The phrase "as the initial time" is not commonly used in written English and may sound awkward.
It could be used in contexts where you are referring to a specific starting point in time, but it would be clearer to use more standard expressions.
Example: "We will begin the project as the initial time allows for a thorough review of the materials."
Alternatives: "at the outset" or "at the beginning".
Otherwise, we can translate the time axis and choose a suitable time as the initial time.
Onset in a specific ULF wave band is then defined as the initial time at which the wavelet power coefficient rises above the quite time threshold.
The argument in the proof of Theorem 1.1 allows us to conclude that û blows up and v̂ remains bounded, if we consider time (T-varepsilon) as the initial time.
Suppose (hat{tau}< T), then we can take (hat{tau}) as the initial time and deduce (|w-v|_{L^{q}((0,hat{tau}+epsilon);L^{2sigma+2})}=0) for some (epsilon>0), which contradicts the definition of (hat{tau}).
This system sets the start of the red phase as the initial time of one cycle, and then, in the period of the system reaction time before the red phase starts, judges whether there is a bus arriving at the intersection within a given period of the next signal cycle, where the period is the queuing and dissipating time of cars when the IBA lane is available to cars.
We then set the instant that the red phase starts as the initial time of the signal cycle and denote the cycle length as c, the duration of the red phase as r, the duration of the green phase as g = c−r (the duration of the yellow phase and the time taken for the bus to depart are not considered), the car arrival rate as q, and the saturation flow rate of a single lane as s.
As at the initial time of feeding, organic materials are readily available for microbes to degrade and decompose.
In presence of crude oil, the foam height was recorded as 70 ml at the initial time.
Subsequent measurement of blood pressure was expressed as a percentage of that at the initial time.
Moreover, as the initial times of heparin treatment were not defined clearly in the above three studies, we cannot rule out the possibility that patients who had died early would have no chance to receive heparin, whereas patients who had a longer survival would be more inclined to receive heparin.
Degradation of the chemical compounds was calculated as percentage of the initial (time point 0 h) peak area size.
