Spain Updated 2025-07-16
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.
Everything can break everything Updated 2025-07-16
Whenever someone asks:
I can only see this one thing different our setups, do you think it could be the cause of our different behaviour?
you don't need to read anymore, just point them to this page immediately. Virtualization for the win.
Little Boy Updated 2025-07-16
Uranium-based, dropped on Hiroshima. The uranium was enriched at the Clinton Engineer Works.
Rorogwela Updated 2025-07-16
Video 1.
Rorogwela by Afunakwa (1970)
Source. Later used as a vocal sample in the Sweet Lullaby by Deep Forest (1992), which notably featured in Where the hell is Matt (2006), an early YouTube viral video. The original destroys the Deep Forest version however.
Cauchy boundary condition Updated 2025-07-16
Sets both a Dirichlet boundary condition and a Neumann boundary condition for a single part of the boundary.
We understand intuitively that this imposes stricter requirements on solutions, which makes it easier to guarantee uniqueness, but also harder to have existence. TODO intuitively why hyperbolic need this extra level of restriction.
If something does a quantum jump, what causes it to decide doing so at a particular time and not another? It is expected that a continuous cause would have continuous effects.
This concern was raised immediately by Rutherford while reviewing the Bohr model in 1913 as mentioned in The Quantum Story by Jim Baggott (2011) page 32.
CCP dynasty Updated 2025-07-16
Electronic money Updated 2025-07-16
Our minimal definition of "electronic money" is the following.
Instead of creating legal tender such as Dollars as banknotes or transactions in some complex obscure banking system, the government offers an official simple centralized API that represents it instead.
Each citizen or legal entity has an account there, and transfers between registered users are just simple API calls.
So for example you would e able to put all your money in the government account instead of using useless banks. And then you would invest it as you want with the investment company of your choice, without tying the "my money is here" with "this is the best investment" aspects of banks.
Four arts Updated 2025-07-16
Four Beauties Updated 2025-07-16
Figure 1.
A modern rendition of the four beauties
. Source. TODO we need a decent older one with CC BY-SA, and illustrating their attributes! Wikimedia failed me.
SageMath Updated 2025-07-16
A Python wrapper over a bunch of numeric and computer algebra system packages to try and fully replace MATLAB et. al.
For example, their
Quickstart tutorial at: www.sagemath.org/tour-quickstart.html From this we see that they are very opinionated, you don't need to import anything, everything has a pre-defined global name, which is convenient, e.g.:
is the 3D vector space over the rationals. This also suggests that they are quite focused on computer algebra as opposed to numerical.
Bash (Unix shell) Updated 2025-07-16
The more heavily a project relies on it, the more you start to regret it.
Celestron NexStar Updated 2025-07-16
Video 1.
Celestron NexStar SE Tutorial by Astronomia UK (2022)
Source. Meh! ;-)

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