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.:
    • 5 divides neither one
    • 6 divides 12
    • 7 divides neither
    • 8 divides only 8
    and so on.
Quanta Magazine by Ciro Santilli 37 Updated 2025-07-16
This is actually pretty good! Makes a small first step into The missing link between basic and advanced.
Unfortunately does not use a free license for content.
Hyperplane by Ciro Santilli 37 Updated 2025-07-16
Generalization of a plane for any number of dimensions.
Kind of the opposite of a line: the line has dimension 1, and the plane has dimension D-1.
In , both happen to coincide, a boring example of an exceptional isomorphism.
Field (physics) by Ciro Santilli 37 Updated 2025-07-16
Quantum Field Theory lecture notes by David Tong (2007) puts it well:
In classical physics, the primary reason for introducing the concept of the field is to construct laws of Nature that are local. The old laws of Coulomb and Newton involve "action at a distance". This means that the force felt by an electron (or planet) changes immediately if a distant proton (or star) moves. This situation is philosophically unsatisfactory. More importantly, it is also experimentally wrong. The field theories of Maxwell and Einstein remedy the situation, with all interactions mediated in a local fashion by the field.
This is also mentioned e.g. at Video "The Quantum Experiment that ALMOST broke Locality by The Science Asylum (2019)".
Mechanics by Ciro Santilli 37 Updated 2025-07-16
This section is more precisely about classical mechanics.
Film by Ciro Santilli 37 Updated 2025-07-16
Our definition of "film" is a broad one, including any moving picture, of any length, animated or not.
For the standard "2 hour film" format, see feature film.
The Thought Emporium by Ciro Santilli 37 Updated 2025-07-16
www.youtube.com/watch?v=H_H_TF5Kxks This Lab is RIDICULOUS (2021) gives an overview of their new laboratory, and hints of the types of projects they want to carry out.

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