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.
Leeuwenhoek microscope by Ciro Santilli 37 Updated 2025-07-16
Figure 1. Source. This is a microscope, I kid you not. TODO photo of what you can see with it.
3Blue1Brown by Ciro Santilli 37 Updated 2025-07-16
Amazing graphs and formulas.
Python graphics engine open sourced at: github.com/3b1b/manim "Animation engine for explanatory math videos". But for some reason there is a community fork: github.com/ManimCommunity/manim/ "This repository is maintained by the Manim Community, and is not associated with Grant Sanderson or 3Blue1Brown in any way (though we are definitely indebted to him for providing his work to the world). If you want to study how Grant makes his videos, head over to his repository (3b1b/manim). This is a more frequently updated repository than that one, and is recommended if you want to use Manim for your own projects." what a mess.
Propositional logic by Ciro Santilli 37 Updated 2025-07-16
This is the part of the formalization of mathematics that deals only with the propositions.
In some systems, e.g. including Metamath, modus ponens alone tends to be enough, everything else can be defined based on it.
Football by Ciro Santilli 37 Updated 2025-07-16
Football is a synonym for association football, can we be done with that! The word "soccer" is an aberration.

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