The Fourier transform is a bijection in by
Ciro Santilli 37 Updated 2025-05-09 +Created 1970-01-01
As mentioned at Section "Plancherel theorem", some people call this part of Plancherel theorem, while others say it is just a corollary.
This is an important fact in quantum mechanics, since it is because of this that it makes sense to talk about position and momentum space as two dual representations of the wave function that contain the exact same amount of information.
The most practical/precise volt standard.
It motivated the definition of the ampere in the 2019 redefinition of the SI base units
The wiki page en.wikipedia.org/wiki/Josephson_voltage_standard contains amazing schematics of the device, apparently made by the US Government.
Schematic of a typical Josephson voltage standard chip
. Source. - youtu.be/VoRab8U2eS0?t=354 the desired output voltage is 10V
- youtu.be/VoRab8U2eS0?t=475 lists the three most commonly used 10V implementations currently:
- youtu.be/6pgGNJby1lw?t=296 gives the experimental setup used to compare two different references. Notably it involves a nanovoltmeter
Autonomous agents research group of the University of Edinburgh by
Ciro Santilli 37 Updated 2025-05-09 +Created 1970-01-01
Their only undergraduate courses that matter:
Ciro Santilli contributed a bit to this, and was even given push rights, see also: see also: Ciro Santilli's minor projects.
Ciro Santilli's hardware House 2021 by
Ciro Santilli 37 Updated 2025-05-09 +Created 1970-01-01
Fridge: Lamona LAM6800 fridge freezer.
Washing machine: Lamona, someting along LAM8603: www.manualslib.com/manual/1049371/Lamona-Lam8603.html
- display lights meaning: www.coftonholidays.co.uk/wp-content/uploads/2020/02/Dishwasher-Instructions.pdf
- using: finish powerball quantum ultimate all in one tablests
- www.finish.co.uk/detergents-help but you also need salt and rinse, e.g. www.finish.co.uk/detergents-help
Street View's go into the past mode is the dream of every archaeologist. Ciro can only dream of a magic street view that allows going back to earlier centuries and beyond... isn't it amazing to think that people in the future will have that ability to time travel back to around the year 2006? Ciro wonders how long Google will be able to keep storing data like that.
Thanks, CIA.
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!
Intro to OurBigBook
. Source. 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.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. - 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