I've seen ancient equations written by Arabs which are basically an entire essay describing how to do something which can be easily described by a single equation not more than ten characters long.
Sometimes the reasons are historical or due to the fact that certain mathematical objects weren't yet developed at the time, or just not known to the mathematician.
As an example take James Maxwell, when he worked on what are now called Maxwell's equations, he didn't use vector notation, and they were a bit less than 2 dozen equations, now they're more commonly taught with vector notation and are written more concisely as four equations, going even further using tensors you can group them into two equations only.
described by a single equation not more than ten characters long
An equation does not equal a proof. Maybe that's not what you saw, but a proof is basically proving the equation works from first principles. That takes a good number of words to do.
5 Comments
snoons@lemmy.ca · 19 pts · 115d
I've seen ancient equations written by Arabs which are basically an entire essay describing how to do something which can be easily described by a single equation not more than ten characters long.
alb@reddthat.com · 15 pts · 115d
Sometimes the reasons are historical or due to the fact that certain mathematical objects weren't yet developed at the time, or just not known to the mathematician.
As an example take James Maxwell, when he worked on what are now called Maxwell's equations, he didn't use vector notation, and they were a bit less than 2 dozen equations, now they're more commonly taught with vector notation and are written more concisely as four equations, going even further using tensors you can group them into two equations only.
ech@lemmy.ca · 7 pts · 115d
An equation does not equal a proof. Maybe that's not what you saw, but a proof is basically proving the equation works from first principles. That takes a good number of words to do.
bobo@lemmy.ml · 4 pts · 114d
Oh you thought 1+1=2 is simple to prove?
Principia Mathematica enters the chat
sik0fewl@piefed.ca · 4 pts · 115d
Maybe mathematics isn’t the universal language.