Degree (algebra) Updated 2025-07-16
The degree of some algebraic structure is some parameter that describes the structure. There is no universal definition valid for all structures, it is a per structure type thing.
This is particularly useful when talking about structures with an infinite number of elements, but it is sometimes also used for finite structures.
Examples:
- the dihedral group of degree n acts on n elements, and has order 2n
- the parameter that characterizes the size of the general linear group is called the degree of that group, i.e. the dimension of the underlying matrices
Finite algebraic structure Updated 2025-07-16
Examples:
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Oh, and if it weren't enough, mathematicians have a separate name for the damned nabla symbol : "del" instead of "nabla".
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The Holy Hand Grenade of Antioch scene from Monty Python and the Holy Grail
. Source. When a young Ciro Santilli played Worms Armageddon, he almost shat himself of laughter when he first threw a Holy Grenade. Little did he know it was actually a Monty Python reference.Black Knight scene from Monty Python and the Holy Grail
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As opposed to:
- 2020 cryptocurrencies, while governments still don't accept them for taxes, as well as other assets that are also not accepted for taxes (i.e. most assets)
- physical currencies that have intrinsic material value, e.g. gold coins
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