A question about dummy variable

[eisamabodian]

Which of these forms is correct for a dummy variable?

Model A)

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1 : T>=S 0 : T<S S=Structural break date

Model B)

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1 : T>S 0 : T<=S S=Structural break date

[startz]

Either is fine. They differ in whether date T is on or off.

[eisamabodian]

Either is fine. They differ in whether date T is on or off.

What does mean on or off?

[startz]

Which side of the structural break do you want observation T to be in.

[eisamabodian]

Which side of the structural break do you want observation T to be in.

Is this arbitrary ?
Can we use both of this forms in empirical works?
Because in some papers I see Model A , while in others I see Model B.Is the result is the same in both of these situations or is different?