It's a formula that has clearly worked with the business now turning over close to £8 million – quite a growth since the first order of £600 came in all those years ago.
Otherwise, the Lemma 2.3 is not true since the second order derivative d 2 d t 2 x ( t ) does not exist when q = 2.
Since the second order equations have applications in various problems in physics, biology, and economics, there is a permanent interest in obtaining new sufficient conditions for the oscillation or nonoscillation of solutions of various types of second order equations; see for example [1 12], and the references cited therein.
Iraq has agreed to "increased cooperation with the U.S. about information sharing" and screening since the first order's signing, a senior administration official said Monday.
Since the second order ODE can model RNA-seq data very well, the location-coefficient functions of the ODE may well characterize the features of the regulatory process and measure the impact of the gene expression on the function of the cells and tissues.
Since the occurrence of the first order thought is precisely what the judgment contends, the judgment is thus invariably true, i.e., infallible (Parent 2007).
Since there obviously were problems with the first order, Keenan wondered if the assertion that there weren't might, in and of itself, "undermine" the second one.
We therefore obtain (psi '(0) = psi (0) = 0) so (psi (x) = 0) for all (x), since (psi ) is an eigenfunction of the second order differential operator in Eq. (3.8).
Since the third-order model cannot be easily handled by the current controller design, a simple first order-model is obtained with proper assumptions and manipulations.
Since the third-order PLL is robust to acceleration, this acceleration sensitivity is considered to be caused by the lowness of the DLL order.
Since the third-order nonlinear susceptibility of titania is on the order of 10−15 cm2/W [30], photonic crystals A and B are considered to be linear in our simulations.
