some physicists believe that the super string theory contains
Newton's laws of motion, quantum mechanics, Maxwell's equations, and Einstein's theory of relativity.
that is why the super string theory is called the theory of everything.
this is the very example of "the one representing all".
"the one representing all" is a very powerful concept.
as one of the merits, by the concept,
you do not need to remember each fact.
in 2D, let A be a point (a,b), P be an arbitrary point (x,y), and v be vertical to the vector AP. then
AP・v = 0 represents linear equations.
in 3D, let A be a point (a,b,c), P be an arbitrary point (x,y,z), and v be vertical to the vector AP. then
AP・v = 0 represents plane equations.
・moment generating function
(p+q)^n = Σ nCr p^(n-r) q^r
・axiom(for instance, Euclidean geometry, the principle of relativity, etc)
・differentiation, differential equations