of small step size than will the full-step kinetic energy (using
:mdp-value:`integrator=md-vv`). For NVE simulations, this difference is usually not
significant, since the positions and velocities of the particles are
-still identical; it makes a difference in the way the the temperature of
+still identical; it makes a difference in the way the temperature of
the simulations are **interpreted**, but **not** in the trajectories that
are produced. Although the kinetic energy is more accurate with the
half-step-averaged method, meaning that it changes less as the timestep
:label: eqnMTTKthermandbarTrotterdecomp
The action of :math:`\exp\left(iL_1 {\Delta t}\right)` comes from the
-solution of the the differential equation
+solution of the differential equation
:math:`\dot{{{\mathbf{r}}}}_i = {{\mathbf{v}}}_i + {v_{\epsilon}}{{\mathbf{r}}}_i`
with
:math:`{{\mathbf{v}}}_i = {{\mathbf{p}}}_i/m_i`