The "greatest common divisor" of two integers and , denoted is the largest natural number that divides both of the integers.
For example, is 4, because:
- 4 divides both 8 and 12
- and this is not the case for any number larger than 4. E.g.:and so on.
- 5 divides neither one
- 6 divides 12
- 7 divides neither
- 8 divides only 8
Spin is one of the defining properties of elementary particles, i.e. number that describes how an elementary particle behaves, much like electric charge and mass.
Possible values are half integer numbers: 0, 1/2, 1, 3/2, and so on.
The approach shown in this section: Section "Spin comes naturally when adding relativity to quantum mechanics" shows what the spin number actually means in general. As shown there, the spin number it is a direct consequence of having the laws of nature be Lorentz invariant. Different spin numbers are just different ways in which this can be achieved as per different Representation of the Lorentz group.
Video 1. "Quantum Mechanics 9a - Photon Spin and Schrodinger's Cat I by ViaScience (2013)" explains nicely how:
- incorporated into the Dirac equation as a natural consequence of special relativity corrections, but not naturally present in the Schrödinger equation, see also: the Dirac equation predicts spin
- photon spin can be either linear or circular
- the linear one can be made from a superposition of circular ones
- straight antennas produce linearly polarized photos, and Helical antennas circularly polarized ones
- a jump between 2s and 2p in an atom changes angular momentum. Therefore, the photon must carry angular momentum as well as energy.
- cannot be classically explained, because even for a very large estimate of the electron size, its surface would have to spin faster than light to achieve that magnetic momentum with the known electron charge
- as shown at Video "Quantum Mechanics 12b - Dirac Equation II by ViaScience (2015)", observers in different frames of reference see different spin states
Quantum Mechanics 9a - Photon Spin and Schrodinger's Cat I by ViaScience (2013)
Source. Quantum Spin - Visualizing the physics and mathematics by Physics Videos by Eugene Khutoryansky (2016)
Source. Ciro Santilli considered it before he stopped using file managers altogether, it is not bad.
Magic the gathering's banning of 7 cards due to "racism" (2020) Updated 2025-01-10 +Created 1970-01-01
Official announcement: magic.wizards.com/en/articles/archive/news/depictions-racism-magic-2020-06-10
List of cards with images: www.hipstersofthecoast.com/2020/06/wizards-bans-7-cards-that-depict-racism-including-invoke-prejudice/
- Invoke prejudice: depicts the Ku Klux Klan. Card's title clearly criticizes them "prejudice".
- Stone-Throwing Devils: not sure about this one: boardgames.stackexchange.com/questions/54341/what-is-offensive-about-the-card-stone-throwing-devils
- Cleanse: it does not seem to have any reference to black people, image depicts fantastic animals. There are hundreds of cards that talk about black since it is one of the 5 colors of magic.
- Pradesh Gypsies: does not appear to suggest any bad things about gypsies, on the contrary
- Jihad: does not appear to suggest any bad things about Islam, on the contrary
- Imprison: depicts a black slave. Let's pretend it never happened.
- Crusade: pretend it never happened
By Wizards of the Coast, parent company of Magic: The Gathering.
Year 4 of the computer science course of the University of Oxford Updated 2025-01-10 +Created 1970-01-01
Superconducting qubits are bad because it is harder to ensure that they are all the same Updated 2025-01-10 +Created 1970-01-01
This is unlike atomic systems like trapped ion quantum computers, where each atom is necessarily exactly the same as the other.
Turing machine that halts if and only if the Goldbach conjecture is false Updated 2025-01-10 +Created 1970-01-01
So dominant that it is usualy called just "zip".
Created by MongoDB, attempts to be even more restrictive than AGPL by more explicitly saying that indirect automatic requests are also included in the "you must give source" domain: opensource.stackexchange.com/questions/8025/difference-between-mongodb-sspl-and-gnu-agpl
Game AI is an artificial intelligence that plays a certain game.
The layered one.
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