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One such peculiarity is given by instant edges (edges that appear only during a unique time interval).
The ARX takes 3 to 4 seconds to identify the broadcasting transmitter's unique time interval, meaning that an individual transmitter can in theory be detected up to 5 times during a 20 second transmission.
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Firstly, we prove that (1.9)–(1.13) has a unique solution in infinite time interval then obtain the existence of global solution of (1.9)–(1.13) in by prior estimates.
The authors proved that (1.3) has a unique solution in infinite time interval by prior estimates and demonstrated its long time behavior which was described by a global attractor.
Under Hypothesis 2.1 the systems (1) and (4) have unique pathwise solutions on all time interval (0leq tleq T).
In this section, we use the Banach fixed point theorem to show that the integral equation (5) has a unique continuous solution on the time interval ([0,t_{1}]) for some (t_{1}>0).
Under Hypothesis 2.1 and the coercivity condition begin{aligned} existsnu>0, forall vin mathbb {R}, quad rho_{x} v wedge zeta_{x} v geqnu>0, end{aligned} (14) the systems (5) and (9), complemented with (6) or (7), have unique pathwise solutions on all time interval ([0,T]).
In examining low-temperature development over the past 150 years, we recognize that there are three convenient 50-year time segments, where the developments in each time interval have their unique characteristics.
Thus, the system has a unique optimal solution for a small time interval.
Thus system (2.11) is affine (it consists of a sum of a linear transformation and a constant) and, therefore, by using a contraction argument, it admits a unique local solution defined on some time interval [ 0, T ].
Using a unique patient cohort, we have investigated whether time interval to second breast cancer (BC2) and mode of detection are associated to prognosis.
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