Assumptions:
TeX:
\log\!\left(c z\right) = \log\!\left(c\right) + \log\!\left(z\right) c \in \left(0, \infty\right) \,\mathbin{\operatorname{and}}\, z \in \mathbb{C} \setminus \left\{0\right\}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
Log | Natural logarithm | |
OpenInterval | Open interval | |
Infinity | Positive infinity | |
CC | Complex numbers |
Source code for this entry:
Entry(ID("f67fa2"), Formula(Equal(Log(Mul(c, z)), Add(Log(c), Log(z)))), Variables(c, z), Assumptions(And(Element(c, OpenInterval(0, Infinity)), Element(z, SetMinus(CC, Set(0))))))