sub-interval

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 Noun 1 sub-interval - an interval that is included in another intervalinterval - a set containing all points (or all real numbers) between two given endpoints
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Figure 2 shows the equivalent circuit of the first sub-interval where the [Q.sub.1] is on, [Q.sub.2] is off and the equations are written from the circuit in Figure 2.
It was drilled under-budget and the entire lateral has been placed on target, within the preferred sub-interval of the Caney formation.
Ahmad, Ntouyas, and Tariboon pull together their research and similar research by others into applying quantum calculus only on a sub-interval, then combining all intervals through impulsive conditions.
The initial selection of peaks is done using a sub-interval accuracy, zero-crossing detection technique applied to the derivative of the signal and which operates only on sufficiently large peaks (above 150% compared to a local average of the clipped signal).
Suppose that [[DELTA].sub.i] = 0; then according to discussions in Case I, the [C.sup.1]-rational quadratic FIF is a constant throughout the sub-interval [I.sub.i] with the value [f.sub.i] and [[alpha].sub.i] = 0.
In order to accomplish the described behavior, both the transmission and the reception slots have two specific subintervals, namely, a checking subinterval and a communication sub-interval. For the transmission slot, the checking subinterval, called TX Wake Period, represents the time interval during which the node checks its queue for buffered packets, whereas the communication sub-interval, called TX Data Period, represents the time interval during which the node carries out the actual data transmission.
Let [[??].sub.n] be the nodal representation of a piecewise linear function [[??].sup.n] in time with respect to the fine triangulation parameterized by [tau] on [[t.sub.0],[t.sub.f]], and continuous inside each coarse sub-interval [[T.sub.k-1],[T.sub.k]], i.e., the function [[??].sub.n] can be discontinuous across the coarse points [T.sub.k], 1 [less than or equal to] k [less than or equal to] [??] - 1, therefore, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
If I = {[i.sub.1], ...,[i.sub.n]}, a subset I' of the form [[i.sub.a], [i.sub.b]] = {[i.sub.a], ..., [i.sub.b]} (1 [less than or equal to] a [less than or equal to] b [less than or equal to] n) is called a sub-interval.
Example 9 Consider f(x) = [x.sup.2] in [0,1], the slope difference in each sub-interval is
This interval was comprised of two sub-intervals: a sub-interval from suspicion to consultation with an urologist (40 days) and a sub-interval from that consultation to biopsy (26 days) (Fig.
Invariant density measure and ergodieity: If we divide the complete range of state variable [0, 1] into a set of M equal sub-intervals and calculate the number that a trajectory visits a particular sub-interval i (1 [less than or equal to] i [less than or equal to] M ), if it is mi then the probability associated with the sub-interval i is [p.sub.i] = [m.sub.i]/N (where N is the total number of trajectory points considered).
To reconstruct f(x) on a sub-interval x [member of] [a, b] we apply the simple linear transformation

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