# bounded variation

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## bounded variation

[¦bau̇n·dəd ver·ē′ā·shən]
(mathematics)
A real-valued function is of bounded variation on an interval if its total variation there is bounded.
References in periodicals archive ?
for an increasing function variation, illustrated in Figure 1, give the results shown in Figures 2 and 3.
In accordance with the expressions of the procedure of (24)-(30) the free function variations calculated by
Caption: Figure 1: Free function variations for the traffic flow in comparison with the extremal solution (optimal function).
In Figure 4, the parametric function variation (Figure 4(a)) and corresponding unit-step responses (Figure 4(b)) of a low-pass first-order LTV filter have been presented (the same colour has been used for the parametric function and the corresponding output signal).
The obtained results showed that changes in the character of the parametric function variation lead to the modification of the properties of the system.
For each of them we shall establish parameter equations of the inner surface sections of the carcasses of the piston section and the volume function variation of one chamber.
The volume function variation V([phi]) depends continuously on [phi] and it has the branches [V.sub.i]([phi]) = [l.sub.p][A.sub.i] ([phi]) + [V.sub.ca], i = [bar.1,7] with the angle [phi] in the suitable intervals.
The volume function variation V ([phi]) depends continuously on [phi] and it has the branches [V.sub.i] ([phi]) = [l.sub.p] [A.sub.i] ([phi]) + [V.sub.ca], i = 1,7 with the angle [phi] in the suitable intervals.
The function variation by position vector variation-dr would be:
Washington, Feb 19 (ANI): Scientists in UK have found the first evidence linking brain function variations between the left and right sides of the brain to size at birth and the weight of the placenta.

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