The triangle inequality and Heron's problem | Euclid's Elements Book 1 Proposition 20
The correct Heron argument:
1. AE + EB' <= AP + PB' by the triangle inequality;
2. EB' = EB and PB' = PB by construction;
3. AE + EB <= AP + PB by substitution. QED.
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Aristaeus and Euclid | Conics Pt 1 Ch 2
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Subspaces of R^n (Artin 3.1) | Abstract Algebra 35
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Discovery of the Conics | Conics Pt 1 Ch 1
00:01:15 Table of Contents
00:05:30 How to make an ellipse
00:09:08 What is a conic
00:14:00 Flat earth
00:21:25 Twitter
00:23:00 Difficult time understanding BS and reals are nulls
00:29:45 Archimedes vs. Apollonius
00:31:30 Discovery of the Conics
00:33:00 Ptolemy
00:38:40 Incidental, implicit, and accidental complexity
01:06:20 Greek math versus European math
01:21:20 Why I'm skimming
01:23:20 The point of this chapter
01:24:20 Plato was the Klaus Schwab of Ancient Greece
01:31:15 Conclusion
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The angle opposite the biggest side is always the biggest angle | Euclid Elements Book 1 Prop 18
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Interior-Exterior Angle Inequality | Euclid's Elements Book 1 Proposition 16
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Straight Lines and Angry Dragons | Euclid's Elements Book 1 Proposition 13
Book 1 Prop 13: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI13.html
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Perps and polars | Euclid Elements Book 1 Prop 12
Geogebra B1P12: https://www.geogebra.org/m/vnb9ngry
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How to bisect an angle | Euclid Elements Book 1 Proposition 9
Book1Prop9 page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/propI9.html
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Novel Proof of the Side-Side-Side Congruence Theorem | Euclid Elements Book 1 Proposition 8
I found a better proof of this (I think), which is toward the end of the "Making the thumbnail" section
00:00:00 Introduction
00:05:50 Playing with microphone settings
00:12:29 Book 1 Prop 8
00:14:30 Groups of symmetries and quotienting
00:19:00 Signed multisets and sets
00:30:00 Group definition
00:37:20 Quotienting
00:39:30 Euclidean Group of Transformations
00:44:30 Clock arithmetic
00:46:50 Back to Euclid
01:04:00 How discoveries happen
01:09:10 Making the thumbnail
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Circles often intersect at exactly two points? IDK | Euclid Elements Book 1 Prop 7
Honestly this one's a head scratcher
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Something about isoceles triangles or something | Euclid Elements Book 1 Prop 5
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All Iso-Angle Triangles are Isosceles | Euclid Elements Book 1 Prop 6
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Unstuckifying | ophttpd 25
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Euclid Elements: Book 1, Proposition 3
How to subtract segments
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Euclid Elements: Book 1, Definitions, Postulates, and Common Notions
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The Fundamental Theorem of Arithmetic | MFP 4
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/
11
views
Static file server and the Erlang service/worker pattern | ophttpd 23
Service-worker pattern article: https://zxq9.com/archives/1311
ophttpd GitLab: https://gitlab.com/DoctorAjayKumar/ophttpd/
jj_static GitLab: https://gitlab.com/DoctorAjayKumar/jj_static/
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/
3
views
Rust v. Erlang: reducing fractions | Math for Programmers 3
QAnal (Erlang) GitLab: https://gitlab.com/DoctorAjayKumar/qanal
Rust example: https://gitlab.com/DoctorAjayKumar/qrs
MFP playlist: https://odysee.com/@DoctorAjayKumar/mfp
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/
6
views
Logic of Reducing Fractions | Math for Programmers 2
MFP playlist: https://odysee.com/@DoctorAjayKumar/mfp
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/
4
views
The Plan | Math for Programmers 1
My good math content is too disorganized, so we're redoing it here, all in one sequence
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/
1
view
Wildberger's framework for planar geometry | Abstract Algebra 34
Old video I made some months ago, never published. It's a good video, and does a good job of recapping some of the work we've done already, and also lays the groundwork for some work where we're going.
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/
23
views
I made a huge mistake | ophttpd 21
I forgot a main principle of concurrent/functional programming: any given piece of data lives in exactly one place.
So the set_routing stuff I did will probably have to be undone. I'm so happy
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/
4
views
Refactoring ophttpd so it's useful for other applications | ophttpd 19
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 Worksâ„¢.
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/
7
views