# Strange right-arrow symbol ($\mapsto$) in stochastic calculus.

1. Nov 8, 2012

### operationsres

What does the right arrow mean in this context:

"
...Then the process $t \mapsto \int_{0}^t \phi_s dM_s$ are well-defined continuous local martingales, whose quadratic variations are given by ...

"

Is this supposed to mean "the process $X$ that is the mapping $X: t \mapsto \int_{0}^t \phi_s dM_s$"

2. Nov 9, 2012

### HallsofIvy

Yes, that indicates a "mapping". t is mapped to $\int_0^t \phi_s dM_s$.