Tariq
maths + art + science
📘 http://amazon.com/dp/B01EER4Z4G
📗 http://amazon.com/dp/B085Z96M9P
📕 http://amazon.com/dp/B0861QFR8C
📔 http://amazon.com/dp/B0BTQ7P69H
📓 http://amazon.com/dp/B0CQS8JYJC
📗 http://amazon.com/dp/B0DWHS1RDJ
𝗠𝗮𝘁𝗵𝘀 𝗣𝗿𝗼𝗼𝗳𝘀 𝗶𝗻 𝗟𝗲𝗮𝗻 - 𝗙𝗶𝗿𝘀𝘁 𝗦𝘁𝗲𝗽𝘀
You don't need to be a PhD to write simple maths proofs in Lean.
This course takes you from a complete beginner, and gives you enough confidence to read and write simple proofs. Each chapter has one exercise, designed to build confidence, not destroy it!
youtube: @LeanFirstSteps@www.youtube.com
free content: https://leanfirststeps.blogspot.com/p/contents.html
Have fun with Prolog!
... especially if you didn't enjoy it at university.
book - https://www.amazon.com/dp/B0BTQ7P69H/
youtube - @prologbyexample@www.youtube.com
for my next project I don't want to use github
some people mentioned codeberg - but is that still a suitably ethical recommendation?
are there other options?
what I value/need:
* will be around years from now
* i can use it via a web browser to do the basics (upload content)
* a macOS GUI tool would be nice but not crtical, I guess this means compatible with the git protocol
* nice to be able to render common files in the browser eg pdf, png,
* usable zero price option
This is an error in the author's solution, surely?
(my working is here and says \[ 2^{2^{n+1}} =(2^{2^n})\times (2^{2^n}) \]
https://numbertheorystepbystep.blogspot.com/2026/07/exercise-6312.html )
I remember seeing a few of these back in the day ...
https://en.wikipedia.org/wiki/2600%3A_The_Hacker_Quarterly
---
"The magazine's name comes from the phreaker discovery in the 1960s that the transmission of a 2600 hertz tone – which could be produced perfectly with a plastic toy whistle given away free with Cap'n Crunch cereal, discovered by friends of John Draper – over a long-distance trunk connection gained access to operator mode, and allowed the user to explore aspects of the telephone system that were not otherwise accessible."
currently watching this nice video on blue noise by @demofox@mastodon.gamedev.place
Beyond White Noise for Real-Time Rendering
How do you change the default font for LibreOffice spreadsheet app Calc?
This question illustrates how ux and ui design still has a way to go in major open source projects that seek to compete with popular proprietary software.
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The method is not where you'd expect it.
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It doesn't change the default for Calc, only for that file.
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Normal users shouldn't have to mess with "templates" and give them "specific names".
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If the above is wrong, that adds weight to the fact that a fairly tech confident person couldn't find the correct answer.
If I was a billionaire, I'd set up a Foundation to sponsor work on open source UX and UI design.
I'm now learning how "indices" of primitive roots can help in the same way taking logs can help:
----
Determine the least non-negative residue $x$ such that
\[7^{100}6^{100} \equiv x \pmod {17} \]
my solution:
https://numbertheorystepbystep.blogspot.com/2026/04/exercise-639.html
Perhaps Tim accidentally resigned because he got confused by Liquid Glass.
I liked the video a lot. I watched the first part more carefully and will return to part 2.
I finally understand that blue noise is globally uniform but locally random (sorry if that is very wrong), The explanation of one way to generate it by "picking the point furthest from others" is intuitive.
I need to go back and watch the irrational number thing which maps to points on a circle - but the idea that blue noise almost equidistantly dissects the circumference - minimising clumping - was a good way to illustrate the idea.
i may try to find your irrational numbers blog to read about it at a slower pace
- thanks for sharing !
given "tech users" love complexity and they have huge influence on open source development ... I think a good way fwd to have options for the UI
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a complex "traditional" mode
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a modern simplified UI+UX (what you, what happens) for "new users / beginners / whatever you name it"
Most people do 10% of the functions 90% of the time.
expanding on the "ugliness"
the icons and imagery
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are inconsistent in design feel, that mix is jarring
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render poorly at different scales
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some are difficult to understand - quickly, for even at all - a crucial design objective
Doing an exercise to show the following has no solutions.
\[x^3 \equiv 89 \pmod {197}\]
We can use a proposition - see attached image.
Question: why does the author's solution NOT first establish that 𝑛=197 has a primitive root?
Surely the proposition is only true if 𝑛 has a primitive root.
Any recommendations for a *protetcive* sleeve for a macbook ?
For years I used an Incase Icon with "tenserlite" which is just padding around the egde to protect against falls hitting the edge first.
The magnet appears to have weakened, and the laptop keeps slipping out and hitting the floor.
Can't get these any more it seems - so what do people recommend today?
