Proverbs 27:17.
New International Version:
As iron sharpens iron, so one person sharpens another.
Klein-Gordon equation Updated 2025-07-16
A relativistic version of the Schrödinger equation.
Correctly describes spin 0 particles.
The most memorable version of the equation can be written as shown at Section "Klein-Gordon equation in Einstein notation" with Einstein notation and Planck units:
Has some issues which are solved by the Dirac equation:
Aspen HYSYS Updated 2025-07-16
Video 1.
Aspen Hysys Introduction by Emmanuel Oloyede (2016)
Source. Holy crap, the UI is identical to Microsoft Word with that huge top bar!!!
Associative array Updated 2025-07-16
More commonly known as a map or dictionary.
Number of pages: 616!
Don't redistribute clause, and final version by Cambridge University Press, alas, so corrections will never be merged back: web.physics.ucsb.edu/~mark/qft.html. But at least he's collecing erratas for the published (and therefore draft) versions there.
The book is top-level organized in spin 0, spin half, and spin 1. Quite ominous, really.
The preface states that one of its pedagogical philosophies is to "Illustration of the basic concepts with the simplest examples.", so maybe there is hope after all.
Biathlon Updated 2025-07-16
Quantum Intermediate Representation Updated 2025-07-16
Used e.g. by Oxford Quantum Circuits, www.linkedin.com/in/john-dumbell-627454121/ mentions:
Using LLVM to consume QIR and run optimization, scheduling and then outputting hardware-specific instructions.
Presumably the point of it is to allow simulation in classical computers?
Cayley-Dickson construction Updated 2025-07-16
Constructs the quaternions from complex numbers, octonions from quaternions, and keeps doubling like this indefinitely.
Cheap robot Updated 2025-07-16
Quantum key distribution Updated 2025-07-16
Man-in-the-middle attack
BB84 is a good first algorithm to look into.
Long story short:
QKD uses quantum mechanics stuff to allow sharing unsnoopable keys: you can detect any snooping and abort communication. Unsnoopability is guaranteed by the known laws of physics, up only to engineering imperfections.
Furthermore, it allows this key distribution without having to physically take a box by car somewhere: once the channel is established, e.g. optical fiber, you can just keep generating perfect keys from it. Otherwise it would be pointless, as you could just drive your one-time pad key every time.
However, the keys likely have a limited rate of generation, so you can't just one-time pad the entire message, except for small text messages. What you would then do is to use the shared key with symmetric encryption.
Therefore, this setup usually ultimately relies on the idea that we believe that symmetric encryption is safer than , even though there aren't mathematical safety proofs of either as of 2020.
Quantum mechanics Updated 2025-07-16
Quantum mechanics is quite a broad term. Perhaps it is best to start approaching it from the division into:
Mathematics: there are a few models of increasing precision which could all be called "quantum mechanics":
Ciro Santilli feels that the largest technological revolutions since the 1950's have been quantum related, and will continue to be for a while, from deeper understanding of chemistry and materials to quantum computing, understanding and controlling quantum systems is where the most interesting frontier of technology lies.
Chicago Updated 2025-07-16

Unlisted articles are being shown, click here to show only listed articles.