2
$\begingroup$

Say we have a square wave and its Fourier series. When the wave doesn't jump, its oscillators aren't aligned:

But if they are aligned, the wave will jump:

What is this moment called? They might not be necessary in the same angle, and I don't think "resonating together" is correct, since they have different frequencies. What is it called when all oscillators aligned to make a jump?


Meta discussion: Why are questions asking for terms off-topic?

|improve this question
$\endgroup$
  • $\begingroup$ Coincidence of zero crossings and same sign of derivation? $\endgroup$ – Max Mar 20 '18 at 9:45
  • $\begingroup$ too long........... $\endgroup$ – Ooker Mar 20 '18 at 10:49
  • $\begingroup$ Try searching on "gibbs phenomenon". Those are the little squiggles you see on the flat part of your square wave. $\endgroup$ – Cedron Dawg Mar 20 '18 at 12:04
2
$\begingroup$

Phasor Alignment : The individual frequency component phasors of the square wave are aligning, but I don't think this is a well-defined (or previously-defined) term.

|improve this answer
$\endgroup$
3
$\begingroup$

I think the word/phrase you are looking for is "discontinuity" / "discontinuity in the source signal". Although a jump is always a discontinuity, a discontinuity is not always a jump. When it isn't a jump, it is known as a pluggable discontinuity, i.e. you can define a value to plug a hole. The sinc function at zero is an example of this. So to be more specific you would say "an unpluggable discontinuity".

Whether a series of continuous functions could converge to a discontinuous function was a question that led to some very serious, and non-intuitive, math.

As far as I know, there is no word to describe the state of the components at this moment. The closest word I can think of is a secondary meaning of "concordance" = "agreement".

Hope this helps.

Ced

|improve this answer
$\endgroup$
  • $\begingroup$ I find out that the term is actually removable discontinuity. But yes, I'm looking for a word of the state of the components. If you think there is no word for this, I think this question is better suited in English Language & Usage $\endgroup$ – Ooker Mar 20 '18 at 12:05
3
$\begingroup$

It is the time of maximum constructive interference of the derivatives of the harmonics. That's a physics term, but widely known.

|improve this answer
$\endgroup$
0
$\begingroup$

One can simply say the oscillators are in sync, or synchronized. Some other synonyms of the synchronization in English are: conjunction co-occurrence, concurrence, coincidence, coexistence, simultaneity, contemporaneity, concomitance, synchronicity, synchrony

|improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.