday - Cereal Killayoutube.com/watch?v=IxHOYsclfZAMusic: K. LumsyComposer: Grant KirkhopePlatform: Nintendo 64Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiw
The meaning of the square root (√) symbol Epic Math Time 2019-04-18 | I made this video because this misconception is so widespread. What were you taught about the square root symbol (√)? Let me know below.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:LAKEY INSPIRED - Better Dayssoundcloud.com/lakeyinspired/better-daysOutro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Math Meme Review Epic Math Time 2019-04-13 | Today I will be reviewing math memes.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Dreams - Joakim Karudyoutube.com/watch?v=rQO8escJC78Scrubs - Sad Songyoutube.com/watch?v=GXyuLN4TcRcOutro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Proving Eulers Identity with Differential Equations Epic Math Time 2019-04-09 | Here is a proof of Euler's Identity using a foundational result of differential equations.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic: House, The Legend of Zelda: Ocarina of TimeComposer: Koji KondoPlatform: Nintendo 64Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Diagonalizing a matrix with repeated eigenvalues Epic Math Time 2019-04-05 | Today we will be diagonalizing a 3x3 matrix with repeated eigenvalues. Leave a problem in the comments below for me to work next week!Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtime"Fireside"Instrumental by Homageyoutube.com/user/homage253Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
A derivative of a quotient? Work smart, not hard. Epic Math Time 2019-04-04 | Welcome to the first daily "Morning Math", where we start our day with a math problem.Here, we'll take a derivative of a function that seems like a "quotient rule" at first glance, but the function can be rewritten in a way that makes things simpler.Takeaway: Work smart, not hard! Always look for a way to simplify your tasks.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Acoustic Folk Instrumentalyoutu.be/YKdXVnaHfo8Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Gabriels Horn and the Painters Paradox Epic Math Time 2019-03-18 | Today we explore Gabriel's Horn, an interesting solid of revolution, and the Painter's Paradox.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:"Fireside"Instrumental by Homageyoutube.com/user/homage253Astral Observatory - The Legend of Zelda: Majora's MaskComposer(s): Koji Kondo, Toru Minegishi, Naoto KuboArranger(s): Mahito Yokota, Naoto KuboK. Lumsy - Donkey Kong 64Composer(s): Grant Kirkhope, David WiseArranger(s): Grant KirkhopeOutro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
What does isomorphic mean? What is an isomorphism? Epic Math Time 2019-03-11 | What's an isomorphism? It's not an alien warrior race! Isomorphisms are special functions that are used to describe when mathematical objects should be regarded as the same.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:"Clock Town (First Day)", The Legend of Zelda: Majora's MaskComposer(s): Koji Kondo, Toru Minegishi, Naoto KuboArranger(s): Mahito Yokota, Naoto Kubo"Fireside"Instrumental by Homageyoutube.com/user/homage253Outro:"Lateralus" as performed by Sakis StrigasOriginally by Toolyoutube.com/watch?v=GN1Tf7WqYiwFollow me on Instagram for behind-the-scenes and previews of upcoming videos.instagram.com/epicmathtimeMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
On the Sign of the Imaginary Unit (i) Epic Math Time 2019-03-05 | The imaginary unit (i) and the negative imaginary unit (-i) are the same creature in different costumes. Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtime5:40 - Algebraically IndistinguishableLet F be a field, and let K be a field extension of F. We say that x and y are algebraically indistinguishable in F if there is a field-automorphism f on K (think of this as a function that "jumbles around" the elements of K while preserving the field structure of K) such that f(x) = y, and for all z in F, f(z) = z.IE, this jumbling map brings x to y (the indistinguishables) while simultaneously not touching anything in F at all. i and -i are indistinguishable to R as follows: in the complex numbers, we have the field-automorphism of complex-conjugation (a+bi gets sent to a-bi). This automorphism sends -i to i, but does nothing to real numbers.Music: All That Jazz - Blue Wednesdayyoutube.com/watch?v=6WuRUT8yge4K. Lumsy - Donkey Kong 64Composer: Grant Kirkhope"Fireside"Instrumental by Homageyoutube.com/user/homage253Outro by Superstaar BeatsMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
If Math Subjects were People (ft. Nelly Furtado and Illidan Stormrage) Epic Math Time 2019-03-04 | Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeCredits: Shop Theme - The Legend of Zelda: The Ocarina of TimeComposer: Koji KondoOne-Winged Angel - Final Fantasy VII: Advent ChildrenComposer(s): Nobuo UematsuArranger(s): Nobuo UematsuI'm Like a Bird - Nelly FurtadoRejection of the Gift - World of Warcraft: LegionOutro by Superstaar BeatsMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
💪Demonstrating Integration with Weightlifting Epic Math Time 2019-02-22 | Inspired by a conversation with a former student of mine in the gym just hours before, here we'll show how calculus can be applied to weightlifting, and hopefully strengthen your intuition on what applying an integral "feels like."Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMusic:Outset Island - The Legend of Zelda: The Wind WakerComposer(s): Kenta Nagata, Hajime Wakai, Toru Minegishi, Koji KondoArranger(s): Kenta Nagata, Hajime Wakai, Toru Minegishi, Koji KondoOutro by Superstaar BeatsMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Is math invented or discovered? Epic Math Time 2019-01-11 | Is math invented or discovered? What do you think?Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtimeMy current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Empty Operations; performing operations on... nothing Epic Math Time 2019-01-08 | Let's explore the idea of the "empty sum", "empty product", and more!Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtime"Fireside"Instrumental by Homageyoutube.com/user/homage253My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
Mystery Brand SCAM - Why PewDiePie is right about the odds Epic Math Time 2019-01-05 | The odds of winning the high value prizes in this mystery box are lies, because math. Let's see what we can conclude if we take them at their word.Follow me on Instagram for more content, video previews, behind-the-scenes: http://instagram.com/epicmathtime1:36 "Gambler's Fallacy" en.m.wikipedia.org/wiki/Gambler%27s_fallacy5:40 "binomial coefficient" http://mathworld.wolfram.com/BinomialCoefficient.htmlThe views expressed in this video in no way reflect the views of any organization with which I am affiliated."Fireside"Instrumental by Homageyoutube.com/user/homage253My current equipment for making videos (affiliate links):Camera: amzn.to/2HSJXDRMicrophone(s): amzn.to/2SnpWY5Audio Interface: amzn.to/3fcjMoc
