# impulse function

## impulse function

[′im‚pəls ‚fəŋk·shən]
(mathematics)
An idealized or generalized function defined not by its values but by its behavior under integration, such as the (Dirac) delta function.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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They have more blood flow to the prefrontal cortex, which usually controls, decision making, focus and impulse function, Health news reported.
To illustrate the effectiveness of the proposed method, the acceleration responses a(t) induced by a bearing fault are simulated using the impulse function of a mass-spring-damper system  and are expressed as
For further suppression of cross-terms, we hope the weight to be ones and zeros for autoterms and cross-terms, respectively, that is, impulse function. In this way, the autoterms are maintained and the cross-terms are entirely eliminated.
Selecting 10 as the impulse function tracking period, we can conduct impulse analysis to the daily return growth rate of JPS and Comex from January 1, 2010, to December 31, 2012, and the results are shown as in Figure 1.
where [A.sub.i] means the impulse amplitude and imp(t) is the generalized impulse function. The parameters [A.sub.i], [t.sub.w] and [t.sub.arr] are random variables, whose statistical properties may be investigated by measurements.
[coq.sub.1]t = cos [theta] /[square root of 1-[s.sup.2] [sin.sup.2]([theta]-[epsilon])] ([theta] [equivalent to] t), for s [right arrow] [infinity] has at t = [pi] [+ or -] 2k[pi], (k = 0, 1, 2,...) the denominator del t = 0 and cos 0 = 1, such that the amplitude goes to infinite and, this way, will obtain, again, a periodical unitary impulse function (Figure 6).
The profile shape of this aberration is generally expressed as an impulse function of width [DELTA]2[[theta].sub.x] as shown Fig.
in themselves [and] makes them see their past as one vast wasteland of nonachievement" (Ngugi 3), Cortez's orchestrations of the blues impulse function as medicinal testimonies that recapitulate and historicize shared cultural experiences.
Since the impulse function can be very complicated and thus provide little intuition for three-year lagged variable model, we use one-year lagged variable model to demonstrate.
If we Fourier-invert the frequency data to get the impulse response, we find that this is well fitted by a 2nd order transfer function, which corresponds to an impulse function of the form t(exp(-t/[Tau])) [ILLUSTRATION FOR FIGURE 1A OMITTED].
By spreading and programming the multiple line spectrum over a wide RF bandwidth ([ or -]5 GHz), a short pulsewidth (pico-second) impulse function can be realized.
To illustrate the effectiveness of the proposed method, the acceleration responses a(i) induced by a bearing fault are simulated by the impulse function of a mass-spring-damper system  and expressed as

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