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Kind of extends the complex numbers.
Some facts that make them stand out:
- one of the only three real associative division algebras in addition to the real numbers and complex numbers, according to the classification of associative real division algebras
- the simplest non-commutative division algebra. Contrast for example with complex numbers where multiplication is commutative
Unlike the quaternions, it is non-associative.
Wikipedia defines Mind uploading as a synonym for whole brain emulation. This sounds really weird, as "mind uploading" suggests much more simply brain dumping, or perhaps reuploading a brain dump to a brain.
Superintelligence by Nick Bostrom (2014) section "Whole brain emulation" provides a reasonable setup: post mortem, take a brain, freeze it, then cut it into fine slices with a Microtome, and then inspect slices with an electron microscope after some kind of staining to determine all the synapses.
Likely implies AGI.
zettelkasten.de/posts/overview/ mentions one page to rule them all:
How many Zettelkästen should I have? The answer is, most likely, only one for the duration of your life. But there are exceptions to this rule.
- youtu.be/CLUWDLKAF1M?t=380 Shows a pig with the implant, and live signals are shown when its nose touches something.
- youtu.be/CLUWDLKAF1M?t=536 shows a pre-recorded pig study correlating really the joint positions while walking with the neuralink signals
Basically a subset of the boundary condition for when one of the parameters is time and we are specifying values for the time 0.
Specifies fixed values.
Can be used for elliptic partial differential equations and parabolic partial differential equations.
Numerical examples:
Specifies the derivative in a direction normal to the boundary.
Can be used for elliptic partial differential equations and parabolic partial differential equations.
Most commonly, boundary conditions such as the Dirichlet boundary condition are taken to be fixed values in time.
Bibliography:
Pinned article: 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!
Intro to OurBigBook
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- 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.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. 
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