Dr. Ajay Kumar PHD (he/him)

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI23.html Final GeoGebra: https://www.geogebra.org/m/t2x2vy3b GeoGebra prior branch point: https://www.geogebra.org/m/zbaxh7nq Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

I used a naive row/column indexing system in the last video for the board. Decided at the end, to avoid confusing myself, I should switch to the standard rank/file chess indexing system. So that's what's going on in this video. GitLab: https://gitlab.com/DoctorAjayKumar/cherl/ Install Erlang and ZX: https://www.bitchute.com/video/XLc8xBWZ0Ckf/ Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Talking about my personal story, and what my long-term goals are with everything I'm doing Videos about Entropist ideas Mutual Capacity for violence is the root of negotiation: https://rumble.com/vei3dh-geopol-the-mutual-capacity-for-violence-is-the-root-of-negotiation.html Vision and need for QAnal: https://www.bitchute.com/video/85nip88hHG2M/ Math After Dark Ep 6 (Anatomy of the coming collapse): https://rumble.com/vlk5da-anatomy-of-the-coming-collapse-the-craig-cannon-power-hour-with-craig-canno.html Revelations mentioned Revelations 14 (WFC): https://gitlab.com/DoctorAjayKumar/rev00014_wfc/-/blob/master/frame.pdf Revelations 21 (SIQA): https://gitlab.com/DoctorAjayKumar/rev00021_siqa/-/blob/master/frame.pdf Revelations 22 (Entropism): https://gitlab.com/DoctorAjayKumar/rev00022_entropism/-/blob/master/frame.pdf Videos about how CIA math is fake news Shocking Truth About Set Theory Pt 1: https://rumble.com/vfxagv-craig-cannon-the-shocking-truth-about-set-theory-pt-1-siqa-ep0001-cl021.html Shocking Truth About Set Theory Pt 2: https://rumble.com/vfximh-craig-cannon-the-shocking-truth-about-set-theory-pt-2-siqa-ep0001-clip022.html Shocking Truth About Set Theory Pt 3: https://rumble.com/vfxk6l-craig-cannon-the-shocking-truth-about-set-theory-pt-3-siqa-ep0001-clip024.html

For an introduction to WFC, watch videos 4-9 on my playlist, exclusively on Rumble: WFC 4: https://rumble.com/vldvxd-all-about-w... WFC 5: https://rumble.com/vldvzl-all-about-w... WFC 6: https://rumble.com/vldw6j-all-about-w... WFC 7: https://rumble.com/vldw3r-all-about-w... WFC 8: https://rumble.com/vldw5f-all-about-w... WFC 9: https://rumble.com/vldwbj-all-about-w... They're also on my BitChute, but a couple of them are stuck in processing purgatory. Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Doing research into how the static site generator is to work GitLab: https://gitlab.com/DoctorAjayKumar/ophttpd Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Book 1 Prop 15: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI15.html Thumbnail GeoGebra: https://www.geogebra.org/m/hhqcu9ec Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

00:00 Preliminaries 01:00 Reading proposition 07:20 Cannon conversation 07:50 Predictions for the argument 09:30 I need a new monitor 12:00 Should I restart Bible playlist? 19:00 Oh no 21:00 Euclid was the George Floyd of Ancient Greece 24:00 The three philosophies of mathematics 27:00 My new blog (https://zxq9.com/archives/author/doctorajaykumar) 28:40 The point of QAnal and of this playlist 32:30 Back to work 33:55 When the argument clicks and thank you Norman Wildberger 35:35 Why the sum of interior angles in a convex polygon is 180*(number of sides) - 360 degrees 48:08 error that propagates but I catch later, sum should be 360 degrees 52:10 twice as many angles 54:00 Wildberger is clever 56:40 Finishing up 57:55 GeoGebra (1) B + O - G = 0 (2) B + O + P = 180 (3) P + G = 180 (2) - (1) = (3) (2) - (3) = (1) Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI32.html GeoGebra: https://www.geogebra.org/m/mnmstjm7 Wildberger algebraic topology: https://www.youtube.com/playlist?list=PL6763F57A61FE6FE8 Chromopill article: https://zxq9.com/archives/2067 articles: https://zxq9.com/archives/author/doctorajaykumar Cannon discussion: https://odysee.com/@BigBlackCannon:8/siqa-2022-05-06-projective-versus-euclidean:b Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/doctorajaykumar Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

