/sci/ - Science & Math

>>15236016
>>15236018
if you keep going to infinity, you'll get a recursive expression. depending on whether you stop on A or B the equation will be
[math] \displaystyle
\frac{\frac{x+A}{2}+B}{2}=x
[/math]
or
[math] \displaystyle
\frac{\frac{x+B}{2}+A}{2}=x
[/math]
hence the asymptotic oscillation.

>>12244652
"the reals have closure under multiplication"
sometimes a binary operator can have operands from two different sets, like multipling a vector and a scalar. for example, a requirement for a subset of vectors to be a subspace of a vector space is that if you multiply any vector in the set by a scalar, the resulting vector is also in the subset. we say then that "the sub space has closure under scalar multiplication"