Note that M being cyclic implies F is cyclic.
The probability of X being rational equals 1/2.
This is exactly our definition of a weight being regulated.
In addition to f being convex, we require that......
Here J is defined to equal Af, the function f being as in (3). [= where the function f is......; not: “being the function f as in'']
......, the constant C being independent of......
The ideal is defined by m=......, it being understood that......
But......, it being impossible to make A and B intersect. [= since it is impossible to make......]
The map F being continuous, we can assume that......
Actually, S has the much stronger property of being convex.
This method has the disadvantage of not being intrinsic.
[Do not write: “the function f being the solution of (1)'' if you mean: the function f that is the solution of (1).]