This one is simple conceptually but the GeoGebra took a long time! This is the most complicated GeoGebra by far and the process of making it brings up a lot of interesting ideas! Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI35.html GeoGebra: https://www.geogebra.org/m/vaxhvq7b 00:00:00 Begin Part 1 00:19:00 Guide 00:26:00 CanonHub: Relational versus Graphical Structures in Mathematics 00:29:09 Begin Part 2 00:30:00 Dicking around with kdenlive 00:33:38 Looking into the future on this series 00:35:45 Monitors and to-do-list 00:40:00 How I learn things 00:41:20 Starting the GeoGebra: parallel copy 01:22:45 Insight: signed area relates to which triangle to pick in parallel copy 01:28:45 Explanation about signed area insight 01:32:00 Parallel copy procedure done, working on proposition part 01:33:00 The point of the proposition 01:37:30 We're showing how geometric procedures can be implemented as queries 01:50:30 The layers of the hypothetical query language 02:00:00 Going through the logic of the proposition again 02:32:00 Done with GeoGebra, making it web-suitable 02:39:00 Making the thumbnail Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/doctorajaykumar Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI36.html GeoGebra: https://www.geogebra.org/m/r7g2yx5h 00:00 Introduction and Looking Forward 07:40 Prop 36 12:00 GeoGebra Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Blog: https://zxq9.com/archives/author/doctorajaykumar Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Just kidding, find out here. WFC 4: https://rumble.com/vldvxd-all-about-w... WFC 5: https://rumble.com/vldvzl-all-about-w... WFC 6: https://rumble.com/vldw6j-all-about-w... WFC 7: https://rumble.com/vldw3r-all-about-w... WFC 8: https://rumble.com/vldw5f-all-about-w... WFC 9: https://rumble.com/vldwbj-all-about-w... They're also on my BitChute, but a couple of them are stuck in processing purgatory. Where to find me: - BitChute: https://www.bitchute.com/doctorajayku... - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NO... - Website: https://orangepill.healthcare/ Where to find Craig: - BitChute: https://www.bitchute.com/zxq9/ - Gab: https://gab.com/zxq9 - Minds: https://www.minds.com/bigblackcannon/ - Minds: https://www.minds.com/zxq9/ - Rumble: https://rumble.com/c/c-619215 - Website: http://zxq9.com/

Finishing step 1 in the pipeline: the request parser

Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Revelations 6 (Drive by Complex Analysis): https://gitlab.com/DoctorAjayKumar/rev00006_taylor/-/blob/master/frame.pdf Revelations 8 (Drive by Homology): Revelations 22 (Entropism): https://gitlab.com/DoctorAjayKumar/rev00022_entropism/-/blob/master/frame.pdf GlowieMath 1: https://rumble.com/vmj8u0-reading-a-book-written-by-the-unabombers-phd-advisor-glowiemath-1.html AA21: https://rumble.com/vmowbk-the-most-fundamental-idea-in-all-of-mathematics-wtf-is-quotienting-abstract.html Rudin Real and Complex Analysis: https://www.amazon.com/Real-Complex-Analysis-Higher-Mathematics/dp/0070542341/ Rudin Principles of Mathematical Analysis: https://www.amazon.com/Principles-Mathematical-Analysis-International-Mathematics/dp/0070856133/ Artin Algebra link: https://www.amazon.com/Algebra-Micael... Where to find me: - BitChute: https://www.bitchute.com/doctorajayku... - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NO... - Website: https://orangepill.healthcare/

Don't use Twitter, kids Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Entropism 1 video: https://rumble.com/vmfc5a-why-every-institution-has-failed-and-how-im-going-to-fix-everything-entropi.html Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Refactoring so that from the perspective of another application, all you have to do to use ophttpd is give it a port to listen to, and a router, and then it Just Works™. ophttpd GitLab: https://gitlab.com/DoctorAjayKumar/ophttpd/ texxx GitLab: https://gitlab.com/DoctorAjayKumar/texxx/ Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

First in what will be a long lecture series about the internals of my mega-project called QAnal (short for "rational analysis"). BitChute channel: https://www.bitchute.com/doctorajayku... Euler characteristic explained: https://youtu.be/iNlmUhEdKzE GitLab repo: https://gitlab.com/DoctorAjayKumar/qanal Homology video: https://www.youtube.com/watch?v=pEUqf... 00:00 Basic premise of QAnal 30:00 What does reducing a fraction mean? 37:18 GCD doesn't mean what you think it means 44:25 Digging into the code 1:03:18 Conclusion #QAnal #gcd #math

H(X, Y) = H(X) + H(Y | X). In other words, the entropy (= uncertainty) of two variables is the entropy of one, plus the conditional entropy of the other. In particular, if the variables are independent, then the uncertainty of two independent variables is the sum of the two uncertainties. #InformationTheory #CoverThomas

Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee: https://odysee.com/@DoctorAjayKumar - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (Craig Cannon Clips): https://rumble.com/c/c-765395 - Rumble (Dr. Ajay Kumar PHD): https://rumble.com/c/c-906055 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: https://orangepill.healthcare/

Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee (main): https://odysee.com/@DoctorAjayKumar - Odysee (podcast): https://odysee.com/@BigBlackCannon - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (main): https://rumble.com/c/c-906055 - Rumble (podcast): https://rumble.com/c/c-765395 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: http://orangepill.healthcare/

00:00:00 Intro 00:01:40 Gab sucks, the projective points and lines duality structure 00:19:00 Recap of gcd algorithm 00:21:30 Implications of the Fundamental Theorem of Arithmetic 00:37:30 CS versus CIA Math versus Divine Intellect QAnal 00:39:30 My difference with Norman Wildberger: canonical forms 00:44:10 Example 1 00:47:20 Example 2 00:49:40 Example 3 00:50:40 Example 4 and order of functions [O(n) notation] 00:56:20 Formalizing the procedure, row data structure 00:59:00 Python code to solve example 4 01:01:00 Row arithmetic in Erlang 01:03:30 Bread and butter of math: making abstract data structures that encode procedures 01:04:40 The magic of rows is procedures that compose nicely 01:07:00 How I made this 01:09:40 Revisiting the Python code 01:10:10 ILCs are such a common idea that they're built into the syntax of Python 01:11:50 The CIA's language game: hidden context swaps 01:12:20 Basic matrix multiplication 01:19:00 EGCD in Erlang 01:24:00 Positive, Negative, HIV-Positive and HIV-Negative 01:41:30 The unexpected pattern GeoGebra file: https://www.geogebra.org/m/rxt2segk Code: https://gist.github.com/DoctorAjayKumar/1738854edcfa90dd626fe454f3cef1f0 MFP playlist: https://odysee.com/@DoctorAjayKumar/mfp WFC playlist: https://odysee.com/@DoctorAjayKumar/wfc Where to find me: - BitChute: https://www.bitchute.com/doctorajaykumar/ - Gab: https://gab.com/DoctorAjayKumar - GitLab: https://gitlab.com/DoctorAjayKumar - Odysee (main): https://odysee.com/@DoctorAjayKumar - Odysee (podcast): https://odysee.com/@BigBlackCannon - Locals: https://orangepill.locals.com/ - Minds: https://www.minds.com/doctorajaykumar/ - Rumble (main): https://rumble.com/c/c-906055 - Rumble (podcast): https://rumble.com/c/c-765395 - Twitter: https://twitter.com/DoctorAjayKumar - YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug - Website: http://orangepill.healthcare/

Element page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI16.html GeoGebra: https://www.geogebra.org/m/mwhrzheh Euclid Elements playlist: https://odysee.com/@DoctorAjayKumar/ee Greek Math playlist: https://odysee.com/@DoctorAjayKumar/GreekMath Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/ Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Thought it would be a 40 minute video, it's over 2 hours and am only about halfway through the paper. Gotta say, it's a really good paper. Definitely worth the effort so far to understand it. It has already made me a better programmer WFC playlist: https://odysee.com/@DoctorAjayKumar/wfc Where to find me: BitChute: https://www.bitchute.com/doctorajaykumar/ Gab: https://gab.com/DoctorAjayKumar GitLab: https://gitlab.com/DoctorAjayKumar GeoGebra: https://www.geogebra.org/u/doctorajaykumar Odysee (main): https://odysee.com/@DoctorAjayKumar Odysee (podcast): https://odysee.com/@BigBlackCannon Locals: https://orangepill.locals.com/ Minds: https://www.minds.com/doctorajaykumar/ Rumble (main): https://rumble.com/c/c-906055 Rumble (podcast): https://rumble.com/c/c-765395 Twitter: https://twitter.com/DoctorAjayKumar YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug Website: http://orangepill.healthcare/

Covering the basic premise of the Readin' playlist: teaching you how to teach yourself advanced mathematics. The way you learn is by reading. There's technique to reading a math textbook, and you also need to know which textbooks you should buy. That's what I aim to communicate with the Readin' playlist.

Reading Artin's classic book "Algebra" (link to buy below). This section describes the process for solving a system of linear equations. A special case is when the system of linear equations has a unique solution, in which case the system of linear equations is invertible. Book: https://www.amazon.com/Algebra-Classic-Classics-Advanced-Mathematics/dp/0134689607/