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on_physical_units_._note [2016/08/30 18:56] nikolaj |
on_physical_units_._note [2016/08/30 18:59] nikolaj |
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| * $h_F\,\left(\tau_t\dfrac{{\mathrm d}}{{\mathrm d}t}\right)^2x=l_x\,F(x,\frac{{\mathrm d}}{{\mathrm d}t}x,t)$ | * $h_F\,\left(\tau_t\dfrac{{\mathrm d}}{{\mathrm d}t}\right)^2x=l_x\,F(x,\frac{{\mathrm d}}{{\mathrm d}t}x,t)$ | ||
| - | $ \Delta_{t_1}^{t_2} x' = \dfrac{l_x}{\tau_t^2} \int A(x(t), x'(t), t)\,{\mathrm d}t $ | + | $ h_A\,\tau_t^2\,\Delta_{t_1}^{t_2} x' = l_x\,\int A(x(t), x'(t), t)\,{\mathrm d}t $ |
| where $\tau_t$ is a time constant characteristic for the system and $h$'s other parameters, possibly to be fixed in experiment. The usage of all the constants isn't standard. | where $\tau_t$ is a time constant characteristic for the system and $h$'s other parameters, possibly to be fixed in experiment. The usage of all the constants isn't standard. | ||
