Talk:Sawtooth wave

message: A plot of RAM usage of the Wikipedia web servers is http://wikimedia.org/stats/live/org.wikimedia.browne.squid.cache.ram.usage.html in the shape of a sawtooth wave]: Memory leaks cause memory use to increase linearly until reboot, at which point it falls to minimum. When this repeats a sawtooth wave is produced.
:doesn't seem to happen anymore.
::I moved this to talk since it interested me (it doesn't belong in the article regardless, being an example of self-reference). Hyacinth 00:44, 8 Feb 2005 (UTC)
thread_title:  Relevance to Wikipedia 

message: Does anyone know how to calculate the rms amplitude of a sawtooth wave? Adamd1008 (talk) 16:31, 15 June 2008 (UTC)
replies: text: a/sqrt(3) (via simple integration of the square of the amplitude).  PhysicistQuery (talk) 10:39, 17 August 2022 (UTC)
thread_title:  rms? 

message: As it happens, Montgomery and Vaughan have a couple of pages on this, but it still needs improvement.  Richard Pinch (talk) 20:46, 28 August 2008 (UTC)
thread_title:  References 

message: The article does only treat electromagnetical waves. But the sawtooth wave has also great importance in acoustics (for example for synthesizers). But there are some difficulties in translation of EM into sound waves. An inverse sawtooth (starts with a sudden rise in amplitude and then decays linearly) for example would translate into a periodic series of shock waves, if the amplitude is taken as pressure. A translation into a displacement amplitude would not be possible since it would require the air molecules to travel at infinite speed at the vertical section. So how does the air move in a sawtooth sound wave in air? I think this would merit a separte section or subsection in the article.--SiriusB (talk) 09:01, 18 February 2009 (UTC)
replies: text: Low-frequency sawtooth waves were used a lot in music from Pokémon Mystery Dungeon (as percussion). But higher-frequency sawtooths are annoying. 68.173.113.106 (talk) 16:01, 4 December 2011 (UTC)
thread_title:  Sawtooth sound waves 

message: There is a lot information in the application section, explaining the technical details of electron beam tracing in CRTs. IMO these do not belong to this article and should be deleted. Stony74 (talk) 14:06, 8 May 2009 (UTC)
replies: text: About "The ramp portion of the wave must appear as a straight line. If otherwise, it indicates that the voltage isn't increasing linearly". That is incorrect.  It should read "that the current isn't increasing linearly".  That's because a CRT deflection yoke produces a magnetic field proportional to current.  And due to high coil inductance at 15.734 kHz, the voltage is a differentiation of the sawtooth current, leading to a voltage flyback pulse.  As for vertical, the typical yoke has maybe half its impedance as resistive and half as as inductance, leading to a voltage waveform that is trapezoid-like, although a straight edge on the voltage waveform can be seen. So I'm gonna change it. Ohgddfp (talk) 01:26, 14 October 2020 (UTC)
thread_title: Application section

message: Is it helpful to add a subject that explains an easy way to construct a sawtooth function, e.g. by using the reminder from a division?  — Preceding unsigned comment added by 134.221.172.174 (talk) 07:31, 3 October 2011 (UTC)
thread_title:  reminder 

message: The thirth equation ist incorrect, change the sign on the floor function:
:= 2 \left( {t \over a} - \operatorname{floor} \left( {t \over a} + {1 \over 2} \right) \right)  — Preceding unsigned comment added by 195.80.218.48 (talk) 19:03, 1 April 2012 (UTC)
thread_title:  Change de sign 

message: Hi. I don't dispute the formula that's present in the article right now.  But there is another, very simple, way to describe the sawtooth wave function.  This is often found in digital implementations (e.g. in software) but it is not inherently digital.
:f\left(t\right) = t \operatorname{modulo} R
:This generates a sawtooth waveform with range [0..R).
--Ds13 (talk) 18:05, 4 November 2012 (UTC)
thread_title:  Alternative, simple description of the waveform 

message: That factor just shifts the wave by 1/2 a period and makes a simple idea more complicated, doesn't seem to be needed. 
129.55.200.20 (talk) 16:52, 21 December 2012 (UTC)
replies: text: Maybe because otherwise the equation wouldn't be correct? —Kri (talk) 19:38, 22 December 2012 (UTC)

text: It would, indeed, be correct, just with a different phase. Check this plot with (-1)^k and this plot without (-1)^k --Leonardo Monteiro Fernandes (talk) 13:12, 2 May 2016 (UTC)
thread_title:  Why the (-1)^k ? 

message: The sixth equation in the text (giving the spectrum of the sawtooth) appears to be incorrect.  It should be the same as the equation given in the summary box. PhysicistQuery (talk) 10:53, 17 August 2022 (UTC)
thread_title: Another error in typing?