Shorthand for $0<i<1$ , $0<j<1$, $0<k<1$

189 Views Asked by At

Is it good style to write $0<i<1$, $0<j<1$, $0<k<1$ as $0<i,j,k<1$?

The following does not seem so clear:

$0<i,j<1$

as it may be interpreted as: $0<i $ and $ j<1$ or $0<i<1$, $0<j<1$

2

There are 2 best solutions below

0
On

It is okay. The comma indicates that there is no necessary relation between $i,j$ and $k$.

2
On

I would definitely interpret $$0 < i,j < 1$$ as $$0 < i < 1 \text{ and } 0 < j < 1. \quad (*)$$ I would not interpret it as $$0 < i \text{ and } j < 1. \quad (**)$$ It is conventional, when writing a single inequality between a variable and a constant, to put the variable on the left, so if I meant (**), I would write $$i > 0,\, j < 1.$$