Can someone please explain what the symbol $\stackrel{!}{=}$, consisting of an exclamation mark (!) above an equals sign (=) means? Below is the example I'm trying to decipher:




---


The normalization factor is chosen such that in average, Dynamic Θ Time passes as fast as physical time. In practice it is determiend by the condition that the interval in Dynamic Θ Time corresponding to a 4-year reference period [$T\_0$, $T\_1$] should be of exactly the same length:


$T\_1 - T\_0 \stackrel{!}{=} \int\_{T\_0}^{T\_1} a(t) dt$



What does ! above = mean
In my classes I use it to indicate anxiety. So an equals with ! over it means "we want to show this equality is true". An equals without ! means "I am asserting this is true". 


I don't know how universal this convention is, though. I do know I'm not the only person to use this convention. 


