Element-wise reciprocal notation

Question

Does there exist notation for the following operator? $$[\frac{1}{a_{1}},\frac{1}{a_{2}},...,\frac{1}{a_{n}}]^{T} = \text{invert}( [a_{1},a_{2},...,a_{n}]^{T})$$

Answer 1

In suffix notation, used in vector calculus, a vector $$(a_1, a_2, \ldots, a_n) $$may be represented simply by $$a_i$$ where the index is understood to take all values allowed ($1$ to $n$ in this case). This is neat and compact and quite powerful.

You could then use this to write the vector whose components are reciprocals of your original vector as $$1/a_i$$