How to make a perpendicular | Euclid's Elements Book 1 Proposition 11
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How to bisect a line segment | Euclid's Elements Book 1 Proposition 10
GeoGebra: https://www.geogebra.org/m/kkx8fucs
Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/
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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
Book1Post2 page: https://mathcs.clarku.edu/~djoyce/java/elements/bookI/post2.html
Book1Prop9 GeoGebra: https://www.geogebra.org/m/dvt5bef3
Archimedes neusis angle trisection GeoGebra: https://www.geogebra.org/m/yfze3egn
WildTrig playlist: https://www.youtube.com/playlist?list=PL3C58498718451C47
Divine Proportions: https://www.wildegg.com/store/p4/product-divine-proportions-hardback-book.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
Euclid Elements website: https://mathcs.clarku.edu/~djoyce/java/elements/
Thumbnail GeoGebra: https://www.geogebra.org/m/spgkwjjn
Abstract Algebra playlist (determinants: 5-16; quotienting: 21-33): https://www.youtube.com/playlist?list=PLeV-0tFYTT3HsFkLfm4XFvCmHMwuXtepo
Signed multiset example code: https://gitlab.com/DoctorAjayKumar/qanal/-/blob/1cb2a915563c7916729aec858db21e87987056dc/src/qx_sms.erl
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WFC podcast:
Part 1: https://rumble.com/vnt7im-first-steps-in-wf-algebra-math-after-dark-ep-2-pt-1-siqa-ep0002-cl001.html
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Part 4: https://rumble.com/vnvpnm-code-review-rewrite-barriers-and-fake-programmers-math-after-dark-ep-2-pt-4.html
Part 5: https://rumble.com/vnvptq-erlang-uber-alles-math-after-dark-ep-2-pt-5-siqa-2.5.html
Part 6: https://rumble.com/vnvq4k-reflecting-on-the-beauty-of-wf-algebra-finishing-up-math-after-dark-ep-2-pt.html
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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
GeoGebra: https://www.geogebra.org/m/pnwrnckf
Website: https://mathcs.clarku.edu/~djoyce/java/elements/
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All Iso-Angle Triangles are Isosceles | Euclid Elements Book 1 Prop 6
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Side-Angle-Side Congruence of Triangles | Euclid Elements: Book 1, Proposition 4
sorry about the audio recorded on the toilet
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Unstuckifying | ophttpd 25
Podcast: https://www.youtube.com/watch?v=uwHU06pYJDE
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Trying to get unstuck | ophttpd 24
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3
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Euclid Elements: Book 1, Proposition 3
How to subtract segments
GeoGebra: https://www.geogebra.org/m/rs8gt6k8
Website: https://mathcs.clarku.edu/~djoyce/java/elements/
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3
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Euclid Elements: Book 1, Definitions, Postulates, and Common Notions
Website: https://mathcs.clarku.edu/~djoyce/java/elements/
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Euclid's Elements: Book 1, Proposition 1
How to construct an equilateral triangle with a straightedge and compass, according to Euclid
Website: https://mathcs.clarku.edu/~djoyce/java/elements/
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13
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Euclid's Elements: Book 1, Proposition 2
How to duplicate a compass
Website: https://mathcs.clarku.edu/~djoyce/java/elements/
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18
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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
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11
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The Erlang Service/Worker Pattern
Article on Service-Worker Pattern: https://zxq9.com/archives/1311
Clipped from ophttpd 23: https://odysee.com/@DoctorAjayKumar/ophttpd23
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Static file server and the Erlang service/worker pattern | ophttpd 23
Service-worker pattern article: https://zxq9.com/archives/1311
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Fixed the conceptual mistake in routing | ophttpd 22
I previously had each browser-secretary have its own routing table. That was wrong. Data lives in exactly one place. Fixed that mistake here
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Rust v. Erlang: reducing fractions | Math for Programmers 3
QAnal (Erlang) GitLab: https://gitlab.com/DoctorAjayKumar/qanal
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6
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Announcement
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7
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Logic of Reducing Fractions | Math for Programmers 2
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The Plan | Math for Programmers 1
My good math content is too disorganized, so we're redoing it here, all in one sequence
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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.
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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/
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- YouTube: https://www.youtube.com/channel/UC3NOwTrjbil7yVghQgJ1mug
- Website: https://orangepill.healthcare/
4
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