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Governments have lost all power to companies by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Beautifully argued at: Can't get you out of my head by Adam Curtis (2021).
Representation of the Lorentz group by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
One of the representations of the Lorentz group that show up in the Representation theory of the Lorentz group.
All indefinite orthogonal groups of matrices of equal metric signature are isomorphic by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Following the definition of the indefinite orthogonal group, we want to show that only the metric signature matters.
First we can observe that the exact matrices are different. For example, taking the standard matrix of :and:both have the same metric signature. However, we notice that a rotation of 90 degrees, which preserves the first form, does not preserve the second one! E.g. consider the vector , then . But after a rotation of 90 degrees, it becomes , and now ! Therefore, we have to search for an isomorphism between the two sets of matrices.
For example, consider the orthogonal group, which can be defined as shown at the orthogonal group is the group of all matrices that preserve the dot product can be defined as:
Ghost Dog: The Way of the Samurai (1999) by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Best quote at 00:23:01: matters of small concern should be treated seriously.
One is reminded of Nick Leeson.
Ciro can relate strongly to the level of passion depicted in this film: Section "Don't be a pussy". It almost feels like a business film in that a sense, where the startup is the authors career and passions.
They've been trying to get it to work forever, and it's beeen buggy forever:
Became the default on Ubuntu 21.04: www.omgubuntu.co.uk/2021/01/ubuntu-21-04-will-use-wayland-by-default
Partial differential equation solver by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
The images you have to have in mind are:
Yes, Sheldon he has separate American and British English versions of pages!!!
For example, Kross bicycle (2017) had a Schwalbe tyre with markings:When inflated, the tires were about 3.5cm wide as measured with a ruler.
42-622 (28 x 1.60, 700x40C)
And the Mavic A319 rim had markings:
622x19C
In this:
- ISO (Etrto): 42-622. So:
- 42 is the inner rim width. The actual inflated tire is going to be even wider.
- 622 is the bead seat diameter. The actual inflated tire is going to be even wider.
- imperial: 28 x 1.60
- French: 700x40C:
- meaning of the "C" asked at: bicycles.stackexchange.com/questions/16190/what-does-the-c-in-bicycle-tire-size-mean
- www.sheldonbrown.com/tire-sizing.html#french says A is larger than B which is larger than C, and C means 622 mm
- meaning of the "C" asked at: bicycles.stackexchange.com/questions/16190/what-does-the-c-in-bicycle-tire-size-mean
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
- Internal cross file references done right:
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact