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The most basic example is the flat Euclidean plane, an idealization of a flat surface in physical space such as a sheet of paper or a chalkboard. On the Euclidean plane, any two points can be joined by a unique straight line along which the distance can be measured.
Euclidean space was introduced by ancient Greeks as an abstraction of our physical space. Their great innovation, appearing in Euclid's Elements was to build and prove all geometry by starting from a few very basic properties, which are abstracted from the physical world, and cannot be mathematically proved because of the lack of more basic tools.
In the Renaissance, an architect like Leon Battista Alberti was expected to be knowledgeable in many disciplines, including arithmetic and geometry.. The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned ...
When q ≠ 2, the group is simple, and when q = 2, it has a simple subgroup of index 2 isomorphic to 2 A 2 (3 2), and is the automorphism group of a maximal order of the octonions. The Janko group J 1 was first constructed as a subgroup of G 2 (11). Ree (1960) introduced twisted Ree groups 2 G 2 (q) of order q 3 (q 3 + 1)(q − 1) for q = 3 2n ...
Sd.Kfz. 2/1 (Field cable-laying variant for long distance field cable Feldfernkabel) Sd.Kfz. 2/2 (Field cable-laying variant for heavy field cable Schweres Feldkabel) Sd.Kfz. 3 (Armored version of Daimler DZVR; number later reassigned) Sd.Kfz. 3 (Maultier 2-ton half-track truck) Sd.Kfz. 3 (Maultier) unloaded from a Messerschmitt Me 323 "Gigant ...
Joker: Folie à Deux [a] is a 2024 American jukebox musical [10] legal drama film directed by Todd Phillips from a screenplay he co-wrote with Scott Silver.Based on DC Comics characters, it is the sequel to Joker (2019) and stars Joaquin Phoenix reprising his role as Arthur Fleck / Joker, alongside Lady Gaga as Harley "Lee" Quinzel.
Justin Louis Baldoni (born January 24, 1984 [1]) is an American actor and director.He is best known for playing Rafael Solano on the CW telenovela Jane the Virgin (2014–2019) and for starring in and directing the romantic drama film It Ends with Us (2024).
License SA 3.0 and the GNU Free Documentation License 1.2 Recoll: Linux, Unix, Windows, macOS: Open-source desktop search tool for Unix/Linux GPL [8] Spotlight: macOS: