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A new function, the Hamiltonian, is then defined by H = ∑i q̇i pi − L. From this point it is not difficult to derive and These are called Hamilton's equations.
end{aligned} (9) On the other hand, by [8], Theorem 2, it is not difficult to derive the following.
Employing the method in [16] or [19], it is not difficult to derive that is the solution of problem (3.1).
At first, similar to the estimates for the Bernstein operators (see [2, 5, 6]), it is not difficult to derive the following Lemma 2.2.
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The reason is not difficult to deduce.
Remark: It is straightforward to verify that 0 < r 1 < 1 and 0 < r 2 < 1 if α μ > 0. As long as the formula of the steady-state probability is derived, it is not difficult to find various energy-consumption measures of the sensor node.
It is not difficult to understand why.
It is not difficult to see that.
It is not difficult to claim that.
It is not difficult to get that.
It is not difficult to check that.
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