# step function

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## step function

[′step ‚fəŋk·shən]
(mathematics)
A function ƒ defined on an interval [a,b ] so that [a,b ] can be partitioned into a finite number of subintervals on each of which ƒ is a constant. Also known as simple function.
More generally, a real function with finite range.
References in periodicals archive ?
Heterogeneous residual variances were modelled by a step function with 10 and 4 classes of variance and these two types of residual variance classification were compared.
Suppose that s : [a,b] [right arrow] X is a step function; by Theorem 22 we have that the integral (HS) [[integral].sup.b.sub.a] (s, dg) exists.
The STEP functions are used to add motion to system in order to prevent the system simulation abnormity caused by abrupt speed variation in the simulation process.
Caption: Figure 4: 11 test functions: (a) [f.sub.1] sphere function; (b) [f.sub.2] Schaffer function; (c) [f.sub.3] step function; (d) [f.sub.4] SumSquare function; (e) [f.sub.5] Zakharov function; (f) [f.sub.6] Griewank function; (g) [f.sub.7] Rastrigin function; (h) [f.sub.8] alpine function; (i) [f.sub.9] Shubert function; (j) [f.sub.10] Ackley function; (k) [f.sub.11] Cmfun function.
From the Heaviside step function contained in the definition of the transverse dynamic spin susceptibility (1), it already follows that [[chi].sup.+-] (r, r'; t - t') = 0 and hence
Caption: Figure 11: Comparison of the proposed fragility curves for Slight about the different interval selections with alternative formulation of the proposed fragility curves by using step function and connecting the necessity measure at the center of PGA interval.
I is identity matrix with the same residual variance in the case of (hom), while with the different vaiance functions in various (het) step function classes.
The runs test will signal non-randomness (a potential streaky sequence) if the plotted step function ends up outside two standard deviations after 162 games.
Cross-correlation of the displacements measured by DIC with a step function is employed to identify the advancing crack tip in a graphite beam specimen under three-point bending.
which, like (2), can also be understood as a kind of step functions with continuity and goes to the step function under the limit [l.sub.0] [right arrow] 0.
Since the original step function reveals no change except at the interface, the differentiated function is equal to zero everywhere but the interface must have infinite increase.

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