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Posted By: AngusScaling. d/dt (f(Kt) = K d/dt f(t)Except that he seemed to be expressing the idea that (d/dx(sin(x)))^4 = K*sin(x) where K>1.
Posted By: AsterixIt will do so while blowing a 1/8" hole clear through your head.Posted By: alsetalokinThe blood rushes out of my head when I even think of a 40 kV, 2 amp power supply.
Get your head in the right place and the 40KV will neatly cauterize the blood vessels, stopping the bleeding from your head.
Posted By: joshsPosted By: AngusScaling. d/dt (f(Kt) = K d/dt f(t)Except that he seemed to be expressing the idea that (d/dx(sin(x)))^4 = K*sin(x) where K>1.
Posted By: Andrew PalfreymanJust a side note about higher order time derivatives, which are often attributed almost magical properties by the more whimsical. For a sinewave, these increase in magnitude for each higher order, the multiplicative coefficient being "omega" = 2*PI*frequency. So the Nth order time derivative is omega^N bigger than the fundamental.
At the birth of the radio era, electrical sinewaves came into general use. Nothing unexpected was seen then, nor has been since, in respect of these Nth order terms. I expect nature has sinewaves of her own too, and they've been going much longer. Like sounds.
This post may be rubbish. YMMV
Posted By: joshsPosted By: Andrew PalfreymanJust a side note about higher ordertime derivatives, which are often attributed almost magical properties by the more whimsical. For asinewave, these increase in magnitude for each higher order, the multiplicative coefficient being "omega" = 2*PI*frequency. So the Nth order time derivative is omega^N bigger than the fundamental.
At the birth of the radio era, electrical sinewaves came into general use. Nothing unexpected was seen then, nor has been since, in respect of these Nth order terms. I expect nature has sinewaves of her own too, and they've been going much longer. Like sounds.
This post may be rubbish.YMMV
Posted By: Angusd/d(wt) sin (wt) = cos(wt)I'm doing d/dt
Posted By: Andrew PalfreymanThe default formula for a time-varying sinusoid is sin (wt)
Posted By: AngusSo what's your version of this default? I'm ignoring amplitude and phase, since they don't contribute to the discussion about time derivatives of course. But if you insist, the default is A sin(wt + phi)Posted By: Andrew PalfreymanThe default formula for a time-varying sinusoid is sin (wt)
There I would have to disagree.
Posted By: LakesAndrew needs a flux capacitor for all those Jigga-watts ;)It is a sign of a Russian script writer or science advisor. Giga is pronounced "jigga" by Russians.
Posted By: AngusGermany
Where they actually know how to make beer.